problem_text,correct_answer,ai_generated,grade,standard_id,standard_description,has_figures,is_mc,year,choice_a,choice_b,choice_c,choice_d "Nina works for a restaurant. The restaurant pays her every week for the work she does. Some weeks she works more hours than other weeks. Which statement is most likely true? A When Nina works fewer hours, she earns more income from the restaurant. B When Nina works more hours, she earns more income from the restaurant. C When Nina works more hours, the restaurant gets less labor from her. D When Nina works fewer hours, the restaurant gets more labor from her.",B,False,3,3.9A,Explain the connection between human capital/labor and income.,False,True,2018,,,, "A band plays 8 songs at every show. Last year the band had 8 shows. Which model can be used to find the number of songs the band played at shows last year? F d d d d d d d d d d d d d d d d [Model F showing 2 rows of 8 musical notes each.] |\ |\ |\ |\ |\ |\ |\ |\ H @ @ @ @ @ @ @ @ |\ |\ @ @ [Model H showing a collection of musical notes arranged in two rows: 8 notes in the top row and 2 notes in the bottom row.] d d d d d d d d d d d d d d d d d d G d d d d d d d d d d d d d d d d d d d d d d d d d d d d d d [Model G featuring a grid of eighth notes arranged in 8 rows and 6 columns.] d d d d d d d d d d d d d d d d d d d d d d d d J d d d d d d d d d d d d d d d d d d d d d d d d d d d d d d d d d d d d d d d d [Model J: A rectangular array of music notes arranged into 8 rows and 8 columns.]",D,False,3,3.5B,"Represent and solve one- and two-step multiplication and division problems within 100 using arrays, strip diagrams, and equations.",True,True,2018,,,, "Gretchen made this table to show the side lengths and perimeters of three figures. Gretchen's Figures ┌───────────┬──────────────────────┬───────────────────┐ │ Figure │ Side Lengths (yards) │ Perimeter (yards) │ ├───────────┼──────────────────────┼───────────────────┤ │ Square │ 6, 6, 6, 6 │ 24 │ ├───────────┼──────────────────────┼───────────────────┤ │ Triangle │ 4, 7, 8 │ 19 │ ├───────────┼──────────────────────┼───────────────────┤ │ Rectangle │ 4, 8, 4, 8 │ 32 │ └───────────┴──────────────────────┴───────────────────┘ What mistake, if any, did Gretchen make? A The perimeter of the rectangle should be 24 yards. B The perimeter of the square should be 36 yards. C The perimeter of the triangle should be 20 yards. D Gretchen did not make any mistakes in the table.",A,False,3,3.7B,Determine the perimeter of a polygon or a missing length when given perimeter and remaining side lengths in problems.,False,True,2018,,,, "Which of these models represent the same number? Model X (20 single units) [] [] [] [] [] [] [] [] [] [] [] [] [] [] [] [] [] [] [] [] Model Y (20 'ten' rods) [||||||||] [||||||||] [||||||||] [||||||||] [||||||||] [||||||||] [||||||||] [||||||||] [||||||||] [||||||||] [||||||||] [||||||||] [||||||||] [||||||||] [||||||||] [||||||||] [||||||||] [||||||||] [||||||||] [||||||||] Model Z (2 'hundred' flats) +--------+ |########| |########| |########| |########| +--------+ +--------+ |########| |########| |########| |########| +--------+ [Diagram representing three numbers using base-ten blocks. Model X displays 20 individual 'one' units. Model Y displays 20 'ten' rods arranged in two columns. Model Z displays two 'hundred' flats (large 10x10 blocks) stacked vertically.] F Model X and Model Y, because 20 ones is equivalent to 20 tens. G Model X and Model Z, because 20 ones is equivalent to 2 hundreds. H Model Y and Model Z, because 20 tens is equivalent to 2 hundreds. J None of these",C,False,3,3.2B,Describe the mathematical relationships found in the base-10 place value system through the hundred thousands place.,True,True,2018,,,, Lin has a total of 36 sodas in packs. There are 6 sodas in each pack. How many packs of sodas does Lin have?,6,False,3,3.4F,Recall facts to multiply up to 10 by 10 with automaticity and recall the corresponding division facts.,False,False,2018,,,, "The number lines model two different fractions. __ __ / \ / \ / \/ v <---+-----+-----+-----+-----+-----+-----+-----+---> 0 1 __ / \ / v <---+-----+-----+-----+-----+-----+-----+-----+---> 0 1 [Two number lines extending from 0 to 1. Both lines are divided into 8 equal intervals (eighths). The top number line shows two consecutive curved arrows, each jumping one interval to the right, landing at the second mark. The bottom number line shows a single curved arrow jumping one interval to the right, landing at the first mark.] Which comparison of these fractions is true? F \frac{1}{2} > \frac{1}{8} G \frac{2}{8} > \frac{1}{8} H \frac{1}{8} = \frac{2}{8} J \frac{2}{8} < \frac{1}{8}",B,False,3,3.3H,"Compare two fractions having the same numerator or denominator in problems by reasoning about their sizes and justifying the conclusion using symbols, words, objects, and pictorial models.",True,True,2018,,,, "The table shows the relationship between the number of toy airplanes made in a factory and the number of batteries needed for the airplanes. Batteries for Toy Airplanes ┌─────────────────────────┬────┬────┬────┬────┬────┬────┐ │ Number of Toy Airplanes │ 5 │ 7 │ 9 │ 11 │ 13 │ 15 │ ├─────────────────────────┼────┼────┼────┼────┼────┼────┤ │ Number of Batteries │ 15 │ 21 │ 27 │ 33 │ 39 │ 45 │ └─────────────────────────┴────┴────┴────┴────┴────┴────┘ Based on the relationship shown in the table, which statement is true? A The number of batteries is equal to the number of toy airplanes times 3. B The number of batteries is equal to the number of toy airplanes times 2. C The number of batteries is equal to the number of toy airplanes times 6. D The number of batteries is equal to the number of toy airplanes times 5.",A,False,3,3.5E,Represent real-world relationships using number pairs in a table and verbal descriptions.,False,True,2018,,,, "Four fraction models are shown. Model 1 +-----+-----+-----+ |#####|#####| | |#####|#####| | |#####|#####| | |#####|#####| | +-----+-----+-----+ [Model 1: A rectangular area model divided into three equal vertical sections, with the first two sections shaded.] Model 2 +-----+-----+-----+ |#####| |#####| |#####| |#####| +-----+-----+-----+ |#####| |#####| |#####| |#####| +-----+-----+-----+ [Model 2 showing a rectangle divided into a grid of 6 equal parts (2 rows by 3 columns). The four sections in the left and right columns are shaded, while the two sections in the center column are unshaded.] Model 3 +----+----+----+ | |####| | | |####| | | |####| | | |####| | | |####| | +----+----+----+ [Model 3: A rectangle divided into three equal vertical columns, with the middle column shaded.] Model 4 +-----+-----+ |#####|#####| |#####|#####| |#####|#####| +-----+-----+ |#####|#####| |#####|#####| |#####|#####| +-----+-----+ [Model 4: A rectangle divided into four equal parts (a 2x2 grid), where all four parts are shaded.] Which two models are shaded to show equivalent fractions? F Models 1 and 2 G Models 1 and 3 H Models 2 and 4 J Models 2 and 3",A,False,3,3.3F,"Represent equivalent fractions with denominators of 2, 3, 4, 6, and 8 using a variety of objects and pictorial models, including number lines.",True,True,2018,,,, "The figures shown can be sorted into groups. _______ /\ ^ / /| / \________ / \ /______/ | / \ \ / \ | | | /______\_______\ /_____\ |______| / (_______) _______ ____ ___________ (_______) / /| (___________) | | /___/ | | | | | | | | (___________) |_______| |___|/ (_______) [Two rows of 3D geometric figures. Top row: a rectangular prism, a triangular prism, and a cone. Bottom row: a tall cylinder, a cube, and a short, wide cylinder.] Which list shows a correct way to group the figures? A 2 prisms, 1 cone, 2 cylinders, and 1 pyramid B 3 prisms, 1 cone, and 2 cylinders C 2 prisms, 2 cylinders, 1 sphere, and 1 cube D 3 prisms, 1 cylinder, and 2 cones",B,False,3,3.6A,"Classify and sort two- and three-dimensional figures, including cones, cylinders, spheres, triangular and rectangular prisms, and cubes, based on attributes using formal geometric language.",True,True,2018,,,, "What number goes in the _____________________ to make the equation true? \square \div 11 = 9 F 99 G 91 H 20 J 2",A,False,3,3.5D,Determine the unknown whole number in a multiplication or division equation relating three whole numbers when the unknown is either a missing factor or product.,False,True,2018,,,, "The list shows the number of ribbons of each color that a school ordered for a science fair. • 12 blue • 18 red • 36 green • 60 purple Which pictograph best represents the information in the list? Science Fair Ribbons +--------+-------------------+ | Blue | @ @ @ | +--------+-------------------+ | Red | @ @ @ @ @ | A +--------+-------------------+ | Green | @ @ @ @ @ @ @ @ @| +--------+-------------------+ | Purple | @ @ @ @ @ @ @ @ | | | @ @ @ @ @ @ @ | +--------+-------------------+ Each @ means 4 ribbons. [A pictograph labeled 'A' showing rows of ribbon icons for Blue, Red, Green, and Purple categories, with a key stating the value of each icon.] Science Fair Ribbons +--------+-----------------------+ | Blue | (@) | +--------+-----------------------+ | Red | (@) ( | +--------+-----------------------+ C | Green | (@) (@) (@) | +--------+-----------------------+ | Purple | (@) (@) (@) (@) (@)| +--------+-----------------------+ Each (@) means 12 ribbons. [Pictograph labeled C displaying the quantity of ribbons for Blue, Red, Green, and Purple categories, including a key defining the numerical value of one ribbon icon.] Science Fair Ribbons +--------+--------------------------+ | Blue | & & | +--------+--------------------------+ | Red | & & & | +--------+--------------------------+ B | Green | & & & & & & | +--------+--------------------------+ | | & & & & & & & & | | Purple | & & | +--------+--------------------------+ Key: Each & means 6 ribbons. [Pictograph labeled 