# 4MA1 Mathematics A May/June 2023 Paper 1H (Higher Tier Paper 1)

Pearson Edexcel International GCSE 4MA1 Mathematics A past paper 1H, Higher Tier Paper 1, May/June 2023. Open it online or download the question paper PDF free.

- Page: https://mathvsarham.com/past-papers/4ma1/2023-may-june-paper-1h/
- PDF: https://mathvsarham.com/papers/4ma1/4MA1_may-june_2023_paper_1H_qp.pdf
- Board: Edexcel
- Qualification: Pearson Edexcel International GCSE
- Subject: 4MA1 Mathematics A (https://mathvsarham.com/past-papers/4ma1/)
- Session: May/June 2023
- 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
Last season, the number of goals scored by Arjun, by Simon and by Kath for their football team were in the ratios 2 : 5 : 8
Simon scored 12 more goals than Arjun.
Work out the number of goals scored by Kath.
Answer: ____ [3]

Question 2
The table gives information about the number of minutes that Abby spent walking each day in September.
[Diagram or table: see page 4 of the paper]
120 < M  150
Work out an estimate for the total number of minutes that Abby spent walking in September.
Answer: ____ _minutes [3]

Question 3
Nanette buys 60 notebooks for a total cost of 780 dirhams.
Nanette sells 70% of the notebooks for 22 dirhams each. She sells the remaining notebooks for 19 dirhams each.
Work out Nanette’s percentage profit. Give your answer correct to 3 significant figures.
Answer: ____ % [4]

Question 4
The diagram shows a sketch of triangle A and triangle B on a coordinate grid.
[Diagram or table: see page 6 of the paper]
(a) Given that triangle A has been translated to give triangle B, work out the value of d, the value of e and the value of f
Answer: d = ____
Answer: e = ____
Answer: f = ____ [3]
The diagram shows shape P and shape Q drawn on a grid.
y 12
11
10
[Diagram or table: see page 7 of the paper]
(b) Describe fully the single transformation that maps shape P onto shape Q
Answer: ____ [3]
(c) On the grid above, rotate shape P 90° clockwise about (3, 5) Label your shape R [2]

Question 5
The diagram shows a shaded shape AEBCD made by removing triangle AEB from rectangle ABCD
[Diagram or table: see page 8 of the paper]
Work out the perimeter of the shaded shape.
Answer: ____ _cm [4]

Question 6
(a) Simplify (2c^4 d^7)^3
Answer: ____ [2]
(b) Find the value of 5y^0 where y > 0
Answer: ____ [1]
(c) Factorise fully 16a^2 b^3+ 20a^3 b
Answer: ____ [2]
(d)(i) Factorise x^2+ 9x – 22
Answer: ____ [2]
(ii) Hence solve x^2+ 9x – 22 = 0
Answer: ____ [1]

Question 7
[Diagram or table: see page 10 of the paper]
The region R, shown shaded in the diagram, is bounded by three straight lines.
Find the inequalities that define R
Answer: ____ [4]

Question 8
(a) Write 300 as a product of its prime factors. Show your working clearly.
Answer: ____ [2]
A = 2 × 2 × 2 × 3 × 3 × 5
B = 2 × 2 × 3 × 3 × 3 × 5
(b) Find the lowest common multiple (LCM) of 5A and 7B Show your working clearly.
Answer: ____ [2]

Question 9
Solve the simultaneous equations
[Diagram or table: see page 12 of the paper]
Show clear algebraic working.
Answer: x = ____
Answer: y = ____ [3]

Question 10
Here are the test marks of 15 students.
[Diagram or table: see page 12 of the paper]
Find the interquartile range of these marks.
Answer: ____ [2]

Question 11
The curve C has equation y = 4x^3+ x^2– 20x
(a) Find dy/dx
Answer: dy/dx = ____ [2]
(b) Find the x coordinates of the points on C where the gradient is 4 Show clear algebraic working.
Answer: ____ [4]

Question 12
The cumulative frequency graph shows information about the heights, in centimetres, of 50 plants in a flowerbed.
[Diagram or table: see page 14 of the paper]
(a) Use the graph to find an estimate for the median height of these plants.
Answer: ____ _centimetres [1]
(b) Use the graph to find the frequency for the class interval 30 < Height  40
Answer: ____ [1]
(c) Use the graph to find an estimate for the number of plants with a height greater than 35 centimetres.
Answer: ____ [2]

Question 13
A is the point with coordinates (–5, 12)
B is the point with coordinates (19, –48)
Find an equation of the straight line that passes through the points A and B
Answer: ____ [3]

Question 14
Factorise fully 50g^2– 18
Answer: ____
8^3_n [3]

Question 15
(a) 2   2 16^3/2
Work out the value of n Show your working clearly.
Answer: n = ____ [3]
(b) Find 4% of 4.5 × 10^157 Give your answer in standard form.
Answer: ____ [3]

Question 16
The Venn diagram shows a universal set ℰ and sets A, B and C
The numbers and the letter x represent numbers of elements.
[Diagram or table: see page 17 of the paper]
Given that n(A ∪ B) = 42
(a) find the value of x
Answer: x = ____ [1]
(b) Find n(Aʹ)
Answer: ____ [1]
(c) Find n(Bʹ ∩ C )
Answer: ____ [1]

Question 17
The functions g and h are such that
[Diagram or table: see page 18 of the paper]
(a) What value of x must be excluded from any domain of g?
Answer: ____ [1]
(b) Solve gh(x) = 1
Answer: ____ [3]

Question 18
The incomplete table and incomplete histogram give information about the times, in minutes, that 140 people waited at a station for a train.
[Diagram or table: see page 19 of the paper]
0 < t  5
5 < t  15
[Diagram or table: see page 19 of the paper]
Complete the table and the histogram. [4]

Question 19
[Diagram or table: see page 20 of the paper]
OMA, ONB, MPB and NPA are straight lines.
M is the midpoint of OA
ON : NB = 1 : 5
OM = a ON = b
(a) Find in terms of a and b the vector AN
Answer: ____ [1]
(b) Use a vector method to find the ratio AP : PN
Answer: AP : PN = ____ [4]

Question 20
The sum of the first 80 terms of an arithmetic series, S, is 470
The 75th term of S is 14.5
The sum of the first X terms of S is 171
Work out the value of X Show your working clearly.
Answer: X = ____ [6]

Question 21
A curve has equation y = f(x)
There is only one turning point on the curve. The coordinates of this turning point are (6, 5)
Write down the coordinates of the turning point on the curve with equation
(a) y = f(x – 4)
Answer: ( ____ , ____ ) [1]
(b) y = f(3x)
Answer: ( ____ , ____ ) [1]

Question 22
The diagram shows two circles with centre O and a regular pentagon ABCDE
[Diagram or table: see page 24 of the paper]
A, B, C, D and E are points on the larger circle. The pentagon has sides of length 8 cm.
The diagram is shaded such that
[Diagram or table: see page 24 of the paper]
Work out the radius of the smaller circle. Give your answer correct to 3 significant figures.
Answer: ____ _cm [6]

Question 23
A frustum is made by removing a small square-based pyramid from a similar large squared-based pyramid as shown in the diagram.
[Diagram or table: see page 26 of the paper]
The height of the small pyramid is 15 cm. The height of the large pyramid is 45 cm. The square base of the large pyramid has side length 39 cm.
Work out the total surface area of the frustum. Give your answer correct to the nearest whole number.
Answer: ____ _cm^2 [5]