# 4MA1 Mathematics A May/June 2019 Paper 2H (Higher Tier Paper 2)

Pearson Edexcel International GCSE 4MA1 Mathematics A past paper 2H, Higher Tier Paper 2, May/June 2019. Open it online or download the question paper PDF free.

- Page: https://mathvsarham.com/past-papers/4ma1/2019-may-june-paper-2h/
- PDF: https://mathvsarham.com/papers/4ma1/4MA1_may-june_2019_paper_2H_qp.pdf
- Board: Edexcel
- Qualification: Pearson Edexcel International GCSE
- Subject: 4MA1 Mathematics A (https://mathvsarham.com/past-papers/4ma1/)
- Session: May/June 2019
- 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
The table shows information about the heights, in cm, of 48 sunflowers in a garden centre.
Height of sunflower (h cm) Frequency
[Diagram or table: see page 3 of the paper]
Work out an estimate for the mean height of the sunflowers.
Answer: ____ cm [4]

Question 2
Use ruler and compasses to construct the perpendicular bisector of the line DE. You must show all your construction lines.
[Diagram or table: see page 4 of the paper]
[2]

Question 3
E ={1, 2, 3, 4, 5, 6, 7, 8, 9, 10} A = {2, 3, 5, 7} B = {4, 6, 8, 10}
(a) Explain why A ˆ
B = ‡
Answer: ____ [1]
x E and x  A ‰ B
(b) Write down the two possible values of x.
Answer: ____ _, ____ [1]
Set C is such that
A ‰ B ‰ C =E A ˆ
C = {2} B ˆ
C
(c) List all the members of set C.
Answer: ____ [2]

Question 4
A cylinder has diameter 14 cm and height 20 cm.
Work out the volume of the cylinder. Give your answer correct to 3 significant figures.
Answer: ____ cm^3 [2]

Question 5
Josh buys and sells books for a living.
He buys 120 books for £4 each.
He sells 1/2 of the books for £5 each.
He sells 40% of the books for £7 each. He sells the rest of the books for £8 each.
(a) Calculate Josh’s percentage profit.
Answer: ____ % [5]
One book that Josh owns had a value of £15 on the 1st May 2019 The value of this book had increased by 20% in the last year.
(b) Find the value of the book on the 1st May 2018
Answer: £ ____ [3]

Question 6
ABC and DEF are similar triangles.
[Diagram or table: see page 8 of the paper]
(a) Work out the length of DF.
Answer: ____ cm [2]
(b) Work out the length of BC.
Answer: ____ cm [2]

Question 7
30 students in a class sat a Mathematics test. The mean mark in the test for the 30 students was 26.8
13 of the 30 students in the class are boys. The mean mark in the test for the boys was 25
Find the mean mark in the test for the girls. Give your answer correct to 3 significant figures.
Answer: ____ [3]

Question 8
Change a speed of x kilometres per hour into a speed in metres per second. Simplify your answer.
Answer: ____ m/s [3]

Question 9
Solve the simultaneous equations
[Diagram or table: see page 10 of the paper]
Show clear algebraic working.
Answer: x = ____
Answer: y = ____ [3]

Question 10
The straight line LKDVJUDGLHQWDQGSDVVHVWKURXJKWKHSRLQWZLWKFRRUGLQDWHV í
(a) Write down an equation for L.
Answer: ____ [2]
(b) 
[Diagram or table: see page 11 of the paper]
The region R, shown shaded in the diagram, is bounded by four straight lines.
Write down the inequalities that define R.
Answer: ____ [2]

Question 11
The table gives the average crowd attendance per match for each of five football clubs for one season.
Football club Average crowd attendance
[Diagram or table: see page 12 of the paper]
(a) Find the difference between the average crowd attendance for Barcelona and the average crowd attendance for Monaco. Give your answer in standard form.
Answer: ____ [2]
Antonio says,
[Diagram or table: see page 12 of the paper]
(b) Is Antonio correct? You must give a reason for your answer.
Answer: ____ [2]
During last season the cost of a ticket to watch Seapron United increased by 15% and then decreased by 8%
(c) Work out the overall percentage change in the cost of a ticket to watch Seapron United during last season.
Answer: ____ % [2]

Question 12
ABCD is a trapezium.
[Diagram or table: see page 13 of the paper]
Calculate the perimeter of the trapezium. Give your answer correct to 3 significant figures.
Answer: ____ cm [4]

Question 13
The table gives information about the times taken, in minutes, for 80 taxi journeys.
Time taken (t minutes) Frequency
[Diagram or table: see page 14 of the paper]
(a) Complete the cumulative frequency table.
Time taken (t minutes) Cumulative frequency
[Diagram or table: see page 14 of the paper]
[1]
(b) On the grid opposite, draw a cumulative frequency graph for your table.
[Diagram or table: see page 15 of the paper]
[2]
(c) Use your graph to find an estimate for the median.
Answer: ____ minutes [1]
(d) Use your graph to find an estimate for the interquartile range.
Answer: ____ minutes [2]

Question 14
Here are two vectors.
[Diagram or table: see page 16 of the paper]
Find the magnitude of AC .
Answer: ____
[3]

Question 15
Make x the subject of the formula y =
[Diagram or table: see page 16 of the paper]
Answer: ____
4 + 8 [4]

Question 16
Show that can be written in the form a + b 2, where a and b are integers.
Show each stage of your working clearly and give the value of a and the value of b. [3]

Question 17
y is directly proportional to the cube of x y = 20 h when x = h (h ≠ 0)
(a) Find a formula for y in terms of x and h
Answer: y = ____ [3]
(b) Find x in terms of h when y = 67.5 h Give your answer in its simplest form.
Answer: x = ____ [2]

Question 18
The diagram shows a solid cuboid.
[Diagram or table: see page 19 of the paper]
The total surface area of the cuboid is A cm^2
Find the maximum value of A.
Answer: ____ [5]

Question 19
ABCD is a quadrilateral.
[Diagram or table: see page 20 of the paper]
The area of triangle ACD is 250 cm^2
Calculate the area of the quadrilateral ABCD. Show your working clearly. Give your answer correct to 3 significant figures.
Answer: ____ cm^2 [6]

Question 20
The equation of the line L is y x The equation of the curve C is x^2íxy + 2y^2= 0
L and C intersect at two points.
Find the coordinates of these two points. Show clear algebraic working.
Answer: ( ____ , ____ ) and ( ____ , ____ ) [5]

Question 21
The diagram shows cuboid ABCDEFGH.
[Diagram or table: see page 23 of the paper]
Calculate the size of the angle between AF and the plane ABCD. Give your answer correct to one decimal place.
[Diagram or table: see page 23 of the paper]
Answer: ____
[Diagram or table: see page 24 of the paper]
[3]

Question 22
Simplify fully_2
[Diagram or table: see page 24 of the paper]
Answer: ____ [3]

Question 23
Boris has a bag that only contains red sweets and green sweets.
Boris takes at random 2 sweets from the bag.
The probability that Boris takes exactly 1 red sweet from the bag is 12/35
Originally there were 3 red sweets in the bag.
Work out how many green sweets there were originally in the bag. Show your working clearly.
Answer: ____ [5]

Question 24
The function f is such that f (x) = 3x – 2
(a) Find f (5)
Answer: ____ [1]
The function g is such that g(x) = 2x^2– 20x + 9 where x . 5
(b) Express the inverse function g^–1 in the form g^–1(x) = ...
Answer: g^–1(x) = ____ [4]