# 4MA1 Mathematics A Oct/Nov 2023 Paper 1F (Foundation Tier Paper 1)

Pearson Edexcel International GCSE 4MA1 Mathematics A past paper 1F, Foundation Tier Paper 1, Oct/Nov 2023. Open it online or download the question paper PDF free.

- Page: https://mathvsarham.com/past-papers/4ma1/2023-oct-nov-paper-1f/
- PDF: https://mathvsarham.com/papers/4ma1/4MA1_oct-nov_2023_paper_1F_qp.pdf
- Board: Edexcel
- Qualification: Pearson Edexcel International GCSE
- Subject: 4MA1 Mathematics A (https://mathvsarham.com/past-papers/4ma1/)
- Session: Oct/Nov 2023
- Paper: 1F (Foundation Tier Paper 1)
- Component code: 4MA1/1F
- Time allowed: 120 minutes
- Total marks: 100
- Pages: 28

## Question paper text

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

Question 1
Here is a list of numbers.
[Diagram or table: see page 3 of the paper]
(a) From the numbers in the list, write down
(i) an even number
Answer: ____ [1]
(ii) a cube number
Answer: ____ [1]
Here are the temperatures, in °C, in Paris at midnight for one week.
[Diagram or table: see page 3 of the paper]
(b) Write down the lowest temperature.
Answer: ____ °C [1]
(c) Find the square root of 441
Answer: ____ [1]
Hassan says,
“the sum of two prime numbers is always even”
(d) Give an example to show that Hassan is not correct.
Answer: ____ [1]

Question 2
The bar chart shows information about the number of international students who studied in each of five countries in 2019
500
400
[Diagram or table: see page 4 of the paper]
(a) In which of these five countries did the greatest number of international students study?
Answer: ____ [1]
(b) Write down the number of international students who studied in Australia.
Answer: ____ thousand [1]
The number of international students who studied in Japan was more than the number of international students who studied in Spain.
(c) How many more?
Answer: ____ thousand [1]
In 2019, the number of international students who studied in France was 340 thousand.
(d) Draw a bar on the bar chart to show this information. [1]

Question 3
(a) 
[Diagram or table: see page 5 of the paper]
Write down the mathematical name of the angle marked x
Answer: ____ [1]
[Diagram or table: see page 5 of the paper]
P is a point on a circle with centre O
(b) Write down the mathematical name of the line OP
Answer: ____ [1]
Here is a polygon.
(c) Write down the mathematical name of this polygon.
Answer: ____ [1]
Here is a solid prism.
(d) Write down the number of edges of this solid prism.
Answer: ____ [1]

Question 4
The diagram shows three points, A, B and C, marked on a grid.
[Diagram or table: see page 6 of the paper]
(a) Write down the coordinates of point A
Answer: ( ____ , ____ ) [1]
(b) Write down the coordinates of point B
Answer: ( ____ , ____ ) [1]
M is the midpoint of the line AC
(c) On the grid, mark with a cross (×) the point M Label the point M [1]
The point D is such that the shape ABCD is a kite.
(d) On the grid, mark with a cross (×) the point D Label the point D [1]
(e) How many lines of symmetry has kite ABCD?
Answer: ____ [1]

Question 5
Here is a shape made of squares.
(a) Shade 2/3 of the shape. [1]
(b) Write 3/10 as a percentage.
Answer: ____ % [1]
(c) Write 48/150 as a fraction in its simplest form.
Answer: ____ [1]
(d) Write 46/7 as a mixed number.
Answer: ____ [1]

Question 6
Akbar goes to a restaurant with his friends. They have a total of 1000 dirhams to spend on food.
They order
2 dishes of chicken makhani at 145.50 dirhams each 3 dishes of vegetable korma at 110 dirhams each some naans at 30 dirhams each
They order as many naans as they can.
They pay with a 1000 dirham note.
Work out how much change they should receive.
Answer: ____ dirhams [4]

Question 7
(a) Simplify 9d × 5c
Answer: ____ [1]
(b) Simplify 7p + 5n – 9p + 3n
Answer: ____ [2]
T = 8e − 6f
(c) Work out the value of T when e = 9 and f = 5
Answer: T = ____ [2]
(d) Solve 5m − 6 = 17
Answer: m = ____ [2]

Question 8
There are four teams in a cricket competition.
The teams are
[Diagram or table: see page 10 of the paper]
Each team will play every other team once.
Write down all the matches that will take place.
Answer: ____ [2]

Question 9
The diagram shows two triangles ABE and ECD
[Diagram or table: see page 11 of the paper]
Triangle ABE is isosceles with AE = EB AED and EBC are straight lines.
Angle CDE = 42° The reflex angle ECD = 296° Angle BAE = x°
Work out the value of x
Answer: x = ____ [4]

