4MA1 Mathematics A: Oct/Nov 2020 Paper 2HHigher Tier Paper 2
4MA1/2H
Pearson Edexcel International GCSE Mathematics A, Oct/Nov 2020, Higher Tier Paper 2.
The paper could not be shown here. Use Download PDF or open it in a new tab instead.
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.
Sit this paper like the real exam
2 h · 100 marks
Questions
Rebuilt from the 4MA1/2H Oct/Nov 2020 paper so it reads well on any screen. Diagrams and tables are shown from the original.
- 1
(a)Simplify g6 × g4
[1]
(b)Simplify k10÷ k3
[1]
(c)Simplify (3cd4)2
[2]
(d)Solve the inequality 4x + 7 > 2
[2]
- 2
The table shows information about the lengths of time, in minutes, 120 customers spent in a supermarket.
Loading diagram…From page 4 of the paper. (a)Write down the modal class.
[1]
(b)Work out an estimate for the mean length of time spent by the 120 customers in the supermarket.
minutes[4]
- 3Loading diagram…
From 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.
°[5]
- 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.
£ [4]
- 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.
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.
JPY[3]
- 6
The line L is shown on the grid.
Loading diagram…From page 8 of the paper. Find an equation for L.
[2]
- 7
The diagram shows a right-angled triangle.
Loading diagram…From page 9 of the paper. Calculate the value of x. Give your answer correct to one decimal place.
x = [3]
- 8
The diagram shows an isosceles triangle.
Loading diagram…From page 10 of the paper. Work out the area of the triangle.
cm2[4]
- 9
The diagram shows a solid cylinder with radius 3 m.
Loading diagram…From page 11 of the paper. The volume of the cylinder is 72π m3
Calculate the total surface area of the cylinder. Give your answer correct to 3 significant figures.
m2[5]
- 10
The table shows information about the number of minutes each of 120 buses was late last Monday.
Number of minutes late (L) Frequency
Loading diagram…From page 12 of the paper. (a)Complete the cumulative frequency table below.
Loading diagram…From page 12 of the paper. Number of minutes late (L)
Loading diagram…From page 12 of the paper. [1]
(b)On the grid, draw a cumulative frequency graph for your table.
Loading diagram…From page 13 of the paper. [2]
(c)Use your graph to find an estimate for the interquartile range.
minutes[2]
(d)Use your graph to find an estimate for the number of buses that were more than 48 minutes late last Monday.
[2]
- 11
(a)Simplify fully (8e15)2/3
[2]
(b)Express y 2 in the form ay n where a and n are integers.
Loading diagram…From page 14 of the paper. [2]
(c)Solve 4x − 23 − 5 − 3x4 = 6
Show clear algebraic working.
x = [4]
Loading diagram…From page 15 of the paper. - 12
Given that3x = 81 9 find the value of x. Show clear algebraic working.
x =
[3]
- 13
Use algebra to show that 0.681 = 1522[2]
- 14
E = {integers x such that 10 x 25} A = {x : x < 18} B = {x : 13 x < 22}
(a)Write down n(A)
[1]
(b)List the members of the set (A ∪ B)ʹ
[2]
(c)List the members of the set Aʹ ∩ B
[2]
C ⊂ A, C ⊂ B and n(C) = 5
(d)List the members of the set C
[1]
- 15
Make x the subject of y = 5 − 2xx + 3
[4]
- 16
Solve the simultaneous equations
Loading diagram…From page 18 of the paper. Show clear algebraic working.
[5]
- 17
The diagram shows a rectangle.
Loading diagram…From page 19 of the paper. The area of the rectangle is A cm2
Given that A < 3x + 27 find the range of possible values for x.
[5]
- 18
The diagram shows cuboid ABCDEFGH.
Loading diagram…From 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.
cm3[5]
- 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]
- 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 38
Work out the value of X. Show clear algebraic working.
[5]
- 21
The function f is such that f(x) = 5 + 6x – x2 for x 3
(a)Express 5 + 6x – x2 in the form p – (x – q)2 where p and q are constants.
[2]
(b)Using your answer to part (a), find the range of values of x for which f–1(x) is positive.
[5]