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Page 1

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1. On the grid,
enlarge the shape
with a scale factor
of 2.

All the lengths get
doubled.
Start anywhere on
the grid, making
sure that the
answer will fit the
grid.

Page 2

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2. 80 students each study one of three languages.
The two-way table shows some information about these students.

French German Spanish Total

Female 15 11 13 39

Male 16 17 8 41

Total 31 28 21 80

(a) Complete the two-way table.
One of these students is to be picked…

Page 3

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3.(a) Simplify 3p + 5q ­ p + 2q 2p + 7q
You can only combine things that are the same


(b) Simplify 3y2 ­ y2 2 y2
How many y 2 are there left?


(c) Simplify 5c + 7d ­ 2c - 3d 3c + 4d

You can only…

Page 4

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4. The diagram shows a 5-sided shape. All the sides of the shape are
equal in length.

Diagram NOT
x accurately drawn
60
(a)(i) Find the value of x. 60
Draw a line for the base of the triangle.
60 60
y The triangle has 3 sides the same.
90…

Page 5

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5. The diagram shows a wall with a door in it.
4m

1m
Diagram NOT
3m accurately drawn
2m



(a) Work out the shaded area.

Area of large rectangle = 3 4 = 12

Area of small rectangle = 2 1 = 2

Area of shaded area = 12 -…

Page 6

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Meg can cover the shaded area with 680 tiles. She buys extra tiles in
case she breaks some. To work out the total number of tiles to buy,
Meg increases 680 by 10%.

(b) (i) Increase 680 by 10%.
10 680 10
Increase = = 68 68 0
100 10…

Page 7

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6. (a) Work out the value of 2a + ay when a = 5 and y = -3

Substitute the value of a = 5 and y = -3 in the expression

2a + a y = 10 + -15
Use the rule + - = -
10 + -15…

Page 8

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7. The cost of a calculator is £6.79. Work out the cost of 28 of these
calculators.
There are a number of ways to tackle this:
679 6.79 × 28 = £190.12
Ignore the decimal point × 28
units 5432 2 figures behind
tens 13580 the decimal point
19012

Cost…

Page 9

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7. The cost of a calculator is £6.79. Work out the cost of 28 of these
calculators.
Cost of 10 calculators = 67.90
Cost of 30 calculators = 67.90 3 = 203.70
Cost of 2 calculators = 13.58
Cost of 28 calculators = 203.70 - 13.58 = £190.12


Cost of…

Page 10

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8. The scatter graph shows some information about six new-born
baby apes. For each baby ape, it shows the mother's leg length and
the baby ape's birth weight.
The table shows the mother's leg length and the birth weight of two
more baby apes.
Mother's leg length (cm) 50 65…

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