# 4MA1 Mathematics A May/June 2024 Paper 1H (Higher Tier Paper 1)

Pearson Edexcel International GCSE 4MA1 Mathematics A past paper 1H, Higher Tier Paper 1, May/June 2024. Open it online or download the question paper PDF free.

- Page: https://mathvsarham.com/past-papers/4ma1/2024-may-june-paper-1h/
- PDF: https://mathvsarham.com/papers/4ma1/4MA1_may-june_2024_paper_1H_qp.pdf
- Board: Edexcel
- Qualification: Pearson Edexcel International GCSE
- Subject: 4MA1 Mathematics A (https://mathvsarham.com/past-papers/4ma1/)
- Session: May/June 2024
- Paper: 1H (Higher Tier Paper 1)
- Component code: 4MA1/1H
- 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 are the first four terms of an arithmetic sequence.
[Diagram or table: see page 3 of the paper]
(a) Find an expression, in terms of n, for the nth term of this sequence.
Answer: ____ [2]
The nth term of a different arithmetic sequence is 5n + 17
(b) Find the 12th term of this sequence.
Answer: ____ [1]

Question 2
450 students were asked how they travelled to school on Monday. Each student walked or travelled by bus or travelled by car or travelled by bicycle. Each student used just one method of travel.
One of these students is chosen at random. The table shows information about the probability of each method of travel.
[Diagram or table: see page 4 of the paper]
Work out how many of the 450 students travelled by car.
Answer: ____ [4]

Question 3
Find the highest common factor (HCF) of 72 and 108 Show your working clearly.
Answer: ____ [2]

Question 4
Ava records the number of kilometres she drives each month.
In April, Ava drove 943 kilometres. This is 15% more than the number of kilometres she drove in March.
Work out the number of kilometres Ava drove in March.
Answer: ____ _kilometres [3]

Question 5
In the diagram, ABCDE is a regular pentagon.
[Diagram or table: see page 6 of the paper]
Angle AEF = 96°
Work out the size of the obtuse angle FED Show your working clearly.
[Diagram or table: see page 6 of the paper]
Answer: ____ [4]

Question 6
(a) Expand and simplify (m + 5)(m – 8)
Answer: ____ [2]
(b) Solve 3n – 4 = 5n + 6/3
Show clear algebraic working.
Answer: n = ____ [3]

Question 7
ℰ = {23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34} A = {even numbers} B = {23, 29, 31} C = {multiples of 3}
(a) List the members of the set
(i) B ∪ C
Answer: ____ [1]
(ii) A′ ∩ C
Answer: ____ [1]
(b) Is it true that B ∩ C = ∅ ?
Tick ( ) one of the boxes below.  Yes No
Give a reason for your answer.
Answer: ____ [1]
The set D has 4 members and is such that D ∩ (A ∪ C) = ∅
(c) List the members of set D
Answer: ____ [2]

Question 8
A cylinder is placed on a table.
[Diagram or table: see page 9 of the paper]
The volume of the cylinder is 1575 cm^3 The force exerted by the cylinder on the table is 84 newtons.
[Diagram or table: see page 9 of the paper]
Work out the pressure on the table due to the cylinder.
Answer: ____ _newtons/cm^2 [3]

Question 9
The table gives the amount of rice produced by each of two countries in 2020
Country Amount of rice (tonnes)
[Diagram or table: see page 10 of the paper]
(a) Write 3.5 × 10^7 as an ordinary number.
Answer: ____ [1]
In 2020, Japan produced 6 780 000 more tonnes of rice than Argentina.
(b) Work out the amount of rice Japan produced in 2020 Give your answer in standard form.
Answer: ____ _tonnes [2]

Question 10
(a) Simplify (2p)^0 where p > 0
Answer: ____ [1]
y^9 × y^–3= y^n
(b) Find the value of n
Answer: n = ____ [1]
(c) Simplify fully (5a^4 c^2)^3
Answer: ____ [2]

Question 11
The diagram shows a roof support.
[Diagram or table: see page 12 of the paper]
The roof support is made from four lengths of wood, AB, AC, BC and MC
AC = BC = 9 m AB = 12 m
angle AMC = 90°
Lewis is going to buy lengths of wood to make the roof support.
The wood costs 21.50 euros per metre. Each length of wood he buys has to be a whole number of metres.
Work out the total cost of the wood Lewis needs to buy. Show your working clearly.
Answer: ____ _euros [4]

