# 4MA1 Mathematics A January 2021 Paper 2H (Higher Tier Paper 2)

Pearson Edexcel International GCSE 4MA1 Mathematics A past paper 2H, Higher Tier Paper 2, January 2021. Open it online or download the question paper PDF free.

- Page: https://mathvsarham.com/past-papers/4ma1/2021-january-paper-2h/
- PDF: https://mathvsarham.com/papers/4ma1/4MA1_january_2021_paper_2H_qp.pdf
- Board: Edexcel
- Qualification: Pearson Edexcel International GCSE
- Subject: 4MA1 Mathematics A (https://mathvsarham.com/past-papers/4ma1/)
- Session: January 2021
- Paper: 2H (Higher Tier Paper 2)
- Component code: 4MA1/2H
- 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
A train takes 6 hours 39 minutes to travel from New Delhi to Kanpur. The train travels a distance of 429 km.
Work out the average speed of the train. Give your answer in km/h correct to one decimal place.
Answer: ____ km/h [3]

Question 2
Ava writes down five whole numbers.
For these five numbers
the median is 7
the mode is 8
the range is 5
Find a possible value for each of the five numbers that Ava writes down.
Answer: ____ [3]

Question 3
Gladys buys a table for $465 to sell in her shop.
She sells the table for $520
(a) Work out the percentage profit that Gladys makes from the sale of the table. Give your answer correct to 3 significant figures.
Answer: ____ % [3]
Gladys has a sale in her shop.
She decreases all the normal prices by 12% The normal price of an armchair was $550
(b) Work out the sale price of the armchair.
Answer: $ ____ [3]

Question 4
[Diagram or table: see page 6 of the paper]
(a) On the grid, draw and label the straight line with equation
(i) x = 1.5
(ii) y = x
(iii) x + y = 6 [3]
(b) Show, by shading on the grid, the region that satisfies all three of the inequalities
[Diagram or table: see page 6 of the paper]
Label the region R. [1]

Question 5
(a) Expand and simplify 4x(2x + 5) – 3x(2x – 3)
Answer: ____ [2]
Given that × y/y_6 = y^13
(b) work out the value of n.
Answer: n = ____ [2]
(c)(i) Solve the inequality 7t – 8 < 2t + 7
Answer: ____ [2]
(ii) On the number line below, represent the solution set of the inequality solved in part (c)(i)
[Diagram or table: see page 7 of the paper]
[1]

Question 6
(a) Write down the value of y^0
Answer: ____ [1]
(b) Work out 9.6 × 10/3.2 × 10_16
Give your answer in standard form.
Answer: ____ [3]

Question 7
There are 5 cocoa pods in a bag. The mean weight of the 5 cocoa pods is 398 grams.
A sixth cocoa pod is put into the bag. The mean weight of the 6 cocoa pods is 401 grams.
Work out the weight of the sixth cocoa pod that is put into the bag.
Answer: ____ _grams [3]

Question 8
A, B and C are points on a circle with centre O.
[Diagram or table: see page 10 of the paper]
AOC is a diameter of the circle.
AB = 8 cm BC = 15 cm
Angle ABC = 90°
Work out the total area of the regions shown shaded in the diagram. Give your answer correct to 3 significant figures.
Answer: ____ cm^2 [5]

Question 9
[Diagram or table: see page 11 of the paper]
Find the lowest common multiple (LCM) of A and B. Give your answer as a product of powers of prime numbers.
Answer: ____ [2]

Question 10
The people working for a company work in Team A or in Team B.
number of people in Team A: number of people in Team B = 3 : 4
4/5 of Team A work full time.
24% of Team B work full time.
Work out what fraction of the people working for the company work full time. Give your fraction in its simplest form.
Answer: ____
[Diagram or table: see page 13 of the paper]
[3]

Question 11
Simplify fully /_6_10 /  18t w 
Answer: ____ [3]

Question 12
15 people were asked how long, in minutes, they had been waiting for a bus.
Here are the results.
[Diagram or table: see page 13 of the paper]
Find the interquartile range of these times.
Answer: ____ _minutes [2]

