4MA1 Mathematics A: Oct/Nov 2023 Paper 1FFoundation Tier Paper 1
4MA1/1F
Pearson Edexcel International GCSE Mathematics A, Oct/Nov 2023, Foundation Tier Paper 1.
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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.
Sit this paper like the real exam
2 h · 100 marks
Questions
Rebuilt from the 4MA1/1F Oct/Nov 2023 paper so it reads well on any screen. Diagrams and tables are shown from the original.
- 1
Here is a list of numbers.
Loading diagram…From page 3 of the paper. (a)From the numbers in the list, write down
(i)an even number
[1]
(ii)a cube number
[1]
Here are the temperatures, in °C, in Paris at midnight for one week.
Loading diagram…From page 3 of the paper. (b)Write down the lowest temperature.
°C[1]
(c)Find the square root of 441
[1]
Hassan says,
“the sum of two prime numbers is always even”
(d)Give an example to show that Hassan is not correct.
[1]
- 2
The bar chart shows information about the number of international students who studied in each of five countries in 2019
500
400
Loading diagram…From page 4 of the paper. (a)In which of these five countries did the greatest number of international students study?
[1]
(b)Write down the number of international students who studied in Australia.
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?
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]
- 3
(a)
Loading diagram…From page 5 of the paper. Write down the mathematical name of the angle marked x
[1]
Loading diagram…From 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
[1]
Here is a polygon.
(c)Write down the mathematical name of this polygon.
[1]
Here is a solid prism.
(d)Write down the number of edges of this solid prism.
[1]
- 4
The diagram shows three points, A, B and C, marked on a grid.
Loading diagram…From page 6 of the paper. (a)Write down the coordinates of point A
( , )[1]
(b)Write down the coordinates of point B
( , )[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?
[1]
- 5
Here is a shape made of squares.
(a)Shade 23 of the shape.[1]
(b)Write 310 as a percentage.
%[1]
(c)Write 48150 as a fraction in its simplest form.
[1]
(d)Write 467 as a mixed number.
[1]
- 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.
dirhams[4]
- 7
(a)Simplify 9d × 5c
[1]
(b)Simplify 7p + 5n – 9p + 3n
[2]
T = 8e − 6f
(c)Work out the value of T when e = 9 and f = 5
T = [2]
(d)Solve 5m − 6 = 17
m = [2]
- 8
There are four teams in a cricket competition.
The teams are
Loading diagram…From page 10 of the paper. Each team will play every other team once.
Write down all the matches that will take place.
[2]
- 9
The diagram shows two triangles ABE and ECD
Loading diagram…From 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
x = [4]
- 10
The table gives information about the number of rewards gained by each of 50 students last term.
Loading diagram…From page 12 of the paper. (a)Write down the mode of the number of rewards.
[1]
(b)Work out the mean number of rewards.
[3]
One of these students is chosen at random.
(c)Find the probability that this student gained more than 2 rewards.
[2]
- 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
49 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.
[5]
- 12
On the grid below, draw the graph of y = 5 − 3x for values of x from − 2 to 3
Loading diagram…From page 14 of the paper. [3]
- 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.
[4]
- 14
Here is an accurate scale drawing showing the positions of a hotel and a museum.
N
Loading diagram…From page 16 of the paper. Scale: 1 cm represents 4.5 km
(a)Find, by measuring, the bearing of the hotel from the museum.
°[1]
(b)Work out the real distance between the hotel and the museum.
km[2]
- 15
Here is a Venn diagram.
Loading diagram…From page 17 of the paper. List the members of the set
(a)A
[1]
(b)A ∩ B
[1]
(c)
[1]
- 16
(a)Factorise fully 12 pq −18 p
[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.
[4]
- 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.
%[4]
- 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.
Loading diagram…From page 20 of the paper. (a)Work out the value of x
x = [2]
The spinner is spun 250 times.
(b)Work out an estimate for the number of times the spinner will land on blue.
[2]
- 19
The diagram shows a shaded shape made from three identical semicircles, X, Y and Z
Loading diagram…From 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.
cm[3]
- 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
Loading diagram…From 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
euros[4]
- 21
A 53 73 116 and B 56 72 114
Find the highest common factor (HCF) of A and B Give your answer as a product of powers of its prime factors.
[2]
- 22
(a)Solve the inequality 8x − 4 3x −10
[2]
The region R, shown shaded in the diagram, is bounded by three straight lines.
Loading diagram…From page 24 of the paper. (b)Write down the three inequalities that define the region R
[3]
- 23
(a)Write 5. 87 10 4 as an ordinary number.
[1]
(b)Write 84 000 000 in standard form.
[1]
The number of neurons in a human brain is 8.5×1010 The number of neurons in a monkey brain is 1. 47 ×109
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.
K = [2]
- 24
Here is triangle ABC
Loading diagram…From page 26 of the paper. Work out the value of x Give your answer correct to one decimal place. Show your working clearly.
x = [5]