# 4MA1 Mathematics A May/June 2024 Paper 2HR (Higher Tier Paper 2)

Pearson Edexcel International GCSE 4MA1 Mathematics A past paper 2HR, Higher Tier Paper 2, May/June 2024. Open it online or download the question paper PDF free.

- Page: https://mathvsarham.com/past-papers/4ma1/2024-may-june-paper-2hr/
- PDF: https://mathvsarham.com/papers/4ma1/4MA1_may-june_2024_paper_2HR_qp.pdf
- Board: Edexcel
- Qualification: Pearson Edexcel International GCSE
- Subject: 4MA1 Mathematics A (https://mathvsarham.com/past-papers/4ma1/)
- Session: May/June 2024
- Paper: 2HR (Higher Tier Paper 2)
- Component code: 4MA1/2HR
- Time allowed: 120 minutes
- Total marks: 100
- Pages: 32

## Question paper text

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

Question 1
Write 1400 as a product of powers of its prime factors. Show your working clearly.
Answer: ____ [3]

Question 2
[Diagram or table: see page 4 of the paper]
(a) Describe fully the single transformation that maps shape A onto shape B
Answer: ____ [2]
(b) On the grid above, rotate shape A 180° about (−1, 0) Label your shape C [2]

Question 3
Here is a list of four numbers written in ascending order of size
[Diagram or table: see page 5 of the paper]
where x and y are integers.
The numbers have
a median of 12.5 a range of 4
Find the value of x and the value of y
Answer: x = ____
Answer: y = ____ [2]

Question 4
E = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} A = {factors of 6} B = {prime numbers}
(a) List the members of the set
(i) A ∪ B
Answer: ____ [1]
(ii) A′
Answer: ____ [1]
Harpreet states that A  B  
Harpreet is incorrect.
(b) Explain why.
Answer: ____ [1]
C is a set with 4 members such that
the set A ∩ C has 2 members the set B ∩ C has 2 members
Set A ∩ C and set B ∩ C have no members in common.
(c) List the 4 members of set C
Answer: ____ [2]

Question 5
The diagram shows the design for a badge, which will be made using wire. The design is a circle inside a square ABCD
[Diagram or table: see page 7 of the paper]
The circle touches the square at the points E, F, G and H
The area of the square is 81 cm^2
Calculate the total length of wire that will be needed to make the square and the circle. Give your answer correct to 3 significant figures.
Answer: ____ cm [4]

Question 6
(a) Solve 2 f/3  4 f  17
Show clear algebraic working.
Answer: f = ____ [3]
(b) Simplify (e + 12)^0 where e > 0
Answer: ____ [1]
(c) Simplify fully
[Diagram or table: see page 8 of the paper]
Answer: ____ [2]
(d) Factorise fully 20x^5 y + 12x^3 y^4
Answer: ____ [2]
3^^2  3^5_n

Question 7
Find the value of n
Answer: n = ____ [2]

Question 8
In a sale, all normal prices are reduced by 17%
The sale price of a fridge is 6225 rupees.
Work out the normal price of the fridge.
Answer: ____ rupees [3]

Question 9
(a) Write 6.04 × 10^5 as an ordinary number.
Answer: ____ [1]
(b) Write 0.000 07 in standard form.
Answer: ____ [1]
(c) Work out
Give your answer in standard form.
Answer: ____ [2]

Question 10
The diagram shows a hexagon ABCDEF
[Diagram or table: see page 11 of the paper]
Angle BCF = 30° AB, FC and ED are parallel.
Calculate the area of ABCDEF Show your working clearly.
Answer: ____ cm^2 [5]

Question 11
The cumulative frequency table gives information about the time, in hours, that each of 60 workers spent working from home in one week.
[Diagram or table: see page 12 of the paper]
(a) On the grid below, draw a cumulative frequency graph for the information in the table.
[Diagram or table: see page 12 of the paper]
[2]
(b) Use your graph to find an estimate for the interquartile range of the times.
Answer: ____ hours [2]
25 workers spent more than W hours working from home.
(c) Use your graph to find an estimate for the value of W
Answer: W = ____ [2]
One of the 60 workers is chosen at random. This worker spent H hours working from home.
(d) Find the probability that 5 < H „ 10
Answer: ____ [1]

