sample paper foundation - non-calculator

Sample Paper – Foundation - Non-Calculator

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1 Write 8931 correct to the nearest thousand.

[1 mark]

Answer

2 Write the following numbers in order of size.

Start with the largest number.

12 − 8 6 4 − 7

[1 mark]

3 Write 75% as a fraction in its simplest form.

[1 mark]

Answer

4 Write down the first even multiple of 15

[1 mark]

Answer

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5 Simplify 5 × 7𝑥

[1 mark]

Answer

6 There are 16 sweets in a bag.

5 of the sweets are lemon flavoured.

4 of the sweets are apple flavoured.

3 of the sweets are strawberry flavoured.

The rest of the sweets are banana flavoured.

Maria takes at random a sweet from the bag.

Calculate the probability that the sweet is either apple or banana flavoured.

Give your answer as a fraction in its simplest form.

[3 marks]

Answer


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7 600 g of herbs costs £7.20

Cecilia buys 150 g of herbs.

Calculate the cost of buying 150 g of herbs.

[2 marks]

Answer

8 The centre of this circle is marked with a cross (×).

What is the mathematical name of the straight line shown in the circle?

[1 mark]

Answer


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9 Terry and four of his colleagues are putting on a launch party for a new business.

The 5 colleagues will share the costs of the launch party equally.

Here are the costs for the launch party:

£1250 for the venue hire

£300 for catering

£105 for advertisements

Work out how much Terry has to pay for his share of the costs.

[3 marks]

Answer


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10 A dealership sells diesel, petrol and electric cars.

The composite bar chart shows information about sales over the last three years.

10(a) How many diesel cars were sold in 2018?

[1 mark]

Answer

10(b) Work out the number of petrol cars sold over the three years.

[3 marks]

Answer


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11 A wooden log is 450 cm long.

Tyrell cuts 70 cm off the end of the log.

He then cuts the rest of the log into as many 30 cm lengths as possible.

Work out how many 30 cm lengths of the log Tyrell can cut.

[3 marks]

Answer

12 Work out 11% of 200 millilitres.

[2 marks]

Answer

13 Expand 12𝑖(2𝑖 − 3)

[2 marks]

Answer


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14 There are some books on a shelf.

1

5of the books are fiction.

The rest of the books are non-fiction.

What is the ratio of the number of fiction books to the number of non-fiction books in

the form 1 ∶ 𝑛

[2 marks]

Answer

15 𝑋 = {multiples of 3 between 23 and 35}

𝑌 = {even numbers between 23 and 35}

15(a) List the members of 𝑋ڂ𝑌

[2 marks]

Answer

15(b) Describe the members of Xځ𝑌

[1 mark]

Answer


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16 Work out 21

4÷

3

5

Give your answer as a mixed fraction in its simplest form.

[2 marks]

Answer

17 In an aquarium,

the number of minnows and the number of clown fish are in the ratio 8 ∶ 3

the number of clown fish and the number of gold fish are in the ratio 6 ∶ 11

There are 33 gold fish in the aquarium.

How many minnows are there in the aquarium?

[3 marks]

Answer


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18 A train journey across Russia is 9608.5 kilometres in length.

The average speed of the train is 47.8 km per hour.

The train travels for 24 hours per day.

Estimate how many days it will take to complete the train journey.

[3 marks]

Answer


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19 The diagram below shows a solid square-based pyramid 𝐴𝑊𝑋𝑌𝑍

The base of the pyramid is a square of side 8 cm.

The height of the pyramid is 6 cm.

𝑀 is the midpoint of 𝑋𝑌 and 𝐴𝑀 = 7 cm

Work out the total surface area of the pyramid.

[4 marks]

Answer


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20 A pattern is made from 8 identical triangles.

The triangles are joined at the vertices and the bottom edge of the pattern is parallel

to the 𝑥 axis.

Point 𝑃 has the coordinates (4, 5)

Point 𝑄 has the coordinates (28,17)

Point 𝑅 is marked on the diagram.

Work out the coordinates of point 𝑅.

[5 marks]

Answer


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21 On the grid below, draw the graph of 𝑦 = 2 + 2𝑥 for the values of 𝑥 from -3 to 3

[3 marks]

End of questions

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9

-5

-4

-3

-2

-1

0 2 3 4-4 -3 -2 -1









sample paper foundation - non-calculator

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