Summer Assessment
Year 9
Mathematics
Core: Calculator allowed
Time allowed: 45 minutes
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Teacher
These assessments have been designed by White Rose Maths.
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1 Six hexagons are drawn on a grid.
D
F
A
C
E
Which hexagon is congruent to A?
1 mark
2 Write a prime number that is greater than 30 but less than 40
1 mark
Write the first multiple of 8 that is greater than 300
1 mark
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3 Write 830 million in standard form.
1 mark
Write 5.7 × 10-5 in ordinary form.
1 mark
4 Here is a fair spinner.
1
3 2
1 1
3
Dexter spins the spinner 720 times.
Estimate the number of times the spinner lands on 2
1 mark
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5 Shade the locus of points less than 4 cm away from A.
A
x
1 mark
Work out the area of the shaded region.
cm2
2 marks
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6 The equation of a straight line is y = 5x —4
What is the gradient of the line?
1 mark
Write the coordinates of the y-intercept of the line.
1 mark
7 What inequality is represented on the number line?
n
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
1 mark
Represent the solution to 2x + 9 < 1 on the number line.
x
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
3 marks
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8 The probability that a biased coin lands on heads is 0.47
13
The probability that a biased dice lands on an even number is
20
Samira flips the coin and rolls the dice.
Find the probability that the coin lands on tails and the dice
lands on an even number.
2 marks
9 Prove that the triangle is right-angled.
12 cm
35 cm
Diagram not
37 cm drawn accurately
2 marks
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10 Enlarge the rectangle by scale factor 3 centre (1, 1).
y
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
0 x
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
2 marks
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11 Translate shape A by the vector ( --35 )
y
8
7
6
5
4
3
2 A
1
x
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
-1
-2
-3
-4
-5
-6
-7
-8
2 marks
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12 Here are the costs of buying the same tube of crisps from two
different shops.
Bargain Hut Mega Saver
CRISPS
CRISPS
£3.99 a tube £3.99 a tube
Buy 2 get 1 free 20% off
Rob wants to buy 30 tubes of crisps.
At which shop will Rob pay the least amount of money?
Show working to support your answer.
3 marks
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13 Mr Ellis invests £800 into an account that pays 3.4% compound
interest per year.
How much will be in the account after 2 years?
£
2 marks
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14 Work out the surface area of the triangular prism.
7 mm 11 mm
4.8 mm
23 mm
15 mm
mm2
3 marks
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15 Line segments WX and YZ intercept at point P.
Z
W X
P
WPZ is 82° greater than ZPX
Calculate the size of angle WPY
°
3 marks
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16 A special offer box of breakfast cereal contains 20% extra free.
The mass of cereal in the special offer box is 750 g.
What is the mass of cereal in the normal size box?
g
3 marks
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17 A solid cuboid is made from oak.
3 cm
10 cm
The cuboid has a mass of 80 g.
The density of oak is 0.67 g/cm3
Work out the height of the cuboid.
Give your answer to three significant figures.
cm
3 marks
END OF TEST
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