# 4MA1 Mathematics A May/June 2024 Paper 1F (Foundation Tier Paper 1)

Pearson Edexcel International GCSE 4MA1 Mathematics A past paper 1F, Foundation Tier Paper 1, May/June 2024. Open it online or download the question paper PDF free.

- Page: https://mathvsarham.com/past-papers/4ma1/2024-may-june-paper-1f/
- PDF: https://mathvsarham.com/papers/4ma1/4MA1_may-june_2024_paper_1F_qp.pdf
- Board: Edexcel
- Qualification: Pearson Edexcel International GCSE
- Subject: 4MA1 Mathematics A (https://mathvsarham.com/past-papers/4ma1/)
- Session: May/June 2024
- Paper: 1F (Foundation Tier Paper 1)
- Component code: 4MA1/1F
- 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 gives information about the lengths, in kilometres, of the shorelines of seven lakes.
Lake Length of shoreline (km)
[Diagram or table: see page 3 of the paper]
(a) Which of these seven lakes has the longest shoreline?
Answer: ____ [1]
(b) Write the number 6124 in words.
Answer: ____ [1]
The shoreline of Lake Nasser is longer than the shoreline of Lake Inari.
(c) How much longer?
Answer: ____ _km [1]
(d) Write down the value of the 6 in the number 4763
Answer: ____ [1]
Two numbers in the table round to 4000 when written correct to the nearest thousand.
(e) Write down these two numbers.
Answer: ____ _and ____ [1]

Question 2
(a) Simplify 10p – 4p + 9p
Answer: ____ [1]
(b) Simplify 9 × 4q
Answer: ____ [1]
(c) Solve 4r = 15
Answer: r = ____ [1]

Question 3
A box contains 10 balls.
5 balls are black 3 balls are green 2 balls are red
Rema is going to take at random a ball from the box.
(a) On the probability scale, mark with a cross (×) the probability that the ball is black.
[Diagram or table: see page 5 of the paper]
[1]
(b) On the probability scale, mark with a cross (×) the probability that the ball is orange.
[Diagram or table: see page 5 of the paper]
[1]
Johan has three bags of counters, A, B and C He tries to find the probability of taking at random a white counter from each bag. He writes his probabilities in a table.
[Diagram or table: see page 5 of the paper]
The probability that Johan writes for bag C is incorrect.
(c) Explain how you know that it is incorrect.
Answer: ____ [1]

Question 4
Here is a polygon.
(a) Write down the mathematical name of this polygon.
Answer: ____ [1]
(b) Write down the number marked with the arrow.
[Diagram or table: see page 6 of the paper]
Answer: ____ [1]
Here are four clock faces.
[Diagram or table: see page 6 of the paper]
(c) Write down the letter of the clock face that shows quarter to five.
Answer: ____ [1]
(d) Complete the following sentence by writing a suitable metric unit on the dotted line.
Answer: The height of the Eiffel Tower is 300 ____ [1]

Question 5
Here is a list of numbers.
[Diagram or table: see page 7 of the paper]
(a) From the numbers in the list, write down
(i) an odd number
Answer: ____ [1]
(ii) a number that is a multiple of both 4 and 6
Answer: ____ [1]
(iii) a cube number
Answer: ____ [1]
(iv) a prime number
Answer: ____ [1]
(b) Work out the value of
[Diagram or table: see page 7 of the paper]
Answer: ____ [1]

Question 6
[Diagram or table: see page 8 of the paper]
(a)(i) Work out the value of x
Answer: x = ____ [1]
(ii) Give a reason for your answer.
Answer: ____ [1]
[Diagram or table: see page 8 of the paper]
ABDE is a quadrilateral. BCD is an isosceles triangle. ABC is a straight line.
(b) Work out the value of y
Answer: y = ____ [3]

Question 7
Harold works in a factory.
His normal hourly rate of pay is £14 His overtime hourly rate of pay is £21
Harold is paid the normal hourly rate of pay for 35 hours in one week. His total pay for this week is £679
Work out the number of hours of overtime he works in this week.
Answer: ____ [4]

Question 8
(a) Simplify 10x – 7y – 6x + 4y
Answer: ____ [2]
T = 4d – 6e
(b) Work out the value of T when d = 13 and e = 7
Answer: T = ____ [2]
(c) Solve 5p + 11 = 28
Answer: p = ____ [2]

Question 9
ABC is an equilateral triangle with sides of length 9 cm.
Use a ruler and compasses only to construct the triangle ABC The side AB has been drawn for you. You must show all your construction lines.
[Diagram or table: see page 11 of the paper]
[2]

Question 10
There are 29 cars in a car park.
10 of the cars are red. The rest of the cars are white or blue.
Sasha selects at random one of these cars.
(a) Write down the probability that she selects a red car.
Answer: ____ [1]
The probability that Sasha selects a white car is 7/29
(b) Work out the probability that she selects a blue car.
Answer: ____ [2]

