Initial Diagnostic Audit - Unit A2: Using Fractions and Percentages

Do NOT use a calculator for any questions in the audit unless specifically told otherwise
Section A2.1 - Fractions, Decimals and Percentages
1.
Convert 12% to a fraction.  
  
2. Convert 5.5% to a decimal.
3. Convert 0.375 to a percentage. %
4.
Convert 
3
  to a percentage. %
8
5.
Complete this equation:  
4
  =  
  =  
20
 
5
100
Section A2.2 - Fractions and Percentages of Quantities
6. What is 30% of £60? £
7.
What is 
4
  of 63 kg? kg
9
8. A theatre has 2500 seats of which 16% have binoculars available.
How many binoculars are there?
9. A house bought for £110000 has increased in value by 15%.
What is its price now? £
10. In a school, 65% of the students are girls.
If there are 169 girls, how many boys are there?
Section A2.3 - Quantities as Percentages
11. Express 7 out of 25 as a percentage. %
12. Express 58 out of 200 as a percentage. %
13. Which one of the following results represents the best performance in terms of percentage score?

Click under the answer that you think is correct

17 out of 25
67 out of 100
33 out of 50
6 out of 10

14. The total cost of a repair is £40, of which £15 is the call-out charge.
What percentage of the total cost is the call-out charge?. %
15. A book contains 55 black and white pages and 25 colour pages.
What percentage of the pages were in colour?. %
Section A2.4 - Addition and Subtraction of Fractions
16.
2
  +  
3
  =  
 
9
9
17.
5
  –  
3
  =  
 
11
11
18.
1
  +  
3
  =  
 
4
5
19.
1
  –  
1
  =  
 
3
4
20.
3
  +  
1
  –  
3
  =  
 
5
10
20
Section A2.5 - Multiplication and Division of Fractions
21.
2
  ×  
1
  =  
 
7
5
22.
1
1
  ×  
3
  –  
2
  =  
 
5
4
5
23.
2
  ÷  
4
  =  
 
3
9
24.
1
3
  ÷ 1
5
  =  
 
4
8
25.
2
1
  ÷  1
1
  –  
5
  =  
 
4
3
6

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Produced by Russell Geach for CIMT - November 2012