STUDY GUIDE
 
FLASHCARDS

Mathematics Grade 5 Practice Questions

  1. Express the following calculation:
Subtract 4 from 18, then divide by 7.
  1. \((4 – 18) \div 7\)
  2. \(4 – 18 \div 7\)
  3. \((18 – 4) \div 7\)
  4. \(18 – 4 \div 7\)
Show Answer
The correct answer is C!

When subtraction comes before division, it must be placed in parentheses. The phrase “subtract 4 from 18” means the same as \(18-4\).

 

  1. Choose the number that completes the following inequality:
\(21,561.72 \lt\) ___________
  1. 21,560.72
  2. 21,571.72
  3. 21,461.72
  4. 21,561.71
Show Answer
The correct answer is B!

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

 

  1. Solve the following long division problem:
3,584 divided by 28
  1. 103
  2. 108
  3. 123
  4. 128
Show Answer
The correct answer is D!

First, find the number of times 28 goes into 35. Put your answer (1, in this case) above the 5. Subtract 28 (\(28 \times 1\)) from 35 and bring down the 8.

Find the number of times 28 goes into 78 and your answer (2, in this case) above the 8. Subtract 56 (\(28 \times 2\)) from 78 and bring down the 4.

Find the number of times 28 goes into 224. Put your answer (8, in this case) above the 4. Subtract 224 (\(28 \times 8\)) from 224.

 

  1. Carter has four dogs and five cans of dog food. How much dog food does each dog get if Carter gives each dog the same amount?
  1. \(\frac{1}{2}\) of a can
  2. \(\frac{4}{5}\) of a can
  3. 1 can
  4. 1\(\frac{1}{4}\) cans
Show Answer
The correct answer is D!

The answer is found by dividing the number of cans by the number of dogs:

\(\frac{5\text{ cans}}{4 \text{ dogs}}\)

The fraction is improper, so we need to rewrite it as a mixed number. We know that 4 goes into 5 once, which makes the whole number 1, and the remainder is \(5 – 4 = 1\) (so the numerator of the fraction is 1).

 

  1. A 42-inch TV screen has length 20\(\frac{1}{2}\) inches and width 36\(\frac{1}{2}\) inches. What is the area of the viewing screen?
  1. 114 in2
  2. 720 in2
  3. 748 in2
  4. 748\(\frac{1}{4}\) in2
Show Answer
The correct answer is D!

The area is found by multiplying:

\(20\frac{1}{2}\times 36 \frac{1}{2}=\frac{41}{2}\times \frac{73}{2}\) \(= \frac{2,993}{4}=748 \frac{1}{4} \text{ in}^2\)

 

  1. How many inches are in 15 feet?
  1. 0.8 in
  2. 1.25 in
  3. 27 in
  4. 180 in
Show Answer
The correct answer is D!

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

\(15\text{ ft} \times \frac{12\text{ in}}{1 \text{ ft}}=15\times 12=180 \text{ in}\)

 

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

A 3D rectangular block divided into a grid of 24 smaller cubes, arranged in 4 rows, 2 columns, and 3 layers.

  1. 25
  2. 34
  3. 45
  4. 54
Show Answer
The correct answer is 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.

\(18 \times 3 = 54\)

 

  1. Choose the point located at \((4,2)\) in the figure below.

  1. Point A
  2. Point B
  3. Point C
  4. Point D
Show Answer
The correct answer is A!

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

 

  1. Parallelograms are four-sided figures with two pairs of parallel sides. Which of the following is NOT a parallelogram?
  1. Rectangle
  2. Trapezoid
  3. Square
  4. Rhombus
Show Answer
The correct answer is B!

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

 

  1. 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
Show Answer
The correct answer is 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.