4MA1 Mathematics A: Oct/Nov 2024 Paper 1HHigher Tier Paper 1
4MA1/1H
Pearson Edexcel International GCSE Mathematics A, Oct/Nov 2024, Higher Tier Paper 1.
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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.
Sit this paper like the real exam
2 h · 100 marks
Questions
Rebuilt from the 4MA1/1H Oct/Nov 2024 paper so it reads well on any screen. Diagrams and tables are shown from the original.
- 1
The table shows some information about the hourly rates of pay of 60 workers.
Loading diagram…From 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.
[1]
(b)Work out an estimate for the mean hourly rate of pay of the 60 workers.
dollars[4]
- 2
Use ruler and compasses only to construct the bisector of angle ABC You must show all your construction lines.
Loading diagram…From page 4 of the paper. [2]
- 3
(a)Simplify p3
Loading diagram…From page 5 of the paper. [1]
(b)Expand and simplify 2n 4n 3 n n 4
[2]
(c)Solve 2x 53 4 x
Show clear algebraic working.
x = [3]
- 4
Here is a Venn diagram.
Loading diagram…From page 6 of the paper. (a)List the members of the set B
[1]
(b)List the members of the set A ∩ B
[1]
(c)List the members of the set A′
[1]
- 5
The diagram shows a cylinder.
Loading diagram…From 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.
litres[4]
- 6
A 23 54 7 11
B 22 52 72
C 22 53 74
Find the highest common factor (HCF) of A, B and C Write your answer as a product of prime factors.
[2]
- 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
Loading diagram…From page 9 of the paper. Which shop gives more money off their normal price? Show your working clearly.[4]
- 8
(a)(i)Factorise x2 5x 24
[2]
(ii)Hence, solve x2 5x 24 0
[1]
(b)Solve the inequality 3y 5 7 y 10
Show clear algebraic working.
[3]
- 9
(a)Write 8.4 10 5 as an ordinary number.
[1]
(b)Work out 6.5 10 40 8 10185 Give your answer in standard form.
[2]
- 10
Here are two similar triangles.
Loading diagram…From page 12 of the paper. Work out the value of x Show your working clearly.
x = [5]
- 11
(a)Complete the table of values for y 2 x 1 x
Loading diagram…From page 13 of the paper. [2]
(b)On the grid, draw the graph of y 2 x 1 x for 0.5 x 6
Loading diagram…From page 13 of the paper. [2]
- 12
ABC is a right-angled triangle. D is a point on BC
Loading diagram…From page 14 of the paper. Work out the length of DC Give your answer correct to the nearest integer.
m[4]
- 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.
Loading diagram…From page 15 of the paper. [2]
(b)Work out the probability that Thomas gets to work early on both Saturday and Sunday.
[2]
- 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
[3]
- 15
Write 3x 2x 1 5x 4 in the form ax3 + bx2 + cx where a, b and c are integers.
[3]
- 16
OAPB is a sector of a circle, centre O
Loading diagram…From page 17 of the paper. Angle AOB 50
Area of triangle OAB = 120 cm2
Work out the area of the sector OAPB Give your answer correct to 3 significant figures.
cm2[4]
- 17
(a)Express 675 in the form n 27 where n is a positive integer.
[1]
Loading diagram…From page 18 of the paper. (b)Show that can be written in the form a + b 2 where a and b
are integers.[3]
- 18
The histogram shows information about the times some students took to complete a puzzle.
5
4
3
Loading diagram…From 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.
[4]
- 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.
[5]
- 20
The curve with equation y 2x4 64x has a minimum point.
Find an equation of the tangent to the curve at the minimum point. Show clear algebraic working.
Loading diagram…From page 22 of the paper. [4]
- 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.
[3]
- 22
The diagram shows a bowl in the shape of a hemisphere. The bowl is made from metal.
Loading diagram…From 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.
cm3[3]
- 23
The curve C has equation y x2 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.
k = [5]
- 24
OAB is a triangle.
Loading diagram…From page 26 of the paper. = 10a = 10b
ARQ and ORP are straight lines.
Loading diagram…From page 26 of the paper. Write the following vectors in terms of a and b Simplify your answers.
(i)
[1]
(ii)
[1]
(iii)
[4]
- 25
The function f is such that f x 2x2 24x 7 where x 6
Find the inverse function f 1 x
f 1 x [4]