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Grade 4 Mathematics Sample Questions (CCSS)

Grade 4 Math Sample Question 20

There are 52 students in Mr. Johnson’s gym class. Mr. Johnson wants to create teams of six students for a game. Students who are not placed on teams will act as substitutes. How many teams can Mr. Johnson make, and how many substitutes will be left?

A) 7 teams, 4 substitutes

B) 8 teams, 4 substitutes (Correct Answer)

C) 9 teams, 6 substitutes

D) 8 teams, 2 substitutes

Explanation:
Since 52 ÷ 6 = 8 R 4, Mr. Johnson can make 8 teams with 4 substitutes left over.

Related Common Core State Standard: Operations & Algebraic Thinking: 4.OA.3

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Grade 4 Math Sample Question 19

Which of the following numbers would be classified as a prime number?

A) 77

B) 65

C) 79 (Correct Answer)

D) 87

Explanation:
The only factors of 79 are 1 and 79, so 79 would be classified as a prime number. The other three numbers listed are composite numbers. (77 = 7 x 11, 65 = 13 x 5, 87 = 29 x 3)

Related Common Core State Standard: Operations & Algebraic Thinking: 4.OA.4

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Grade 4 Math Sample Question 18

Describe the angles found in this figure.

A) 2 right angles and 3 acute angles

B) 3 right angles and 2 obtuse angles

C) 2 right angles, 2 obtuse angles, and 1 acute angle

D) 2 right angles and 3 obtuse angles (Correct Answer)

Explanation:
This figure has a total of five angles. Two of the angles are right angles. The other three angles are obtuse angles (angles measuring more than 90 degrees.)

Related Common Core State Standard: Geometry: 4.G.1

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Grade 4 Math Sample Question 17

How many lines of symmetry does this shape have?

A) 1

B) 2

C) 4 (Correct Answer)

D) 8

Explanation:
This figure has four lines of symmetry. One line is horizontal.
One line is vertical. The other two lines are diagonal.

Related Common Core State Standard: Geometry: 4.G.3

4th-Grade-Mathematics-Books-&-eLearning-ResourcesClick Here to See Our Grade 4 Math Resources

Grade 4 Math Sample Question 16

What are all of the factors of 36?

A) 1, 2, 3, 4, 12, 18, 36

B) 1, 2, 3, 4, 6, 9, 12, 18, 36 (Correct Answer)

C) 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 36

D) 1, 2, 4, 9, 18, 36

Explanation:
By pairing up the factors:

36 = 1 x 36
36 = 2 x 18
36 = 3 x 12
36 = 4 x 9
36 = 6 x 6

So, the factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.

Related Common Core State Standard: Operations & Algebraic Thinking: 4.OA.4

4th-Grade-Math-Books-&-eLearning-ResourcesClick Here to See Our Grade 4 Math Resources

Grade 4 Math Sample Question 15

Find the quotient of 4,500 and 90.

A) 500

B) 5

C) 50 (Correct Answer)

D) 5,000

Explanation:
Using place value concepts, 4,500 = 90 x 50. So, the quotient of 4,500 and 90 is 50.

Related Common Core State Standard: Number & Operations in Base Ten: 4.NBT.1

Common Core State Standards aligned ResourcesClick Here to See Our Grade 4 Math Resources

Grade 4 Math Sample Question 14

Travis is covering a floor using tiles. Each tile has an area of 1 sq. foot.
How many tiles will he need to cover a rectangular floor that is 20 feet
long and 30 feet wide?

A) 60 tiles

B) 600 tiles (Correct Answer)

C) 50 tiles

D) 100 tiles

Explanation:
To find the area of the floor, the length of the floor would be multiplied by its width.
The area of the floor, therefore, is 600 square feet. (20 x 30 = 600) Since each tile
measures 1 square foot, Travis would need 600 tiles to cover the floor.

Related Common Core State Standard: Measurement & Data: 4.MD.3

Common Core State Standards aligned ResourcesClick Here to See Our Grade 4 Math Resources

Grade 4 Math Sample Question 13

Olivia is listing the multiples of 4 from 0 to 100. Which of the following
numbers would not be found in her list?

A) 44

B) 50 (Correct Answer)

C) 52

D) 68

Explanation:
Of the numbers listed, 50 is the one that would not be in the list. 50 is not a multiple of 4,
since 50 divided by 4 results in a remainder.

Related Common Core State Standard: Operations & Algebraic Thinking: 4.OA.4

CCSS Aligned Sample QuestionsClick Here to See Our Grade 4 Math Resources

Grade 4 Math Sample Question 12

Find the following sum:

2/10 + 8/100

A) 28/10

B) 28/100 (Correct Answer)

C) 10/100

D) 10/110

Explanation:
Two tenths is equivalent to 20 hundredths. So, to add these fractions, add 20 hundredths
to 8 hundredths, to get a sum of 28 hundredths (28/100).

Related Common Core State Standard: 4.NF.5

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Grade 4 Math Sample Question 11

Which of these statements is true?