'Science Fair Ribbons' (Option B) displaying rows of ribbon icons for Blue, Red, Green, and Purple categories, with a key indicating the numerical value of each icon.] Science Fair Ribbons +--------+-----------------------------+ | Blue | & & | +--------+-----------------------------+ | Red | & & | D +--------+-----------------------------+ | Green | & & & & | +--------+-----------------------------+ | Purple | & & & & & & & | +--------+-----------------------------+ Each & means 9 ribbons. [Pictograph labeled 'D' titled 'Science Fair Ribbons'. The chart lists colors Blue, Red, Green, and Purple. Blue and Red rows have 2 icons each, Green has 4 icons, and Purple has 7 icons. A key at the bottom states that each icon represents 9 ribbons.]",C,False,3,3.8A,"Summarize a data set with multiple categories using a frequency table, dot plot, pictograph, or bar graph with scaled intervals.",True,True,2018,,,, "Tyrese had 572 baseball cards. He sold some of the baseball cards and then had 98 baseball cards left. Which equation could NOT be used to find the number of baseball cards Tyrese sold? F 572 - \square = 98 G 572 - 98 = \square H 98 + \square = 572 J 98 + 572 = \square",D,False,3,3.5A,"Represent one- and two-step problems involving addition and subtraction of whole numbers to 1,000 using pictorial models, number lines, and equations.",False,True,2018,,,, "A rectangular business card is shown. Use the ruler provided to measure the length and width of the business card to the nearest centimeter. +----------------------------------------------------------------------+ | | | Jerry's Balloon Arrangements | | 1-512-555-3636 | | | | _ _ | | _( )_ _( )_ | | (_( )_) (_( )_) | | \|/ \|/ | | | | | | | +----------------------------------------------------------------------+ [An ASCII representation of the rectangular business card for Jerry's Balloon Arrangements, displaying the company name, phone number, and two balloon clusters.] Which measurement is closest to the perimeter of the business card in centimeters? A 14 cm B 28 cm C 45 cm D 32 cm",B,False,3,3.7B,Determine the perimeter of a polygon or a missing length when given perimeter and remaining side lengths in problems.,True,True,2018,,,, There are 297 peach trees on a farm. There are 615 peach trees on a different farm. What is the difference between the numbers of peach trees on these farms?,318,False,3,3.4A,"Solve with fluency one-step and two-step problems involving addition and subtraction within 1,000 using strategies based on place value, properties of operations, and the relationship between addition and subtraction.",False,False,2018,,,, "The picture represents the trophies 3 brothers have on a shelf. Each brother won the same number of trophies. (\ /) _(@)_ ^ \___/ _o_ ___ ( ) ( # ) /|\ | | (/_ /_, \ \_/ `._.' ( * ) \_/ / ) (___) | | / \ | /_/ Y __|__ __|__ __|__ __|__ __|__ __|__ |_____| |_____| |_____| |_____| |_____| |_____| ================================================================= [A lineup of six distinct trophies on a shelf, including cups, a soccer ball, a star, a football player, and a sneaker.] What fraction of the trophies did each brother win? A \frac{2}{3} B \frac{2}{6} C \frac{3}{6} D \frac{3}{3}",B,False,3,3.3E,"Solve problems involving partitioning an object or a set of objects among two or more recipients using pictorial representations of fractions with denominators of 2, 3, 4, 6, and 8.",True,True,2018,,,, "A group of 64 children and 24 adults will travel to a zoo in vans. There will be 8 people in each van. How many vans will be needed to take the group to the zoo? F 11 G 80 H 8 J 5",A,False,3,3.4K,"Solve one-step and two-step problems involving multiplication and division within 100 using strategies based on objects; pictorial models, including arrays, area models, and equal groups; properties of operations; or recall of facts.",False,True,2018,,,, "A container of liquid laundry detergent at a grocery store is marked with the volume of detergent inside. Which unit of measurement could be marked on the container? A Kilograms B Meters C Pounds D Liters",D,False,3,3.7D,Determine when it is appropriate to use measurements of liquid volume (capacity) or weight.,False,True,2018,,,, "A store is having a sale on books. The sale price of each book is $6 less than the regular price. Which table shows prices of different books at this store? F Book Sale ┌───────────────┬─────┬─────┬─────┬─────┐ │ Regular Price │ $12 │ $19 │ $26 │ $33 │ ├───────────────┼─────┼─────┼─────┼─────┤ │ Sale Price │ $18 │ $25 │ $32 │ $39 │ └───────────────┴─────┴─────┴─────┴─────┘ G Book Sale ┌───────────────┬─────┬─────┬─────┬─────┐ │ Regular Price │ $18 │ $25 │ $32 │ $39 │ ├───────────────┼─────┼─────┼─────┼─────┤ │ Sale Price │ $12 │ $19 │ $26 │ $33 │ └───────────────┴─────┴─────┴─────┴─────┘ H Book Sale ┌───────────────┬─────┬─────┬─────┬─────┐ │ Regular Price │ $36 │ $30 │ $24 │ $18 │ ├───────────────┼─────┼─────┼─────┼─────┤ │ Sale Price │ $34 │ $28 │ $22 │ $16 │ └───────────────┴─────┴─────┴─────┴─────┘ J Book Sale ┌───────────────┬─────┬─────┬─────┬─────┐ │ Regular Price │ $36 │ $30 │ $24 │ $18 │ ├───────────────┼─────┼─────┼─────┼─────┤ │ Sale Price │ $6 │ $5 │ $4 │ $3 │ └───────────────┴─────┴─────┴─────┴─────┘",B,False,3,3.5E,Represent real-world relationships using number pairs in a table and verbal descriptions.,False,True,2018,,,, "Dominique put figures into groups based on certain attributes. Sometimes she put figures into more than one group. Dominique's Figures ┌───────┬─────────────────────────┐ │ Group │ Attribute │ ├───────┼─────────────────────────┤ │ 1 │ Has all sides congruent │ ├───────┼─────────────────────────┤ │ 2 │ Has exactly 4 sides │ ├───────┼─────────────────────────┤ │ 3 │ Is a polygon │ └───────┴─────────────────────────┘ Which statement is true? A A square could be put into all the groups. B A triangle could be put into all the groups. C A rectangle could be put into Groups 1 and 2 only. D A pentagon could be put into Group 1 only.",A,False,3,3.6A,"Classify and sort two- and three-dimensional figures, including cones, cylinders, spheres, triangular and rectangular prisms, and cubes, based on attributes using formal geometric language.",False,True,2018,,,, "Hakeem received 13 phone calls on Tuesday. This expression can be used to show the number of phone calls he received on Saturday. 13 \times 4 Which statement is true? F Hakeem received 4 more phone calls on Saturday than he received on Tuesday. G Hakeem received 4 more phone calls on Tuesday than he received on Saturday. H Hakeem received 4 times as many phone calls on Saturday as he received on Tuesday. J Hakeem received 4 times as many phone calls on Tuesday as he received on Saturday.",C,False,3,3.5C,Describe a multiplication expression as a comparison such as 3 x 24 represents 3 times as much as 24.,False,True,2018,,,, "The expanded notation of a number is shown. (9 \times 10,000) + (4 \times 100) + (1 \times 10) What is the standard form of this number? A 9,410 B 94,010 C 90,401 D 90,410",D,False,3,3.2A,"Compose and decompose numbers up to 100,000 as a sum of so many ten thousands, so many thousands, so many hundreds, so many tens, and so many ones using objects, pictorial models, and numbers, including expanded notation as appropriate.",False,True,2018,,,, "Noah has 48 cookies. The model represents what he did with the cookies. +-------+ +-------+ | o o o | | o o o | | o o o | | o o o | +-------+ +-------+ +-------+ +-------+ | o o o | | o o o | | o o o | | o o o | +-------+ +-------+ +-------+ +-------+ | o o o | | o o o | | o o o | | o o o | +-------+ +-------+ \ / \ / +-------+ +-------+ | o o o | | o o o | | o o o | | o o o | +-------+ +-------+ / \ / \ [A diagram showing 8 bags arranged in pairs. Each bag contains 6 cookies. The pair of bags in the bottom row is crossed out with a large 'X'.] Based on the model, which of these could explain what Noah did with the cookies? F He put (48 \div 8) cookies into each of 8 bags and ate (2 \times 6) of the cookies. G He put (48 \div 6) cookies into each of 8 bags and ate (2 \times 8) of the cookies. H He put (48 - 6) cookies into each of 8 bags and ate (2 \times 6) of the cookies. J He put (48 \times 6) cookies into each of 8 bags and ate (2 + 6) of the cookies.",A,False,3,3.5B,"Represent and solve one- and two-step multiplication and division problems within 100 using arrays, strip diagrams, and equations.",True,True,2018,,,, "There are 4 books on a shelf. In the model the shaded books represent nonfiction books. _____ _____ _____ _____ |#####| |#####| | | |#####| |#####| |#####| | | |#####| |#####| |#####| | | |#####| |#####| |#####| | | |#####| |#####| |#####| | | |#####| |#####| |#####| | | |#####| |_____| |_____| |_____| |_____| _________________________________ |_________________________________| [A diagram of four books arranged on a shelf. To represent the shading in the original image, the first, second, and fourth books are filled with hash marks, while the third book is left empty.] Which expression represents the fraction of the books on the shelf that are nonfiction? A \frac{1}{4} + \frac{1}{4} + \frac{1}{4} + \frac{1}{4} B \frac{1}{4} + \frac{1}{4} + \frac{1}{4} C \frac{1}{3} + \frac{1}{3} + \frac{1}{3} D \frac{3}{1} + \frac{3}{1} + \frac{3}{1}",B,False,3,3.3D,Compose and decompose a fraction a/b with a numerator greater than zero and less than or equal to b as a sum of parts 1/b.,True,True,2018,,,, "The frequency table shows the number of points scored by each player on a basketball team during a game. Points Scored ┌─────────┬──────────────────┐ │ Player │ Tally │ ├─────────┼──────────────────┤ │ Stephen │ ||||| ||||| |||| │ ├─────────┼──────────────────┤ │ Alfred │ |||| │ ├─────────┼──────────────────┤ │ Kenji │ ||||| ||||| || │ ├─────────┼──────────────────┤ │ Pete │ ||||| ||| │ ├─────────┼──────────────────┤ │ Eric │ ||||| ||||| || │ ├─────────┼──────────────────┤ │ Wesley │ ||||| | │ ├─────────┼──────────────────┤ │ Hayes │ ||||| ||||| │ └─────────┴──────────────────┘ What is the combined number of points scored by Stephen, Alfred, Pete, and Wesley?",32,False,3,3.8B,"Solve one- and two-step problems using categorical data represented with a frequency table, dot plot, pictograph, or bar graph with scaled intervals.",False,False,2018,,,, "The model shown can represent two number sentences. * * * *** *** *** * * * * * * *** *** *** * * * [A visual model consisting of six star symbols arranged in a rectangular grid.] Which two number sentences can the model represent? A 3 \times 3 = \square 3 + 3 = \square B 3 \times 2 = \square 3 + 3 = \square C 2 \times 3 = \square 2 \times 2 \times 2 = \square D 3 + 3 + 3 = \square 2 + 2 + 2 = \square",B,False,3,3.4E,"Represent multiplication facts by using a variety of approaches such as repeated addition, equal-sized groups, arrays, area models, equal jumps on a number line, and skip counting.",True,True,2018,,,, "Kailani drew four congruent squares. She shaded the same fraction of each square. This is one of Kailani's squares. ______________________ |//////////////////////| |----------------------| | | |----------------------| | | |----------------------| | | |----------------------| | | |----------------------| | | |----------------------| | | |----------------------| | | |----------------------| | | |----------------------| | | |______________________| [A square figure divided into 10 equal horizontal strips, with the top strip shaded (represented by slashes).] Which square CANNOT be another one of Kailani's squares? +-----------+-----------+ | |###########| | |###########| +-----------+-----------+ | | | | | | +-----------+-----------+ F | | | | | | +-----------+-----------+ | | | | | | +-----------+-----------+ [Figure F: A square divided by one vertical line and three horizontal lines into a grid of eight smaller rectangles, with the top-right section shaded.] +----------+----------+ |\ | | |#\ | | H |##\ | | |###\ | | +----\-----+----------+ | \ |\ | | \ | \ | | \ | \ | | \ | \ | +----------+----------+ [A square labeled 'H' is divided into four quadrants by a vertical and a horizontal centerline. Two parallel diagonal lines are drawn: one from the top-left corner to the bottom-center (the midpoint of the bottom edge) of the square, and another from the top-center to the bottom-right corner. A triangular region in the top-left quadrant, bounded by the left edge, the horizontal centerline, and the first diagonal, is shaded gray.] +--------+--------+ |\ |\ | | \ | \ | | \ | \ | | \ | \ | G +--------+--------+ |\ |\ | |##\ | \ | |####\ | \ | |######\ | \ | +--------+--------+ [Square G divided into a 2x2 grid of smaller squares. Each smaller square is bisected by a diagonal line from its top-left to its bottom-right corner. The triangular area below the diagonal in the bottom-left square is shaded gray.] +-------+-------+-------+-------+ | | |#######| | | | |#######| | J | | |#######| | +-------+-------+-------+-------+ | | | | | | | | | | | | | | | +-------+-------+-------+-------+ [A square labeled 'J' is divided into a grid with 2 rows and 4 columns, creating 8 equal rectangular sections. The third section from the left in the top row is shaded.]",C,False,3,3.6E,Decompose two congruent two-dimensional figures into parts with equal areas and express the area of each part as a unit fraction of the whole and recognize that equal shares of identical wholes need not have the same shape.,True,True,2018,,,, "Elisha listed the amounts she paid for guitar lessons for three months. • February: $78 • March: $90 • April: $156 What is the amount Elisha paid for guitar lessons for these three months? A $314 B $324 C $114 D $325",B,False,3,3.4A,"Solve with fluency one-step and two-step problems involving addition and subtraction within 1,000 using strategies based on place value, properties of operations, and the relationship between addition and subtraction.",False,True,2018,,,, "The models shown are the same size and are each divided into equal-size parts. The models are shaded to represent two fractions. Model 1 (Left) Model 2 (Right) _______ _______ .'\ `. .' | `. /###\ \ / | \ |#####\ | | | | |######+------| |------+------| |#####/#######| |######|######| \###/#######/ \#####|#####/ `./_______.' `.___|___.' [Two circular models of equal size. The left model is divided into three equal sectors with two shaded gray. The right model is divided into four equal sectors with the bottom two shaded gray.] Which statement is true? F \frac{2}{3} > \frac{2}{4}, because thirds are larger than fourths. G \frac{2}{3} = \frac{2}{4}, because each model has 2 parts shaded. H \frac{1}{3} < \frac{1}{4}, because 3 is less than 4. J \frac{1}{3} = \frac{1}{4}, because each model shows 1 whole.",A,False,3,3.3H,"Compare two fractions having the same numerator or denominator in problems by reasoning about their sizes and justifying the conclusion using symbols, words, objects, and pictorial models.",True,True,2018,,,, "The picture shows the coins that are in a piggy bank. .-------. .-----. .-----. / 25c \ ( 5c ) ( 5c ) ( QUARTER ) `-----' `-----' \ / `-------' .-------. .--. .-----. / 25c \ ( 10c) ( 5c ) ( QUARTER ) `--' `-----' \ / `-------' .-----. .-----. ( 5c ) ( 5c ) .-------. `-----' `-----' / 25c \ ( QUARTER ) \ / `-------' [An arrangement of 9 US coins, identifying their denominations based on size and design: 3 Quarters (25 cents), 5 Nickels (5 cents), and 1 Dime (10 cents).] Which dot plot represents the value in cents of each coin in the piggy bank? Coins in a Piggy Bank o o o o o o o o o A <---+---+---+---+---+---+---+---+---+---+---> 0 10 20 30 40 50 Value of Coin (cents) [Dot plot A labeled 'Coins in a Piggy Bank'. The number line for 'Value of Coin (cents)' goes from 0 to 50 in increments of 5. There are 9 dots placed evenly at every mark from 5 up to 45.] Coins in a Piggy Bank o o o o o o B o o o <--|--|--|--|--|--|--|--|--|--|--|--> 0 10 20 30 40 50 Value of Coin (cents) [Dot plot 'B' titled 'Coins in a Piggy Bank'. The x-axis represents 'Value of Coin (cents)' ranging from 0 to 50 in increments of 5. The plot shows clusters of dots indicating the count of coins at specific values: a stack of 4 dots at 5 cents, a stack of 2 dots at 10 cents, and a stack of 3 dots at 30 cents.] Coins in a Piggy Bank o o o C <-----+---+---+---+---+---+---+---+---+---+-----> 0 10 20 30 40 50 Value of Coin (cents) [A dot plot labeled 'C' with the title 'Coins in a Piggy Bank'. The horizontal axis represents the 'Value of Coin (cents)' and is marked from 0 to 50 in increments of 5. The plot displays exactly three data points: one dot at 5, one dot at 10, and one dot at 25.] Coins in a Piggy Bank o o o o o o D o o o <---+---+---+---+---+---+---+---+---+---+--> 0 10 20 30 40 50 Value of Coin (cents) [Dot plot D titled 'Coins in a Piggy Bank'. The horizontal axis represents 'Value of Coin (cents)' ranging from 0 to 50 with tick marks every 5 units. The data shows: 4 dots stacked at 5 cents, 2 dots stacked at 10 cents, and 3 dots stacked at 25 cents.]",D,False,3,3.8A,"Summarize a data set with multiple categories using a frequency table, dot plot, pictograph, or bar graph with scaled intervals.",True,True,2018,,,, "There are a total of 294 restaurants in a city. • Of these restaurants, 196 are along the highways, and 49 are downtown. • The rest of the restaurants are in shopping malls. Which model can be used to find the number of restaurants in the city that are in shopping malls? F ┌────────────────┐ │ ? │ ├─────┬─────┬────┤ │ 294 │ 196 │ 49 │ └─────┴─────┴────┘ G ┌──────────────┐ │ 294 │ ├─────┬────┬───┤ │ 196 │ 49 │ ? │ └─────┴────┴───┘ H ┌──────────────┐ │ 196 │ ├─────┬────┬───┤ │ 294 │ 49 │ ? │ └─────┴────┴───┘ J ┌───────────────┐ │ 49 │ ├─────┬─────┬───┤ │ 294 │ 196 │ ? │ └─────┴─────┴───┘",B,False,3,3.5A,"Represent one- and two-step problems involving addition and subtraction of whole numbers to 1,000 using pictorial models, number lines, and equations.",False,True,2018,,,, "The table shows the weights of four elephants. Elephant Weights ┌──────────┬─────────────────┐ │ Elephant │ Weight (pounds) │ ├──────────┼─────────────────┤ │ R │ 12,345 │ ├──────────┼─────────────────┤ │ S │ 13,960 │ ├──────────┼─────────────────┤ │ T │ 12,509 │ ├──────────┼─────────────────┤ │ U │ 11,960 │ └──────────┴─────────────────┘ Which comparison of these weights is true? A The weight of Elephant R < the weight of Elephant T B The weight of Elephant U > the weight of Elephant T C The weight of Elephant S = the weight of Elephant U D The weight of Elephant S < the weight of Elephant T",A,False,3,3.2D,"Compare and order whole numbers up to 100,000 and represent comparisons using the symbols >, <, or =.",False,True,2018,,,, "Maria put cloth squares together to make a blanket. The blanket is modeled by this rectangle. +---+---+---+---+---+---+---+---+ | | | | | | | | | +---+---+---+---+---+---+---+---+ | | | | | | | | | +---+---+---+---+---+---+---+---+ | | | | | | | | | +---+---+---+---+---+---+---+---+ | | | | | | | | | +---+---+---+---+---+---+---+---+ | | | | | | | | | +---+---+---+---+---+---+---+---+ | | | | | | | | | +---+---+---+---+---+---+---+---+ | | | | | | | | | +---+---+---+---+---+---+---+---+ | | | | | | | | | +---+---+---+---+---+---+---+---+ | | | | | | | | | 1 foot | | | | | | | | | +---+---+---+---+---+---+---+---+ |---| 1 foot [A rectangular grid representing the blanket. A vertical label on the bottom-left indicates the height of one row is 1 foot. A horizontal label indicates the width of one column is 1 foot. The decorative patterns inside the squares have been omitted for clarity.] What is the area of the blanket in square feet? F 17 square feet G 34 square feet H 72 square feet J 63 square feet",C,False,3,3.6C,Determine the area of rectangles with whole number side lengths in problems using multiplication related to the number of rows times the number of unit squares in each row.,True,True,2018,,,, "The list shows the number of articles written by different reporters at a newspaper last month. 