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Questions
/ instructions:
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%
responses 2005 ('01) |
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Y4 |
Y8 |
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1.
If you put in a 5, what number will the machine put out? |
17
|
19
(20) |
83
(75) |
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2. If you put in a 10, what number will the machine put out? | 32
|
20
(18) |
81
(74) |
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YEAR 8 ONLY: | ||||||||||||
3. If you got out a 41, what number was put in? 13 • . 43 (32) | ||||||||||||
4 If “X” is the number put into the machine, and “Y” is the number coming out, write down a formula which will give the value of “Y” whatever the value of “X”. | y
= 3x + 2 |
• |
22
(3) |
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or
equivalent |
• |
5
(21) |
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YEAR 4 ONLY: | ||||||||||||
3.
Make the next triangle and write the number under it. |
1
3 6 10 |
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drawing
and number correct |
36
(28) |
|||||||||||
one
correct, but other omitted |
10
(12) |
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4. Which number is equal to 3 tens plus 5 tens? |
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|
76
(67) |
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|
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|
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5. How many blocks will be needed to make the next shape in this pattern? |
9
|
57
(52) |
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YEAR 4 & 8: | ||||||||||||
[question 5 for Year 8] | ||||||||||||
6.
The Jones Kids What is the smallest number of children in the Jones family if each child has at least one brother and at least one sister? |
4
|
23
(19) |
37
(38) |
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Total
score: |
7 |
3
(1) |
• |
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6 |
5
(4) |
7
(1) |
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5 |
10
(8) |
11
(7) |
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4 |
17
(13) |
17
(17) |
||||||||||
3 |
16
(18) |
26
(28) |
||||||||||
2 |
22
(20) |
21
(22) |
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1 |
19
(21) |
6
(7) |
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[Note:
Maximum score of 6 for year 8] |
0 |
9
(14) |
12
(18) |
Commentary:
Year 8 students were able to handle the calculations based on an algebraic system but had difficulty in generating the underlying equation. Year 4 students had trouble with most of the questions here. Progress was seen for both year 4 and year 8 from 2001 to 2005. |