# 4MA1 Mathematics A January 2021 Paper 1F (Foundation Tier Paper 1)

Pearson Edexcel International GCSE 4MA1 Mathematics A past paper 1F, Foundation Tier Paper 1, January 2021. Open it online or download the question paper PDF free.

- Page: https://mathvsarham.com/past-papers/4ma1/2021-january-paper-1f/
- PDF: https://mathvsarham.com/papers/4ma1/4MA1_january_2021_paper_1F_qp.pdf
- Board: Edexcel
- Qualification: Pearson Edexcel International GCSE
- Subject: 4MA1 Mathematics A (https://mathvsarham.com/past-papers/4ma1/)
- Session: January 2021
- Paper: 1F (Foundation Tier Paper 1)
- Component code: 4MA1/1F
- Time allowed: 120 minutes
- Total marks: 100
- Pages: 24

## Question paper text

Extracted automatically from the PDF; diagrams are missing and notation may be imperfect.

Question 1
The table shows the height, in metres, of each of seven volcanoes.
[Diagram or table: see page 3 of the paper]
Ojos del Salado 6893
Semeru 3676
(a) Which of these volcanoes has the greatest height?
Answer: ____ [1]
(b) Write down the value of the 8 in the number 4585
Answer: ____ [1]
(c) Write the number 6046 in words.
Answer: ____ [1]
(d) Write the number 5137 correct to the nearest hundred.
Answer: ____ [1]
(e) Work out the difference in the height of the Acamarachi volcano and the height of the Semeru volcano.
Answer: ____ _metres [1]

Question 2
Sandeep is designing some 3‑sided spinners.
He is going to spin each spinner once.
(a)(i) Write a different number on each dotted line so that when the spinner is spun it is impossible that the spinner will land on a number greater than 9
Answer: ____
Answer: ____ [1]
(ii) Write a different number on each dotted line so that when the spinner is spun it is certain that the spinner will land on a multiple of 10
Answer: ____
Answer: ____ [1]
The likelihood of an outcome is evens.
(b) On the probability scale, mark with a cross (X) the probability of this outcome.
[Diagram or table: see page 4 of the paper]
[1]

Question 3
Amir is going on holiday.
He weighs his suitcase on the weighing scales at the airport. The reading on the scale gives the weight of Amir’s suitcase.
[Diagram or table: see page 5 of the paper]
An excess luggage charge has to be paid when the weight of a suitcase is greater than 25 kg. This charge is 7.45 euros for each kilogram over the 25 kg limit.
Work out the excess luggage charge that Amir has to pay.
Answer: ____ _euros [3]

Question 4
(a) Write 0.57 as a fraction.
Answer: ____ [1]
(b) Write 0.02 as a percentage.
Answer: ____ % [1]
(c) Write 72/84 as a fraction in its simplest form.
Answer: ____ [1]
(d) Write 22/5 as a mixed number.
Answer: ____ [1]
(e) Work out 1/8 of 624
Answer: ____ [1]

Question 5
A sequence of shapes is made by shading squares on a square grid.
[Diagram or table: see page 7 of the paper]
(a) On the grid, draw Shape number 4 [1]
(b) Complete the table.
[Diagram or table: see page 7 of the paper]
[1]
(c) Find the number of shaded squares in Shape number 8
Answer: ____ [1]
(d) Explain why no shape in the sequence is made by shading exactly 50 squares.
Answer: ____ [1]

Question 6
Nav makes bracelets using cord.
Nav has a 6 metre length of cord. Each bracelet needs 17.5 cm of cord.
Work out the greatest number of bracelets that Nav can make.
Answer: ____ [3]

Question 7
(a) Simplify 10x + 4y + 3x – 6y
Answer: ____ [2]
(b) Solve 2n + 5 = 16
Answer: n = ____ [2]

Question 8
The two‑way table shows some information about the 60 noodle meals eaten in a noodle bar by each of 60 people last Friday.
[Diagram or table: see page 9 of the paper]
(a) Complete the two‑way table. [3]
One of the 60 people is selected at random.
(b) Write down the probability that this person ate Fried Udon noodles.
Answer: ____ [1]

Question 9
The diagram shows quadrilateral ABCD and isosceles triangle ADE, where AE = AD.
[Diagram or table: see page 10 of the paper]
EDC is a straight line.
Work out the value of x. Give a reason for each stage of your working.
Answer: x = ____ [4]

Question 10
In Koko’s shop
5 chocolate bars cost $5.75
2 chocolate bars and 3 packets of sweets cost $7.85
Work out the cost of one packet of sweets.
Answer: $ ____ [3]

Question 11
Akiko travelled from London to Tokyo by plane.
The plane left London at 18 40 on Friday. The plane arrived in Tokyo the next day, at 06 25 London time.
How long did the flight take? Give your answer in hours and minutes.
Answer: ____ _hours ____ _minutes [2]

