Fraction Problems
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Approach:  Station  
Level: Year 4 and year 8
Focus: Calculations with fractions  
Resources:
Answer booklet
143kb
Questions/instructions:  

1. Write your answers to the fraction problems in the boxes.

  
   
 
% responses
2009 ('05)
y4
y8
a. 1/2 + 1/2 = [        ] 1 42 70
  2/2 6 5
  2/4 15 12
b. 3 + 1/4 = [        ] 3 1/4 19 63
c. 1/4 + 2/4 = [        ] 3/4 30 70
  3/8 22 14
d. 1 – 1/2 = [        ] 1/2 26 62
e. 3/4 – 1/4 = [        ] 1/2 7 18
  2/4 23 48
f. 3/4 + 3/4 = [        ] 1 1/2 7 25
  1 2/4 5 17
  6/4 11 9
  wrong 6/8 26 20
YEAR 8 ONLY:     
g. 2 ÷ 1/4 = [        ] 8   19
  wrong1/2 or 2/4   18
h. 1/4 × 1/2 = [        ] 1/8   24
  wrong1/4   3
i. 1 1/3 ÷ 1/3 = [        ] 4   19
  wrong4/3   4
j. 1/4 ÷ 2 = [        ] 1/8   19
  wrong1/2   10


Y4 Total score:

7–9

 8  
5–6
13  
3–4
17  
1–2
24  
0  38  
Y8 Total score: 11–13
  8
8–10
 		   25
5–7
  30
2–4
  21
0–1    16
Subgroup Analysis [Click on charts to enlarge] :
Year 4
Year 8
Commentary:
All except the first component proved very difficult for year 4 students, with less than 30% succeeding with each component. The additional components for year 8 students also had low success rates.