Question 11
David is going to make some biscuits.
Here is a list of ingredients for making 24 biscuits.
[Diagram or table: see page 13 of the paper]
five 250 g packs of butter
[Diagram or table: see page 13 of the paper]
Work out the maximum number of biscuits that David can make. Show your working clearly.
Answer: ____ [4]

Question 12
The table shows information about the number of school lunches each of 30 students had in one week.
[Diagram or table: see page 14 of the paper]
(a) Work out the mean number of school lunches.
Answer: ____ [3]
The probability that Alex takes a packed lunch to school is 0.79
(b) Work out the probability that Alex does not take a packed lunch to school.
Answer: ____ [1]

Question 13
On the grid, draw the graph of y = 2 x – 3 for values of x from –2 to 4
[Diagram or table: see page 15 of the paper]
[3]

Question 14
Chaviv makes 490 loaves of bread each week for his shop.
86 of the loaves are sourdough.
(a) Write 86 as a percentage of 490 Give your answer correct to one decimal place.
Answer: ____ % [2]
A loaf of sourdough bread weighs 375 grams before it is baked.
The loaf loses 12% of its weight when it is baked.
(b) Work out the weight of the loaf after it is baked.
Answer: ____ _grams [3]

Question 15
The diagram shows a shape ABCDE made from a right-angled triangle ABE and a square BCDE
[Diagram or table: see page 17 of the paper]
ABC is a straight line.
AB = 15 cm AE = 17 cm
The perimeter of triangle ABE is 40 cm
Work out the area of the shape ABCDE
Answer: ____ _cm^2 [4]

Question 16
Here are the first four terms of an arithmetic sequence.
[Diagram or table: see page 18 of the paper]
(a) Find an expression, in terms of n, for the nth term of this sequence.
Answer: ____ [2]
The nth term of a different arithmetic sequence is 5n + 17
(b) Find the 12th term of this sequence.
Answer: ____ [1]

Question 17
450 students were asked how they travelled to school on Monday. Each student walked or travelled by bus or travelled by car or travelled by bicycle. Each student used just one method of travel.
One of these students is chosen at random. The table shows information about the probability of each method of travel.
[Diagram or table: see page 19 of the paper]
Work out how many of the 450 students travelled by car.
Answer: ____ [4]

Question 18
Find the highest common factor (HCF) of 72 and 108 Show your working clearly.
Answer: ____ [2]

Question 19
Ava records the number of kilometres she drives each month.
In April, Ava drove 943 kilometres. This is 15% more than the number of kilometres she drove in March.
Work out the number of kilometres Ava drove in March.
Answer: ____ _kilometres [3]

Question 20
In the diagram, ABCDE is a regular pentagon.
[Diagram or table: see page 21 of the paper]
Angle AEF = 96°
Work out the size of the obtuse angle FED Show your working clearly.
[Diagram or table: see page 21 of the paper]
Answer: ____ [4]

Question 21
(a) Expand and simplify (m + 5)(m – 8)
Answer: ____ [2]
(b) Solve 3n – 4 = 5n + 6/3
Show clear algebraic working.
Answer: n = ____ [3]

Question 22
ℰ = {23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34} A = {even numbers} B = {23, 29, 31} C = {multiples of 3}
(a) List the members of the set
(i) B ∪ C
Answer: ____ [1]
(ii) A′ ∩ C
Answer: ____ [1]
(b) Is it true that B ∩ C = ∅ ?
Tick ( ) one of the boxes below.
[Diagram or table: see page 23 of the paper]
Give a reason for your answer.
Answer: ____ [1]
The set D has 4 members and is such that D ∩ (A ∪ C) = ∅
(c) List the members of set D
Answer: ____ [2]

Question 23
A cylinder is placed on a table.
[Diagram or table: see page 24 of the paper]
The volume of the cylinder is 1575 cm^3 The force exerted by the cylinder on the table is 84 newtons.
[Diagram or table: see page 24 of the paper]
Work out the pressure on the table due to the cylinder.
Answer: ____ _newtons/cm^2 [3]

Question 24
The table gives the amount of rice produced by each of two countries in 2020
[Diagram or table: see page 25 of the paper]
(a) Write 3.5 × 10^7 as an ordinary number.
Answer: ____ [1]
In 2020, Japan produced 6 780 000 more tonnes of rice than Argentina.
(b) Work out the amount of rice Japan produced in 2020 Give your answer in standard form.
Answer: ____ _tonnes [2]

Question 25
(a) Simplify (2p)^0 where p > 0
Answer: ____ [1]
y^9 × y^–3= y^n
(b) Find the value of n
Answer: n = ____ [1]
(c) Simplify fully (5a^4 c^2)^3
Answer: ____ [2]

Question 26
The diagram shows a roof support.
[Diagram or table: see page 27 of the paper]
The roof support is made from four lengths of wood, AB, AC, BC and MC
AC = BC = 9 m AB = 12 m
angle AMC = 90°
Lewis is going to buy lengths of wood to make the roof support.
The wood costs 21.50 euros per metre. Each length of wood he buys has to be a whole number of metres.
Work out the total cost of the wood Lewis needs to buy. Show your working clearly.
Answer: ____ _euros [4]