# 4MA1 Mathematics A Oct/Nov 2021 Paper 1F (Foundation Tier Paper 1)

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

- Page: https://mathvsarham.com/past-papers/4ma1/2021-oct-nov-paper-1f/
- PDF: https://mathvsarham.com/papers/4ma1/4MA1_oct-nov_2021_paper_1F_qp.pdf
- Board: Edexcel
- Qualification: Pearson Edexcel International GCSE
- Subject: 4MA1 Mathematics A (https://mathvsarham.com/past-papers/4ma1/)
- Session: Oct/Nov 2021
- Paper: 1F (Foundation Tier Paper 1)
- Component code: 4MA1/1F
- Time allowed: 120 minutes
- Total marks: 100
- Pages: 20

## Question paper text

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

Question 1
Here are five fractions.
[Diagram or table: see page 3 of the paper]
Two of the fractions in the table are equivalent to 1/5
(a) Put a tick () in the box underneath each of these two fractions. [2]
The diagram shows an 8-sided polygon and its diagonals.
(b) Write down the mathematical name of an 8-sided polygon.
Answer: ____ [1]
(c) Shade 3/4 of the polygon shown in the diagram above. [1]
The area of a polygon is 56 cm^2
(d) Find 3/4 of 56
Answer: ____ [2]

Question 2
The table shows the average number of spectators per match, for each of six Spanish football teams, in one season.
[Diagram or table: see page 4 of the paper]
(a) Which team had the lowest average number of spectators per match?
Answer: ____ [1]
(b) Write the number 65 731 correct to the nearest thousand.
Answer: ____ [1]
(c) Write down the value of the 6 in the number 38 699
Answer: ____ [1]
In one match, Sevilla played Valencia. In the match, Sevilla had 8 shots on target and Valencia had 12 shots on target.
(d) Write the ratio 8:12 in its simplest form.
Answer: ____ [1]
In the same match, Valencia had 72% possession of the ball.
(e) Write 72% as a fraction in its simplest form.
Answer: ____ [2]

Question 3
The bar chart shows information about the numbers of text messages that Susan and Philip sent from their mobile phones on each of six days one week.
[Diagram or table: see page 5 of the paper]
(a) On which day did Susan send twice as many text messages as Philip?
Answer: ____ [1]
(b) How many text messages did Philip send on Sunday?
Answer: ____ [1]
On Saturday, Susan sent 15 text messages and Philip sent 40 text messages.
(c) Show this information on the bar chart. [1]
In the following week, Philip sent a total of 180 text messages. Of these text messages, 25% were sent to Susan.
(d) Work out 25% of 180
Answer: ____ [2]

Question 4
The table shows the temperatures recorded at midnight and at midday for each of five North American cities on a Monday one week.
[Diagram or table: see page 6 of the paper]
(a) Which city had the lowest midnight temperature?
Answer: ____ [1]
(b) Find the difference between the midnight temperature and midday temperature for Boston.
Answer: ____ °C [1]
From Monday to Thursday, the midday temperature in Detroit increased by 2°C each day.
(c) Work out the midday temperature in Detroit on Thursday.
Answer: ____ °C [2]

Question 5
James is on holiday in Canada. The exchange rate is £1 = 1.75 Canadian dollars.
(a) Change £800 into Canadian dollars.
Answer: ____ Canadian_dollars [2]
James buys a watch in Canada.
The price of the watch is 98 Canadian dollars. In England the price of an identical watch is £60
(b) Work out the difference in the prices of the two watches. Give your answer in pounds (£)
Answer: £ ____ [2]

Question 6
The accurate scale diagram shows the map of an island drawn on a centimetre grid.
[Diagram or table: see page 8 of the paper]
The position of Aaron’s house is A. The position of Bharat’s house is B.
(a) Write down the coordinates of A.
Answer: ( ____ , ____ ) [1]
(b) By measurement, find the bearing of A from B.
[Diagram or table: see page 8 of the paper]
Answer: ____ [2]
(c) Measure the length of the line AB. Give your answer in centimetres correct to one decimal place.
Answer: ____ cm [1]
Aaron cycled along a straight path from his house to Bharat’s house. The scale of the map is 1 cm represents 5 km.
(d) Work out the distance, in kilometres, that Aaron cycled.
Answer: ____ km [1]
Aaron left his house at 10 45 am and arrived at Bharat’s house at 1 05 pm.
(e) How long did Aaron’s cycle ride take him? Give your answer in hours and minutes.
Answer: ____ _hours ____ _minutes [2]

