# 4MA1 Mathematics A May/June 2023 Paper 2H (Higher Tier Paper 2)

Pearson Edexcel International GCSE 4MA1 Mathematics A past paper 2H, Higher Tier Paper 2, May/June 2023. Open it online or download the question paper PDF free.

- Page: https://mathvsarham.com/past-papers/4ma1/2023-may-june-paper-2h/
- PDF: https://mathvsarham.com/papers/4ma1/4MA1_may-june_2023_paper_2H_qp.pdf
- Board: Edexcel
- Qualification: Pearson Edexcel International GCSE
- Subject: 4MA1 Mathematics A (https://mathvsarham.com/past-papers/4ma1/)
- Session: May/June 2023
- Paper: 2H (Higher Tier Paper 2)
- Component code: 4MA1/2H
- 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
Show that 4 2/3  11/5  3 8/9 [3]

Question 2
A biased spinner can land on green or on yellow or on brown or on pink.
The table gives the probabilities that, when the spinner is spun, it will land on green or on yellow or on brown.
[Diagram or table: see page 4 of the paper]
Timucin spins the spinner 200 times.
Work out an estimate for the number of times the spinner lands on pink.
Answer: ____ [3]

Question 3
ABCD is a trapezium.
[Diagram or table: see page 5 of the paper]
BC is parallel to AD
Find the size of the largest angle inside the trapezium.
[Diagram or table: see page 5 of the paper]
Answer: ____ [4]

Question 4
(a) Complete the table of values for y = x^2– x – 4
[Diagram or table: see page 6 of the paper]
[2]
(b) On the grid below, draw the graph of y = x^2– x – 4 for values of x from –3 to 3
[Diagram or table: see page 6 of the paper]
[2]

Question 5
Nancy has some coins with a total value of 85 pence. She has only 2 pence coins and 5 pence coins. The ratio
[Diagram or table: see page 7 of the paper]
Nancy has more 5 pence coins than 2 pence coins.
How many more?
Answer: ____ [4]

Question 6
(a) Write 76 000 000 in standard form.
Answer: ____ [1]
(b) Write 5.4 × 10 ^–4 as an ordinary number.
Answer: ____ [1]

Question 7
[Diagram or table: see page 8 of the paper]
A and C are points on a circle, centre O DA is the tangent to the circle at A and DC is the tangent to the circle at C
Angle ADC = 48°
Work out the size of reflex angle AOC
[Diagram or table: see page 8 of the paper]
Answer: ____ [3]

Question 8
Charlotte buys a painting for $680 The value of the painting increases by 4% each year.
Work out the value of the painting at the end of 3 years. Give your answer correct to the nearest $
Answer: $ ____ [3]

Question 9
Change a speed of 27 kilometres per hour to a speed in metres per second.
Answer: ____ _m / s [3]

Question 10
Team A and Team B take part in a quiz league.
After 11 rounds, Team A has a mean score per round of 17 After 9 rounds, Team B has a mean score per round of 18
Both teams take part in a further round. After this round, both teams have a mean score per round of 18.5
In the further round, Team A scored more points than Team B.
How many more?
Answer: ____ [4]

Question 11
Here is a 9-sided regular polygon ABCDEFGHJ, with centre O
[Diagram or table: see page 11 of the paper]
ODK and FEK are straight lines.
Work out the value of x
Answer: x = ____ [3]

Question 12
The diagram shows right-angled triangle ABD
[Diagram or table: see page 12 of the paper]
AB = 14 cm AD = 8 cm
C is the point on BD such that angle BAC = 38°
Work out the length of CD Give your answer correct to 3 significant figures.
Answer: ____ _cm [4]

Question 13
Narin has two fair 6-sided dice.
Dice A has 2 red faces and 4 yellow faces. Dice B has 1 red face and 5 yellow faces.
Narin is going to throw each dice once.
(a) Complete the probability tree diagram.
[Diagram or table: see page 13 of the paper]
Answer: ____
[Diagram or table: see page 13 of the paper]
Answer: ____
[Diagram or table: see page 13 of the paper]
Answer: ____
[Diagram or table: see page 13 of the paper]
Answer: ____
[Diagram or table: see page 13 of the paper]
[2]
(b) Work out the probability that both dice land on yellow.
Answer: ____ [2]

