Indices & Surds Quiz

Question 1

Simplify: 3² × 3⁴

Accepted Answer

3⁶

Answer

3⁸

Answer

9⁶

Answer

6⁶

Question 2

Simplify: 5⁷ ÷ 5³

Accepted Answer

5⁴

Answer

5²¹

Answer

1⁴

Answer

25⁴

Question 3

Simplify: (2³)⁴

Accepted Answer

2¹²

Answer

2⁷

Answer

8⁴

Answer

6⁴

Question 4

What is 4^(1/2)?

Accepted Answer

2

Answer

8

Answer

16

Answer

0.5

Question 5

What is 8^(2/3)?

Accepted Answer

4

Answer

2

Answer

16

Answer

64

Question 6

What is 5⁻²?

Accepted Answer

1/25

Answer

−25

Answer

−10

Answer

1/10

Question 7

What is a 'surd'?

Accepted Answer

An irrational root that cannot be simplified to a whole number or fraction

Answer

Any fraction

Answer

A number raised to a negative power

Answer

Any number involving π

Question 8

Simplify: √50

Accepted Answer

5√2

Answer

5

Answer

25√2

Answer

10√5

Question 9

Simplify: √12 + √3

Accepted Answer

3√3

Answer

√15

Answer

4√3

Answer

2√3 + √3

Question 10

Expand and simplify: (√3 + 1)(√3 − 1)

Accepted Answer

3 − 1 = 2

Answer

3 + 1 = 4

Answer

√3 − 1

Answer

0

Question 11

What is 'rationalising the denominator'?

Accepted Answer

Rewriting a fraction so the denominator contains no surds

Answer

Simplifying a fraction by cancelling common factors

Answer

Converting a surd to a decimal

Answer

Squaring both sides of an equation

Question 12

Rationalise: 1/√5

Accepted Answer

√5/5

Answer

√5/25

Answer

5/√5

Answer

1/5

Question 13

Simplify: 2√18 − √8

Accepted Answer

6√2 − 2√2 = 4√2

Answer

√10

Answer

2√10

Answer

4√10

Question 14

What is 27^(−1/3)?

Accepted Answer

1/3

Answer

−3

Answer

3

Answer

−1/3

Question 15

Simplify: (√5)²

Accepted Answer

5

Answer

10

Answer

25

Answer

√25

Question 16

Which of these is equal to 16^(3/4)?

Accepted Answer

8

Answer

4

Answer

12

Answer

64

Question 17

Rationalise the denominator: 6/(2+√2). Multiply by conjugate (2−√2).

Accepted Answer

3(2−√2)

Answer

6(2−√2)/2

Answer

12−6√2

Answer

6(2−√2)/4

Question 18

Simplify: x⁵ × x⁻² / x

Accepted Answer

x²

Answer

x³

Answer

x⁴

Answer

x⁸

Question 19

If 2ˣ = 32, what is x?

Accepted Answer

5

Answer

4

Answer

6

Answer

16

Question 20

Expand: (3 + √2)²

Accepted Answer

11 + 6√2

Answer

9 + 2

Answer

9 + 6√2 + 2

Answer

11