# 4MA1 Mathematics A May/June 2021 Paper 1H (Higher Tier Paper 1)

Pearson Edexcel International GCSE 4MA1 Mathematics A past paper 1H, Higher Tier Paper 1, May/June 2021. Open it online or download the question paper PDF free.

- Page: https://mathvsarham.com/past-papers/4ma1/2021-may-june-paper-1h/
- PDF: https://mathvsarham.com/papers/4ma1/4MA1_may-june_2021_paper_1H_qp.pdf
- Board: Edexcel
- Qualification: Pearson Edexcel International GCSE
- Subject: 4MA1 Mathematics A (https://mathvsarham.com/past-papers/4ma1/)
- Session: May/June 2021
- Paper: 1H (Higher Tier Paper 1)
- Component code: 4MA1/1H
- 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 plane flew from Madrid to Dubai.
The distance the plane flew was 5658 km. The flight time was 8 hours 12 minutes.
Work out the average speed of the plane.
Answer: ____ _km/h [3]

Question 2
Here are the first 4 terms of an arithmetic sequence.
[Diagram or table: see page 3 of the paper]
Find an expression, in terms of n, for the nth term of the sequence.
Answer: ____ [2]

Question 3
[Diagram or table: see page 4 of the paper]
The diagram shows the shape ABCDE.
The area of the shape is 91.8 cm²
Work out the value of x.
Answer: x = ____ [4]

Question 4
On a farm there are chickens, ducks and pigs.
The ratio of the number of chickens to the number of ducks is 7 : 2 The ratio of the number of ducks to the number of pigs is 5 : 9 There are 36 pigs on the farm.
Work out the number of chickens on the farm.
Answer: ____ [3]

Question 5
(a) Expand and simplify 3x(2x + 3) – x(3x + 5)
Answer: ____ [2]
(b) Make t the subject of the formula p = at – d
Answer: ____ [2]
Given that × w/w_3 = w
(c) work out the value of n.
Answer: n = ____ [2]

Question 6
Grace has a biased 5-sided spinner.
pink
[Diagram or table: see page 7 of the paper]
Grace is going to spin the arrow on the spinner once.
The table below gives the probabilities that the spinner will land on red or on blue or on green.
[Diagram or table: see page 7 of the paper]
The probability that the spinner will land on orange is 3 times the probability that the spinner will land on pink.
(a) Work out the probability that the spinner will land on orange.
Answer: ____ [3]
Grace spins the arrow on the spinner 150 times.
(b) Work out an estimate for the number of times the spinner lands on blue.
Answer: ____ [2]

Question 7
−4  2y < 6
y is an integer.
(a) Write down all the possible values of y.
Answer: ____ [2]
(b) Solve the inequality 7t – 3  2t + 31
Show your working clearly.
Answer: ____ [2]

Question 8
The table shows the populations of five countries.
[Diagram or table: see page 9 of the paper]
(a) Work out the difference between the population of China and the population of Germany. Give your answer in standard form.
Answer: ____ [2]
Given that
[Diagram or table: see page 9 of the paper]
(b) work out the value of k. Give your answer correct to the nearest whole number.
Answer: k = ____ [2]

Question 9
(a) Factorise fully 25a^4 c^7 d + 45a^9 c^3 h
Answer: ____ [2]
(b) Solve (2x + 5)^2= (2x + 3)(2x – 1)
Answer: x = ____ [3]

Question 10
Jethro has sat 5 tests. Each test was marked out of 100 and Jethro’s mean mark for the 5 tests is 74
Jethro has to sit one more test that is also to be marked out of 100
Jethro wants his mean mark for all 6 tests to be at least 77
Work out the least mark that Jethro needs to get for the last test.
Answer: ____ [3]

Question 11
[Diagram or table: see page 11 of the paper]
(a) Find the value of x. Show your working clearly.
Answer: x = ____ [2]
(11^−^6)^5_n
[Diagram or table: see page 11 of the paper]
(b) Find the value of n. Show your working clearly.
Answer: n = ____ [2]

