Free Printable G9: OoO, R and IR, IL and S

1.

Evaluate the following:

$3^3−5\times(3+4)$

a)

-8

b)

-2

c)

10

d)

-5

2.

Evaluate the following:

$3\times(4+2)−10\div2$

a)

8

b)

15

c)

5

d)

13

3.

Evaluate the following:

$1^2−2^3\times3+8\div4−(3^3+2)$

a)

-30

b)

10

c)

-50

d)

-20

4.

Which of the following calculations gives the largest answer?

a)

$1−2+3+4$

b)

$1+2−3+4$

c)

$1+2+3−4$

d)

$1+2−3−4$

5.

$□+8\div2=10$

Which number should replace the box to make a true statement?

a)

10

b)

2

c)

4

d)

6

6.

Which of the following numbers are irrational?

a)

$\frac{1}{3}$

b)

$\sqrt{2}$

c)

3.14

d)

$\pi$

7.

How can you show that $\sqrt{9}$ is a rational number?

Hint: Rational numbers can be written in the form $\frac{p}{q}$ where $p$ and $q$ are integers.

a)

$\frac{\sqrt{9}}{1}$

b)

$\frac{9}{1}$

c)

$\frac{3}{1}$

d)

$3$

8.

Is $\frac{1}{4}$ terminating or recurring?

a)

Terminating

b)

Recurring

9.

Is $\frac{1}{9}$ terminating or recurring?

a)

Terminating

b)

Recurring

10.

Is 0 rational or irrational?

a)

0 is irrational.

b)

0 is rational.

11.

Evaluate $\sqrt{16}$

a)

4

b)

$\sqrt{4}$

c)

16

d)

8

12.

Evaluate $\sqrt{36}$

a)

6

b)

$\sqrt{6}$

c)

36

d)

18

13.

Evaluate $\sqrt[4]{81}$

a)

2

b)

3

c)

9

d)

4

14.

Evaluate $\sqrt[3]{64}$

a)

4

b)

8

c)

32

d)

6

15.

Simplify $9^6\times9^5$

a)

$9^{10}$

b)

$9^{11}$

c)

$9^{12}$

d)

$9^5$

16.

Evaluate $7^6\times7^{-4}$

a)

28

b)

56

c)

14

d)

49

17.

Simplify $7^7\div7^2$

a)

$7^9$

b)

$7^3$

c)

$7^5$

d)

$7^6$

18.

Simplify $6^5\div6$

a)

$6^5$

b)

$6^3$

c)

$6^2$

d)

$6^4$

19.

Simplify $5^3\div5^{-2}$

a)

$5^1$

b)

$5^4$

c)

$5^3$

d)

$5^5$

20.

Evaluate $4^0$

a)

16

b)

4

c)

0

d)

1

21.

Simplify $\left(-\frac{24.5a^{12.2}b^{-3}}{12c^{-\frac{1}{2}}}\right)^0$

a)

$-24.5a^{12.2}b^{-3}$

b)

$-\frac{24.5a^{12.2}b^{-3}}{12c^{-\frac{1}{2}}}$

c)

0

d)

1

22.

Simplify $(2^4)^3$

a)

$2^{12}$

b)

$2^7$

c)

2

d)

$2^{14}$

23.

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

a)

$4^{-6}$

b)

$4^1$

c)

$4$

d)

$-4^3$

24.

Simplify $\left(7^{\frac{1}{2}}\right)^4$

a)

$7^{\frac{4}{2}}$

b)

$7^{3.5}$

c)

$7^2$

d)

14

25.

What is the value of $2^{-3}$

a)

$\frac{1}{8}$

b)

$-\frac{1}{8}$

c)

$1.5$

d)

$\frac{1}{4}$

26.

Find the value of $25^{\frac{1}{2}}$

a)

15

b)

5

c)

10

d)

12.5

27.

Find the value of $\left(\frac{1}{8}\right)^{\frac{1}{3}}$

a)

$\frac{1}{4}$

b)

1

c)

$\frac{1}{2}$

d)

$\frac{3}{4}$

28.

Find the value of $4^{-\frac{1}{2}}$

a)

2

b)

1

c)

0

d)

0.5

29.

Fully simplify $\left(\frac{9}{16}\right)^{\frac{3}{2}}$

a)

$\frac{27}{32}$

b)

1

c)

$\frac{27}{64}$

d)

$\frac{9}{16}$

30.

Evaluate $\left(\frac{4}{9}\right)^{-\frac{3}{2}}$

a)

$\frac{8}{27}$

b)

$\frac{16}{9}$

c)

$\frac{1}{3}$

d)

$\frac{27}{8}$

31.

Simplify $\left(3x^2y^3\right)^3$

a)

$9x^4y^6$

b)

$27x^6y^9$

c)

$6x^5y^7$

d)

$27x^6y^8$

32.

Simplify $\left(25x^6y^2\right)^{\frac{1}{2}}$

a)

$25xy^2$

b)

$10x^3y^2$

c)

$5x^3y$

d)

$5x^2y$

33.

Simplify $\left(36x^{-5}y^3\right)^{-\frac{1}{2}}$

a)

$\frac{1}{6x^{\frac{5}{2}}y^{\frac{3}{2}}}$

b)

$36x^5y^3$

c)

$\frac{6y^{\frac{3}{2}}}{x^{\frac{5}{2}}}$

d)

$\frac{x^{\frac{5}{2}}}{6y^{\frac{3}{2}}}$

34.

Simplify the following surd:

$\sqrt{50}$

a)

$\sqrt{25}$

b)

10

c)

$5\sqrt{2}$

d)

$5\sqrt{5}$

35.

Simplify the following surd:

$\sqrt{300}$

a)

$3\sqrt{10}$

b)

$5\sqrt{12}$

c)

$15\sqrt{2}$

d)

$10\sqrt{3}$

36.

Simplify the following surd:

$3\sqrt{675}$

a)

$5\sqrt{27}$

b)

$9\sqrt{15}$

c)

$45\sqrt{3}$

d)

$15\sqrt{3}$

37.

Simplify the following:

$\sqrt{3}\times\sqrt{7}$

a)

$\sqrt{10}$

b)

$21$

c)

$\sqrt{21}$

d)

$\sqrt{37}$

38.

Simplify the following:

$2\sqrt{5}\times4\sqrt{3}$

a)

$8\sqrt{15}$

b)

$10\sqrt{5}$

c)

$6\sqrt{15}$

d)

$8\sqrt{12}$

39.

Simplify the following:

$\frac{\sqrt{32}}{\sqrt{2}}$

a)

32

b)

8

c)

4

d)

16

40.

Fully simplify the following:

$\frac{15\sqrt{27}}{25\sqrt{9}}$

a)

$\frac{3\sqrt{3}}{5}$

b)

$\frac{3\sqrt{9}}{5}$

c)

$\frac{9\sqrt{3}}{15}$

d)

$\frac{5\sqrt{3}}{3}$

41.

Evaluate the following:

$\sqrt{5}+\sqrt{20}$

a)

$2\sqrt{5}$

b)

$\sqrt{25}$

c)

$4\sqrt{5}$

d)

$3\sqrt{5}$

42.

Simplify the following:

$\sqrt{8}+2\sqrt{2}$

a)

$4\sqrt{2}$

b)

$3\sqrt{2}$

c)

$\sqrt{16}$

d)

$2\sqrt{2}$

G9: OoO, R and IR, IL and S

Total questions: 42

Worksheet time: 22mins

Similar Resources on Wayground