# 4MA1 Mathematics A May/June 2019 Paper 1H (Higher Tier Paper 1)

Pearson Edexcel International GCSE 4MA1 Mathematics A past paper 1H, Higher Tier Paper 1, May/June 2019. Open it online or download the question paper PDF free.

- Page: https://mathvsarham.com/past-papers/4ma1/2019-may-june-paper-1h/
- PDF: https://mathvsarham.com/papers/4ma1/4MA1_may-june_2019_paper_1H_qp.pdf
- Board: Edexcel
- Qualification: Pearson Edexcel International GCSE
- Subject: 4MA1 Mathematics A (https://mathvsarham.com/past-papers/4ma1/)
- Session: May/June 2019
- Paper: 1H (Higher Tier Paper 1)
- Component code: 4MA1/1H
- 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
Show that 4 2/3÷ 1 1/9= 4 1/5 [3]

Question 2
Jalina left her home at 10 00 to cycle to a park. On her way to the park, she stopped at a friend’s house and then continued her journey to the park. Here is the distance-time graph for her journey to the park.
[Diagram or table: see page 4 of the paper]
(a) On her journey to the park, did Jalina cycle at a faster speed before or after she stopped at her friend’s house? Give a reason for your answer.
Answer: ____ [1]
Jalina stayed at the park for 45 minutes. She then cycled, without stopping, at a constant speed of 16 km/h from the park back to her home.
(b) Show all this information on the distance-time graph. [2]
(c) Work out Jalina’s average cycling speed, in kilometres per hour, for the complete journey to the park and back. Do not include the times when she was not cycling in your calculation. Give your answer correct to 1 decimal place.
Answer: ____ _km/h [3]

Question 3
(a) Simplify e^9÷ e^5
Answer: ____ [1]
[Diagram or table: see page 6 of the paper]
Answer: ____ [1]
(c) Expand and simplify (x + 9)(x – 2)
Answer: ____ [2]
(d) Factorise fully 16c^4 p^2+ 20cp^3
Answer: ____ [2]

Question 4
(a) Complete the table of values for y = x^2íxí
[Diagram or table: see page 7 of the paper]
[2]
(b) On the grid, draw the graph of y = x^2íx x
[Diagram or table: see page 7 of the paper]
[2]

Question 5
Becky has a biased 6-sided dice.
The table gives information about the probability that, when the dice is thrown, it will land on each number.
[Diagram or table: see page 8 of the paper]
Becky is going to throw the dice 200 times.
Work out an estimate for the number of times that the dice will land on an even number.
Answer: ____ [4]

Question 6
The diagram shows a solid cuboid made from wood.
[Diagram or table: see page 9 of the paper]
The wood has density 0.7 g/cm^3
Work out the mass of the cuboid.
Answer: ____ _grams [3]

Question 7
(a) Write 5.7 × 10^6 as an ordinary number.
Answer: ____ [1]
(b) Write 0.004 in standard form.
Answer: ____ [1]
(c) Work out 2 × 10/6.4 × 10_−_2
Answer: ____ [2]

Question 8
On 1st January 2016 Li bought a boat for $170 000 The value of the boat depreciates by 8% per year.
Work out the value of the boat on 1st January 2019 Give your answer correct to the nearest dollar.
Answer: $ ____ [3]

Question 9
The diagram shows a shape made from a right-angled triangle and a semicircle.
[Diagram or table: see page 11 of the paper]
AC is the diameter of the semicircle. BA = BC = 6 cm Angle ABC = 90°
Work out the area of the shape. Give your answer correct to 1 decimal place.
Answer: ____ _cm^2 [5]

Question 10
A = 2^n × 3 × 5^m
Write 8A as a product of powers of its prime factors.
Answer: ____ [2]

Question 11
C = bía
a = 6 correct to the nearest integer b = 15 correct to the nearest 5
Work out the upper bound for the value of C Show your working clearly.
Answer: ____ [3]

Question 12
(a) Factorise 2x^2íx + 6
Answer: ____ [2]
(b) Solve 4m + 9/3 m
Show clear algebraic working.
Answer: m = ____ [4]
(c) Write y/y in the form y^b where b is a fraction.
Answer: ____ [2]

