From the New York State Education Department. New York State Testing Program Grade 5 Common Core Mathematics Test Released Questions with Annotations August 2013. Internet. Available from https://www.nysedregents.org/ei/math/2013/english/2013-math-grade-5-sample-annotated-items.pdf; accessed 3, May, 2023.
1
1.
The shaded part of the square below has a length of 3/4 foot and width of 1/2 foot.
What is the area, in square feet, of the shaded part of the square?
NY-5.NF.4.b
5.NF.4.b
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2.
What is the value of the expression below?
24.5-15.75
NY-5.NBT.7
5.NBT.7
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3.
Mr. Morris built a fence to enclose his yard. He put up 3/4 of the fence on Monday. On Tuesday, he put up 1/6 of the fence, and on Wednesday, he put up the rest of the fence. What portion of the fence did he put up on Wednesday?
NY-5.NF.2
5.NF.2
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4.
Which statement is true about the product of \frac{5}{12}\times7?
NY-5.NF.5.a
5.NF.5.a
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5.
Which term can be put in the blank to make the statement below true?
3,000,000=30 ________
NY-5.NBT.1
5.NBT.1
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6.
What is the value of the expression below?
738\div18?
NY-5.NBT.6
5.NBT.6
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7.
Four hundred sixty-nine and eight hundredths can also be written as:
NY-5.NBT.3.a
5.NBT.3.a
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8.
Rich's fish tank is in the shape of a right rectangular prism. It has a length of 6 feet, a width of 2 feet, and a height of 4 feet. What is the volume, in cubic feet, of Rich's fish tank?
NY-5.MD.5.b
5.MD.5.b
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9.
Penelope made a paper chain that was 6 feet 10 inches long. What was the length, in inches, of the paper chain?
NY-5.MD.1
5.MD.1
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10.
Each lap around Eastern Park is 3\frac{3}{4} miles. Janet rode her bike 2/3 of a lap before one of the tires on her bike went flat.
How many miles did Janet ride before one of the tires on her bike went flat?
NY-5.NF.6
5.NF.6
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11.
Which expression shows 40.54 in expanded form?
NY-5.NBT.3.a
5.NBT.3.a
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12.
What is the value of the expression below?
[24+9-(4\times2)+11]\div2
Show your work.
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13.
Sophia asked the students in her class to name their favorite sport. She made this list to display the results.
1/3 of the students named basketball
1/8 of the students named soccer
5/12 of the students named football
The rest of the students in the class named baseball.
What fraction of the students in the class named baseball as their favorite sport?
Show your work.
NY-5.NF.2
5.NF.2
3
14.
Mr. Chang needs to ship 8 boxes of cookies in a packing carton. Each box is a right rectangular prism 8 inches long, 5 inches wide, and 3 inches high.
What is the volume, in cubic inches, of each box? _______
Show your work.
Mr. Chang wants to ship all 8 boxes in one packing carton. He has a choice of three different sizes of packing cartons that are right rectangular prisms of the following sizes.
packing carton A: 11 inches long, 10 inches wide, and 8 inches high
packing carton B: 16 inches long, 10 inches wide, and 5 inches high
packing carton C: 17 inches long, 11 inches wide, and 7 inches high