# 4MA1 Mathematics A Oct/Nov 2020 Paper 1H (Higher Tier Paper 1)

Pearson Edexcel International GCSE 4MA1 Mathematics A past paper 1H, Higher Tier Paper 1, Oct/Nov 2020. Open it online or download the question paper PDF free.

- Page: https://mathvsarham.com/past-papers/4ma1/2020-oct-nov-paper-1h/
- PDF: https://mathvsarham.com/papers/4ma1/4MA1_oct-nov_2020_paper_1H_qp.pdf
- Board: Edexcel
- Qualification: Pearson Edexcel International GCSE
- Subject: 4MA1 Mathematics A (https://mathvsarham.com/past-papers/4ma1/)
- Session: Oct/Nov 2020
- 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 numbers from 1 to 14 are shown in the Venn diagram.
[Diagram or table: see page 3 of the paper]
(a) List the members of the set A ∩ B
Answer: ____ [1]
(b) List the members of the set Bʹ
Answer: ____ [1]
A number is picked at random from the numbers in the Venn diagram.
(c) Find the probability that this number is in set A but is not in set B.
Answer: ____ [2]

Question 2
Toy cars are made in a factory. The toy cars are made for 15 hours each day. 5 toy cars are made every 12 seconds.
For the toy cars made each day, the probability of a toy car being faulty is 0.002
Work out an estimate of the number of faulty toy cars that are made each day.
Answer: ____ [4]

Question 3
On the grid, draw the graph of y = 7 – 4x for values of x from −2 to 3
[Diagram or table: see page 5 of the paper]
[3]

Question 4
Here is a list of six numbers written in order of size.
[Diagram or table: see page 6 of the paper]
a median of 9 a mean of 11
Find the value of x and the value of y.
Answer: x = ____
Answer: y = ____ [4]

Question 5
(a) Write 5.7 × 10^–3 as an ordinary number.
Answer: ____ [1]
(b) Write 800 000 in standard form.
Answer: ____ [1]
[Diagram or table: see page 7 of the paper]
(c) Work out 3 × 10/6 × 10_−_2
Answer: ____ [2]

Question 6
A rocket travelled 100 km at an average speed of 28 440 km/h.
Work out how long it took the rocket to travel the 100 km. Give your answer in seconds, correct to the nearest second.
Answer: ____ _seconds [3]

Question 7
(a) Solve 5(4 – x) = 7 – 3x Show clear algebraic working.
Answer: x = ____ [3]
(b) Factorise fully 16m^3 g^3+ 24m^2 g^5
Answer: ____ [2]
(c)(i) Factorise y^2– 2y – 48
Answer: ____ [2]
(ii) Hence, solve y^2– 2y – 48 = 0
Answer: ____ [1]

Question 8
Here is a 10-sided polygon.
[Diagram or table: see page 9 of the paper]
Work out the value of x.
Answer: x = ____ [4]

Question 9
In a sale, normal prices are reduced by 20%
A bag costs 1080 rupees in the sale.
Work out the normal price of the bag.
Answer: ____ _rupees [3]

Question 10
A = 2 × 3^43 B = 16 × 3^37
(a) Find the highest common factor (HCF) of A and B.
Answer: ____ [1]
(b) Express the number A × B as a product of powers of its prime factors. Give your answer in its simplest form.
Answer: ____ [2]

Question 11
The diagram shows trapezium ABCD in which BC and AD are parallel.
[Diagram or table: see page 12 of the paper]
The trapezium has exactly one line of symmetry.
BC = 8.4 cm AD = 17.6 cm
The trapezium has area 179.4 cm^2
Work out the size of angle ABC. Give your answer correct to 1 decimal place.
[Diagram or table: see page 12 of the paper]
Answer: ____ [6]

Question 12
Solve the simultaneous equations
[Diagram or table: see page 13 of the paper]
Show clear algebraic working.
Answer: x = ____
Answer: y = ____ [4]

Question 13
Jan invests $8000 in a savings account. The account pays compound interest at a rate of x % per year.
At the end of 6 years, there is a total of $8877.62 in the account.
Work out the value of x. Give your answer correct to 2 decimal places.
Answer: x = ____ [3]

Question 14
F is inversely proportional to the square of v.
Given that F = 6.5 when v = 4
find a formula for F in terms of v.
Answer: ____ [3]

Question 15
Harry has two fair 5-sided spinners.
[Diagram or table: see page 16 of the paper]
Harry is going to spin each spinner once.
(a) Complete the probability tree diagram.
[Diagram or table: see page 16 of the paper]
Answer: ____
[Diagram or table: see page 16 of the paper]
Answer: ____
[Diagram or table: see page 16 of the paper]
Answer: ____
[Diagram or table: see page 16 of the paper]
Answer: ____
[Diagram or table: see page 16 of the paper]
[2]
(b) Work out the probability that at least one of the spinners will land on green.
Answer: ____ [3]

Question 16
[Diagram or table: see page 18 of the paper]
L, M, N and P are points on a circle, centre O
Angle MNP = 58°
(a)(i) Find the size of angle MLP
Answer: ____
(ii) Give a reason for your answer.
Answer: ____ [2]
(b) Find the size of the reflex angle MOP
[Diagram or table: see page 18 of the paper]
Answer: ____ [2]

Question 17
A metal block has a mass of 5 kg, correct to the nearest 50 grams. The block has a volume of (1.84 × 10^–3) m^3, correct to 3 significant figures.
Work out the upper bound for the density of the block. Give your answer in kg/m^3 correct to 1 decimal place. Show your working clearly.
Answer: ____ _kg/m^3 [4]

Question 18
The table gives information about the heights, in centimetres, of some plants.
[Diagram or table: see page 20 of the paper]
(a) On the grid, draw a histogram for this information.
[Diagram or table: see page 20 of the paper]
[3]
(b) Work out an estimate for the number of these plants with a height greater than 40 cm.
Answer: ____ [2]

Question 19
Without using a calculator, rationalise the denominator of 6/3 −
Simplify your answer. You must show each stage of your working.
Answer: ____ [3]

Question 20
R and S are two similar solid shapes.
Shape R has surface area 108 cm^2 and volume 135 cm^3 Shape S has surface area 300 cm^2
Work out the volume of shape S.
Answer: ____ _cm^3 [3]

Question 21
Express
[Diagram or table: see page 23 of the paper]
as a single fraction in its simplest form.
Answer: ____ [5]

Question 22
ABCD is a rhombus.
The diagonals, AC and BD, intersect at the point M. The coordinates of M are (6, −11)
The points A and C both lie on the line with equation 2y + 7x = 20
Find the exact coordinates of the point where the line through B and D intersects the y-axis.
Answer: ( ____ , ____ ) [4]

Question 23
Curve C has equation y = px^3− mx where p and m are positive integers.
Find the range of values of x, in terms of p and m, for which the gradient of C is negative.
Answer: ____ [4]

Question 24
Here are the first five terms of an arithmetic sequence.
[Diagram or table: see page 26 of the paper]
Work out the sum of all the terms from the 50th term to the 100th term inclusive.
Answer: ____ [4]

Question 25
The curve with equation y = g(x) is transformed to the curve with equation y = −g(x) by the single transformation T.
(a) Describe fully the transformation T.
Answer: ____ [1]
The diagram shows the graph of y = f(x)
[Diagram or table: see page 27 of the paper]
(b) On the grid, draw the graph of y = 2f(x – 1) [2]