Question 13
In group C, there are 6 girls and 8 boys. In group D, there are 3 girls and 7 boys.
A team is made by picking at random one child from group C and one child from group D.
(a) Complete the probability tree diagram.
[Diagram or table: see page 14 of the paper]
Answer: ____
[Diagram or table: see page 14 of the paper]
Answer: ____
[Diagram or table: see page 14 of the paper]
Answer: ____
[Diagram or table: see page 14 of the paper]
Answer: ____
[Diagram or table: see page 14 of the paper]
[2]
(b) Work out the probability that there are two boys in the team.
Answer: ____ [2]
After the first team has been picked, a second team is picked. One child is picked at random from the children left in group C and one child is picked at random from the children left in group D.
(c) Work out the probability that there are two boys in each of the two teams.
Answer: ____ [3]

Question 14
E = {positive integers less than 20} A = {x : x  12} B = {x : 7 - x  16}
(a) List the members of A ∩ B
Answer: ____ [2]
C is a set such that C ⊂ A and n(C௘  
Given that all members of C are even numbers,
(b) list the members of one possible set C.
Answer: ____ [1]

Question 15
Use algebra to show that the recurring decimal 0.254 = 14/55 [2]

Question 16
Here are the first five terms of an arithmetic sequence.
[Diagram or table: see page 16 of the paper]
Find the sum of the first 100 terms of this sequence.
Answer: ____ [2]

Question 17
A and B are two similar vases.
[Diagram or table: see page 17 of the paper]
Vase A has height 24 cm. Vase B has height 36 cm.
Vase A has a surface area of 960 cm^2
(a) Work out the surface area of vase B.
Answer: ____ _cm^2 [2]
Vase B has a volume of V cm^3
(b) Find in terms of V, an expression for the volume, in cm^3, of vase A.
Answer: ____ _cm^3 [2]

Question 18
The diagram shows triangle PQR.
[Diagram or table: see page 18 of the paper]
Calculate the length of PR. Give your answer correct to 3 significant figures.
Answer: ____ _cm [3]

Question 19
The table gives information about the heights of some trees.
[Diagram or table: see page 19 of the paper]
On the grid, draw a histogram for this information.
[Diagram or table: see page 19 of the paper]
[3]

Question 20
B
[Diagram or table: see page 20 of the paper]
A, B, C and D are points on a circle. TDV is the tangent to the circle at D.
AB = AD Angle ADT = 71°
Work out the size of angle BCD. Give a reason for each stage of your working.
[Diagram or table: see page 20 of the paper]
Answer: ____ [5]

Question 21
A solid is made from a hemisphere and a cylinder. The plane face of the hemisphere coincides with the upper plane face of the cylinder.
[Diagram or table: see page 21 of the paper]
The hemisphere and the cylinder have the same radius.
The ratio of the radius of the cylinder to the height of the cylinder is 1 : 3
Given that the solid has volume 792ʌ cm^3 work out the height of the solid.
Answer: ____ _cm [5]

Question 22
The graph of y = sinx° for 0 - x - 360 is drawn on the grid.
[Diagram or table: see page 22 of the paper]
(a) On the grid, draw the graph of y = 2sin(x + 30)° for 0 - x - 360 [2]
(b)(i) Write x^2íx + 10 in the form (xía)^2+ b where a and b are integers.
Answer: ____ [2]
(ii) Hence, describe fully the single transformation that maps the curve with equation y = x^2 onto the curve with equation y = x^2íx + 10
Answer: ____ [2]

Question 23
ABCD is a kite with AB = AD and CB = CD.
B is the point with coordinates (10, 19) D is the point with coordinates (2, 7)
Find an equation of the line AC. Give your answer in the form py + qx = U where p, q and U are integers.
Answer: ____ [5]

Question 24
A particle P is moving along a straight line that passes through the fixed point O. The displacement, s metres, of P from O at time t seconds is given by
[Diagram or table: see page 24 of the paper]
Find the value of t for which the acceleration of P is 3 m/s^2
Answer: t = ____ [4]