:Number Patterns
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Approach: Independent Level: Year 4 and year 8
Focus:   Assessing numbers in sequence
Resources: Answer booklet
234KB
Questions / instructions:

In this activity you are going to complete some number patterns. Here is an example:
2,
4,
6,
8,
,
.
 
The next two numbers are
10
and
12
The numbers are getting larger by 2.
     
% responses
2005 ('01)
Y4
Y8
Write down the missing numbers in each of these patterns:
 
1.
1,
4,
7,
10,
,
.
13 and 16:
both correct
68 (62)
95 (91)
one correct in the right place
5 (6)
2 (3)
2.
,
,
4,
8,
16,
32,
1 and 2:
both correct
25 (22)
73 (67)
one correct in the right place
21 (27)
12 (12)
3.
2,
3,
5,
8,
12,
17,
,
.
23 and 30:
both correct
22 (21)
68 (61)
one correct in the right place
5 (6)
7 (7)
4.
,
,
13,
10,
7,
4,
1,
19 and 16:
both correct
44 (44)
85 (78)
one correct in the right place
5 (5)
3 (4)
5.
2,
3,
6,
11,
18,
27,
,
,
38 and 51:
both correct
6 (3)
35 (32)
 
one correct in the right place
4 (6)
14 (15)
Total score:
10
3 (2)
27 (23)
 
8–9
7 (8)
34 (32)
6–7
18 (16)
22 (19)
4–5
21 (21)
8 (13)
2–3
28 (31)
7 (10)
0–1
22 (23)
1 (4)
Commentary:
Year 8 students were able to detect all but the most difficult patterns. Many year 4 students had trouble with all but the simplest patterns.
There was moderate growth seen between 2001 and 2005 at year 8 level but not at year 4 level.
 
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