Initial Diagnostic Audit - Unit A1: Decimals and Fractions

Do NOT use a calculator for any questions in the audit unless specifically told otherwise
Section A1.1 - Decimals
1. What is the value of the point marked A on the number line below?


A =

2. 0.2 + 0.08 =
3. 3.067 + 0.09 =
4. 4.05 – 0.88 =
5.
What is 0.025 as a fraction?  
  
Section A1.2 - Multiplying and Dividing with Decimals
6. 3.67 × 1000 =
7. 80 ÷ 0.4 =
8. 278.4 ÷ 40 =
9. What is the cost, in £s, of 300 pencils, each costing 5.5p? £
10. A car travels at an average speed of 72.5 mph.
How far will it travel in 1.5 hours?
Section A1.3 - Fractions and Decimals
11. Round 0.05693 to 2 s.f.
12. Round 3.449 to 1 d.p.
13.
Convert 
5
  to a decimal.
8
14.
What is 
2
  to 4 d.p.?
3
15. Order in increasing size the numbers below by typing the digits 1 to 4 in the given boxes with 1 representing the smallest number and 4 the largest.

0.609
0.65
3
5
2
3

Section A1.4 - Negative Numbers
16. Order in increasing size the numbers below by typing the digits 1 to 4 in the given boxes with 1 representing the smallest number and 4 the largest.

3
-1
-7
0

17. Order in decreasing size the numbers below by typing the digits 1 to 5 in the given boxes with 1 representing the largest number and 5 the smallest.

-5
-6
7
-1
1

18. Input an integer between -7 and -3.
19. Input the correct inequality sign (< or >) between the two numbers:

-10 -7

20. Input the correct inequality sign (< or >) between the two numbers:

2 -5

Section A1.5 - Operations with Negative Numbers
21. -6 × -3 =
22. 5 – (-4) =
23. -12 ÷ (-3) =
24. 5 × (-5) =
25. -7 – (-4) =
Section A1.6 - Estimating Answers
26. Estimate the answer to 5.07 ÷ 0.62, giving your answer to 1 s.f.
27.
Which one of the following answers is a good estimate for the calculation 
3.52 × 1.61
  ?
0.49

Click under the answer that you think is most appropriate.

0.11
1.1
11
0.011

28. Given that 18.4 × 3.7 ≈ 68, what is the approximate value of 1.84 × 3700?
29.
Estimate the value of 
18.5 × 11.2
 , giving your answer to 1 s.f.
3.06
30. An athlete runs at an average speed of 5.43 ms-1.
Estimate the distance run in 200 seconds, giving your answer to 2 s.f.
Section A1.7 - Using Brackets and Memory on a Calculator

Carry out the following calculations, using the BRACKET keys on your calculator.
Give all answers correct to 3 significant figures.
31. 7 × (6.2 + 17.9)
32. (22.7 + 4.32) ÷ 2.47
33.
12.7 × 5
   
(43.45 ÷ 3)
34.
7.1 + 3.3
  2   
5.9 + 2.1
35.
The surface area of a can is given by
 
A = 2πr(r+h)

Calculate A when r = 3.2 cm and h = 9.4 cm
A = cm2

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Produced by Russell Geach for CIMT - November 2012