2013: NY Grade 5 - Math

By Sara Cowley
Last updated about 2 months ago
14 Questions
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.

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
2.

What is the value of the expression below?
24.5-15.75

NY-5.NBT.7
5.NBT.7
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
4.

Which statement is true about the product of \frac{5}{12}\times7?

NY-5.NF.5.a
5.NF.5.a
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
6.

What is the value of the expression below?
738\div18?

NY-5.NBT.6
5.NBT.6
7.

Four hundred sixty-nine and eight hundredths can also be written as:

NY-5.NBT.3.a
5.NBT.3.a
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
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
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
11.

Which expression shows 40.54 in expanded form?

NY-5.NBT.3.a
5.NBT.3.a
12.

What is the value of the expression below?
[24+9-(4\times2)+11]\div2
Show your work.

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
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
Which packing carton can Mr. Chang use? _______
Show your work.
NY-5.MD.5.b
5.MD.5.b