Chapter

Topic 1 Indices

REVIEW QUESTIONS

FLUENCY

1        [pic 2] is the simplified form of:

A        [pic 3]        B        [pic 4]        C        [pic 5]        D        [pic 6]        E        [pic 7]

2        [pic 8] simplifies to:

A        [pic 9]        B        [pic 10]        C        [pic 11]        D        [pic 12]        E        [pic 13]

3        [pic 14] is equal to:

A        2        B        [pic 15]        C        [pic 16]        D        [pic 17]        E        [pic 18]

4        [pic 19] simplifies to:

A        [pic 20]        B        [pic 21]        C        [pic 22]        D        [pic 23]        E        [pic 24]

5        The expression [pic 25] is equal to:

A        [pic 26]        B        [pic 27]        C        [pic 28]        D        [pic 29]        E        [pic 30]

6        [pic 31] can be simplified to:

A        [pic 32]        B        [pic 33]        C        [pic 34]        D        [pic 35]        E        [pic 36]

7        [pic 37] can be simplified to:

A        2        B        [pic 38]        C        [pic 39]        D        [pic 40]        E        [pic 41]

8        [pic 42] can be simplified to:

A        [pic 43]        B        [pic 44]        C        [pic 45]        D        [pic 46]        E        [pic 47]

        9        [pic 48] can be simplified to: 

A        [pic 49]

B        [pic 50]

C        [pic 51]

D        [pic 52]

E        [pic 53]

10        Simplify each of the following.

a        [pic 54]

b        [pic 55]

c        [pic 56]

d        [pic 57]

11        Evaluate each of the following.

a        [pic 58]

b        [pic 59]

12        Simplify each of the following and express your answer with positive indices.

a        [pic 60]

b        [pic 61]

c        [pic 62]

13        Evaluate each of the following without using a calculator.

a        [pic 63]

b        [pic 64]

c        [pic 65]

14        Simplify each of the following.

a        [pic 66]

b        [pic 67]

c        [pic 68]

15        Evaluate each of the following without using a calculator. Show all working.

a        [pic 69]

b        [pic 70]

16        Simplify:

a        [pic 71]

b        [pic 72]

17        Simplify each of the following.

a        [pic 73]

b        [pic 74]

c        [pic 75]

18        Simplify each of the following and then evaluate.

a        [pic 76]

b        [pic 77]

PROBLEM SOLVING

1        If [pic 78], determine the value of:

[pic 79]

2        Answer the following and explain your reasoning.

a        What is the tens digit of [pic 80]?

b        What is the ones digit of [pic 81]?

c        What is the ones digit of [pic 82]?

3        For the work shown below:

a        calculate the correct answer

b        identify where the student has made mistakes.

[pic 83]

...