# 4MA1 Mathematics A Oct/Nov 2020 Paper 1FR (Foundation Tier Paper 1)

Pearson Edexcel International GCSE 4MA1 Mathematics A past paper 1FR, Foundation Tier Paper 1, Oct/Nov 2020. Open it online or download the question paper PDF free.

- Page: https://mathvsarham.com/past-papers/4ma1/2020-oct-nov-paper-1fr/
- PDF: https://mathvsarham.com/papers/4ma1/4MA1_oct-nov_2020_paper_1FR_qp.pdf
- Board: Edexcel
- Qualification: Pearson Edexcel International GCSE
- Subject: 4MA1 Mathematics A (https://mathvsarham.com/past-papers/4ma1/)
- Session: Oct/Nov 2020
- Paper: 1FR (Foundation Tier Paper 1)
- Component code: 4MA1/1FR
- 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
Here is a shape made of squares.
(a) Shade 1/6 of the shape. [1]
(b) Change 19/5 into a mixed number.
Answer: ____ [1]
7/11 of a class walk to school.
(c) What fraction of the class do not walk to school?
Answer: ____ [1]
(d) Write down a fraction that is equivalent to 7/9
Answer: ____ [1]
(e) Write 0.03 as a fraction.
Answer: ____ [1]

Question 2
The pictogram gives information about the number of eggs laid by Ellie’s chickens in April, in May and in June.
[Diagram or table: see page 4 of the paper]
(a) How many eggs were laid by Ellie’s chickens in April?
Answer: ____ [1]
Ellie’s chickens laid more eggs in June than in May.
(b) How many more?
Answer: ____ [2]
Ellie’s chickens laid 52 eggs in July.
(c) Show this information on the pictogram. [1]

Question 3
The diagram shows five shaded shapes on a grid of squares.
[Diagram or table: see page 5 of the paper]
Two of the shapes are congruent.
(a) Write down the letters of these shapes.
Answer: ____ _and ____ [1]
(b) On the square grid below, draw a shape that is similar to but is not congruent to shape B. [2]
All of the shapes on the grid have 6 sides.
(c) Write down the mathematical name for a shape that has 6 sides.
Answer: ____ [1]

Question 4
There are 12 beads in a bag.
6 of the beads are green 4 of the beads are blue 2 of the beads are pink
Peter takes at random a bead from the bag.
(a) Circle the word in the list below that best describes the likelihood that the bead is green.
[Diagram or table: see page 6 of the paper]
[1]
(b) On the probability scale, mark with a cross (X) the probability that the bead is orange.
[Diagram or table: see page 6 of the paper]
[1]
(c) On the probability scale, mark with a cross (X) the probability that the bead is blue.
[Diagram or table: see page 6 of the paper]
[1]
(d) On the probability scale, mark with a cross (X) the probability that the bead is green or pink.
[Diagram or table: see page 6 of the paper]
[1]

Question 5
(a) Simplify w + w + w + w – w
Answer: ____ [1]
(b) Simplify 4 × a × 2
Answer: ____ [1]
(c) Simplify f × f × f × f × f
Answer: ____ [1]
(d) Simplify 4c + 4h + 5c – 6h
Answer: ____ [2]
(e) Factorise 10d + 15
Answer: ____ [1]
(f) Make t the subject of e = 7t + g
Answer: ____ [2]

Question 6
Candles cost £3.05 each. Theo has £30 to spend on candles. He buys as many candles as he can for £30
Work out how much change Theo should get.
Answer: £ ____ [3]

Question 7
[Diagram or table: see page 9 of the paper]
The diagram shows four parcels. The total weight of the four parcels is 8.3 kg.
The weight of the parcel labelled B is 3.2 kg. Each of the three parcels labelled A have the same weight.
(a) Work out the weight of each of the parcels labelled A.
Answer: ____ _kg [2]
Here are another three parcels.
[Diagram or table: see page 9 of the paper]
The total weight of the three parcels is 9.45 kg.
Each of the two parcels labelled D have the same weight.
The weight of each parcel labelled D is 3× the weight of the parcel labelled C.
(b) Work out the weight of the parcel labelled C.
Answer: ____ _kg [2]

Question 8
There are 150 people at an international conference. These 150 people were each asked to say what their main method of transport was to get to the conference. The two‑way table shows some information about these people and their answers.
[Diagram or table: see page 10 of the paper]
(a) Complete the two‑way table. [3]
One of the men from these 150 people is selected at random.
(b) Write down the probability that this man’s main method of transport was train.
Answer: ____ [1]

Question 9
A box is to be filled with cartons.
[Diagram or table: see page 11 of the paper]
Each carton is a cube that measures 4 cm by 4 cm by 4 cm. The box is a cuboid that measures 60 cm by 48 cm by 40 cm.
Work out the number of cartons that can completely fill the box.
Answer: ____ [3]

