Unit 1 · Test

Unit 1 test: Real Numbers

14 questions. Answer them all, then submit to see your score. Solutions unlock after you submit.

This test covers rational and irrational numbers, square roots and cube roots, approximating irrational numbers, and writing repeating decimals as fractions.

Question 1

Which number is irrational?

Question 2

Write $\dfrac{5}{8}$ as a decimal.

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 3

Which statement is true?

Question 4

How many of these numbers are rational?

$\sqrt{100}, \quad \sqrt{50}, \quad 0.\overline{5}, \quad \pi, \quad \sqrt[3]{8}, \quad -3.7$

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 5

Find $\sqrt[3]{-216}$ .

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 6

Solve $x^2 = 144$ . Enter all solutions, separated by a comma.

Separate answers with commas, e.g. 2, -5

Question 7

A cube has a volume of $512$ cubic centimeters. How many centimeters long is each edge?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 8

Find $\sqrt{\dfrac{4}{25}}$ .

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 9

Between which two consecutive integers is $\sqrt{75}$ ? Enter the smaller integer first.

Separate answers with commas, e.g. 2, -5

Question 10

Estimate $\sqrt{21}$ to the nearest tenth.

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 11

Which list is in order from least to greatest?

Question 12

Write $0.\overline{2}$ as a fraction.

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 13

Write $1.\overline{27}$ as a fraction in lowest terms.

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 14

Write $0.2\overline{3}$ as a fraction in lowest terms.

Enter a number. Fractions like 3/4 and sqrt(2) are OK.