Question 7
(a) Solve 5x = 20
Answer: x = ____ [1]
(b) Simplify 3a ´ 8b
Answer: ____ [1]
(c) Simplify 8w – 4y + w – 3y
Answer: ____ [2]
(d) Factorise fully 16 + 12t
Answer: ____ [2]

Question 8
The table shows information about the grades some Year 9 students gained in a biology test and in a physics test. The highest grade is A and the lowest grade is D.
[Diagram or table: see page 10 of the paper]
(a) How many students gained a grade C in biology?
Answer: ____ [2]
(b) How many students gained the same grade in biology as they gained in physics?
Answer: ____ [2]
(c) How many students gained a higher grade in biology than they gained in physics?
Answer: ____ [2]

Question 9
The diagram shows two congruent triangles, ABC and DEF, drawn on a centimetre grid.
[Diagram or table: see page 11 of the paper]
Find the area of the region R, shown shaded in the diagram.
Answer: ____ _cm^2 [3]

Question 10
(a) Show that 3/10 ÷ 1/4 = 6/5 [2]
(b) Show that 5/6 - 3/4 = 1/12 [2]

Question 11
(a) Use your calculator to work out the value of 2. 14/1. 24
Write down all the figures on your calculator display.
Answer: ____ [2]
(b) Write your answer to part (a) correct to 2 significant figures.
Answer: ____ [1]

Question 12
[Diagram or table: see page 13 of the paper]
(a) Describe fully the single transformation that maps shape P onto shape Q.
Answer: ____ [3]
(b) On the grid, reflect shape P in the line with equation x = 5 Label your shape R. [2]

Question 13
(a) Simplify e^8 ÷ e^2
Answer: ____ [1]
(b) Expand and simplify (x – 3)(x + 1)
Answer: ____ [2]

Question 14
Here is a right-angled triangle.
[Diagram or table: see page 14 of the paper]
Calculate the value of h. Give your answer correct to 3 significant figures.
Answer: h = ____ [3]

Question 15
There are 54 fish in a tank. Some of the fish are white and the rest of the fish are red.
Jeevan takes at random a fish from the tank. The probability that he takes a white fish is 4/9
(a) Work out the number of white fish originally in the tank.
Answer: ____ [2]
Jeevan puts the fish he took out, back into the tank. He puts some more white fish into the tank.
Jeevan takes at random a fish from the tank. The probability that he takes a white fish is now 1/2
(b) Work out the number of white fish Jeevan put into the tank.
Answer: ____ [2]

Question 16
The diagram shows the front of a wooden door with a semicircular glass window.
[Diagram or table: see page 16 of the paper]
Julie wants to apply 2 coats of wood varnish to the front of the door, shown shaded in the diagram.
250 millilitres of wood varnish covers 4 m^2 of the wood.
Work out how many millilitres of wood varnish Julie will need. Give your answer correct to the nearest millilitre.
Answer: ____ _millilitres [5]

Question 17
Yasmin has some identical rectangular tiles. Each tile is L cm by W cm.
Diagram NOT
[Diagram or table: see page 17 of the paper]
Using 9 of her tiles, Yasmin makes rectangle ABCD shown in the diagram below.
[Diagram or table: see page 17 of the paper]
The area of ABCD is 1620 cm^2
Work out the value of L and the value of W.
Answer: L = ____ W = ____ [5]

Question 18
Alison buys 5 apples and 3 pears for a total cost of $1.96 Greg buys 3 apples and 2 pears for a total cost of $1.22
Michael buys 10 apples and 10 pears.
Work out how much Michael pays for his 10 apples and 10 pears. Show your working clearly.
Answer: $ ____ [5]

Question 19
Write 3.6 ´ 10^3 as a product of powers of its prime factors. Show your working clearly.
Answer: ____ [3]

Question 20
In 2018, the population of Sydney was 5.48 million. This was 22% of the total population of Australia.
Work out the total population of Australia in 2018 Give your answer correct to 3 significant figures.
Answer: ____ _million [3]

Question 21
(i) Solve the inequalities –7  2x – 3 < 5
Answer: ____ [3]
(ii) On the number line, represent the solution set to part (i)
[Diagram or table: see page 19 of the paper]
[2]

Question 22
A solid aluminium cylinder has radius 10 cm and height h cm.
[Diagram or table: see page 20 of the paper]
The mass of the cylinder is 5.4 kg. The density of aluminium is 0.0027 kg/cm^3
Calculate the value of h. Give your answer correct to one decimal place.
Answer: h = ____ [5]