# 4MA1 Mathematics A May/June 2022 Paper 2H (Higher Tier Paper 2)

Pearson Edexcel International GCSE 4MA1 Mathematics A past paper 2H, Higher Tier Paper 2, May/June 2022. Open it online or download the question paper PDF free.

- Page: https://mathvsarham.com/past-papers/4ma1/2022-may-june-paper-2h/
- PDF: https://mathvsarham.com/papers/4ma1/4MA1_may-june_2022_paper_2H_qp.pdf
- Board: Edexcel
- Qualification: Pearson Edexcel International GCSE
- Subject: 4MA1 Mathematics A (https://mathvsarham.com/past-papers/4ma1/)
- Session: May/June 2022
- Paper: 2H (Higher Tier Paper 2)
- Component code: 4MA1/2H
- Time allowed: 120 minutes
- Total marks: 100
- Pages: 24

## Question paper text

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

Question 1
Here are some integers where a < b < c < d
[Diagram or table: see page 3 of the paper]
The mode of the integers is 9 The median of the integers is 8 The range of the integers is 4
Work out the value of a, the value of b, the value of c and the value of d
Answer: a = ____
Answer: b = ____
Answer: c = ____
Answer: d = ____ [3]

Question 2
(a) On the grid, draw and label with its equation the straight line with equation
(i) y = 1 (ii) x = 2 (iii) x + y = 7
[Diagram or table: see page 4 of the paper]
[3]
(b) Show, by shading on the grid, the region that satisfies all three of the inequalities
[Diagram or table: see page 4 of the paper]
Label the region R. [1]

Question 3
An aeroplane travelled from New York City to Los Angeles.
The aeroplane travelled a distance of 3980 kilometres in 5 hours 24 minutes.
Work out the average speed of the aeroplane. Give your answer in kilometres per hour correct to the nearest whole number.
Answer: ____ _kilometres_per_hour [3]

Question 4
Show that 5 1/3 − 2 6/7 = 2 10/21 [3]

Question 5
The diagram shows an 8-sided shape ABCDEFGH.
[Diagram or table: see page 6 of the paper]
The height of the shape is 20 cm CD is parallel to HG
The area of shape ABCDEFGH is 434 cm^2
Find the length of CD.
Answer: ____ _cm [4]

Question 6
The diagram shows triangle PQR.
[Diagram or table: see page 7 of the paper]
Work out the value of x Give your answer correct to one decimal place.
Answer: x = ____ [3]

Question 7
Change a speed of 81 kilometres per hour to a speed in metres per second.
Answer: ____ _metres_per_second [3]

Question 8
Behnaz makes 300 celebration cards so that
[Diagram or table: see page 8 of the paper]
birthday cards anniversary cards congratulations cards
2/5 of the birthday cards have numbers on them.
36% of the anniversary cards have numbers on them. None of the congratulations cards have numbers on them.
Work out what fraction of the 300 cards have numbers on them. Give your answer in its simplest form.
Answer: ____ [5]

Question 9
Pasha invests 50 000 dollars in a savings account for 4 years. He gets 1.3% per year compound interest.
Work out how much money Pasha will have in his savings account at the end of 4 years. Give your answer correct to the nearest dollar.
Answer: ____ _dollars [3]

Question 10
Solve the simultaneous equations
[Diagram or table: see page 10 of the paper]
Show clear algebraic working.
Answer: x = ____
Answer: y = ____ [3]

Question 11
(i) Factorise x^2+ 5x − 24
Answer: ____ [2]
(ii) Hence, solve x^2+ 5x − 24 = 0
Answer: ____ [1]

Question 12
Larry is a delivery man.
He has 7 parcels to deliver. The mean weight of the 7 parcels is 2.7 kg
Larry delivers 3 of the parcels. Each of these 3 parcels has a weight of W kg
The mean weight of the other 4 parcels is 3.3 kg
Work out the value of W
Answer: W = ____ [3]

