Free Printable Lessons 23 -25 Review

1.

Classify the number as either rational or irrational:

$\frac{4}{13}$

a)

Rational

b)

Irrational

2.

Classify the number as rational or irrational:

$8\pi$

a)

Rational

b)

Irrational

3.

Classify the number as rational or irrational:

$\sqrt{9}$

a)

Rational

b)

Irrational

4.

Classify the number as rational or irrational:

$3.1\overline{42}$

a)

Rational

b)

Irrational

5.

Classify the number as rational or irrational:

$\sqrt{31}$

a)

Rational

b)

Irrational

6.

Classify the number as rational or irrational:

$2.1395...$

a)

Rational

b)

Irrational

7.

What two whole numbers will the following be between?

$\sqrt{13}$

a)

3 and 4

b)

5 and 6

c)

10 and 11

d)

8 and 9

8.

The following will be between what two whole numbers?

$\sqrt{6}$

a)

1 and 2

b)

2 and 3

c)

3 and 4

d)

5 and 6

9.

$7^2\cdot7^{-10}\cdot7^0$

a)

$7^{12}$

b)

$\frac{1}{7^7}$

c)

$\frac{1}{7^8}$

d)

$7^{13}$

10.

Select the 3 that apply to scientific notation:

a)

Scientific notation is used to handle really big numbers

b)

Scientific notation is used to handle really small numbers

c)

Small numbers use positive exponents

d)

Large numbers use negative exponents

e)

Powers of 10 are used to write numbers in scientific notation

11.

Which of the following is the largest number:

4\times10^{-4},\ \ \ 5\times10^{-7},\ \ \ 1\times10^{-6}

a)

$4\times10^{-4}$

b)

$5\times10^{-7}$

c)

$1\times10^{-6}$

12.

Which of the following is the largest number:

8.1\times10^5,\ \ 1.18\times10^9,\ \ 9.2\times10^{-7}

a)

$8.1\times10^5$

b)

$1.18\times10^9$

c)

$9.2\times10^{-7}$

13.

Write the following number in scientific notation:

120,000,000

a)

$12\times10^7$

b)

$1.2\times10^{-8}$

c)

$120\times10^6$

d)

$1.2\times10^8$

14.

Write the following number in scientific notation:

0.0008

a)

$8\times10^4$

b)

$.8\times10^{-3}$

c)

$8\times10^{-4}$

d)

$8\times10^3$

15.

Convert the following number into standard form:

7\times10^{-3}

a)

$0.007$

b)

$0.07$

c)

$7,000$

d)

$0.0007$

16.

Convert the following number into standard form:

6.42\times10^7

a)

$6,420,000$

b)

$0.000000642$

c)

$6,420$

d)

$64,200,000$

17.

Write the following using an exponent.

7 x 7 x 7 x 7 x 7 x 7 x 7 x 7

a)

7⁷

b)

7⁸

c)

8⁷

d)

7⁹

18.

How do you correctly say 4³

a)

4 squared

b)

3 quadrupled

c)

4 cubed

d)

4 times 3

19.

Simplify the following:
$\left(5^7\right)^4$

a)

$5^{11}$

b)

$125^{28}$

c)

$5^{28}$

d)

$5^3$

20.

$\frac{4^5\times4^{10}}{4^6}=$

a)

4⁹

b)

4⁴⁴

c)

4²¹

d)

4¹⁵

21.

$\left(5^3\right)^4\cdot5^5=$

a)

25⁶⁰

b)

25¹⁷

c)

5⁶⁰

d)

5¹⁷

22.

$\left(3^{-4}\right)^{-2}=$

a)

$3^{-8}$

b)

$9^8$

c)

$12^2$

d)

$3^8$

23.

$\left(9^4\right)\left(3^4\right)=$

a)

$27^{16}$

b)

$27^4$

c)

$12^4$

d)

$12^{16}$

24.

What is 8⁰= ?

a)

0

b)

8

c)

1

d)

$\frac{1}{8}$

25.

$4^{-3}$

a)

$\frac{1}{4}$

b)

$\frac{1}{4^3}$

c)

$\frac{3}{4}$

d)

$-12$

26.

Select the two expressions that are equivalent to: $4^{12}$

a)

$\frac{4^{15}}{4^3}$

b)

$4^3\cdot4^4$

c)

$4^{-12}$

d)

$\left(4^9\right)^3$

e)

$4^7\cdot4^5$

27.

Find the side length of a cube with a volume of $27cm^3$

a)

6 cm

b)

7 cm

c)

4 cm

d)

3 cm

28.

$\sqrt{\frac{16}{81}}\ \ =\ ?$

a)

$\frac{8}{27}$

b)

$\frac{8}{9}$

c)

$\frac{4}{9}$

d)

$\frac{4}{3}$

29.

The area of a square is 9 cm². What is the length of one side?

a)

6 cm

b)

81 cm

c)

5 cm

d)

3 cm

30.

$\frac{11^4}{\left(11^2\right)^{-3}}=$

a)

$11^{10}$

b)

$11^2$

c)

$11^5$

d)

$11^6$

31.

What is:

5^3

a)

15

b)

125

c)

25

d)

625

32.

a)

6

b)

7

c)

72

d)

144

33.

a)

50

b)

25

c)

10

d)

10,000

34.

a)

243

b)

8

c)

11

d)

9

35.

Write the following in correct scientific notation:

.00681\times10^5

a)

$6.81\times10^8$

b)

$6.81\times10^2$

c)

$6.81\times10^{-3}$

d)

$6.81\times10^1$

36.

What is

\sqrt{169}-\sqrt{9}

a)

10

b)

16

c)

160

d)

18.8

37.

How do you correctly say 9²

a)

9 squared

b)

9 quadrupled

c)

9 cubed

d)

9 times 2

38.

What is the approximate value of $\frac{\pi^2}{2}$ rounded to the nearest hundredth?

a)

1.57

b)

3.14

c)

4.93

d)

9.86

39.

Match the following

a)

$7^9\cdot7^5$

1.

$7^{14}$

b)

$\frac{7^9}{7^5}$

2.

$7^4$

c)

$\left(7^9\right)^5$

3.

$7^{45}$

d)

$7^{-4}$

4.

$\frac{1}{7^4}$

e)

$7^0$

5.

$1$

40.

Select all the ones that are between 4 and 5:

a)

$\sqrt[]{20}$

b)

$2\pi$

c)

$\frac{\sqrt[3]{512}}{2}$

d)

$\pi-2$

e)

$\sqrt[]{13}$

Lessons 23 -25 Review

Total questions: 40

Worksheet time: 25mins

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