Question 10
The table gives information about the number of rewards gained by each of 50 students last term.
[Diagram or table: see page 12 of the paper]
(a) Write down the mode of the number of rewards.
Answer: ____ [1]
(b) Work out the mean number of rewards.
Answer: ____ [3]
One of these students is chosen at random.
(c) Find the probability that this student gained more than 2 rewards.
Answer: ____ [2]

Question 11
A rental company has 360 cars and some vans.
The ratio of the number of cars to the number of vans is 3 : 5
4/9 of the cars are electric.
36% of the vans are electric.
The company has more electric vans than electric cars.
Work out how many more. Show your working clearly.
Answer: ____ [5]

Question 12
On the grid below, draw the graph of y = 5 − 3x for values of x from − 2 to 3
[Diagram or table: see page 14 of the paper]
[3]

Question 13
A wheel on a tractor has a diameter of 160 cm.
The tractor travels 1750 metres.
Work out the number of complete turns made by the wheel. Show your working clearly.
Answer: ____ [4]

Question 14
Here is an accurate scale drawing showing the positions of a hotel and a museum.
N
[Diagram or table: see page 16 of the paper]
Scale: 1 cm represents 4.5 km
(a) Find, by measuring, the bearing of the hotel from the museum.
Answer: ____ ° [1]
(b) Work out the real distance between the hotel and the museum.
Answer: ____ km [2]

Question 15
Here is a Venn diagram.
[Diagram or table: see page 17 of the paper]
List the members of the set
(a) A
Answer: ____ [1]
(b) A ∩ B
Answer: ____ [1]

(c) 
Answer: ____ [1]

Question 16
(a) Factorise fully 12 pq −18 p
Answer: ____ [2]
There are 56 metal bars in a box. Each metal bar is gold or silver or zinc.
y metal bars are gold. (3y + 7) metal bars are silver. (2y − 5) metal bars are zinc.
(b) Work out the number of metal bars that are zinc. Show clear algebraic working.
Answer: ____ [4]

Question 17
Joshua buys a car for $12 500
He sells the car to Nina.
Nina pays
• a deposit of $1500 • followed by 36 monthly payments of $450
Work out Joshua’s percentage profit.
Answer: ____ % [4]

Question 18
A biased spinner has three sections each of a different colour.
The table shows the probability that, when the spinner is spun once, it will land on blue or on orange or on white.
[Diagram or table: see page 20 of the paper]
(a) Work out the value of x
Answer: x = ____ [2]
The spinner is spun 250 times.
(b) Work out an estimate for the number of times the spinner will land on blue.
Answer: ____ [2]

Question 19
The diagram shows a shaded shape made from three identical semicircles, X, Y and Z
[Diagram or table: see page 21 of the paper]
ABCDE is a straight line.
AC is the diameter of semicircle X and B is the centre of semicircle X BD is the diameter of semicircle Y and C is the centre of semicircle Y CE is the diameter of semicircle Z and D is the centre of semicircle Z
AC = BD = CE = 20 cm
Work out the perimeter of the shaded shape. Give your answer correct to the nearest whole number.
Answer: ____ cm [3]

Question 20
Juan wants to buy a ticket to fly from Madrid to Berlin.
He finds two different types of ticket he can buy in a sale, ticket A and ticket B
[Diagram or table: see page 22 of the paper]
The sale price of ticket A is 140 euros. The sale price of ticket B is 136 euros.
Work out the difference between the normal price of ticket A and the normal price of ticket B
Answer: ____ euros [4]

Question 21
A  5^3  7^3 11^6 and B  5^6  7^2 11^4
Find the highest common factor (HCF) of A and B Give your answer as a product of powers of its prime factors.
Answer: ____ [2]

Question 22
(a) Solve the inequality 8x − 4  3x −10
Answer: ____ [2]
The region R, shown shaded in the diagram, is bounded by three straight lines.
[Diagram or table: see page 24 of the paper]
(b) Write down the three inequalities that define the region R
Answer: ____
Answer: ____
Answer: ____ [3]

Question 23
(a) Write 5. 87 10^^4 as an ordinary number.
Answer: ____ [1]
(b) Write 84 000 000 in standard form.
Answer: ____ [1]
The number of neurons in a human brain is 8.5×10^10 The number of neurons in a monkey brain is 1. 47 ×10^9
The number of neurons in a human brain is K × the number of neurons in a monkey brain.
(c) Work out the value of K Give your answer correct to one decimal place.
Answer: K = ____ [2]

Question 24
Here is triangle ABC
[Diagram or table: see page 26 of the paper]
Work out the value of x Give your answer correct to one decimal place. Show your working clearly.
Answer: x = ____ [5]