Multiplication (Y8)
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Approach:  Independent  
Level: Year 8
Focus: Multiplying without a calculator  
Resources:
Answer booklet
119kb
Questions/instructions:  

Work out the answers to the multiplication questions. Show how you work out your answers.

 
   
 
% responses
2009 ('05)
y4
y8
1. 22 × 3 = [ 66 ] correct   88 (93)
incorrect with clear computational error   2 (0)
Working used: horizontal strategy   39 (22)
  vertical algorithm   17 (39)
2. 39 × 6 = [ 234 ] correct   56 (63)
incorrect with clear computational error   7 (4)
Working used: horizontal strategy   37 (18)
  vertical algorithm   22 (48)
3. 4 × 421 = [ 1684 ] correct   64 (63)
incorrect with clear computational error   6 (7)
Working used: horizontal strategy   36 (16)
  vertical algorithm   22 (50)
4. 596 × 2 = [ 1192 ] correct   64 (75)
incorrect with clear computational error   7 (6)
Working used: horizontal strategy   33 (13)
  vertical algorithm   24 (54)
5. 5 × 2808 = [ 14040 ] correct   47 (61)
incorrect with clear computational error   8 (4)
Working used: horizontal strategy   30 (11)
  vertical algorithm   24 (53)
6. 59 × 32 = [ 1888 ] correct   25 (44)
incorrect with clear computational error   7 (11)
Working used: horizontal strategy   23 (5)
  vertical algorithm   27 (57)
7. 64 × 4037 = [ 258368 ] correct   17 (30)
incorrect with clear computational error   7 (5)
Working used: horizontal strategy   14 (4)
  vertical algorithm   29 (53)

Total score:
12–14
  24 (39)
9–11
  23 (22)
6–8
  21 (19)
3–5
  14 (8)
0–2  
18 (12)
Subgroup Analysis [Click on charts to enlarge] :
Year 8


Commentary:
There has been a large decrease in performance between 2005 and 2009, particularly where computation involved carrying or where both numbers included two or more digits. Strategy explanations show major change from vertical (algorithmic) strategies to horizontal strategies. Girls scored significantly higher than boys.