# Fractions and Square Root Practice Questions

- Posted by Brian Stocker
- Date November 7, 2016
- Comments 5 comments

Most High School tests as well as Nursing Entrance tests, and Armed Services tests include either fractions and square root practice questions, or both.

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### Practice Questions

## Basic Math

1. Which one of the following is a finite decimal?

a. ^{84}/_{630}

b. ^{6}/_{35}

c. ^{3}/_{22}

d. ^{13}/_{128}

e. ^{7}/_{216}

**2. Calculate 69% of 33.**

a. 22

b. 22.5

c. 23.5

d. 22.75

e. 22.77

**3. Which of the following is located between ^{7}/_{11} and ^{5}/_{7} ?**

a. 0.6

b. ^{13}/>_{17}

c. ^{2}/_{3}

d. ^{11}/_{15}

e. ^{3}/_{4}

4.

a. 1.2

b. 0.2

c. ^{3}/_{4}

d. 1.5

e. 1 ^{2}/_{3}

**5. Which of the following is less than a third?**

a. ^{84}/_{231}

b. ^{6}/_{35}

c.> ^{3}/_{22}

d. Answers a,b,c

e. Answers b,c

**6. Which of the following numbers is the largest?**

a. 1

b. √2

c. 3/2

d. 1.1

e. 160%

**7. Which of the following numbers is the smallest?**

a. 1

b. √2

c. 3/2

d. 1.1

e. 160%

**8. Calculate 1 + 0.125 + 3/4**

a. 1.625

b. 1.755

c. 1

d.1 ^{7}/_{8}

e.2

**9. Calculate ^{2}/_{9} of 23,531,445.**

a. 5,229,210

b. 33,435,720

c. 2,451,316

d. 13,483,540

e. 18,590,200

### Answer Key

1. d

2. e

3. c

4. a

5. e

6. e

7. a

8. d

9.a

### Most Common Fraction Mistakes on a Test

**1. Not simplifying fractions first. ** Always simplify fractions to the simples form before adding, subtracting or other operations.

**2. Not understanding common denominators.**

To add or subtract fractions, they must have the same denominator. For example, to add 1/2 and 3/4, a common denominator is needed. The common denominator 4, because 4 is a multiple of both 2 and 4.

So, you would convert 1/2 to 2/4 and add it to 3/4 to get 2/4 + 3/4 = 5/4

**3. Errors with mixed numbers and converting to improper fractions or vice versa.**

Referring to the problem above, 5/4 is an improper fraction, since 5 (the numerator) is larger than 4 (the denominator). This can be converted to a mixed number – 5/4 = 4/4 + 1/4, and we know 4/4 = 1

so – 1 + 1/4 = 1 1/4.

**4. Errors with equivalent fractions and reducing to the simplest form.**

Here is question – Does 2/4 = 1/2 ? YES! we can reduce 2/4 by dividing the numerator (top) and the denominator (bottom) by 2. so 2/4 divided by 2/2 = 1/2.

**5. Errors canceling common factors in fractions.**

Cancelling out common factors works like this – 2/4 X 4/8 These are divisible by 2 so we divide by 2 in the top of one side and bottom of the other – 1/4 X 4/4

We can do the same again with the bottom of the first fraction and the top of the second – 1/1 X 1/4 and since 1/1 = 1 we have 1 X 1/4 = 1/4.

**6. Errors with basic arithmetic operations** (addition, subtraction, multiplication, and division) with fractions. Fractions Practice

**7. Solving word problems involving fractions.** How to Solve Word Problems Word Problem Practice

**8. Errors converting percent, decimals, and fractions.** Converting Fractions and Decimal

### Converting Fractions to Decimals – Video Tutorial

**Written by**, Brian Stocker MA., Complete Test Preparation Inc.

**Date Published:**Monday, November 7th, 2016

**Date Modified:**Monday, February 6th, 2023

Got a Question? Email me anytime - Brian@test-preparation.ca

## 5 Comments

Thank you so much. These questions helped me to prepare my exam

Thanks alot for this.

these questions didnt help

For the question 1, I got D as an answer.

Could you explain what is a finite decimal and explanation for that answer.

A finite decimal is one that stops, like 0.157. 0.157 . An infinite repeating decimal is one that has a specified sequence of digits that repeat, like: 0.263737373737…