Question 1

Which of the following best describes a proper fraction?

Accepted Answer

A fraction where the numerator is less than the denominator.

Question 2

In a class of 20 students, there are 9 boys and 11 girls. What fraction of the class are girls?

Accepted Answer

$$\frac{11}{20}$$

Question 3

Which of the following is an improper fraction?

Accepted Answer

$$\frac{7}{3}$$

Question 4

Convert the improper fraction $$\frac{11}{4} to a $$mixed number.

Accepted Answer

$$2\frac{3}{4}$$

Question 5

Which of the following numbers is a prime number?

Accepted Answer

17

Question 6

A pizza is cut into 8 equal slices. If 3 slices are eaten, what fraction of the pizza remains?

Accepted Answer

$$\frac{5}{8}$$

Question 7

Which of the following is the prime factorization of 18?

Accepted Answer

$$2 	imes 3 	imes 3$$

Question 8

Which of the following numbers is composite?

Accepted Answer

21

Question 9

If a number is divisible by both 2 and 3, which of the following must also be true?

Accepted Answer

The number is divisible by 6.

Question 10

Write $$\frac{15}{4} as a $$mixed number.

Accepted Answer

$$3\frac{3}{4}$$

Question 11

Which of the following is NOT a property of a prime number?

Accepted Answer

It can be written as a product of two smaller natural numbers.

Question 12

A class has 12 math majors and 8 science majors. What fraction of the class are science majors?

Accepted Answer

$$\frac{8}{20}$$

Question 13

Which of the following numbers is divisible by 9?

Accepted Answer

243

Question 14

Which of the following is the simplest form of $$\frac{12}{18}$$?

Accepted Answer

$$\frac{2}{3}$$

Question 15

If a number is divisible by 5, which of the following must be true?

Accepted Answer

The number ends in 0 or 5.

Fractions, Mixed Numbers, and Factors: Foundations for College Algebra

Study Guide - Practice Questions