Initial Diagnostic Audit - Foundation Course - Unit 8: Decimals, Fractions and Percentages
Section 8.1 - Conversion: Decimals into Fractions
1. Write these decimals as fractions in their simplest form:

(a) 0.6 =  
  
(b) 0.28 =  
  
(c) 0.36 =  
  
(d) 0.011 =  
  
(e) 0.004 =  
  
(f) 0.009 =  
  

2. Calculate the answers to these problems, giving your answers as decimals and fractions:

(a) 0.7 + 0.02 = or  
  
(b) 0.9 - 0.5 = or  
  
(c) 0.72 - 0.41 = or  
  
(d) 0.4 + 0.02 = or  
  

3. Write each list of numbers in increasing order:

(a) 0.16,  0.1,  0.6,  0.61,  0.106,  0.601   

(b) 0.4,  0.401,  0.104,  0.34,  0.43   

Section 8.2 - Conversion: Fractions into Decimals
4. Write these fractions as decimals:

(a)   
8
10
   =
(b)   
22
100
   =
(c)   
16
1000
   =
(d)   
3
100
   =

5. Determine the missing value from the fraction and then write each fraction as a decimal:

(a)   
2
5
   =  
10
   =
(b)   
3
25
   =  
100
   =
(c)   
7
250
   =  
1000
   =
(d)   
3
8
   =  
1000
   =

6. Write these fractions as decimals:

(a)   
3
5
   = (b)   
9
50
   =
(c)   
6
25
   = (d)   
19
20
   =
(e)   
11
125
   = (f)   
16
25
   =

Section 8.3 - Introduction to Percentages
7. What percentage of each of the following shapes is shaded:

(a)      %

(b)      %

(c)      %

(d)      %

8. Calculate:

(a) 50% of £98 = £ (b) 30% of 60 m = m

(c) 15% of £200 = £ (d) 5% of £5 = p

(e) 16% of £20 = £ (f) 30% of 40 kg = kg

Section 8.4 - Decimals, Fractions and Percentages
9. Write these percentages as fractions in their simplest form:

(a) 22% =  
   (b) 44% =  
  
(c) 58% =  
   (d)   7% =  
  
(e)   8% =  
   (f) 60% =  
  

10. Write these fractions as percentages:

(a)   
11
100
   = % (b)   
14
20
   = %
(c)   
6
25
   = % (d)   
7
50
   = %
(e)   
14
25
   = % (f)   
17
20
   = %

11. Each of the 25 children in a class was asked to state their favourite subject. The results are listed below:

Maths8
English2
PE  10
Science    1
Art4

What percentage of the children in the class that chose Maths? %

12. There are 20 cars in a car park; 7 of these cars are red. What percentage of the cars in the car park are red?

%

13.
17
20
   of the children in a class can ride a bike.
What percentage of the children in the class cannot ride a bike?

%

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Produced by Russell Geach for CIMT - November 2017