From the New York State Education Department. New York State Testing Program Grade 5 Common Core Mathematics Test Released Questions with Annotations August 2014. Internet. Available from https://www.nysedregents.org/ei/math/2014/english/2014-math-grade-5-sample-annotated-items.pdf; accessed 3, May, 2023.
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1.
Which statement is true about the values of the two expressions below?
Expression A: 3\times(8+4)
Expression B: 8+4
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2.
Which diagram represents a volume of one cubic unit?
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3.
Which phrase describes the volume of a 3-dimensional figure?
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4.
A recipe for 1 batch of muffins included 2/3 cup of raisins. Ina made 2\frac{1}{2} batches of muffins. How many cups of raisins did she use?
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5.
Mani, James, and Isidro equally shared 1/2 of a pie. Which fraction of the whole pie did each of them receive?
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6.
A number is given below.
In a different number, the 6 represents a value which is one-tenth of the value of the 6 in the number above. What value is represented by the 6 in the other number?
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7.
Austin collected 30\frac{9}{10} kilograms of glass for recycling. Exactly 2/3 of the glass he collected was blue. What was the total amount, in kilograms, of blue glass Austin collected?
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8.
What number goes in the blank to make the statement below true?
3,840 ounces = _____ pounds
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9.
What is the area, in square inches, of a rectangle with the dimensions shown in the diagram below?
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10.
What is the value of the expression below?
1,536\div24
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11.
What is the volume, in cubic centimeters, of the figure below?
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12.
Millie designed a rectangular label to put on the front of her scrapbook. The label was 5/12 foot wide and 5/6 foot long. What was the area, in square feet, of the label?
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13.
Which expression means the same as the phrase below?
Subtract 3 from the product of 8 and 5.
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14.
Jim gave the following description of a figure:
It is a quadrilateral.
All sides are equal in length.
There are two equal obtuse angles and two equal acute angles.
Which figure could match Jim's description?
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15.
Which expression is equivalent to 100,000?
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16.
Lincoln had 2 books in his backpack. One book had a mass of 3 pounds 7 ounces, and the other book had a mass of 2 pounds 10 ounces. What was the total mass, in ounces, of the books?
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17.
A box contains 512 grams of cereal. One serving of cereal is 56 grams. How many servings of cereal does the box contain?
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18.
Lori and Maria bought juice to make fruit punch. Maria bought 5 bottles of juice, each containing 750 milliliters. Lori bought 4 liters of juice. Based on this information, which sentence is true?
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19.
Which decimal best represents the location of point X on the number line below?
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20.
Clark made a model of his house. His house is 30\frac{1}{2} feet long. The dimensions of the model were 1/25 the dimensions of Clark's actual home. What is the length, in feet, of the model?
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21.
Deb has a board that measures 5 feet in length. How many 1/4-foot-long pieces can Deb cut from the board?
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22.
In which number does the 5 represent a value 10 times the value represented by the 5 in 35,187?
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23.
Michele is 52 inches tall. Her father is 6 feet 3 inches tall. Exactly how many inches taller is Michele’s father than Michele?
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24.
What is the value of \frac{2}{5}+\frac{3}{7}?
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25.
A racecar driver completed three laps in the times shown below.
39.28 seconds
38.9 seconds
37.83 seconds
What was the total time, in seconds, it took for the driver to complete the three laps?
Show your work.
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26.
Isabella is playing a game with the decimal numbers shown below.
1.5 1.05 0.15 0.105 1.50 0.015
She has to place each of the decimal numbers in one of the boxes shown below so that it makes a true number sentence. Each decimal number goes in only one box.
Next to each decimal number, write the letter of the box where that number belongs.
_______ 1.5
_______ 1.05
_______ 0.15
_______ 0.105
_______ 1.50
_______ 0.015
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27.
Anna recorded the time she spent at soccer practice to the nearest 1/4 hour for 15 days. Her results are shown below.
Make one line plot to display Anna's data over the 15-day period.
Be sure to:
title the line plot
label the number line
graph all the data
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28.
Each team in a youth basketball league pays $984 to join the league. If a team consists of 12 players and the fee is divided equally among the players, how much does each player pay?
Show your work.
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29.
Prism X is shown below. The volume of Prism Y is 10 cubic centimeters greater than the volume of Prism X.
What is the volume of Prism Y? _______
What could be the length _______ , width _______ , and height _______ of Prism Y?
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30.
Brittany needs a total of 12\frac{3}{4} yards of yarn for an art project. She needs 1\frac{3}{8} yards of blue yarn and 5\frac{1}{2} yards of green yarn. The rest of the yarn she needs is red. How much red yarn does Brittany need?
Show your work.
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31.
An empty shipping box has a mass of 2.75 kilograms. An electronics store is packing 5 identical laptops in the shipping box. Each laptop has a mass of 1.65 kg.
The cost to ship the box was $40.00 for the first 5 kg and $3.15 for each kilogram over 5 kg. What was the cost to ship the packed box?
Show your work.
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32.
Last year, Bob's Market ordered 15\frac{1}{2} pounds of plums from a local orchard. This year, the market plans to order 1\frac{1}{4} times as many pounds of plums as were ordered last year. They want 2/5 of this order to be red plums. What is the total amount, in pounds, of red plums the market plans to order this year? Write your answer as a mixed number.
Show your work.
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33.
Ann and Margie had a total of 3 gallons of paint to share for a project. They had 1 gallon each of red paint, blue paint, and yellow paint.
To complete the project, Ann used 3/8 of the red paint, 1/4 of the blue paint, and 1/2 of the yellow paint.
To complete the project, Margie used 1/2 of the red paint, 5/8 of the blue paint, and 1/8 of the yellow paint.
a. How many total gallons of each color of paint were left after both girls had finished the project?
Red: _______ , Blue: _______ , Yellow: _______
b. Using the leftover paint, Ann and Margie decide to make green paint. They mix the yellow and blue paint together to make the green paint. How many gallons of green paint can they make?