Question 10
The diagram shows a square and an isosceles triangle.
[Diagram or table: see page 12 of the paper]
The square has sides of length 6 cm. The base of the isosceles triangle is 6 cm.
The perimeter of the square is equal to the perimeter of the isosceles triangle.
The shaded shape is made by putting three of the isosceles triangles around the square as shown in the diagram below.
[Diagram or table: see page 12 of the paper]
Work out the perimeter of the shaded shape. Show your working clearly.
Answer: ____ _cm [4]

Question 11
On the grid, draw the graph of y = 3x – 2 for values of x from –1 to 4
[Diagram or table: see page 13 of the paper]
[3]

Question 12
E = {whole numbers from 1 to 15}
A = {even numbers}
B = {3, 6, 9, 12, 15}
Complete the Venn diagram for the setsE, A and B.
[Diagram or table: see page 14 of the paper]
[3]

Question 13
Find which is larger
[Diagram or table: see page 14 of the paper]
You must show all your working.
Answer: ____ [3]

Question 14
Find the lowest common multiple (LCM) of 20 and 35
Answer: ____ [2]

Question 15
[Diagram or table: see page 15 of the paper]
The diagram shows a circle, centre O, with radius 15 cm.
Work out the area of the circle. Give your answer in cm^2 correct to the nearest whole number.
Answer: ____ _cm^2 [2]

Question 16
The graph below can be used to change between euros and dirham.
[Diagram or table: see page 16 of the paper]
(a) Use the graph to change 200 dirham to euros.
Answer: ____ _euros [1]
The price of a jacket is 90 euros in France and 400 dirham in the United Arab Emirates.
(b) In which of these countries is the jacket cheaper? You must show your working.
Answer: ____ [2]

Question 17
Show that 3 3/4 × 7/9 = 2 11/12 [3]

Question 18
Using ruler and compasses only, construct the bisector of angle ABC. You must show all your construction lines.
[Diagram or table: see page 17 of the paper]
[2]

Question 19
(a) Simplify h^7× h^2
Answer: ____ [1]
G = c^2– 4c
(b) Find the value of G when c = –5
Answer: G = ____ [2]
(c) Solve 5x − 3/4 = 2x + 3
Show clear algebraic working.
Answer: x = ____ [3]

Question 20
The table gives information about the length of time, in minutes, that each of 60 students took to travel to school on Monday.
[Diagram or table: see page 19 of the paper]
Work out an estimate for the mean length of time taken by these 60 students to travel to school on Monday. Give your answer correct to one decimal place.
Answer: ____ _minutes [4]

Question 21
In 2017, the population of a village was 7500 In 2019, the population of the village was 8265
(a) Work out the percentage increase in the population of the village from 2017 to 2019
Answer: ____ % [3]
In a sale, normal prices are reduced by 30% The sale price of a T‑shirt was 31.50 euros.
(b) Work out the normal price of the T‑shirt.
Answer: ____ _euros [3]

Question 22
Point A has coordinates (–3, 11) Point B has coordinates (47, b) The midpoint of AB has coordinates (a, –19)
Find the value of a and the value of b.
Answer: a = ____
Answer: b = ____ [2]

Question 23
Pedro drove from Toulouse to Montpellier in 2 hours 42 minutes. He drove at an average speed of 90 km/hour.
Janine drove from Toulouse to Montpellier along the same route as Pedro. The journey took her 3 hours.
Work out Janine’s average speed for the journey.
Answer: ____ _km/hour [4]

Question 24
Harold bought an antique clock for £1200 The clock increased in value by 8% per year.
Find the value of the clock exactly 3 years after Harold bought the clock. Give your answer correct to the nearest £.
Answer: £ ____ [3]

Question 25
A box is put on a horizontal table.
The face of the box in contact with the table is a square of side 1.5 metres. The pressure on the table due to the box is 34.8 newtons/m^2
Work out the force exerted by the box on the table. pressure =
[Diagram or table: see page 22 of the paper]
Answer: ____ _newtons [3]

Question 26
Alex makes 80 cakes to sell. He makes chocolate cakes, lemon cakes and fruit cakes where
[Diagram or table: see page 23 of the paper]
all of the chocolate cakes
3/4 of the lemon cakes
7/8 of the fruit cakes
The profit he makes on each cake he sells is shown in the table.
[Diagram or table: see page 23 of the paper]
Work out the total profit that Alex makes from the cakes he sells.
Answer: £ ____ [5]

Question 27
The diagram shows a regular octagon ABCDEFGH.
[Diagram or table: see page 24 of the paper]
Work out the size of angle HAC.
[Diagram or table: see page 24 of the paper]
Answer: ____ [3]