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Maths A · Edexcel 4MA1 · Paper 1F · Foundation · regional · January 2020

Edexcel IGCSE Maths A Paper 1F Foundation January 2020 question paper 4MA1/1FR

2h 100 marks

Practise the past exam questions by topic

Edexcel 4MA1 · Paper 1F (R)

24 questions
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Question 2

At 6 pm, the temperature in Victoria’s garden was 5 °C. By midnight, the temperature in Victoria’s garden had fallen by 9 °C.

(a)

Work out the temperature in Victoria’s garden at midnight.

Here is a list of 7 temperatures.

4 °C −6 °C 4 °C 0 °C −1 °C −7 °C −5 °C

(2)

(b)

For the 7 temperatures in the list,

(b)(i)

write down the mode,

(1)

(b)(ii)

find the median.

(2)

Question 3

(a)

On the grid below, draw a kite.

Figure for question 3

(1)

(b)

Write down the mathematical name of an 8-sided polygon.

Here is a solid prism.

Figure for question 3

(1)

(c)(i)

Write down the mathematical name of this prism.

(1)

(c)(ii)

How many vertices does the prism have?

(1)

Question 4

Mike is going to buy

1 hammer at £6 2 boxes of nails at £3.50 for each box 4 pieces of wood at £4.20 for each piece some pairs of gloves at £1.80 for each pair

Mike has £40 to spend in total on these items. He wants to buy as many pairs of gloves as he can.

Work out the greatest number of pairs of gloves that Mike can buy.

(4)

Question 5

The bar chart gives information about the number of points scored by each of four teachers in a quiz.

Figure for question 5
Question 5, shown as an image

Joseph starts to draw a pictogram, shown below, for this information. The pictogram shows the number of points scored by Mr Causey and the number of points scored by Mrs Ramirez.

Figure for question 5

Complete the pictogram, including the key.

(4)

Question 7

Figure for question 7
(a)

Write down all the possible combinations that Mohsen can choose.

(2)

(b)

Find the probability that Mohsen chooses the red shirt to wear to the party.

There are 20 counters in a bag.

4 of the counters are pink. 9 of the counters are white. The rest of the counters are black.

Jean takes at random one counter from the bag.

(1)

(c)

Work out the probability that Jean takes a black counter.

(2)

Question 10

The accurate scale drawing shows the positions of two mobile phone masts, A and B.

Figure for question 10

The scale is 1 cm to 2.5 km.

(a)

Find the bearing of A from B.

(1)

(b)

Work out the actual distance, in km, between A and B.

A third mobile phone mast, C, is put up. C will be on a bearing of 115° from A. C will be 20 km from B.

(2)

Question 12

Greg bought 36 oranges. He paid 50p for each orange. Greg sold fraction of the oranges for 60p each. He sold fraction of the oranges for 40p each.

He sold the remainder of the oranges for 25p each.

Work out Greg’s percentage loss.

(5)

Question 14

Brendon, Asha and Julie share some money in the ratios 3: 2: 6 The total amount of money that Asha and Julie receive is $36

Work out the amount of money that Brendon receives.

(3)

Question 17

B = {b, l, u, e}

G = {g, r, e, y}

W = {w, h, i, t, e}

(a)

List all the members of the set

(a)(i)

B maths symbol G

(1)

(a)(ii)

W maths symbol G′

Serena writes down the statement B maths symbol G maths symbol W=maths symbol

(1)

(b)

Is Serena’s statement correct? You must give a reason for your answer.

(1)

Question 18

The diagram shows Yuen’s garden.

Figure for question 18
Question 18, shown as an image

The garden is in the shape of a semicircle of radius 7.2 m. Yuen is going to cover his garden with grass seed.

Yuen has 12 boxes of grass seed. Each box of grass seed contains enough seed to cover 6 m2 of the garden.

Has Yuen enough grass seed for his garden? Show your working clearly.

(3)

Question 22

5 children are playing on a trampoline. The mean weight of the 5 children is 28 kg.

2 of the children get off the trampoline. The mean weight of these 2 children is 26.5 kg.

Work out the mean weight of the 3 children who remain on the trampoline.

(3)

Question 23

Pablo made a solid gold statue.

He melted down some gold blocks and used the gold to make the statue. Each block of gold was a cuboid, as shown below.

Figure for question 23
Question 23, shown as an image

The mass of the statue is 5.73 kg. The density of gold is 19.32 g/cm3

Work out the least number of gold blocks Pablo melted down in order to make the statue. Show your working clearly.

(5)

Question 24

The diagram shows a regular hexagon, ABCDEF, and an isosceles triangle, GHJ.

Question 24, shown as an image
Figure for question 24
Question 24, shown as an image

The perimeter of the hexagon is equal to the perimeter of the triangle.

Find the length of each side of the hexagon. Show clear algebraic working.

(5)

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