Question 14
[Diagram or table: see page 14 of the paper]
P, Q, R and S are points on a circle, centre O ROP is a diameter of the circle. Angle PRQ = 22°
(a)(i) Find the size of angle RQP
[Diagram or table: see page 14 of the paper]
Answer: ____ [1]
(ii) Give a reason for your answer.
Answer: ____ [1]
(b)(i) Find the size of angle PSQ
[Diagram or table: see page 14 of the paper]
Answer: ____ [1]
(ii) Give a reason for your answer.
Answer: ____ [1]

Question 15
(a) Simplify fully 32a^15 ^3/5
Answer: ____ [2]
(b) Express / 10x  in the form px^n where p and n are integers.
[Diagram or table: see page 15 of the paper]
Answer: ____ [2]
(c) Solve 1  2 y/3  4/5  2 y  1/2
Show clear algebraic working.
Answer: y = ____ [3]

Question 16
Q is directly proportional to t The graph shows the relationship between Q and t for 0 < t < 8
[Diagram or table: see page 16 of the paper]
(a) Find a formula for Q in terms of t
Answer: ____ [3]
Q is increased by 20%
(b) Find the percentage increase in t
Answer: ____ % [2]

Question 17
(a) Expand and simplify (x + 6)(3x – 2)(x + 6)
Answer: ____ [3]
(b) Make e the subject of w 
[Diagram or table: see page 17 of the paper]
Answer: ____ [4]

Question 18
Here are 6 graphs.
[Diagram or table: see page 18 of the paper]
Complete the table below with the letter of the graph that could represent each given equation.
Write your answers on the dotted lines.
[Diagram or table: see page 18 of the paper]
Answer: ____
[Diagram or table: see page 18 of the paper]
Answer: x ____
[Diagram or table: see page 18 of the paper]
Answer: ____ [3]

Question 19
Express 3x^2– 6x + 5 in the form a(x – b)^2+ c
Answer: ____ [3]

Question 20
There are 12 counters in a bag.
3 of the counters are red 9 of the counters are green
Ameya, Jack and Ella each take at random one counter from the bag.
Work out the probability that at least one red counter is still in the bag.
Answer: ____ [3]

Question 21
Solve the simultaneous equations
[Diagram or table: see page 21 of the paper]
x = 3y – 1
Show clear algebraic working.
Answer: ____ [5]

Question 22
The diagram shows a triangle ABC and a flagpole BF
[Diagram or table: see page 22 of the paper]
A, B and C are points on horizontal ground.
BF is vertical.
[Diagram or table: see page 22 of the paper]
D is the point on AC such that angle BDC = 90°
Work out the size of the angle of elevation of the point F from the point D Give your answer correct to one decimal place.
[Diagram or table: see page 23 of the paper]
Answer: ____ [5]

Question 23
The diagram shows a cuboid with a square cross section.
[Diagram or table: see page 24 of the paper]
The volume of the cuboid is (13 + 6 5 ) cm^3
Without using a calculator, find the value of x Give your answer in the form a + b where a and b are integers. Show your working clearly.
Answer: x = ____ [4]

Question 24
ABCD is a kite with AB = AD and CB = CD
A is the point with coordinates (–2, 10)
B is the point with coordinates /  27/5 , 4/
C is the point with coordinates (4, –5)
Work out the coordinates of D
Answer: ( ____ , ____ ) [6]

Question 25
A solid sphere has a radius of 2.8 centimetres, correct to 1 decimal place. The sphere has a mass of M π grams, where M = 260 correct to 2 significant figures.
Work out the upper bound for the density of the sphere. Give your answer in g / cm^3 correct to 2 decimal places. Show your working clearly.
Answer: ____ _g / cm^3 [4]