Question 13
P, Q, R, S and T are points on a circle with centre O.
[Diagram or table: see page 14 of the paper]
QOS is a diameter of the circle.
[Diagram or table: see page 14 of the paper]
(a) Find the value of
(i) m
Answer: ____
(ii) n
Answer: ____ [2]
(b) Find the size of angle QPO.
[Diagram or table: see page 14 of the paper]
Answer: ____ [1]

Question 14
(a) Solve 9a − 7/5 − 3a − 7/4 = 4.55
Show clear algebraic working.
Answer: a = ____ [3]
[Diagram or table: see page 15 of the paper]
(b) Make c the subject of the formula p =
[Diagram or table: see page 15 of the paper]
Answer: ____ [4]

Question 15
A postman records the weight of each parcel that he delivers.
The histogram shows information about the weights of all the parcels that the postman delivered last Monday. No parcels weighed more than 6 kg.
Frequency density
[Diagram or table: see page 16 of the paper]
63 of the parcels that the postman delivered last Monday each had a weight between 0.5 kg and 2 kg.
(a) Work out the total number of parcels the postman delivered last Monday.
Answer: ____ [3]
The postman picks at random two of the records of the parcels he delivered last Monday.
(b) Work out an estimate for the probability that each parcel weighed more than 2.25 kg.
Answer: ____ [3]

Question 16
Some students were asked the following question.
“Which of the subjects Russian (R), French (F) and German (G) do you study?”
Of these students
4 study all three of Russian, French and German 10 study Russian and French 13 study French and German 6 study Russian and German 24 study German 11 study none of the three subjects the number who study Russian only is twice the number who study French only.
Let x be the number of students who study French only.
(a) Show all this information on the Venn diagram, giving the number of students in each appropriate subset, in terms of x where necessary.
E
[Diagram or table: see page 17 of the paper]
[3]
Given that the number of students who were asked the question was 80
(b) work out the number of these students that study Russian.
Answer: ____ [3]

Question 17
The diagram shows a solid prism ABCDEFGH.
[Diagram or table: see page 18 of the paper]
The trapezium ABCD, in which AD is parallel to BC, is a cross section of the prism. The base ADEH of the prism is a horizontal plane. ADEH and BCFG are rectangles. The midpoint of BC is vertically above the midpoint of AD so that BA = CD.
[Diagram or table: see page 18 of the paper]
The perpendicular distance between edges AD and BC is 20 cm.
(a) Work out the total surface area of the prism.
Answer: ____ cm² [4]
(b) Calculate the size of the angle between AF and the plane ADEH. Give your answer correct to one decimal place.
[Diagram or table: see page 19 of the paper]
Answer: ____ [3]

Question 18
A rectangle ABCD is to be drawn on a centimetre grid such that
A has coordinates (–4, –2) B has coordinates (1, 10) C has coordinates (19, a) D has coordinates (b, c)
(a) Work out the value of a, the value of b and the value of c.
Answer: a = ____
Answer: b = ____
Answer: c = ____ [4]
(b) Calculate the perimeter, in centimetres, of rectangle ABCD.
Answer: ____ cm [3]

Question 19
A particle P is moving along a straight line. The fixed point O lies on this line.
At time t seconds where t  0, the displacement, s metres, of P from O is given by
[Diagram or table: see page 22 of the paper]
Find the displacement of P from O when P is instantaneously at rest.
Give your answer in the form a/b where a and b are integers.
Answer: ____ metres [5]

Question 20
[Diagram or table: see page 23 of the paper]
The diagram shows a shaded region T formed by removing an equilateral triangle PQR from a regular hexagon ABCDEF.
The points P and Q lie on AB such that AB = 1.5 × PQ
Given that the area of region T is 72 3 cm^2
work out the length of PQ.
Answer: ____ cm
[Diagram or table: see page 24 of the paper]
[4]

Question 21
Write 25x/5x_2 − 64/− 13x − 6 × − 8x + 15/5x + 8 − (x − 7)
as a single fraction in its simplest form. Show clear algebraic working.
Answer: ____ [4]

Question 22
The diagram shows a sector OBC of a circle with centre O and radius (6 + x) cm.
[Diagram or table: see page 26 of the paper]
A is the point on OB and D is the point on OC such that OA = OD = 6 cm
Angle BOC = 50°
Given that
the perimeter of sector OBC = 2 × the perimeter of triangle OAD
find the value of x. Give your answer correct to 3 significant figures.
Answer: x = ____ [6]