2006 Ks3 Sat Paper 1
2006 Ks3 Sat Paper 1
2006 Ks3 Sat Paper 1
uk
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Sizing
2. (a) Put these values in order of size with the smallest first.
2 2 3 4
5 3 3 2
2 marks
smallest largest
55 is 3125
What is 57 ?
2 marks
KS3/06/Ma/Tier 6–8/P1 4
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Operations, Finding y
a a = 0
a a = 1
a a = 2a
a a = a2 2 marks
3y + 14 = 5y + 1
y=
2 marks
KS3/06/Ma/Tier 6–8/P1 5
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Favourite sport
Yes No
1 mark
Yes No
1 mark
KS3/06/Ma/Tier 6–8/P1 6
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Consideration
1 mark
(b) Now give an example to show the statement below is not correct.
When you subtract a number from 2, the answer is always less than 2
1 mark
Yes No
1 mark
KS3/06/Ma/Tier 6–8/P1 7
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Test
50
K
40
N
R
30
Test B E H M
mark C F J
20
L P
A D G
10
0
0 10 20 30 40 50
Coursework mark
To find a pupil’s total mark, you add the coursework mark to the test mark.
1 mark
The range of coursework marks was greater than the range of test marks.
True False
1 mark
KS3/06/Ma/Tier 6–8/P1 8
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(c) Pupils with total marks in the shaded region on the graph win a prize.
50
40
30
Test
mark
20
10
0
0 10 20 30 40 50
Coursework mark
(d) Another school has a different rule for pupils to win a prize.
On the graph below, shade the region of total marks for which pupils would
win a prize.
50
40
30
Test
mark
20
10
2 marks
0
0 10 20 30 40 50
Coursework mark
KS3/06/Ma/Tier 6–8/P1 9
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Fractions
8. Work out
1 1
+ =
4 3
1 mark
1 mark
3 1
– =
5 15
1 mark
KS3/06/Ma/Tier 6–8/P1 10
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Triangle
Not drawn
accurately
a°
2b°
a° b°
a=
3 marks
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Multiplication grids
× 8
9 72
–6 30
× 0.2
3 1.2
6 3 marks
KS3/06/Ma/Tier 6–8/P1 12
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Building
6 5 represents 6.5 m 6 5 9
7 0 2 6 8 8
8 3 3 5 7 7 9
9 0 5 5 5
10 4 8
11 2 7
1 mark
m
1 mark
%
1 mark
KS3/06/Ma/Tier 6–8/P1 13
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Quiz
Person A Person B
B can win.
KS3/06/Ma/Tier 6–8/P1 14
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x and y
3x + 7y = 18
x + 2y = 5
x= y=
3 marks
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Line of best fit
14. A pupil investigated whether students who study more watch less television.
The scatter graph shows his results. The line of best fit is also shown.
40
30
Number of hours
watching television 20
in one week
10
0
0 10 20 30 40
Number of hours
studying in one week
1 mark
1 mark
KS3/06/Ma/Tier 6–8/P1 16
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Rounding
4
8.679 × 10
2 marks
8.679 × 10 –4
2 marks
KS3/06/Ma/Tier 6–8/P1 18
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Factorising
x2 + 7x + 12 = ( x + 3 )( + )
1 mark
x2 – 7x – 30 = ( x + 3 )( – )
1 mark
x2 + 7x – 18
2 marks
x2 – 49
1 mark
KS3/06/Ma/Tier 6–8/P1 19
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Mean of zero
KS3/06/Ma/Tier 6–8/P1 20
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Equation
60
y=
x – 10
y= or y=
1 mark
1 mark
(c) There are other values of x for which you cannot find a value for y
x=
1 mark
KS3/06/Ma/Tier 6–8/P1 21
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Journeys
20. This question is about a journey between two towns that are 100km apart.
100
90
80
70
60
Average
speed 50
(km/h)
40
30
20
10
0
0 1 2 3 4 5 6 7 8 9 10
Journey time (hours)
3 marks
KS3/06/Ma/Tier 6–8/P1 22
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Tangent
A D
B C
Prove that the line through A and P is a tangent of the smaller circle.
2 marks
KS3/06/Ma/Tier 6–8/P1 23
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END OF TEST