Question 12
[Diagram or table: see page 14 of the paper]
In the diagram, ABC and AED are straight lines. BE is parallel to CD
[Diagram or table: see page 14 of the paper]
(a) Work out the length of ED
Answer: ____ cm [2]
AB = (2x + 5) cm and BC = (3x – 5) cm
(b) Work out the value of x
Answer: x = ____ [2]

Question 13
OAB is a sector of a circle with centre O and radius r cm.
[Diagram or table: see page 15 of the paper]
Angle AOB = 60° The perimeter of the sector is P cm.
Find a formula for P in terms of r Give your answer in the form P = r(cπ + k) where c and k are values to be found.
Answer: ____ [3]

Question 14
Adriana is going to roll a biased dice and spin a biased coin.
The probability that the coin will land on Heads is 0.8 The probability that the dice will land on 6 and the coin will land on Heads is 0.24
Work out the probability that the dice will land on 6 and the coin will land on Tails.
Answer: ____ [3]

Question 15
[Diagram or table: see page 17 of the paper]
AB, BC and CD are three sides of a regular pentagon and CDE is a triangle. BCE is a straight line.
[Diagram or table: see page 17 of the paper]
Work out the area of triangle CDE Give your answer correct to 3 significant figures.
Answer: ____ cm^2 [3]

Question 16
Here are six graphs.
[Diagram or table: see page 18 of the paper]
Write down the letter of the graph that could have the equation 1
(i) y   x
Answer: ____ [1]
(ii) y = sin x°
Answer: ____ [1]
x

Question 17
f(x)  g(x)  3x  1
Given that fg(k) = 2
work out the value of k
Answer: k = ____
[Diagram or table: see page 20 of the paper]
[3]

Question 18
Use algebra to show that 0.30. 30606 = 34/111 [2]

Question 19
Aviv goes on a cycle journey.
For the cycle journey
average speed = 19 km/h correct to the nearest whole number
[Diagram or table: see page 21 of the paper]
Work out the upper bound for the distance Aviv travels. Give your answer correct to 3 significant figures.
Answer: ____ km [3]

Question 20
Solve 6x^2  7x  20  0 Show clear algebraic working.
Answer: ____ [4]

Question 21
ABCD is a square.
The point A has coordinates (−5, 2) The point B has coordinates (3, 5)
Find an equation of the line that passes through B and C Give your answer in the form ax + by + c = 0 where a, b and c are integers.
Answer: ____ [4]

Question 22
Solve the simultaneous equations
Show clear algebraic working.
Answer: ____ [5]

Question 23
A curve has equation y = f(x) The coordinates of the minimum point on this curve are (6, −3)
Write down the coordinates of the minimum point on the curve with equation
(i) y  f(x)  10
Answer: ( ____ , ____ ) [1]
(ii) y = f(3x)
Answer: ( ____ , ____ ) [1]

Question 24
The diagram shows a solid, S, made from a cone and a hemisphere.
[Diagram or table: see page 26 of the paper]
The centre of the circular face of the cone coincides with the centre of the flat surface of the hemisphere.
The radius of the circular face of the cone, x cm, is equal to the radius of the hemisphere.
The total height of S is 4 × the radius of the hemisphere.
A separate sphere has radius kx cm. The volume of this sphere is 12.5 × the volume of S
(a) Work out the value of k
Answer: k = ____ [4]
A solid, T, is similar to solid S
The volume of T is 512 × the volume of S
The total surface area of T is d × the total surface area of S
(b) Find the value of d
Answer: d = ____ [1]

Question 25
OPQR is a parallelogram.
[Diagram or table: see page 28 of the paper]
OP = 2a and OR = 3b
The point M lies on PQ such that PM = 1/4 PQ
The point N lies on RQ such that RN = 4/5 RQ
(a) Find, in terms of a and b, giving your answers in simplest form
(i) ON
Answer: ____ [1]
(ii) MR
Answer: ____ [1]
MR and ON intersect at the point Y
Given that
[Diagram or table: see page 28 of the paper]
(b) use a vector method to find the value of k
Answer: k = ____ [4]
[Diagram or table: see page 30 of the paper]

Question 26
Write 4  /3x  5   x  10 / as a single fraction in its simplest form.
[Diagram or table: see page 30 of the paper]
Answer: ____ [4]