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Approach:  Independent
ACCESS
Level: Year 4 and year 8
Focus: Finding symmetry  
Resources:
Ruler, answer booklet
164kb
Questions/instructions:

The dotted line shows where the shape could be folded exactly in half.
 
 
% responses
2009 ('05)
y4
y8
1. Draw dotted lines on these shapes to show where they could be folded exactly in half.
You may use a ruler.		 86 (80) 95 (98)
80 (69) 97 (94)
97 (97)
97 (100)
93 (93) 95 (97)
YEAR 8 ONLY:    
2. These shapes can be folded in half in more than one way. Draw dotted lines on each shape to show two ways that it could be folded exactly in half. You may use a ruler.    
both lines given   91 (93)
one line given 3 (3)
two correct plus at least one incorrect 0 (1)
one correct and one incorrect 3 (2)
both lines given 93 (94)
one line given 4 (3)
two correct plus at least one incorrect 1 (2)
one correct and one incorrect 0 (0)
3. Draw dotted lines on these shapes to show all the ways that they could be folded exactly in half. You may use a ruler.    
all correct lines given   61 (70)
two to three correct lines given 31 (27)
one correct line given 3 (2)
all correct plus at least one incorrect 1 (0)
some correct lines and at least one incorrect 0 (1)
all correct lines given 34 (41)
two to five correct lines given 60 (56)
one correct line given 3 (2)
all correct plus at least one incorrect 1 (0)
some correct lines and at least one incorrect 0 (0)
4. Draw the other half of this shape so the dotted line is where the shape could be folded exactly in half. You may use a ruler.    
correct as shown   88 (94)
partially correct
(one or more lines correctly drawn)		   6 (3)

Y4 Total score:
 4
 		 71 (62)  
3
17 (21)  
0–2
12 (17)  
Y8 Total Score: 24
  27 (33)
23
 
23 (28)
22
  25 (24)
20–21
  11 (9)
0–19   14 (6)
Subgroup Analysis [Click on charts to enlarge] :
Year 4
Year 8
Commentary:
Performance levels were high, for both year 4 and year 8 students, where there were only one or two lines of symmetry, but dropped markedly for year 8 students where there were four to six lines of symmetry. Year 4 students scored slightly higher in 2009 than in 2005, while year 8 students scored slightly lower.