# 4MA1 Mathematics A Oct/Nov 2020 Paper 2H (Higher Tier Paper 2)

Pearson Edexcel International GCSE 4MA1 Mathematics A past paper 2H, Higher Tier Paper 2, Oct/Nov 2020. Open it online or download the question paper PDF free.

- Page: https://mathvsarham.com/past-papers/4ma1/2020-oct-nov-paper-2h/
- PDF: https://mathvsarham.com/papers/4ma1/4MA1_oct-nov_2020_paper_2H_qp.pdf
- Board: Edexcel
- Qualification: Pearson Edexcel International GCSE
- Subject: 4MA1 Mathematics A (https://mathvsarham.com/past-papers/4ma1/)
- Session: Oct/Nov 2020
- Paper: 2H (Higher Tier Paper 2)
- Component code: 4MA1/2H
- Time allowed: 120 minutes
- Total marks: 100
- Pages: 24

## Question paper text

Extracted automatically from the PDF; diagrams are missing and notation may be imperfect.

Question 1
(a) Simplify g^6 × g^4
Answer: ____ [1]
(b) Simplify k^10÷ k^3
Answer: ____ [1]
(c) Simplify (3cd^4)^2
Answer: ____ [2]
(d) Solve the inequality 4x + 7 > 2
Answer: ____ [2]

Question 2
The table shows information about the lengths of time, in minutes, 120 customers spent in a supermarket.
[Diagram or table: see page 4 of the paper]
(a) Write down the modal class.
Answer: ____ [1]
(b) Work out an estimate for the mean length of time spent by the 120 customers in the supermarket.
Answer: ____ minutes [4]

Question 3
[Diagram or table: see page 5 of the paper]
The diagram shows a parallelogram ABCD and an isosceles triangle DEF in which DE = DF
CDF and ADE are straight lines. Angle BCD = 58°
Work out the size of angle DEF. Give a reason for each stage of your working.
Answer: ____ ° [5]

Question 4
Andreas, Isla and Paulo share some money in the ratios 3 : 2 : 5
The total amount of money that Isla and Paulo receive is £76 more than the amount of money that Andreas receives.
Andreas buys a video game for £48.50 with some of his share of the money.
Work out how much money Andreas has left from his share of the money when he has bought the video game.
Answer: £ ____ [4]

Question 5
Himari’s annual salary is 3 130 000 Japanese Yen (JPY). She gets a salary increase of 4%
(a) Work out Himari’s salary after this increase.
Answer: ____ JPY [3]
Kaito bought a car. The value of the car when Kaito bought it was 750 000 JPY. At the end of each year, the value of his car had depreciated by 15%
(b) Work out the value of Kaito’s car at the end of 3 years. Give your answer correct to the nearest JPY.
Answer: ____ _JPY [3]

Question 6
The line L is shown on the grid.
[Diagram or table: see page 8 of the paper]
Find an equation for L.
Answer: ____ [2]

Question 7
The diagram shows a right-angled triangle.
[Diagram or table: see page 9 of the paper]
Calculate the value of x. Give your answer correct to one decimal place.
Answer: x = ____ [3]

Question 8
The diagram shows an isosceles triangle.
[Diagram or table: see page 10 of the paper]
Work out the area of the triangle.
Answer: ____ cm^2 [4]

Question 9
The diagram shows a solid cylinder with radius 3 m.
[Diagram or table: see page 11 of the paper]
The volume of the cylinder is 72π m^3
Calculate the total surface area of the cylinder. Give your answer correct to 3 significant figures.
Answer: ____ m^2 [5]

Question 10
The table shows information about the number of minutes each of 120 buses was late last Monday.
Number of minutes late (L) Frequency
[Diagram or table: see page 12 of the paper]
(a) Complete the cumulative frequency table below.
[Diagram or table: see page 12 of the paper]
Number of minutes late (L)
[Diagram or table: see page 12 of the paper]
[1]
(b) On the grid, draw a cumulative frequency graph for your table.
[Diagram or table: see page 13 of the paper]
[2]
(c) Use your graph to find an estimate for the interquartile range.
Answer: ____ minutes [2]
(d) Use your graph to find an estimate for the number of buses that were more than 48 minutes late last Monday.
Answer: ____ [2]

Question 11
(a) Simplify fully (8e^15)^2/3
Answer: ____ [2]
(b) Express  y / 2  in the form ay ^n where a and n are integers.
[Diagram or table: see page 14 of the paper]
Answer: ____ [2]
(c) Solve 4x − 2/3 − 5 − 3x/4 = 6
Show clear algebraic working.
Answer: x = ____ [4]
[Diagram or table: see page 15 of the paper]

Question 12
Given that_3_x = 81 9 find the value of x. Show clear algebraic working.
Answer: x = ____
[3]

Question 13
Use algebra to show that 0.681 = 15/22 [2]

Question 14
E = {integers x such that 10  x  25} A = {x : x < 18} B = {x : 13  x < 22}
(a) Write down n(A)
Answer: ____ [1]
(b) List the members of the set (A ∪ B)ʹ
Answer: ____ [2]
(c) List the members of the set Aʹ ∩ B
Answer: ____ [2]
C ⊂ A, C ⊂ B and n(C) = 5
(d) List the members of the set C
Answer: ____ [1]

Question 15
Make x the subject of y = 5 − 2x/x + 3
Answer: ____ [4]

Question 16
Solve the simultaneous equations
[Diagram or table: see page 18 of the paper]
Show clear algebraic working.
Answer: ____ [5]

Question 17
The diagram shows a rectangle.
[Diagram or table: see page 19 of the paper]
The area of the rectangle is A cm^2
Given that A < 3x + 27 find the range of possible values for x.
Answer: ____ [5]

Question 18
The diagram shows cuboid ABCDEFGH.
[Diagram or table: see page 20 of the paper]
AB = 5 cm AH = 4 cm The size of the angle between CH and the plane ABCD is 35°
Calculate the volume of the cuboid. Give your answer correct to 3 significant figures.
Answer: ____ cm^3 [5]

Question 19
OAB is a triangle. → → OA = a OB = b
The point C lies on OA such that OC : CA = 1 : 2 The point D lies on OB such that OD : DB = 1 : 2
Using a vector method, prove that ABDC is a trapezium. [3]

Question 20
A bag contains X counters.
There are only red counters and blue counters in the bag.
There are 4 more blue counters than red counters in the bag.
Finty takes at random 2 counters from the bag.
The probability that Finty takes 2 blue counters from the bag is 3/8
Work out the value of X. Show clear algebraic working.
Answer: ____ [5]

Question 21
The function f is such that f(x) = 5 + 6x – x^2 for x  3
(a) Express 5 + 6x – x^2 in the form p – (x – q)^2 where p and q are constants.
Answer: ____ [2]
(b) Using your answer to part (a), find the range of values of x for which f^–1(x) is positive.
Answer: ____ [5]