6, 2, 5, 2, 6, 0, 4, 6, 1, 8, 5, 2, 6, 4, 2 Which dot plot displays the same data? Articles Written by Reporters o o o o o o o o A o o o o o o o <--+--+--+--+--+--+--+--+--+--> 0 1 2 3 4 5 6 7 8 9 Number of Articles [Dot plot labeled 'A' titled 'Articles Written by Reporters'. The x-axis represents the 'Number of Articles' with tick marks from 0 to 9. The plot displays the frequency of reporters for each number of articles: 1 dot at 0, 1 dot at 1, 4 dots at 2, 2 dots at 4, 2 dots at 5, 4 dots at 6, and 1 dot at 9.] Articles Written by Reporters C o o o o o o o <---+---+---+---+---+---+---+---+---+---> 0 1 2 3 4 5 6 7 8 9 Number of Articles [Dot plot C showing the number of articles written. The x-axis is labeled 'Number of Articles' with values from 0 to 9. The plot displays a single dot above the numbers 0, 1, 2, 4, 5, 6, and 8.] Articles Written by Reporters o o o o o o o o B o o o o o o <---+-+-+-+-+-+-+-+-+---> 0 1 2 3 4 5 6 7 8 9 Number of Articles [Dot plot B showing the distribution of articles written by reporters. The x-axis represents the 'Number of Articles' ranging from 0 to 9. Dots are stacked to indicate the frequency for each number: there is 1 dot at 1, 4 dots at 2, 2 dots at 4, 2 dots at 5, 4 dots at 6, and 1 dot at 8. There are no dots plotted at 0, 3, 7, or 9.] Articles Written by Reporters o o o o o o o o D o o o o o o o <--|--|--|--|--|--|--|--|--|--> 0 1 2 3 4 5 6 7 8 9 Number of Articles [Dot plot D showing the frequency distribution of articles written, with the number of articles on the x-axis (0-9) and dots representing the count of reporters for each number.]",D,False,4,4.9A,"Represent data on a frequency table, dot plot, or stem-and-leaf plot marked with whole numbers and fractions.",True,True,2018,,,, "Rita bought three and forty-eight hundredths pounds of bananas at the store. How is this number written in expanded notation? F (3 \times 1) + (4 \times 0.1) + (8 \times 0.01) G (3 \times 100) + (4 \times 10) + (8 \times 1) H (3 \times 1) + (4 \times 0.01) + (8 \times 0.1) J (3 \times 100) + (4 \times 0.1) + (8 \times 0.01)",A,False,4,4.2B,"Represent the value of the digit in whole numbers through 1,000,000,000 and decimals to the hundredths using expanded notation and numerals.",False,True,2018,,,, "Hannah drew straight lines on her driveway with chalk. The table shows the lengths of the lines. Hannah's Chalk Lines ┌──────┬─────────────────┐ │ Line │ Length (meters) │ ├──────┼─────────────────┤ │ P │ 1.8 │ ├──────┼─────────────────┤ │ Q │ 4.05 │ ├──────┼─────────────────┤ │ R │ 7 │ ├──────┼─────────────────┤ │ S │ 7.75 │ └──────┴─────────────────┘ What is the difference in meters between the length of Line S and the length of Line P? A 7.57 m B 5.95 m C 3.70 m D 6.15 m",B,False,4,4.4A,Add and subtract whole numbers and decimals to the hundredths place using the standard algorithm.,False,True,2018,,,, "Which figures appear to have 2 or more lines of symmetry? ________ | | | | ____| |____ | | | | |____ ____| | | | | |________| [Figure K: A cross-shaped polygon.] Figure K /\ / \ / \ / \ \ / \ / \ / \/ [Figure L: A vertical rhombus or diamond shape.] Figure L |\ | \ _________| \ | \ | / |_________| / | / |/ [A right-pointing arrow composed of a rectangular shaft and a triangular head.] Figure M _______________________ | | | | | |________ | \ | > | ________/ | | | | |_______________________| [Figure N: A geometric shape combining a large square on the left with a right-pointing arrow structure.] Figure N F Figures K and L only G Figures M and N only H Figures K, L, and N only J Figures K, L, M, and N",A,False,4,4.6B,"Identify and draw one or more lines of symmetry, if they exist, for a two-dimensional figure.",True,True,2018,,,, "This model is shaded to represent 1 whole. +---+---+---+---+---+---+---+---+---+---+ | # | # | # | # | # | # | # | # | # | # | +---+---+---+---+---+---+---+---+---+---+ | # | # | # | # | # | # | # | # | # | # | +---+---+---+---+---+---+---+---+---+---+ | # | # | # | # | # | # | # | # | # | # | +---+---+---+---+---+---+---+---+---+---+ | # | # | # | # | # | # | # | # | # | # | +---+---+---+---+---+---+---+---+---+---+ | # | # | # | # | # | # | # | # | # | # | +---+---+---+---+---+---+---+---+---+---+ | # | # | # | # | # | # | # | # | # | # | +---+---+---+---+---+---+---+---+---+---+ | # | # | # | # | # | # | # | # | # | # | +---+---+---+---+---+---+---+---+---+---+ | # | # | # | # | # | # | # | # | # | # | +---+---+---+---+---+---+---+---+---+---+ | # | # | # | # | # | # | # | # | # | # | +---+---+---+---+---+---+---+---+---+---+ | # | # | # | # | # | # | # | # | # | # | +---+---+---+---+---+---+---+---+---+---+ [A 10x10 grid representing 1 whole, where all 100 individual squares are marked with '#' to indicate they are shaded.] Zack drew a model that was shaded to represent 0.53. Which model could Zack have drawn? A Image: Six 10x10 grids. The first five are completely shaded gray. The sixth grid has its first three columns shaded gray and the remaining seven columns white. B Image: Two 10x10 grids. Each grid has its first three columns shaded gray and the remaining seven columns white. C Image: Five 10x10 grids, all completely shaded gray. To the right of the fifth grid is a vertical ellipsis (three small squares). D Image: One 10x10 grid. The first three columns are shaded gray, and the remaining seven columns are white.",D,False,4,4.2E,"Represent decimals, including tenths and hundredths, using concrete and visual models and money.",True,True,2018,,,, "Fran bought 4 shirts that were $13 each. She also bought a pair of socks for $4.29. What was the total amount Fran paid for the shirts and socks? F $21.29 G $56.29 H $69.16 J Not here",B,False,4,4.4H,"Solve with fluency one- and two-step problems involving multiplication and division, including interpreting remainders.",False,True,2018,,,, "Angle XYZ and angle XYW have a combined measure of 180^\circ. X / / / [A diagram illustrating a straight line defined by points W, Y, and Z. Point Y serves as the vertex for a ray extending upwards and to the right through point X. This arrangement creates a linear pair of angles: an acute angle XYZ and an obtuse angle XYW.] The measure of angle XYZ is 28^\circ. What is the measure of angle XYW in degrees?",152,False,4,4.7E,Determine the measure of an unknown angle formed by two non-overlapping adjacent angles given one or both angle measures.,True,False,2018,,,, "A number pattern begins with these values. 6, 12, 18, 24, \dots Which table correctly represents the relationship between the position of a number in the pattern and the value of that number? F ┌──────────┬──────────────────────┬───────┐ │ Position │ Numerical Expression │ Value │ ├──────────┼──────────────────────┼───────┤ │ 6 │ 6 \times 1 │ 6 │ ├──────────┼──────────────────────┼───────┤ │ 12 │ 12 \times 1 │ 12 │ ├──────────┼──────────────────────┼───────┤ │ 18 │ 18 \times 1 │ 18 │ ├──────────┼──────────────────────┼───────┤ │ 24 │ 24 \times 1 │ 24 │ └──────────┴──────────────────────┴───────┘ H ┌──────────┬──────────────────────┬───────┐ │ Position │ Numerical Expression │ Value │ ├──────────┼──────────────────────┼───────┤ │ 6 │ 6 \div 6 │ 1 │ ├──────────┼──────────────────────┼───────┤ │ 12 │ 12 \div 6 │ 2 │ ├──────────┼──────────────────────┼───────┤ │ 18 │ 18 \div 6 │ 3 │ ├──────────┼──────────────────────┼───────┤ │ 24 │ 24 \div 6 │ 4 │ └──────────┴──────────────────────┴───────┘ G ┌──────────┬──────────────────────┬───────┐ │ Position │ Numerical Expression │ Value │ ├──────────┼──────────────────────┼───────┤ │ 1 │ 1 + 6 │ 7 │ ├──────────┼──────────────────────┼───────┤ │ 2 │ 2 + 6 │ 8 │ ├──────────┼──────────────────────┼───────┤ │ 3 │ 3 + 6 │ 9 │ ├──────────┼──────────────────────┼───────┤ │ 4 │ 4 + 6 │ 10 │ └──────────┴──────────────────────┴───────┘ J ┌──────────┬──────────────────────┬───────┐ │ Position │ Numerical Expression │ Value │ ├──────────┼──────────────────────┼───────┤ │ 1 │ 1 \times 6 │ 6 │ ├──────────┼──────────────────────┼───────┤ │ 2 │ 2 \times 6 │ 12 │ ├──────────┼──────────────────────┼───────┤ │ 3 │ 3 \times 6 │ 18 │ ├──────────┼──────────────────────┼───────┤ │ 4 │ 4 \times 6 │ 24 │ └──────────┴──────────────────────┴───────┘",D,False,4,4.5B,Represent problems using an input-output table and numerical expressions to generate a number pattern that follows a given rule representing the relationship of the values in the resulting sequence and their position in the sequence.,False,True,2018,,,, "The thickness of Jacob's cell phone is \frac{3}{8} inch. The thickness of Crosby's cell phone is less than Jacob's. Which measurement could be the thickness of Crosby's cell phone? A \frac{2}{5} inch B \frac{4}{7} inch C \frac{1}{3} inch D \frac{5}{6} inch",C,False,4,4.3D,"Compare two fractions with different numerators and different denominators and represent the comparison using the symbols >, =, or <.",False,True,2018,,,, "Keith made a rectangular sign that had a perimeter of 48 inches. Which model could represent the sign Keith made? 32 in. ___________ | | F | | 16 | | in.