Question 12
The diagram shows a sector of a circle with radius 7 cm.
[Diagram or table: see page 12 of the paper]
Work out the length of the arc of the sector. Give your answer correct to one decimal place.
Answer: ____ _cm [2]

Question 13
Expand and simplify 4x(3x + 1)(2x – 3) Show your working clearly.
Answer: ____ [3]

Question 14
Here is the number of goals that Henri’s team scored one summer in each water polo match.
[Diagram or table: see page 13 of the paper]
Find the interquartile range of the numbers of goals. Show your working clearly.
Answer: ____ [2]

Question 15
P, Q and R are points on a circle, centre O. TRV is the tangent to the circle at R.
[Diagram or table: see page 14 of the paper]
Reflex angle POR = 238° Angle QRV = 60°
Calculate the size of angle OPQ. Give a reason for each stage of your working.
[Diagram or table: see page 14 of the paper]
Answer: ____
[Diagram or table: see page 15 of the paper]
[4]

Question 16
Use algebra to show that the recurring decimal 0.2813 = 557/1980 [2]

Question 17
Using algebra, prove that, given any 3 consecutive even numbers, the difference between the square of the largest number and the square of the smallest number is always 8 times the middle number. [3]

Question 18
The table and histogram give information about the distance travelled, in order to get to work, by each person working in a large store.
[Diagram or table: see page 16 of the paper]
Using the information in the table and in the histogram,
(a) complete the table, [2]
(b) complete the histogram. [1]
One of the people working in the store is chosen at random.
(c) Work out an estimate for the probability that the distance travelled by this person, in order to get to work, was greater than 25 km.
Answer: ____ [2]

Question 19
The Venn diagram shows a universal set, E and sets A, B and C.
[Diagram or table: see page 18 of the paper]
12, 5, 9, 10, 6, 3, 4 and 8 represent the numbers of elements.
Find
(i) n(A ∪ B)
Answer: ____ [1]
(ii) n(Aʹ ∩ Bʹ)
Answer: ____ [1]
(iii) n([A ∩ B] ∪ C)
Answer: ____ [1]
[Diagram or table: see page 19 of the paper]

Question 20
P =
t = 9.7 correct to 1 decimal place
w = 5.9 correct to 1 decimal place
y = 3 correct to 1 significant figure
Calculate the upper bound for the value of P. Show your working clearly.
Answer: ____ [3]

Question 21
Given that x = 5/9 y + 5 and that y = 5/5a − 2
find an expression for x in terms of a. Give your expression as a single fraction in its simplest form.
Answer: ____ [4]

Question 22
The diagram shows a triangular prism ABCDEF with a horizontal base ABEF.
[Diagram or table: see page 21 of the paper]
Calculate the size of the angle between AD and the base ABEF. Give your answer correct to 3 significant figures.
Answer: ____ ° [4]

Question 23
The sum of the first N terms of an arithmetic series, S, is 292 The 2nd term of S is 8.5 The 5th term of S is 13
Find the value of N. Show clear algebraic working.
Answer: N = ____ [5]

Question 24
The functions f and g are defined as
[Diagram or table: see page 23 of the paper]
(a) Find fg(2)
Answer: ____ [2]
(b) Express the inverse function f^−1 in the form f^−1 (x) = ...
Answer: f^−1 (x) = ____ [4]

Question 25
The diagram shows two circles such that the region R, shown shaded in the diagram, is the region common to both circles.
[Diagram or table: see page 24 of the paper]
One of the circles has centre O and radius 5 cm. The other circle has centre P and radius 4 cm. Angle AOB = 50°
Calculate the area of region R. Give your answer correct to 3 significant figures.
Answer: ____ _cm^2 [6]

Question 26
OACB is a trapezium.
[Diagram or table: see page 26 of the paper]
OA = 2a OB = 5b AC = 3b
The diagonals, OC and AB, of the trapezium intersect at the point P. → Find and simplify an expression, in terms of a and b, for OP Show your working clearly.
[Diagram or table: see page 27 of the paper]
Answer: OP = ____ [5]