Free Printable Topic 1 Real numbers Review for Test

1.

Which of the following numbers are rational?

$9.6\overline{8}$ $2.010110111...$ $\sqrt{64}$ $-\frac{51}{5}$ $\sqrt{6}$

a)

$9.6\overline{8}$

b)

$2.010110111...$

c)

$\sqrt{64}$

d)

$-\frac{51}{5}$

e)

$\sqrt{6}$

2.

How would you classify the number 125?

a)

Perfect square

b)

Perfect cube

c)

Both a perfect square and a perfect cube

d)

Neither a perfect square or a perfect cube

3.

What is the side length of the square pictured?

a)

8

b)

9

c)

81

d)

40

4.

A cube shaped box has a volume of 64 cubic inches. If the box is filled with cubes that are 1 inch in size, how many cubes can fit along one side of the box?

a)

2 cubes

b)

4 cubes

c)

8 cubes

d)

16 cubes

5.

$x^4\div x^3$

a)

$x^7$

b)

$x^{12}$

c)

$x$

d)

$1$

6.

$\left(x^3\right)^4$

a)

$x^7$

b)

$x^{12}$

c)

$x$

d)

$x^{-1}$

7.

$x^6\cdot x^4$

a)

$x^2$

b)

$x^{24}$

c)

$x^{10}$

d)

$x^{-2}$

8.

$5^3\cdot6^3$

a)

$11^6$

b)

$11^3$

c)

$30^6$

d)

$30^3$

9.

$0.000000591$ Express this number in scientific notation:

a)

$5.91\times10^{-7}$

b)

$5.91\times10^{-6}$

c)

$5.91\times10^6$

d)

$5.91\times10^7$

10.

Which answer shows the following number rewritten using a positive exponent:
$5^{-3}$

a)

$5^3$

b)

$\frac{1}{5^3}$

c)

$\frac{1}{15}$

d)

$\frac{1}{125}$

11.

Express this number in scientific notation:

$30,800,000$

a)

$3.08\times10^5$

b)

$3\times10^5$

c)

$3.08\times10^7$

d)

$3\times10^7$

12.

Express this number in standard form:

$5.276\times10^5$

a)

$527,600,000$

b)

$527,600$

c)

$0.00005276$

d)

$0.000005276$

13.

Express this number in standard form:

$2.34\times10^{-7}$

a)

$2,340,000,000$

b)

$23,400,000$

c)

$0.0000000234$

d)

$0.000000234$

14.

$-\sqrt{25}$

a)

$-0.5$

b)

$5$

c)

$-5$

d)

$-25$

15.

Which number is irrational?

a)

$\sqrt{65}$

b)

$\sqrt{144}$

c)

$\sqrt{81}$

d)

$\sqrt{49}$

Topic 1 Real numbers Review for Test

Total questions: 15

Worksheet time: 30mins

Similar Resources on Wayground