Question 13
The table gives information about the ages, in years, of 80 people in a train carriage.
[Diagram or table: see page 12 of the paper]
(a) Complete the cumulative frequency table.
[Diagram or table: see page 12 of the paper]
[1]
(b) On the grid opposite, draw a cumulative frequency graph for your table. [2]
(c) Use your graph to find an estimate for the median age of the 80 people.
Answer: ____ _years [1]
[Diagram or table: see page 13 of the paper]
Of the people in the train carriage, 60% of those who are aged between 18 and 65 are going to work. None of the other people in the train carriage are going to work.
(d) Use your graph to find an estimate for the number of people in the train carriage who are going to work.
Answer: ____ [3]

Question 14
(a) Expand and simplify (5 − x)(2x + 3)(x + 4) Show your working clearly.
Answer: ____ [3]
(b) Make c the subject of g = c + 3/4 + c − 7
Answer: ____ [4]

Question 15
(a) Solve 4x + 5/3 − 3 − 2x/2 = 13
Show clear algebraic working.
Answer: x = ____ [4]
(b) Solve the inequality 2y^2 − 7y − 30  0 Show your working clearly.
Answer: ____ [3]

Question 16
100 farmers are asked if they have goats (G), sheep (S) or chickens (C) on their farms.
Of these farmers 31 have sheep 53 have chickens
11 have sheep and goats 17 have sheep and chickens 18 have goats and chickens 20 do not have any goats, sheep or chickens
(a) Using this information, complete the Venn diagram to show the number of farmers in each appropriate subset.
[Diagram or table: see page 16 of the paper]
[3]
(b) Find
(i) n(G)
Answer: ____ [1]
(ii) n([G ∪ S]ʹ)
Answer: ____ [1]
(iii) n(Gʹ ∩ C )
Answer: ____ [1]
One of the farmers who has chickens is chosen at random.
(c) Find the probability that this farmer also has goats.
Answer: ____ [2]

Question 17
M varies directly as the cube of h M = 4 when h = 0.5
Find the value of h when M = 500
Answer: ____
[Diagram or table: see page 18 of the paper]
[4]

Question 18
X =
a = 7.5 correct to 1 decimal place. b = 3.42 correct to 2 decimal places. f = 2 correct to the nearest whole number.
Work out the upper bound of the value of X Show your working clearly.
Answer: ____
14 7 [3]

Question 19
a = x =
[Diagram or table: see page 19 of the paper]
Express a in the form where p, q, r and s are integers.
Give your answer in its simplest form.
Answer: a = ____ [3]

Question 20
The diagram shows four identical circles drawn inside a square.
[Diagram or table: see page 20 of the paper]
Each circle touches two other circles and two sides of the square.
The region inside the square that is outside the circles, shown shaded in the diagram, has a total area of 40 cm^2
Work out the perimeter of the square. Give your answer correct to 3 significant figures.
Answer: ____ _cm [4]

Question 21
[Diagram or table: see page 21 of the paper]
OAB is a triangle. Q is the point on AB such that OQP is a straight line.
[Diagram or table: see page 21 of the paper]
Using a vector method, find the ratio AQ : QB
Answer: AQ : QB = ____ [5]

Question 22
ABCD is a kite, with diagonals AC and BD, drawn on a centimetre square grid, with a scale of 1 cm for 1 unit on each axis.
A is the point with coordinates (−3, 4)
The diagonals of the kite intersect at the point M with coordinates (0, 2)
Given that AB = AD = 6.5 cm and the x coordinate of B is positive,
find the coordinates of the points B and D.
Answer: ( ____ , ____ )
Answer: ( ____ , ____ )
° [7]

Question 23
The diagram shows a sketch of the graph of y = cos  x/ 2
[Diagram or table: see page 23 of the paper]
y = cos  x/ 2
[Diagram or table: see page 23 of the paper]
(i) Find the coordinates of the point A
Answer: ( ____ , ____ ) [1]
(ii) Find the coordinates of the point B
Answer: ( ____ , ____ ) [1]
[Diagram or table: see page 24 of the paper]

Question 24
[Diagram or table: see page 24 of the paper]
Express x in terms of n Show your working clearly and simplify your expression.
Answer: x = ____ [3]