



%
responses 2009 ('05) 

y4 
y8 

1. How many lizards are there?  15

87
(81) 
95
(97) 

2. How did you work out your answer?  
solution involved multiplication  (5 × 3
or 3 × 5) 
34
(35) 
82
(83) 

solution involving addition  (5 + 5 + 5)  43
(39) 
11
(12) 

other sound approach not involving counting one by one  5
(9) 
2
(0) 

any other response, including counting one by one/counting in twos  18
(17) 
5
(5) 

Hand student picture 2. Allow time.  
3. Use a quick way for working out the number of ants.  22  53
(49) 
75
(80) 

4. How did you work out your answer?  
solution involving multiplication  (5 × 2 + 3 × 4 or 5 × 5 – 3)  8
(14) 
45
(51) 

solution involving equivalent groupings  (e.g. 9 + 9 + 4)  7 (8)  8 (8)  
solution involving just addition  (5 + 4 + 4 + 5 + 4)  34 (27)  21 (18)  
other sound approach not involving counting one by one  10 (5)  5 (6)  
any other response, including counting one by one/counting in twos  41 (46)  21 (17)  
Hand student picture 3. Allow time.  
5. Use a quick way for working out the number of frogs.  16  63 (55)  74 (76)  
6. How did you work out your answer?  
solution involving multiplication (4 × 4)  1 (1)  6 (8)  
solution
involving recognising top and bottom have equivalent groupings (e.g. 6 + 4 + 6; 2 + 4 + 6 + 4) 
21 (23)  47 (46)  
solution involving row by row addition (4 + 4 + 4 + 4 or 1 + 2 + 3 + 4 + 3 + 2 + 1)  29 (29)  20 (22)  
other sound approach not involving counting one by one  10 (7)  7 (6)  
any other response, including counting one by one/counting in twos  39 (40)  20 (17)  
Hand student picture 4. Allow time.  
7. Use a quick way for working out the number of cherries.  50  29 (26)  52 (48)  
8. How did you work out your answer?  
solution involving multiplication  (7 × 5 + 5 × 3 or [3 + 7] × 5)  6 (8)  38 (36)  
solution involving addition  (of 5 tens or of 5 sevens and 5 threes)  21 (30)  18 (23)  
other sound approach not involving counting one by one  21 (12)  18 (18)  
any other response, including counting one by one/counting in twos  52 (50)  26 (23)  
Total
score: 
11–12 
4 (0)  30 (28)  
9–10  11 (16)  27 (33)  
7–8  25 (18)  19 (19)  
4–6  37 (44)  18 (16)  
0–3  23 (22)  6
(4) 
Subgroup Analysis [Click on charts to enlarge] : 
Commentary: 
There
was little change in performance at both year levels from 2005 to 2009.
Year 4 Pasifika students performed similarly to Pakeha students. 