Question 12
(a) Expand x(4 – x)
Answer: ____ [1]
t = ab – c
a = 1.5 b = 2.4 c = –5.6
(b) Work out the value of t.
Answer: t = ____ [2]
(c) Make d the subject of y = dx – e
Answer: ____ [2]

Question 13
(a) Express 180 as a percentage of 750
Answer: ____ % [2]
Zaina has booked a singer for a show. The singer will get 94% of the total money from the ticket sales.
The cost of each ticket for the show is 32.50 dirhams. Zaina sells 180 tickets.
(b) Work out the amount of money the singer will get.
Answer: ____ _dirhams [3]
[Diagram or table: see page 14 of the paper]

Question 14
[Diagram or table: see page 14 of the paper]
(a) Describe fully the single transformation that maps shape A onto shape B.
Answer: ____ [2]
(b) Describe fully the single transformation that maps shape B onto shape C.
Answer: ____ [3]

Question 15
A bag contains 30 coloured counters. The table gives the number of counters of each colour.
[Diagram or table: see page 15 of the paper]
One of the counters is taken at random from the bag.
(a) Write down the probability that this counter is green.
Answer: ____ [1]
(b) Write down the probability that this counter is not red.
Answer: ____ [2]

Question 16
Show that 5/6 − 3/8 = 11/24 [2]

Question 17
Pieter owns a currency conversion shop.
Last Monday, Pieter changed a total of 20 160 rand into a number of different currencies.
He changed 3/10 of the 20 160 rand into euros.
He changed the rest of the rands into dollars, rupees and francs in the ratios 9 : 5 : 2
Pieter changed more rands into dollars than he changed into francs.
Work out how many more.
Answer: ____ _rand [4]

Question 18
The table gives information about the speeds, in kilometres per hour, of 80 motorbikes as each pass under a bridge.
Speed Frequency
[Diagram or table: see page 17 of the paper]
(a) Write down the modal class.
Answer: ____ [1]
(b) Work out an estimate for the mean speed of the motorbikes as they pass under the bridge. Give your answer correct to 3 significant figures.
Answer: ____ _kilometres_per_hour [4]

Question 19
The diagram shows a container for water in the shape of a prism.
[Diagram or table: see page 18 of the paper]
The rectangular base of the prism, shown shaded in the diagram, is horizontal. The container is completely full of water.
Tuah is going to use a pump to empty the water from the container so that the volume of water in the container decreases at a constant rate.
The pump starts to empty water from the container at 10 30 and at 12 00 the water level in the container has dropped by 20 cm.
Find the time at which all the water has been pumped out of the container.
Answer: ____ [4]

Question 20
E = {20, 21, 22, 23, 24, 25, 26, 27, 28, 29}
A = {odd numbers} B = {multiples of 3}
List the members of the set
(i) A ∩ B
Answer: ____ [1]
(ii) A ∪ B
Answer: ____ [1]

Question 21
(a) Factorise fully 15y^4+ 20uy^3
Answer: ____ [2]
(b) Solve 4 – 3x = 5 − 8x/4
Show clear algebraic working.
Answer: x = ____ [3]

Question 22
(a) Write 2 840 000 000 in standard form.
Answer: ____ [1]
(b) Write 2.5 × 10^–4 as an ordinary number.
Answer: ____ [1]

Question 23
Chen invests 40 000 yuan in a fixed‑term bond for 3 years.
The fixed‑term bond pays compound interest at a rate of 3.5% each year.
(a) Work out the value of Chen’s investment at the end of 3 years. Give your answer to the nearest yuan.
Answer: ____ _yuan [3]
Wang invested P yuan. The value of his investment decreased by 6.5% each year.
At the end of the first year, the value of Wang’s investment was 30 481 yuan.
(b) Work out the value of P.
Answer: P = ____ [3]

Question 24
The region, shown shaded in the diagram, is a path.
[Diagram or table: see page 22 of the paper]
The boundary of the path is formed by two semicircles, with the same centre O, and two straight lines.
The inner semicircle has a radius of 7 metres. The path has a width of 2 metres.
Work out the perimeter of the path. Give your answer correct to one decimal place.
Answer: ____ _m [3]

Question 25
(a) Simplify (2x^3 y^5)^4
Answer: ____ [2]
(b)(i) Factorise x^2+ 5x – 36
Answer: ____ [2]
(ii) Hence, solve x^2+ 5x – 36 = 0
Answer: ____ [1]

Question 26
Here is isosceles triangle ABC.
A
[Diagram or table: see page 24 of the paper]
D is the midpoint of AC and DB = 16 cm.
Angle DAB = 65°
Work out the perimeter of triangle ABC. Give your answer correct to one decimal place.
Answer: ____ cm [4]