| | |___________| [Model F showing a rectangle with a top length of 32 in. and a side width of 16 in.] 12 in. +----------+ | | G 12 in. | | | | +----------+ [Model G showing a rectangular figure with top and left side lengths labeled as 12 in.] 12 in. +----------------+ H | | 4 in. | | +----------------+ [Model H: A rectangle with a top side labeled 12 in. and a left side labeled 4 in.] 48 in. __________________________________________________ J | | 2 in. |__________________________________________________| [Model J showing a rectangle with a labeled length of 48 inches and a width of 2 inches.]",B,False,4,4.5D,Solve problems related to perimeter and area of rectangles where dimensions are whole numbers.,True,True,2018,,,, "Darren drank 3 glasses of water every day for 6 days. Each glass contained 12 fl oz of water. Which equation represents w, the total amount of water in fluid ounces that Darren drank during these 6 days? A 3 + 6 + 12 = w B 12 \times 6 = w C 3 \times 6 \times 12 = w D 3 \times 12 \div 6 = w",C,False,4,4.5A,Represent multi-step problems involving the four operations with whole numbers using strip diagrams and equations with a letter standing for the unknown quantity.,False,True,2018,,,, "The table shows the chores Randy did Saturday morning and the amount of time he spent on each chore. Randy's Chores ┌─────────────────────┬──────────────────────────┐ │ Chore │ Amount of Time (minutes) │ ├─────────────────────┼──────────────────────────┤ │ Sweeping the garage │ 40 │ ├─────────────────────┼──────────────────────────┤ │ Raking the yard │ 55 │ ├─────────────────────┼──────────────────────────┤ │ Cleaning tools │ 35 │ ├─────────────────────┼──────────────────────────┤ │ Washing the car │ 45 │ ├─────────────────────┼──────────────────────────┤ │ Weeding the garden │ 30 │ └─────────────────────┴──────────────────────────┘ How much time did Randy spend doing these chores? F 3 hours 25 minutes G 3 hours 30 minutes H 2 hours 5 minutes J 2 hours 45 minutes",A,False,4,4.8C,"Solve problems that deal with measurements of length, intervals of time, liquid volumes, mass, and money using addition, subtraction, multiplication, or division as appropriate.",False,True,2018,,,, "A stadium sold 33,300 tickets to a concert. Which statement about this number is true? A The value of the digit in the tens place is 10 times the value of the digit in the hundreds place. B The value of the digit in the thousands place is \frac{1}{10} the value of the digit in the ten thousands place. C The value of the digit in the hundreds place is 10 times the value of the digit in the thousands place. D The value of the digit in the ten thousands place is \frac{1}{10} the value of the digit in the hundreds place.",B,False,4,4.2A,Interpret the value of each place-value position as 10 times the position to the right and as one-tenth of the value of the place to its left.,False,True,2018,,,, "The table shows different numbers of feet and the equivalent numbers of yards. Equivalent Distances ┌─────────────────┬────────────────┐ │ Number of Yards │ Number of Feet │ ├─────────────────┼────────────────┤ │ 5 │ 15 │ ├─────────────────┼────────────────┤ │ 15 │ 45 │ ├─────────────────┼────────────────┤ │ 25 │ 75 │ ├─────────────────┼────────────────┤ │ 35 │ 105 │ └─────────────────┴────────────────┘ Joey walked 333 feet. How many yards did Joey walk? F 999 yd G 363 yd H 111 yd J 193 yd",C,False,4,4.8B,"Convert measurements within the same measurement system, customary or metric, from a smaller unit into a larger unit or a larger unit into a smaller unit when given other equivalent measures represented in a table.",False,True,2018,,,, A bag of snack mix weighs 8\frac{9}{100} ounces. What decimal is equivalent to 8\frac{9}{100}?,8.09,False,4,4.2G,Relate decimals to fractions that name tenths and hundredths.,False,False,2018,,,, "Which model represents 14 \times 14 = 196? 10 4 +------------------+-+-+-+-+ | | | | | | +------------------+-+-+-+-+ | | | | | | F 4 +------------------+-+-+-+-+ | | | | | | +------------------+-+-+-+-+ | | | | | | +------------------+-+-+-+-+ [A rectangular area model labeled F. The height is labeled '4' and contains 4 rows. The width is split into a large section labeled '10' and a smaller section labeled '4'. The section under '10' consists of undivided rows, while the section under '4' is divided into columns forming a grid.] 10 4 +------------+-------+ | | | | | | | | | | | | 10 | | | | | | | | | | | | +------------+-+-+-+-+ |____________|_|_|_|_| |____________|_|_|_|_| 4 |____________|_|_|_|_| |____________|_|_|_|_| H [Option H: An area model diagram. The overall square is defined by side lengths labeled 10 and 4 on the top, and 10 and 4 on the left. Inside, the square is partitioned into four sections: a large 10x10 empty space, a 10x4 section divided into 4 vertical columns, a 4x10 section divided into 4 horizontal rows, and a 4x4 grid.] 7 +--+--+--+--+--+--+--+ G | | | | | | | | +--+--+--+--+--+--+--+ 2 | | | | | | | | +--+--+--+--+--+--+--+ [Model G: A rectangular grid array with 2 rows and 7 columns, labeled with the number 7 on top and 2 on the right side.] 14 +--+--+--+--+--+--+--+--+--+--+--+--+--+--+ J | | | | | | | | | | | | | | | 1 +--+--+--+--+--+--+--+--+--+--+--+--+--+--+ [Model labeled J showing a single horizontal row of 14 small squares. The entire row is labeled '14' above, and the height is labeled '1' to the right.]",C,False,4,4.4C,"Represent the product of 2 two-digit numbers using arrays, area models, or equations, including perfect squares through 15 by 15.",True,True,2018,,,, "The table shows the amounts Sheldon and Jenna paid for electricity in their apartments each month for the last six months. Electricity Expenses ┌──────────┬─────────────────────┬───────────────────┐ │ Month │ Amount Sheldon Paid │ Amount Jenna Paid │ ├──────────┼─────────────────────┼───────────────────┤ │ January │ $89.99 │ $112.37 │ ├──────────┼─────────────────────┼───────────────────┤ │ February │ $89.99 │ $87.21 │ ├──────────┼─────────────────────┼───────────────────┤ │ March │ $89.99 │ $90.87 │ ├──────────┼─────────────────────┼───────────────────┤ │ April │ $89.99 │ $105.82 │ ├──────────┼─────────────────────┼───────────────────┤ │ May │ $89.99 │ $121.13 │ ├──────────┼─────────────────────┼───────────────────┤ │ June │ $89.99 │ $130.45 │ └──────────┴─────────────────────┴───────────────────┘ Based on the table, which statement is true about the amounts Sheldon and Jenna paid for electricity during these six months? A Only Sheldon's electricity expense was a fixed expense. B Only Jenna's electricity expense was a fixed expense. C Both Sheldon's electricity expense and Jenna's electricity expense were variable expenses. D Both Sheldon's electricity expense and Jenna's electricity expense were fixed expenses.",A,False,4,4.10A,Distinguish between fixed and variable expenses.,False,True,2018,,,, "The number of each kind of flower in a vase is shown. Daisies: {*} {*} {*} {*} Roses: (@) (@) (@) (@) (@) (@) Tulips: (v) (v) (v) (v) (v) [A pictograph listing three types of flowers: Daisies, Roses, and Tulips, with icons representing the count for each category.] Which expression can be used to find the fraction of flowers in the vase that are daisies or tulips? F \frac{6}{6} + \frac{5}{5} G \frac{4}{4} + \frac{5}{5} H \frac{6}{15} + \frac{5}{15} J \frac{4}{15} + \frac{5}{15}",D,False,4,4.3E,Represent and solve addition and subtraction of fractions with equal denominators using objects and pictorial models that build to the number line and properties of operations.,True,True,2018,,,, "Hayden drew a polygon that has exactly two right angles. Which of these could be the polygon Hayden drew? A Right triangle B Right trapezoid C Rectangle D Rhombus",B,False,4,4.6D,Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines or the presence or absence of angles of a specified size.,False,True,2018,,,, "The counter shows the number of times a website has been visited. Counter ┌───┬───┬───┬───┬───┬───┬───┬───┬───┬───┬───┐ │ 0 │ 0 │ 0 │ , │ 7 │ 2 │ 4 │ , │ 3 │ 5 │ 6 │ └───┴───┴───┴───┴───┴───┴───┴───┴───┴───┴───┘ What is the value of the digit 4 in this number? F 400 G 40 H 4 J Not here",D,False,4,4.2B,"Represent the value of the digit in whole numbers through 1,000,000,000 and decimals to the hundredths using expanded notation and numerals.",False,True,2018,,,, "Greg sorted his collection of baseball cards. • Greg will give \frac{1}{5} of his collection to his brother. • Greg will sell \frac{4}{10} of his collection to a card shop. Which statement is true? A Greg will have exactly half his collection left. B Greg will sell more than half his collection to a card shop. C Greg will have less than half his collection left. D Greg will give more than half his collection to his brother.",C,False,4,4.3F,"Evaluate the reasonableness of sums and differences of fractions using benchmark fractions 0, 1/4, 1/2, 3/4, and 1, referring to the same whole.",False,True,2018,,,, "The frequency table shows the number of times some people visited a movie theater last year. Movie Theater Visitors ┌──────────────────┬──────────────────┐ │ Number of Visits │ Number of People │ ├──────────────────┼──────────────────┤ │ 1–5 │ |||| │ ├──────────────────┼──────────────────┤ │ 6–10 │ |||| │ ├──────────────────┼──────────────────┤ │ 11–15 │ |||| │ ├──────────────────┼──────────────────┤ │ 16–20 │ ||| │ └──────────────────┴──────────────────┘ Which set of data could the frequency table represent? F 1, 2, 2, 3, 6, 7, 7, 9, 12, 12, 12, 14, 17, 18, 20 G 0, 2, 4, 5, 6, 6, 7, 8, 9, 11, 11, 13, 14, 15, 20, 20, 20 H 1, 5, 6, 10, 11, 15, 16, 20, 4, 5, 5, 3 J 2, 2, 4, 5, 6, 6, 7, 8, 9, 11, 11, 13, 14, 15, 20, 20, 20",D,False,4,4.9A,"Represent data on a frequency table, dot plot, or stem-and-leaf plot marked with whole numbers and fractions.",False,True,2018,,,, "This model can be shaded to represent the fraction \frac{7}{4}. +---+---+---+---+ | | | | | +---+---+---+---+ +---+---+---+---+ | | | | | +---+---+---+---+ +---+---+---+---+ | | | | | +---+---+---+---+ [A diagram consisting of three horizontal bars, where each bar is divided into four equal square sections.] Which number sentence represents two different ways that \frac{7}{4} can be represented with shaded fractions on the model? A \frac{2}{4} + \frac{2}{4} + \frac{3}{4} = \frac{5}{4} + \frac{2}{4} B \frac{3}{4} + \frac{4}{4} = \frac{1}{4} + \frac{4}{4} + \frac{1}{4} C \frac{1}{4} + \frac{1}{4} + \frac{1}{4} = \frac{3}{4} + \frac{4}{4} D \frac{2}{4} + \frac{3}{4} + \frac{2}{4} = \frac{7}{4} + \frac{1}{4}",A,False,4,4.3B,Decompose a fraction in more than one way into a sum of fractions with the same denominator using concrete and pictorial models and recording results with symbolic representations.,True,True,2018,,,, "Sandy purchased two patio chairs that cost $57.65 each and a table that cost $146.22. What is the total cost of these items? F $203.87 G $350.09 H $140.42 J $261.52",D,False,4,4.4A,Add and subtract whole numbers and decimals to the hundredths place using the standard algorithm.,False,True,2018,,,, "Which angle has a measure closest to 95^\circ? 90 ___|___ _-"" | ""-_ / | \ 130/50 | \ \ | \ \ | \ \ | \ 30/150 140/40 \ | _____/ \ | ____/ \ | / A _________`.