Initial Diagnostic Audit - Foundation Course - Unit 7: Fractions
Section 7.1 - Fractions
1. What fractions of each of these shapes has been shaded?

(a)    =  
  

(b)    =  
  

(c)    =  
  

Section 7.2 - Equivalent Fractions
2. Complete the missing values for the equivalent fractions below:

(a)   
2
3
   =      (b)   
5
7
   =     
6
14
(c)   
8
22
   =      (d)   
6
18
   =     
11
3
(e)   
28
100
   =      (f)   
42
72
   =     
25
12
3. Insert either < , > or = between each fraction to make each statement correct:

(a)   
4
7
     
4
9
    (b)   
3
12
     
1
4
   
(c)   
3
15
     
5
9
    (d)   
3
12
     
4
16
   
(e)   
5
8
     
5
9
    (f)   
6
7
     
5
6
   

4. Write each of these fractions in the simplest possible form:

(a)   
20
60
   =  
   (b)   
15
45
   =  
  
(c)   
10
50
   =  
   (d)   
14
21
   =  
  
(e)   
14
18
   =  
   (f)   
1
13
   =  
  

Section 7.3 - Fractions of Quantities
5. Calculate:

(a)   
1
2
   of 18 = (b)   
1
4
   of 20 =
(c)   
1
7
   of 21 = (d)   
1
8
   of 24 =
(e)   
1
10
   of 120 = (f)   
1
12
   of 24 =

6. Calculate:

(a)   
2
3
   of 6 = (b)   
4
5
   of 15 =
(c)   
3
4
   of 36 = (d)   
5
7
   of 14 =
(e)   
5
9
   of 45 = (f)   
3
11
   of 22 =


7.
A car park is said to be 
3
4
  full. How many cars are there in the car park if it holds 72 cars?
Section 7.4 - Mixed Numbers and Improper Fractions
8. For each of these diagrams, write the number represented as a mixed number and also as an improper fraction:

(a)      =  
  or  
  

(b)      =  
  or  
  

(c)      =  
  or  
  

9. Convert these mixed numbers to improper fractions:

(a)   
4
1
2
   =  
   (b)   
2
3
4
   =  
  
(c)   
6
1
2
   =  
   (d)   
5
1
4
   =  
  
(e)   
1
4
5
   =  
   (f)   
2
2
7
   =  
  

10. Convert these improper fractions to mixed numbers:

(a)   
11
2
   =  
   (b)   
10
3
   =  
  
(c)   
10
7
   =  
   (d)   
11
9
   =  
  
(e)   
12
5
   =  
   (f)   
8
7
   =  
  

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Produced by Russell Geach for CIMT - November 2017