: Algorithms (Division)
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Approach: Independent  Level: Year 4 and year 8
Focus:   Dividing without a calculator 
Resources: Answer booklet
148KB
Questions / instructions:

Write your answers in the white boxes.
You can use the shaded area to do your working.
 
% responses
2005 ('01)
Y4
Y8
1.
6 ÷ 2 =
3
67 (62)
95 (92)
2.
3 / 9
3
50 (50)
90 (92)
3.
12 ÷ 4 =
3
53 (53)
91 (90)
4.
7 / 21
3
38 (36)
88 (89)
5.
3 / 135
45
6 (6)
45 (55)
6.
5 / 8
1.6
0 (0)
9 (13)
 
1 r 3
6 (10)
49 (57)
YEAR 8 ONLY:  
7.
3 / 14
4.6 or 4.7 only
•
8 (12)
 
4 r 2
•
49 (52)
8.
8 / 26
3.2
•
14 (16)
 
3 r 2
•
44 (45)
9.
7 / 83
11.8 or 11.9 only
•
7 (11)
 
11 r 6
•
40 (39)
10.
6 / 7208
1201.3
•
9 (13)
 
1201 r 2
•
26 (34)
Total score:
14–15
•
4 (5)
 
12–13
•
3 (4)
10–11
•
14 (21)
8–9
•
27 (28)
6–7
1 (3)
19 (18)
4–5
31 (29)
19 (13)
2–3
28 (27)
11 (8)
[Note: Maximum score of 7 for year 4]
0–1
40 (41)
3 (5)

Commentary:
Students at year 4 level had difficulty with division, especially with remainders. Year 8 students had mastered the basics but had problems with division with remainders. Performance at year 4 level was similar between 2001 and 2005. Performance at year 8 level has declined somewhat.
 
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