# 4MA1 Mathematics A Oct/Nov 2024 Paper 1H (Higher Tier Paper 1)

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

- Page: https://mathvsarham.com/past-papers/4ma1/2024-oct-nov-paper-1h/
- PDF: https://mathvsarham.com/papers/4ma1/4MA1_oct-nov_2024_paper_1H_qp.pdf
- Board: Edexcel
- Qualification: Pearson Edexcel International GCSE
- Subject: 4MA1 Mathematics A (https://mathvsarham.com/past-papers/4ma1/)
- Session: Oct/Nov 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
The table shows some information about the hourly rates of pay of 60 workers.
[Diagram or table: see page 3 of the paper]
10 < p  15 18
15 < p  20 16
20 < p  25 14
25 < p  30 8
30 < p  35 4
(a) Write down the modal class.
Answer: ____ [1]
(b) Work out an estimate for the mean hourly rate of pay of the 60 workers.
Answer: ____ dollars [4]

Question 2
Use ruler and compasses only to construct the bisector of angle ABC You must show all your construction lines.
[Diagram or table: see page 4 of the paper]
[2]

Question 3
(a) Simplify p^3
[Diagram or table: see page 5 of the paper]
Answer: ____ [1]
(b) Expand and simplify 2n4n  3  nn  4
Answer: ____ [2]
(c) Solve 2x  5/3  4  x
Show clear algebraic working.
Answer: x = ____ [3]

Question 4
Here is a Venn diagram.
[Diagram or table: see page 6 of the paper]
(a) List the members of the set B
Answer: ____ [1]
(b) List the members of the set A ∩ B
Answer: ____ [1]
(c) List the members of the set A′
Answer: ____ [1]

Question 5
The diagram shows a cylinder.
[Diagram or table: see page 7 of the paper]
The radius of the cylinder is 70 cm The height of the cylinder is 18 cm
Work out the volume of the cylinder. Give your answer in litres correct to the nearest litre.
Answer: ____ litres [4]

Question 6
A  2^3  5^4  7  11
B  2^2  5^2  7^2
C  2^2  5^3  7^4
Find the highest common factor (HCF) of A, B and C Write your answer as a product of prime factors.
Answer: ____ [2]

Question 7
Shop A and Shop B have offers for buying the same type of laptop.
The normal price of the laptop in Shop A is different to the normal price of the laptop in Shop B
[Diagram or table: see page 9 of the paper]
Which shop gives more money off their normal price? Show your working clearly. [4]

Question 8
(a)(i) Factorise x^2  5x  24
Answer: ____ [2]
(ii) Hence, solve x^2  5x  24  0
Answer: ____ [1]
(b) Solve the inequality 3y  5  7 y  10
Show clear algebraic working.
Answer: ____ [3]

Question 9
(a) Write 8.4  10 ^^5 as an ordinary number.
Answer: ____ [1]
(b) Work out 6.5  10^^40   8  10^185  Give your answer in standard form.
Answer: ____ [2]

Question 10
Here are two similar triangles.
[Diagram or table: see page 12 of the paper]
Work out the value of x Show your working clearly.
Answer: x = ____ [5]

Question 11
(a) Complete the table of values for y  2/ x  1 /x 
[Diagram or table: see page 13 of the paper]
[2]
(b) On the grid, draw the graph of y  2/ x  1 /x  for 0.5  x  6
[Diagram or table: see page 13 of the paper]
[2]

Question 12
ABC is a right-angled triangle. D is a point on BC
[Diagram or table: see page 14 of the paper]
Work out the length of DC Give your answer correct to the nearest integer.
Answer: ____ m [4]

Question 13
The probability that Thomas gets to work early on Saturday is 0.7
If Thomas gets to work early on Saturday, the probability that he will get to work early on Sunday is 0.9
If Thomas does not get to work early on Saturday, the probability that he will get to work early on Sunday is 0.6
(a) Use this information to complete the probability tree diagram.
[Diagram or table: see page 15 of the paper]
[2]
(b) Work out the probability that Thomas gets to work early on both Saturday and Sunday.
Answer: ____ [2]

Question 14
B is inversely proportional to the square of d
B = 0. 25 when d = 12
Find a formula for B in terms of d
Answer: ____ [3]

Question 15
Write 3x 2x  15x  4 in the form ax^3 + bx^2 + cx where a, b and c are integers.
Answer: ____ [3]

Question 16
OAPB is a sector of a circle, centre O
[Diagram or table: see page 17 of the paper]
Angle AOB  50
Area of triangle OAB = 120 cm^2
Work out the area of the sector OAPB Give your answer correct to 3 significant figures.
Answer: ____ cm^2 [4]

Question 17
(a) Express 675 in the form n 27 where n is a positive integer.
Answer: ____ [1]
[Diagram or table: see page 18 of the paper]
(b) Show that can be written in the form a + b 2 where a and b
are integers. [3]

Question 18
The histogram shows information about the times some students took to complete a puzzle.
5
4
3
[Diagram or table: see page 19 of the paper]
Work out an estimate for the fraction of these students who took between 20 minutes and 60 minutes to complete the puzzle.
Answer: ____ [4]

Question 19
An arithmetic series has first term a and common difference d
The sum of the first 30 terms of the arithmetic series is 4395
The sum of the 10th term and the 20th term is 284
Work out the sum of the first 45 terms of the arithmetic series. Show clear algebraic working.
Answer: ____ [5]

Question 20
The curve with equation y  2x^4  64x has a minimum point.
Find an equation of the tangent to the curve at the minimum point. Show clear algebraic working.
Answer: ____
[Diagram or table: see page 22 of the paper]
[4]

Question 21
T 
x = 28 .4 correct to 1 decimal place.
y = 17 correct to 2 significant figures.
w = 90 correct to the nearest 5
Calculate the upper bound for the value of T
Give your answer correct to 3 significant figures. Show your working clearly.
Answer: ____ [3]

Question 22
The diagram shows a bowl in the shape of a hemisphere. The bowl is made from metal.
[Diagram or table: see page 23 of the paper]
The outer radius of the bowl is 12 cm The inner radius of the bowl is 9 cm
The thickness of the bowl is uniform.
Work out the volume of the metal. Give your answer correct to the nearest whole number.
Answer: ____ cm^3 [3]

Question 23
The curve C has equation y  x^2  8x  9 The straight line L has equation y = k where k is an integer.
C and L intersect at the points A and B
The coordinates of point A are (p, k) The coordinates of point B are (q, k)
Given that p  q  14
find the value of k Show clear algebraic working.
Answer: k = ____ [5]

Question 24
OAB is a triangle.
[Diagram or table: see page 26 of the paper]
= 10a = 10b
ARQ and ORP are straight lines.
[Diagram or table: see page 26 of the paper]
Write the following vectors in terms of a and b Simplify your answers.
(i) 
Answer: ____ [1]
(ii) 
Answer: ____ [1]
(iii) 
Answer: ____ [4]

Question 25
The function f is such that f  x  2x^2  24x  7 where x  6
Find the inverse function f^^1  x
Answer: f^^1  x  ____ [4]