|/____________________ 180/0 0/180 [A protractor measuring angle A, showing the positions of two rays against the inner and outer degree scales.] 90 | 80 | 100 (Outer) 100 | 80 (Inner) \ | / \ | / \ | / \|/ <------*------------ B [A protractor labeled 'B'. The vertex is at the bottom center. One ray points horizontally to the left. The other ray points upward and to the left, passing halfway between the 80 and 90 marks on the outer scale (which correspond to the 100 and 90 marks on the inner scale).] 90 100 | 80 | | | | ^ | \ | / \ | / \|/ C _________*_________> O [An abstract representation of the protractor measuring angle C. The vertex is at the center O. One ray lies horizontally pointing to the 0-degree mark on the right. The other ray points upwards, passing through the scale between the 90 and 100 degree marks.] 90 (Top) Outer Scale 80 | 100 100 | 80 | ' | ' | | ^ | ^ | | \ | / | | \ | / | D \|/ * (Center Point) [A diagram labeled 'D' showing the central portion of a protractor. Two rays originate from the center point (*), pointing upwards. The left ray points to the tick mark exactly halfway between 80 and 90 on the outer scale. The right ray points to the tick mark exactly halfway between 90 and 100 on the outer scale.]",C,False,4,4.7C,Determine the approximate measures of angles in degrees to the nearest whole number using a protractor.,True,True,2018,,,, "A teacher put 378 marbles into 9 containers. He put the same number of marbles into each container. How many marbles did the teacher put into each container?",42,False,4,4.4F,"Use strategies and algorithms, including the standard algorithm, to divide up to a four-digit dividend by a one-digit divisor.",False,False,2018,,,, "Kate's pen is 13.7 centimeters long. Which mixed number is equivalent to 13.7? A 13\frac{1}{7} B 13\frac{1}{70} C 13\frac{7}{10} D 13\frac{7}{100}",C,False,4,4.2G,Relate decimals to fractions that name tenths and hundredths.,False,True,2018,,,, "A business earned $96 for one job and $78 for a second job. The money was divided equally among the 3 partners who own the business. Which strip diagram represents m, the amount of money each partner received? F ┌─────┬───┬───┐ │ m │ m │ m │ ├─────┼───┴───┤ │ $78 │ $96 │ └─────┴───────┘ H ┌───┬───┬───┐ │ m │ m │ m │ ├───┴───┴───┤ │ $96 │ └───────────┘ G ┌───────────────────────────────────┐ │ m │ ├─────┬─────┬─────┬─────┬─────┬─────┤ │ $78 │ $96 │ $78 │ $96 │ $78 │ $96 │ └─────┴─────┴─────┴─────┴─────┴─────┘ J ┌───────────┐ │ m │ ├─────┬─────┤ │ $78 │ $96 │ └─────┴─────┘",A,False,4,4.5A,Represent multi-step problems involving the four operations with whole numbers using strip diagrams and equations with a letter standing for the unknown quantity.,False,True,2018,,,, "An office had three baskets of letters ready to be mailed. The first basket was \frac{2}{10} full, the second basket was \frac{3}{6} full, and the third basket was \frac{1}{5} full. Which comparison is true? A \frac{1}{5} > \frac{3}{6} B \frac{2}{10} = \frac{1}{5} C \frac{3}{6} < \frac{2}{10} D \frac{1}{5} > \frac{2}{10}",B,False,4,4.3D,"Compare two fractions with different numerators and different denominators and represent the comparison using the symbols >, =, or <.",False,True,2018,,,, "The model represents Norman's rectangular backyard garden. Norman will plant carrots in the rectangular section of the garden labeled ""Carrots"" in the model. Norman's Garden |----------- 30 ft -----------| +-------------------------+-------+ | | | 14 | | Car- | ft | | rots | | | | +-------------------------+-------+ |-------- 24 ft --------| [A diagram of a rectangular garden with a total width of 30 ft and a height of 14 ft. A vertical line divides the garden into two rectangular sections. The larger left section has a width labeled as 24 ft at the bottom. The smaller right section is labeled ""Carrots"".] What is the area in square feet of the section where Norman will plant carrots? F 40 square feet G 224 square feet H 336 square feet J 84 square feet",D,False,4,4.5D,Solve problems related to perimeter and area of rectangles where dimensions are whole numbers.,True,True,2018,,,, "The stem and leaf plot shows the numbers of tickets Stephen won when he played games at a carnival. Number of Tickets Won Stem Leaf 8 4 8 9 0 6 8 10 5 5 11 7 9|6 means 96 tickets. What is the total number of tickets that Stephen won at the carnival? A 783 B 178 C 81 D 678",A,False,4,4.9B,"Solve one- and two-step problems using data in whole number, decimal, and fraction form in a frequency table, dot plot, or stem-and-leaf plot.",False,True,2018,,,, "Oscar draws two lines on his paper. The lines are always one inch apart and do not intersect. Which term can be used to name what Oscar drew? F Perpendicular lines G Parallel lines H Intersecting lines J Line segments",B,False,4,4.6A,"Identify points, lines, line segments, rays, angles, and perpendicular and parallel lines.",False,True,2018,,,, "The table shows a relationship between the input numbers and the output numbers generated by a number machine. Number Machine ┌───────┬────────┐ │ Input │ Output │ ├───────┼────────┤ │ 1 │ 15 │ ├───────┼────────┤ │ 2 │ 16 │ ├───────┼────────┤ │ 3 │ 17 │ ├───────┼────────┤ │ 4 │ 18 │ └───────┴────────┘ Which number machine shows the same relationship as the one shown in the table? A Input → [IMAGE: A rectangular box with a plus sign and the number 14 inside. An arrow points into the left side and an arrow points out of the right side.] + 14 → Output B Input → [IMAGE: A rectangular box with a multiplication sign and the number 15 inside. An arrow points into the left side and an arrow points out of the right side.] × 15 → Output C Input → [IMAGE: A rectangular box with a multiplication sign and the number 8 inside. An arrow points into the left side and an arrow points out of the right side.] × 8 → Output D Input → [IMAGE: A rectangular box with a plus sign and the number 1 inside. An arrow points into the left side and an arrow points out of the right side.] + 1 → Output",A,False,4,4.5B,Represent problems using an input-output table and numerical expressions to generate a number pattern that follows a given rule representing the relationship of the values in the resulting sequence and their position in the sequence.,True,True,2018,,,, "Melanie had two $10 bills, one $5 bill, four dimes, and six pennies. Then she bought a fruit cup for $2.19. How much money did Melanie have after she bought the fruit cup? F $27.65 G $25.46 H $23.27 J $23.07 STAAR GRADE 4 Mathematics May 2018",C,False,4,4.8C,"Solve problems that deal with measurements of length, intervals of time, liquid volumes, mass, and money using addition, subtraction, multiplication, or division as appropriate.",True,True,2018,,,, "While cleaning his room, Paul found 7 cents on his desk, 98 cents under his bed, and 2 dollars and 4 cents in his closet. What was the total amount of money Paul found? A $2.09 B $3.09 C $3.72 D $4.08",B,False,5,5.3K,Add and subtract positive rational numbers fluently.,False,True,2018,,,, "Which comparison is NOT true? F 3.375 > 3.275 G 6.875 < 6.9 H 2.65 > 2.675 J 7.675 < 7.75",C,False,5,5.2B,"Compare and order two decimals to thousandths and represent comparisons using the symbols >, <, or =.",False,True,2018,,,, "The graph shown represents the rule y = x + 1.5. y ^ | 7 +---+---+---+---+---+---+ | | | | | | | 6 +---+---+---+---+---+---+ | | | | | | | 5 +---+---+---+---+---+---+ | | | o | | | 4 +---+---+---+---+---+---+ | | o | | | | 3 +---+---+---+---+---+---+ | o | | | | | 2 +---+---+---+---+---+---+ o | | | | | | 1 +---+---+---+---+---+---+ | | | | | | | 0 +---+---+---+---+---+---+--> x 0 1 2 3 4 5 6 [An ASCII scatter plot showing a coordinate system with axes ranging from 0 to 7. Grid lines mark every integer unit. Four data points (represented by 'o') are plotted at x=0, 1, 2, and 3. The points are positioned vertically halfway between the integer grid lines, clearly indicating half-integer y-values.] Which table contains only values that represent the rule? A ┌───┬───┬─────┬───┬─────┬───┐ │ x │ 0 │ 1 │ 2 │ 3 │ 9 │ ├───┼───┼─────┼───┼─────┼───┤ │ y │ 0 │ 1.5 │ 3 │ 4.5 │ 6 │ └───┴───┴─────┴───┴─────┴───┘ C ┌───┬─────┬───┬─────┬───┬─────┐ │ x │ 0 │ 1 │ 2 │ 3 │ 9 │ ├───┼─────┼───┼─────┼───┼─────┤ │ y │ 1.5 │ 3 │ 4.5 │ 6 │ 7.5 │ └───┴─────┴───┴─────┴───┴─────┘ B ┌───┬───┬─────┬───┬─────┬──────┐ │ x │ 0 │ 1 │ 2 │ 3 │ 9 │ ├───┼───┼─────┼───┼─────┼──────┤ │ y │ 0 │ 1.5 │ 3 │ 4.5 │ 13.5 │ └───┴───┴─────┴───┴─────┴──────┘ D ┌───┬─────┬─────┬─────┬─────┬──────┐ │ x │ 0 │ 1 │ 2 │ 3 │ 9 │ ├───┼─────┼─────┼─────┼─────┼──────┤ │ y │ 1.5 │ 2.5 │ 3.5 │ 4.5 │ 10.5 │ └───┴─────┴─────┴─────┴─────┴──────┘",D,False,5,5.4C,Generate a numerical pattern when given a rule in the form y = ax or y = x + a and graph.,True,True,2018,,,, "Priscilla built a cabinet shaped like a rectangular prism. The length of the base is 9 inches, and the width is 40 inches. What is the area of the base of the cabinet in square inches? F 49 square inches G 360 square inches H 98 square inches J Not here",B,False,5,5.4H,Represent and solve problems related to perimeter and/or area and related to volume.,False,True,2018,,,, "A math problem is shown. 