Initial Diagnostic Audit - Unit B1: Indices and Factors

Do NOT use a calculator for any questions in the audit unless specifically told otherwise
Section B1.1 - Squares, Cubes, Square Roots and Cube Roots
1. 43 =
2. 132 =
3.
√   =
121
4.
  =
216
5. 54 – 52 =
Section B1.2 - Index Notation
6. Calculate 32 × 33
7.
53 × 54 = 5   
8.
74 ÷ 72 = 7   
9.
81 = 3   
10.
62 4   = 6   
Section B1.3 - Factors
11. List all the factors of 24. (Separate each factor by a comma)
Fill in the missing factors for the questions below.
12. 45 = 3 × × 5
13. 42 = 7 × ×
14. Which of these numbers is NOT divisible by 3?
12, 18, 39, 82, 120  
15. Give a number which is a factor of all these numbers.
21, 63, 154, 343  
Section B1.4 - Prime Factors, HCF and LCM
16. Select all of the numbers below that are PRIME numbers.
4
9
12
17
27
39
87
17. Show 630 as a product of its prime factors below.

× × × ×

18. What is the highest common factor (HCF) of 40 and 140?
19. What is the lowest common multiple (LCM) of 24 and 30?
20. What is the HCF of 72, 168 and 312?
Section B1.5 - Further Index Notation
You may use a calculator for the questions in this section
21.
2–3 =   
  
22.
8
2
3
   =
23. 4–3 × 44 =
24.
1
10
 –2   =
25.
a6
–
1
3
   =  
1
a

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Produced by Russell Geach for CIMT - December 2012