A) A square can have obtuse or acute angles.

B) A parallelogram can have obtuse or acute angles. (Correct Answer)

C) A rectangle can have obtuse or acute angles.

D) None of the above.

Explanation:
Squares and rectangles have only right angles. A parallelogram can have angles of varying types
(including acute or obtuse).

Related Common Core State Standard: 4.G.2

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Grade 4 Math Sample Question 10

Grace and Edwin are running in a race. They both started from the
same place at the same time. Grace has run 0.1 km so far. Edwin has
run 0.09 km so far. Which of the following statements is true?

A) Grace and Edwin are in the same spot in the race.

B) Grace is ahead of Edwin in the race. (Correct Answer)

C) Edwin is ahead of Grace in the race.

D) There is not enough information given.

Explanation:
The decimal 0.1 (one tenth) is greater than 0.09 (9 hundredths). Therefore, Grace has run farther
than Edwin, so she is leading in the race.

Related Common Core State Standard: 4.NF.7

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Grade 4 Math Sample Question 9

Find 6 x 1/4

A) 1/24

B) 3/1

C) 6/4 (Correct Answer)

D) None of these

Explanation:
To multiply a whole number by a unit fraction, multiply the whole number by 1 to get the numerator in
the product. The denominator will not change. The product in this exercise would be: 6/4

Related Common Core State Standard: 4.NF.4

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Grade 4 Math Sample Question 8

Write the following fraction as a decimal:

3/10

A) 0.310

B) 0.103

C) 0.03

D) 0.3 (Correct Answer)

Explanation:
The fraction shown would be read “three tenths”. As a decimal, this number would be written 0.3 (three tenths).

Related Common Core State Standard: 4.NF.6

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Grade 4 Math Sample Question 7

Which of the following is not true?

A) 0.01 < 0.10 B) 0.20 = 0.2 C) 0.9 = 0.09 (Correct Answer) D) 0.3 > 0.04

Explanation:
The statement 0.9 = 0.09 is not true. 0.9 is “nine tenths.” 0.09 is “nine hundredths.”
These values are not equal.

Related Common Core State Standard: 4.NF.7

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Grade 4 Math Sample Question 6

In 2011, the number of students who signed up for a computer course
was 445. In 2013, the number had increased to 900. How many more
students signed up in 2013 than in 2011?

A) 455 (Correct Answer)

B) 555

C) 545

D) 445

Explanation:
This exercise requires subtraction with regrouping. The problem would probably be easier to solve
if written vertically. Regrouping is required in the ones and tens digits. The difference is calculated
to be 455.

Related Common Core State Standard: 4.NBT.4

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Grade 4 Math Sample Question 5

What is the missing factor in this number sentence?

8 x ___ = 808

A) 11

B) 101 (Correct Answer)

C) 111

D) 110

Explanation:
Since 808 ÷ 8 = 101, then the missing factor must be 101.

Related Common Core State Standard: 4.NBT.6

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Grade 4 Math Sample Question 4

The football stadium at a local university can hold 46,550 spectators.
What is this number rounded to the nearest thousand?

A) 47,000 (Correct Answer)

B) 46,500

C) 46,600

D) 50,000

Explanation:
To round to the nearest thousand, the hundreds digit is used. In this number,
the hundreds digit is a 5, which will cause the thousands digit to round up
from a 6 to a 7.

Related Common Core State Standard: 4.NBT.3

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Grade 4 Math Sample Question 3

Drew has two large boxes and four small boxes of magazines. Each
large box contains 50 magazines. Each small box contains 35
magazines. How many magazines does Drew have in all?

A) 85 magazines

B) 170 magazines

C) 230 magazines

D) 240 magazines (Correct Answer)

Explanation:
This exercise would be solved in two steps. The first step is to figure out how many magazines
are in the small boxes and how many are in the large boxes. There are 2 large boxes with 50
magazines in each. That is 100 magazines. There are 4 small boxes with 35 magazines in each.
That is 140 (4 x 35 = 140) magazines. The next step is to total the magazines in all of the boxes.
100 + 140 = 240. Drew has 240 magazines in all.

Related Common Core State Standard: 4.OA.3

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Grade 4 Math Sample Question 2

Find the exact difference of 820 and 789.

A) 39

B) 31 (Correct Answer)

C) 149

D) 169

Explanation:
This is a subtraction exercise involving regrouping of hundreds, tens, and ones. The final difference is 31.

Related Common Core State Standard: 4.NBT.4

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Grade 4 Math Sample Question 1

Find the exact product of 5 x 20 x 8.

A) 800 (Correct Answer)

B) 80

C) 560

D) 900

Explanation:
Using the Associative (Grouping) Property of Multiplication, the three factors can be grouped in any way. One possible way would be to multiply the 5 and the 20 first. (5 x 20 = 100) Then that result can be multiplied by the third factor (8). The final product is 800.

Related Common Core State Standard: 4.NBT.5

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