Question 12
(a) Factorise fully 6y^2– 5y – 4
Answer: ____ [2]
(b) Express 2x  1/4x  7  5x/3x as a single fraction in its simplest form.
Answer: ____ [3]

Question 13
Harman has two bags of beads.
In bag A, there are 3 white beads and 7 black beads. In bag B, there are 5 white beads and 4 black beads.
Harman takes at random a bead from bag A and a bead from bag B
(a) Complete the probability tree diagram.
[Diagram or table: see page 14 of the paper]
Answer: ____
Answer: ____
Answer: ____
[Diagram or table: see page 14 of the paper]
Answer: ____
Answer: ____
[Diagram or table: see page 14 of the paper]
Answer: ____ [2]
(b) Work out the probability that Harman takes two beads of the same colour.
Answer: ____ [3]

Question 14
The combined savings of Abel and Bahira are 15 435 dinars.
The savings of Bahira are 45% more than the savings of Abel.
The savings of Bahira are 3/2 times the savings of Chanda.
Work out the savings of Chanda.
Answer: ____ _dinars [5]

Question 15
The function f is defined as
[Diagram or table: see page 16 of the paper]
(a) State the value of x that cannot be included in any domain of the function f
Answer: ____ [1]
(b) Express the inverse function f^–1 in the form f^–1(x) = ...
Answer: f ^–1(x) = ____ [3]

Question 16
There are 20 sweets in a box.
15 of the sweets are red
[Diagram or table: see page 17 of the paper]
Fred takes at random 3 sweets from the box.
Work out the probability that Fred takes at least one sweet of each colour from the box.
Answer: ____ [4]

Question 17
Show that 1 /3  5/5 can be written in the form a + b where a and b are integers.
Show each stage of your working clearly. [3]

Question 18
A curve C has equation y = x^3 ‒ 40x + 1
Find the coordinates of both the points on C at which the gradient is 8
Answer: ( ____ , ____ )
Answer: ( ____ , ____ ) [5]

Question 19
Here is quadrilateral ABCD
B
[Diagram or table: see page 20 of the paper]
Work out the value of x Give your answer correct to 3 significant figures.
Answer: x = ____ [5]

Question 20
The diagram shows a sector OABC of a circle centre O
A
[Diagram or table: see page 21 of the paper]
Angle AOC = 60°
The area of the shaded segment ABC is 38 cm^2
Work out the perimeter of the shaded segment ABC Give your answer correct to one decimal place.
Answer: ____ _cm [4]

Question 21
A curve has equation y = f (x)
There is one minimum point on this curve. The coordinates of this minimum point are (5, ‒4)
Write down the coordinates of the minimum point on the curve with equation
(i) y = f (x + 7)
Answer: ( ____ , ____ ) [1]
(ii) y = f (x) ‒ 6
Answer: ( ____ , ____ ) [1]

Question 22
The incomplete histogram shows some information about the distances, in kilometres, that 100 adults ran last week.
[Diagram or table: see page 23 of the paper]
All of the adults ran at least 5 kilometres. None of the adults ran more than 55 kilometres. 14 adults ran between 15 kilometres and 20 kilometres.
Complete the histogram. [3]

Question 23
A solid shape is made by removing a hemisphere, shown shaded, from a cone as shown in the diagram.
[Diagram or table: see page 24 of the paper]
The radius of the hemisphere is 2x cm The radius of the base of the cone is 5x cm The vertical height of the cone is 6x cm
The volume of the solid shape is 6948π cm^3
Work out the total surface area of the solid hemisphere that has been removed from the cone. Give your answer correct to the nearest integer.
Answer: ____ cm^2 [5]

Question 24
A polygon has n sides, where n > 5
The interior angles of the polygon form an arithmetic sequence.
The smallest angle of the polygon is 84° The common difference of the sequence is 4°
Work out the sum of the interior angles of the polygon. Show clear algebraic working.
[Diagram or table: see page 27 of the paper]
Answer: ____ [6]

Question 25
f (x) = 17 − 3x^2+ 12x
Write f (x) in the form a – b(x − c)^2 where a, b and c are constants.
Answer: f (x) = ____ [4]