Mathematics Grade 5 Practice Questions

1. Express the calculation “subtract 4 from 18, then divide by 7.”

1. (4 – 18) ÷ 7
2. 4 – 18 ÷ 7
3. (18 – 4) ÷ 7
4. 18 – 4 ÷ 7

2. Choose the number that completes the equation: 21,561.72 < _____

1. 21,560.72
2. 21,571.72
3. 21,461.72
4. 21,561.71

3. Divide: 

1. 103
2. 108
3. 123
4. 128

4. Bert has 4 dogs and 5 cans of dog food. How much dog food does each dog get if Bert gives each dog the same amount?

1. 1/2 of a can
2. 4/5 of a can
3. 1 can
4. 1 1/4 cans

5. A 42-in TV screen has length 20 ½ in and width 36 ½ in. What is the area of the viewing screen?

1. 114 in²
2. 720 in²
3. 748 in²
4. 748 ¼ in²

6. How many inches are in 15 feet?

1. 0.8 in
2. 1.25 in
3. 27 in
4. 180 in

7. How many unit cubes will fit inside the box below?

1. 25 unit cubes
2. 34 unit cubes
3. 45 unit cubes
4. 54 unit cubes

8. Choose the point located at (4,2).

1. Point A
2. Point B
3. Point C
4. Point D

9. Parallelograms are four sided figures with two pairs of parallel sides. All of the following are parallelograms EXCEPT:

1. rectangle
2. trapezoid
3. square
4. rhombus

10. Choose the correct pair of words to complete the following statement.

All _____________ triangles must be _______________ triangles.

1. equilateral, acute
2. acute, scalene
3. obtuse, isosceles
4. scalene, right

Answers and Explanations

1. C: When subtraction comes before division, it must be placed in parentheses. The phrase “subtract 4 from 18” means the same as “18 minus 4.”

2. B: All the other numbers are smaller than 21,561.72, but 21,571.72 is 10 more than 21,561.72.

3. D: Find the number of times 28 goes into 35; record this result (1) above the 5. Subtract 28(28 X 1) from 35 and bring down the 8. Find the number of times 28 goes into 78; record this result (2) above the 8. Subtract 56(28 X 2) from 78 and bring down the 4. Find the number of times 28 goes into 224; record this result (8) above the 4. Subtract 224(28 X 8) from 224.

4. D: The answer is found by dividing the number of cans by the number of dogs: 5 cans / 4 dogs. The fraction is improper, so rewrite it as a mixed number: 4 goes into 5 once (so the whole number is 1) and the remainder is 5 – 4 = 1 (so the numerator of the fraction is 1).

5. D: The area is found by multiplying

6. D: To convert from feet to inches, multiply by the factor:

7. D: There are 18 unit cubes on the front of the box, so the middle and the back will also have 18 unit cubes each. 18 X 3 = 54 unit cubes.

8. A: Point A is located at (4,2), the point four units to the right of the origin and two units above the origin.

9. B: A trapezoid has only one pair of parallel sides. A square, a rectangle, and a rhombus all have two pairs of parallel sides.

10. A: All equilateral triangles have three equal sides and three equal angles. The measure of those angles is 60°, so those angles can only be acute.