78)4.68 What is the quotient? A 0.14 B 0.6 C 0.06 D 0.51",C,False,5,5.3G,"Solve for quotients of decimals to the hundredths, up to four-digit dividends and two-digit whole number divisors, using strategies and algorithms, including the standard algorithm;",False,True,2018,,,, "Wanda's net income for the month of April was $2,438. The table shows her April budget except for an amount in the ""Other"" category. April Budget ┌────────────────┬──────────────────┐ │ Category │ Amount (dollars) │ ├────────────────┼──────────────────┤ │ Rent │ 1,000 │ ├────────────────┼──────────────────┤ │ Utilities │ 285 │ ├────────────────┼──────────────────┤ │ Food │ 325 │ ├────────────────┼──────────────────┤ │ Transportation │ 275 │ ├────────────────┼──────────────────┤ │ Other │ │ ├────────────────┼──────────────────┤ │ Savings │ 450 │ └────────────────┴──────────────────┘ What amount, in dollars and cents, should be in the ""Other"" category in order for Wanda's April budget to be balanced?",103,False,5,5.10F,Balance a simple budget.,False,False,2018,,,, "One bucket of gravel has a mass of 7.05 kg. What is the mass of 20 buckets of gravel in kilograms? A 14.1 kg B 150 kg C 27.05 kg D 141 kg",D,False,5,5.3E,"Solve for products of decimals to the hundredths, including situations involving money, using strategies based on place-value understandings, properties of operations, and the relationship to the multiplication of whole numbers.",False,True,2018,,,, "The students in a class were each given a set of letters and asked to make words. The dot plot shows the numbers of students who made from 1 to 7 words. Students Making Words O O O O O O O O O O O O O O O O O O O ----+--------+--------+--------+--------+-----+--------+---- 1 2 3 4 5 6 7 Number of Words Made [A dot plot titled 'Students Making Words' where the x-axis represents the 'Number of Words Made' (from 1 to 7) and the number of dots in each column represents the count of students. The correct counts based on the visual evidence are: 1 word (4), 2 words (5), 3 words (3), 4 words (2), 5 words (1), 6 words (2), and 7 words (3).] What fraction of the students in the class made 5 or more words? F \frac{1}{20} G \frac{1}{4} H \frac{3}{10} J \frac{3}{4}",C,False,5,5.9C,"Solve one- and two-step problems using data from a frequency table, dot plot, bar graph, stem-and-leaf plot, or scatterplot.",True,True,2018,,,, "This graphic organizer is being used to classify triangles based on their angle measures or side lengths. ┌──────────────────────────────┬───────────────────────────────────┐ │ Triangles │ │ ├──────────────────────────────┼───────────────────────────────────┤ │ Angle Measure Classification │ Side Length Classification │ ├─────────┬─────────┬──────────┼───────────┬─────────────┬─────────┤ │ Acute │ Right │ Obtuse │ Isosceles │ Equilateral │ Scalene │ └─────────┴─────────┴──────────┴───────────┴─────────────┴─────────┘ Which list shows all of the ways this triangle could be classified? /\ / \ / \ 8 cm / \ 8 cm / \ /__________\ 8 cm [A triangle with all three sides labeled as 8 cm.] A Acute only B Equilateral only C Acute and isosceles only D Acute, isosceles, and equilateral only",D,False,5,5.5A,Classify two-dimensional figures in a hierarchy of sets and subsets using graphic organizers based on their attributes and properties.,True,True,2018,,,, "George bought 3 peppers for a cost of $0.40 each. The model represents this situation. Group 1 Group 2 Group 3 +-------------+ +-------------+ +-------------+ | [] [] [] [] | | [] [] [] [] | | [] [] [] [] | | [] [] [] [] | | [] [] [] [] | | [] [] [] [] | | [] [] [] [] | | [] [] [] [] | | [] [] [] [] | | [] [] [] [] | | [] [] [] [] | | [] [] [] [] | | [] [] [] [] | | [] [] [] [] | | [] [] [] [] | | [] [] [] [] | | [] [] [] [] | | [] [] [] [] | | [] [] [] [] | | [] [] [] [] | | [] [] [] [] | | [] [] [] [] | | [] [] [] [] | | [] [] [] [] | | [] [] [] [] | | [] [] [] [] | | [] [] [] [] | | [] [] [] [] | | [] [] [] [] | | [] [] [] [] | +-------------+ +-------------+ +-------------+ [Three groupings of base ten blocks. Each grouping contains 4 vertical rods, and each rod consists of 10 small square units.] _______________________________________ | KEY | | | | +--+--+--+--+--+--+--+--+--+--+ | | | | | | | | | | | | | | | +--+--+--+--+--+--+--+--+--+--+ | | | | | | | | | | | | | | | +--+--+--+--+--+--+--+--+--+--+ | | | | | | | | | | | | | | | +--+--+--+--+--+--+--+--+--+--+ | | | | | | | | | | | | | | | +--+--+--+--+--+--+--+--+--+--+ | | | | | | | | | | | | | = 1 | | +--+--+--+--+--+--+--+--+--+--+ dollar| | | | | | | | | | | | | | | +--+--+--+--+--+--+--+--+--+--+ | | | | | | | | | | | | | | | +--+--+--+--+--+--+--+--+--+--+ | | | | | | | | | | | | | | | +--+--+--+--+--+--+--+--+--+--+ | | | | | | | | | | | | | | | +--+--+--+--+--+--+--+--+--+--+ | | | |_______________________________________| [A key showing that a 10x10 grid of 100 small squares is equal to 1 dollar.] Which equation shows how to find the total cost in dollars and cents of the peppers George bought? F 3 \times 4 = 12.00 G 3 \times 40 = 120.00 H 3 \times 0.40 = 1.20 J 3 \times 0.40 = 0.12 ════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════",C,False,5,5.3D,"Represent multiplication of decimals with products to the hundredths using objects and pictorial models, including area models.",True,True,2018,,,, "A student will graph the point (5, 3) on a coordinate grid. Which steps can the student take in order to graph the point correctly? A Start at the origin. Move 5 units up. Move 3 units right. Graph the point. B Start at the origin. Move 5 units right. Move 3 units right. Graph the point. C Start at the origin. Move 5 units up. Move 3 units up. Graph the point. D Start at the origin. Move 5 units right. Move 3 units up. Graph the point.",D,False,5,5.8B,Describe the process for graphing ordered pairs of numbers in the first quadrant of the coordinate plane.,False,True,2018,,,, "What is the value of the expression shown? 4[4.5 - 2(1.2)] F 8.4 G 15.6 H 12 J 19.2",A,False,5,5.4F,"Simplify numerical expressions that do not involve exponents, including up to two levels of grouping.",False,True,2018,,,, "Paula wants to buy 3 shirts and 2 belts. The shirts cost $16.89 each, and the belts cost $8.97 each. Paula has $45. Which of these amounts is the best estimate of how much more money Paula needs in order to buy the shirts and belts? A $16 B $10 C $24 D $5",C,False,5,5.3A,"Estimate to determine solutions to mathematical and real-world problems involving addition, subtraction, multiplication, or division.",False,True,2018,,,, "Ella finished a bike race in 37.6 minutes. Miranda finished the race 9\frac{1}{10} minutes sooner than Ella finished it. How many minutes did it take Miranda to finish the race? F 32.5 minutes G 46.7 minutes H 28.59 minutes J Not here",D,False,5,5.3K,Add and subtract positive rational numbers fluently.,False,True,2018,,,, "Four students each wrote down a number between 30 and 40. The list shows the numbers they wrote. • Elly—35 • Ulysses—39 • Maggie—37 • Palmer—33 Which student wrote down a prime number? A Elly B Ulysses C Maggie D Palmer",C,False,5,5.4A,Identify prime and composite numbers.,False,True,2018,,,, "What is the value of this expression? \frac{1}{12} \div 36 F 3 G \frac{1}{432} H \frac{1}{3} J 432",B,False,5,5.3L,Divide whole numbers by unit fractions and unit fractions by whole numbers.,False,True,2018,,,, "The graph shows three of the four vertices of parallelogram VWXY. y ^ 8 +---+---+---+---+---+---+---+---+---+ | | | | | | | | | 7 +---+---+---+---+---+---+---+---+---+ | | W V | | | 6 +---+---+---+---+---+---+---+---+---+ | | | | | | | | | 5 +---+---+---+---+---+---+---+---+---+ | | | | | | | | | 4 +---+---+---+---+---+---+---+---+---+ | | | | | | | | | 3 +---+---+---+---+---+---+---+---+---+ | | | | | | | | | 2 +---+---+---+---+---+---+---+---+---+ | | | X | | | | | 1 +---+---+---+---+---+---+---+---+---+ | | | | | | | | | 0 +---+---+---+---+---+---+---+---+---+--> x 0 1 2 3 4 5 6 7 8 [A coordinate grid with axes ranging from 0 to 8 showing three vertices of a parallelogram: W is located at (2.5, 6.5), V is at (5.5, 6.5), and X is at (3.5, 1.5).] At which location on the coordinate grid could point Y be located? A (1.5, 6.5) B (6.5, 2) C (6.5, 1.5) D (2, 6.5)",C,False,5,5.8C,"Graph in the first quadrant of the coordinate plane ordered pairs of numbers arising from mathematical and real-world problems, including those generated by number patterns or found in an input-output table.",True,True,2018,,,, "A family spent $93 at a carnival. • They spent $18 on tickets to the carnival and $36 on food. • They spent the rest of the money on games. Which equation can be used to find g, the amount of money in dollars the family spent on games? F 93 = g + 36 - 18 G 93 = 18 + 36 - g H 93 = 36 - 18 - g J 93 = g + 36 + 18",D,False,5,5.4B,Represent and solve multi-step problems involving the four operations with whole numbers using equations with a letter standing for the unknown quantity.,False,True,2018,,,, "A student builds some rectangular prisms using cubes that each have a volume of 1 cubic inch. Which rectangular prism has a volume of 12 cubic inches? +---+---+---+ / / / /| +---+---+---+ | | | | | | +---+---+---+ | A | | | | | +---+---+---+ | | | | | | +---+---+---+ | | | | |/ +---+---+---+ [A rectangular prism labeled A. The prism is displayed with a front face that is 3 units wide and 4 units high, and a side face that is 1 unit deep.] +---+---+---+---+---+---+ / / / / / / /| +---+---+---+---+---+---+ | / / / / / / /| + C +---+---+---+---+---+---+ |/| | | | | | | | + | +---+---+---+---+---+---+ |/| | | | | | | | + + +---+---+---+---+---+---+ |/ + [Rectangular prism C composed of unit cubes stacked in rows and columns.] +---+---+---+ / / / /| +---+---+---+ | / / / /| + +---+---+---+ |/| B | | | | + | +---+---+---+ |/+ | | | | +/ +---+---+---+/ [Figure B: A rectangular prism constructed from unit cubes, showing the grid arrangement on the top, front, and side faces.] +-+-+-+-+-+-+-+-+-+-+-+-+ / / / / / / / / / / / / /| +-+-+-+-+-+-+-+-+-+-+-+-+ | | | | | | | | | | | | | | | +-+-+-+-+-+-+-+-+-+-+-+-+/| | | | | | | | | | | | | | | +-+-+-+-+-+-+-+-+-+-+-+-+/| | | | | | | | | | | | | | | +-+-+-+-+-+-+-+-+-+-+-+-+/| | | | | | | | | | | | | | | +-+-+-+-+-+-+-+-+-+-+-+-+/| | | | | | | | | | | | | | | +-+-+-+-+-+-+-+-+-+-+-+-+/| D | | | | | | | | | | | | | | +-+-+-+-+-+-+-+-+-+-+-+-+/| | | | | | | | | | | | | | | +-+-+-+-+-+-+-+-+-+-+-+-+/| | | | | | | | | | | | | | | +-+-+-+-+-+-+-+-+-+-+-+-+/| | | | | | | | | | | | | | | +-+-+-+-+-+-+-+-+-+-+-+-+/| | | | | | | | | | | | | | | +-+-+-+-+-+-+-+-+-+-+-+-+/| | | | | | | | | | | | | | | +-+-+-+-+-+-+-+-+-+-+-+-+/| | | | | | | | | | | | | | | +-+-+-+-+-+-+-+-+-+-+-+-+/ [A rectangular prism labeled D, composed of unit cubes arranged in a grid. The grid is 12 columns wide and 12 rows high, with a depth of 1 unit.]",B,False,5,5.6A,Recognize a cube with side length of one unit as a unit cube having one cubic unit of volume and the volume of a three-dimensional figure as the number of unit cubes (n cubic units) needed to fill it with no gaps or overlaps if possible; and,True,True,2018,,,, "Shauna is reading a 528 page book. She reads 22 pages every day. How many days will it take Shauna to read the entire book? F 506 G 26 H 24 J 550",C,False,5,5.3C,Solve with proficiency for quotients of up to a four-digit dividend by a two-digit divisor using strategies and the standard algorithm.,False,True,2018,,,, "The equation y = 1.5x can be used to determine y, the number of cups of water needed to cook x cups of rice. Which table shows the relationship between x and y? A Cooking Rice ┌────────────────────────────┬──────┬──────┬──────┬──────┐ │ Number of Cups of Rice, x │ 9 │ 11 │ 13 │ 15 │ ├────────────────────────────┼──────┼──────┼──────┼──────┤ │ Number of Cups of Water, y │ 13.5 │ 16.5 │ 19.5 │ 22.5 │ └────────────────────────────┴──────┴──────┴──────┴──────┘ B Cooking Rice ┌────────────────────────────┬──────┬──────┬──────┬──────┐ │ Number of Cups of Rice, x │ 10 │ 12 │ 14 │ 16 │ ├────────────────────────────┼──────┼──────┼──────┼──────┤ │ Number of Cups of Water, y │ 11.5 │ 13.5 │ 15.5 │ 17.5 │ └────────────────────────────┴──────┴──────┴──────┴──────┘ C Cooking Rice ┌────────────────────────────┬──────┬────┬──────┬────┐ │ Number of Cups of Rice, x │ 13 │ 15 │ 17 │ 19 │ ├────────────────────────────┼──────┼────┼──────┼────┤ │ Number of Cups of Water, y │ 19.5 │ 21 │ 22.5 │ 24 │ └────────────────────────────┴──────┴────┴──────┴────┘ D Cooking Rice ┌────────────────────────────┬──────┬──────┬──────┬──────┐ │ Number of Cups of Rice, x │ 14 │ 16 │ 18 │ 20 │ ├────────────────────────────┼──────┼──────┼──────┼──────┤ │ Number of Cups of Water, y │ 14.5 │ 16.5 │ 18.5 │ 20.5 │ └────────────────────────────┴──────┴──────┴──────┴──────┘",A,False,5,5.4C,Generate a numerical pattern when given a rule in the form y = ax or y = x + a and graph.,False,True,2018,,,, "A temperature in degrees Fahrenheit is shown in expanded notation. (9 \times 10) + (4 \times 0.1) How is this temperature in degrees Fahrenheit written as a numeral?",90.4,False,5,5.2A,Represent the value of the digit in decimals through the thousandths using expanded notation and numerals.,False,False,2018,,,, "Mark has $5.25 in quarters. He spent all this money on 3 sports drinks. He spent the same amount for each sports drink. (Q) (Q) (Q) (Q) (Q) (Q) (Q) (Q) (Q) (Q) (Q) (Q) (Q) (Q) (Q) (Q) (Q) (Q) (Q) (Q) (Q) [A diagram showing 21 quarters arranged in 3 equal rows, representing the total amount of money.] Which equation can be used to find the amount of money Mark spent for each sports drink? A 5.25 \times 3 = 15.75 B 5.25 \div 7 = 0.75 C 5.25 \div 3 = 1.75 D 5.25 \times 7 = 36.75",C,False,5,5.3F,"Represent quotients of decimals to the hundredths, up to four-digit dividends and two-digit whole number divisors, using objects and pictorial models, including area models.",True,True,2018,,,, "The length of one wall in Mr. Shelby's classroom is 29 feet. What is the length of this wall in inches? F 348 in. G 242 in. H 338 in. J 248 in.",A,False,5,5.7A,"Solve problems by calculating conversions within a measurement system, customary or metric.",False,True,2018,,,, "An electronic book has a file size of 2.4 megabytes. What is the file size in megabytes of 16 of these electronic books? A 32.4 megabytes B 54.4 megabytes C 32.64 megabytes D 38.4 megabytes",D,False,5,5.3E,"Solve for products of decimals to the hundredths, including situations involving money, using strategies based on place-value understandings, properties of operations, and the relationship to the multiplication of whole numbers.",False,True,2018,,,, "This Venn diagram is being used to classify two types of quadrilaterals. .-----------------. .-----------------. ,' `. ,' `. / +-------+ \ / /\ \ | |_ | \ / / \ | | | | \ / \ / | | | _| \ / \/ | | +-------+ X | | |:| ____ | | +-------+ |:| / / | | |_ _| |:| /___/ | | +-------+ X | \ / \ /\ / `. / \ / \ ,' `---------------------' `----------\ /-------' \/ [A Venn diagram classifying two sets of quadrilaterals. The left set contains rectangles (indicated by right-angle corners), and the right set contains rhombuses (indicated by equal side lengths/diamond shapes). The intersection is shaded to indicate the region where the properties of both sets overlap.] Which type of figure will always belong in the shaded section of this Venn diagram? F Rectangle G Rhombus H Square J Trapezoid",C,False,5,5.5A,Classify two-dimensional figures in a hierarchy of sets and subsets using graphic organizers based on their attributes and properties.,True,True,2018,,,, "A chef used \frac{1}{4} cup of milk for one recipe. Then she used 2 cups of milk for each of 5 more recipes. The total number of cups of milk the chef used can be found by using this expression. \frac{1}{4} + (2 \times 5) How many cups of milk did the chef use? A 10\frac{1}{4} c B 11\frac{1}{4} c C \frac{11}{4} c D \frac{15}{4} c",A,False,5,5.4F,"Simplify numerical expressions that do not involve exponents, including up to two levels of grouping.",False,True,2018,,,, "A hexagon and its side lengths are shown. 4.5 ft __________ / \ 2.8 ft/ \ 2.8 ft / \ \ / 2.8 ft\ / 2.8 ft \__________/ 4.5 ft [A hexagon with labeled side lengths: 4.5 ft for the top and bottom, and 2.8 ft for the four slanted sides.] What is the perimeter of the hexagon in feet?",20.2,False,5,5.4H,Represent and solve problems related to perimeter and/or area and related to volume.,True,False,2018,,,, "There are 16 pies on a picnic table. • Each pie is cut into pieces. • Each piece is \frac{1}{8} of a pie. How many pieces of pie are on the picnic table? A 2 B 88 C 24 D 128",D,False,5,5.3L,Divide whole numbers by unit fractions and unit fractions by whole numbers.,False,True,2018,,,, "Elias has three containers of cooking oil. The table shows the volume of cooking oil in each container. Elias's Cooking Oil ┌───────────┬────────────┐ │ Container │ Volume (L) │ ├───────────┼────────────┤ │ X │ 0.946 │ ├───────────┼────────────┤ │ Y │ 0.502 │ ├───────────┼────────────┤ │ Z │ 1.42 │ └───────────┴────────────┘ Which list shows the containers in order from least to greatest volume in liters? F Container X, Container Y, Container Z G Container Y, Container X, Container Z H Container Z, Container Y, Container X J Container Z, Container X, Container Y",B,False,5,5.2B,"Compare and order two decimals to thousandths and represent comparisons using the symbols >, <, or =.",False,True,2018,,,, "Mr. Fernández packed 31 red apples and 41 green apples into a box for a customer. He packed 8 boxes like this. Mr. Fernández used this equation to find x, the number of apples he packed into all the boxes. x = (31 + 41)8 How many apples did Mr. Fernández pack into the boxes? A 576 B 568 C 80 D 10,168",A,False,5,5.4B,Represent and solve multi-step problems involving the four operations with whole numbers using equations with a letter standing for the unknown quantity.,False,True,2018,,,, "Which of these is NOT an example of a property tax? F Tax paid on the value of a farm a person owns G Tax paid on the value of a piece of land a person owns H Tax paid on the value of a piece of furniture a person owns J Tax paid on the value of a home a person owns",C,False,5,5.10A,"Define income tax, payroll tax, sales tax, and property tax.",False,True,2018,,,, "The table represents a relationship between x and y. ┌────┬────┐ │ x │ y │ ├────┼────┤ │ 5 │ 22 │ ├────┼────┤ │ 10 │ 27 │ ├────┼────┤ │ 15 │ 32 │ ├────┼────┤ │ 20 │ 37 │ └────┴────┘ The relationship between the x-values and y-values creates a pattern that is — A additive, because each x-value increases by 5 B additive, because each y-value is determined by adding 17 to the corresponding x-value C multiplicative, because each y-value is determined by multiplying the corresponding x-value by 17 D multiplicative, because each x-value is a multiple of 5",B,False,5,5.4D,Recognize the difference between additive and multiplicative numerical patterns given in a table or graph.,False,True,2018,,,, "The stem and leaf plot shows Ryan's math scores so far this year. Ryan's Math Scores Stem Leaf 7 9 8 2 2 3 6 9 0 1 3 4 7 9|1 means 91. What is the sum of Ryan's greatest math score and least math score? F 169 G 187 H 176 J Not here",C,False,5,5.9C,"Solve one- and two-step problems using data from a frequency table, dot plot, bar graph, stem-and-leaf plot, or scatterplot.",False,True,2018,,,,