# 4MA1 Mathematics A January 2023 Paper 2F (Foundation Tier Paper 2)

Pearson Edexcel International GCSE 4MA1 Mathematics A past paper 2F, Foundation Tier Paper 2, January 2023. Open it online or download the question paper PDF free.

- Page: https://mathvsarham.com/past-papers/4ma1/2023-january-paper-2f/
- PDF: https://mathvsarham.com/papers/4ma1/4MA1_january_2023_paper_2F_qp.pdf
- Board: Edexcel
- Qualification: Pearson Edexcel International GCSE
- Subject: 4MA1 Mathematics A (https://mathvsarham.com/past-papers/4ma1/)
- Session: January 2023
- Paper: 2F (Foundation Tier Paper 2)
- Component code: 4MA1/2F
- 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
Here are four cards. Each card has a number on it.
[Diagram or table: see page 3 of the paper]
These four cards are arranged to make the number 5763
(a) Arrange the four cards to make the smallest possible number. [1]
(b) Arrange the four cards to make the largest possible even number. [1]
(c) Arrange two of the cards to make a prime number. [1]
(d) Arrange two of the cards to make a multiple of 8 [1]

Question 2
The pictogram shows information about the total weight of potatoes grown last year in each of five countries.
[Diagram or table: see page 4 of the paper]
The pictogram shows one country where the total weight of potatoes grown last year was 20 million tonnes.
(a) Which country?
Answer: ____ [1]
Last year, the weight of potatoes grown in The Netherlands was 6 million tonnes.
(b) Show this information on the pictogram. [1]
(c) Work out the total weight of potatoes grown in Germany and in France last year.
Answer: ____ _million_tonnes [2]

Question 3
Here is a number scale.
[Diagram or table: see page 5 of the paper]
(a) On the scale, mark with an arrow ( ) the number 554 [1]
Here is a different number scale.
[Diagram or table: see page 5 of the paper]
(b) Write down the number shown marked by the arrow.
Answer: ____ [1]

Question 4
(a) In the space below, draw a line of length 6.5 cm [1]
The diagram shows the straight lines QP and QR
[Diagram or table: see page 5 of the paper]
(b) Measure the size of angle PQR
Answer: ____ [1]

Question 5
The table gives information about the costs of sending parcels of different weights.
[Diagram or table: see page 6 of the paper]
Peony has one parcel of weight 1.3 kg and another parcel of weight 8 kg to send to two different places.
(a) Work out the total cost of sending these two parcels.
Answer: £ ____ [2]
Gryffyn sends 3 parcels each to a different place. One of the parcels has a weight of 1.5 kg and another of the parcels has a weight of 2.8 kg The total cost of sending the 3 parcels is £33.89
(b) Work out the greatest possible weight of the third parcel.
Answer: ____ _kg [3]

Question 6
(a) Write 5 15 pm using the 24-hour clock.
Answer: ____ [1]
Roberta goes out for a walk. She leaves home at 16 35 She arrives back home at 20 15 on the same day.
(b) Work out for how much time Roberta is out for her walk.
Answer: ____ _hours ____ _minutes [2]

Question 7
(a) Simplify c × c × c × c × c
Answer: ____ [1]
(b) Solve 5 + x = 12
Answer: x = ____ [1]
(c) Solve y/6= 3
Answer: y = ____ [1]
(d) Expand 5(2 + 3h)
Answer: ____ [1]
(e) Factorise g^2+ 7g
Answer: ____ [1]

Question 8
Here is a number machine.
[Diagram or table: see page 8 of the paper]
(a) Work out the output when the input is 9
Answer: ____ [1]
Here is a different number machine.
[Diagram or table: see page 8 of the paper]
When the input is 30 the output is 18
(b) Find a suitable way to complete the number machine. [1]
The following rule is used to work out the total cost, in euros, of hiring a cement mixer.
[Diagram or table: see page 8 of the paper]
James hires a cement mixer for 3 days.
(c) Work out the cost to James of hiring the cement mixer.
Answer: ____ _euros [1]
The cost to Sophia of hiring a cement mixer is 61 euros.
(d) For how many days does Sophia hire the cement mixer?
Answer: ____ _days [2]

Question 9
There are 120 cyclists in a cycling club. There are 67 professional cyclists and the rest are amateur cyclists. Each of these cyclists was asked to name their favourite type of bike.
The two-way table shows some information about their answers.
[Diagram or table: see page 9 of the paper]
(a) Complete the table. [3]
(b) Work out the percentage of the cyclists who answered Mountain bike.
Answer: ____ % [2]
Jacob is going to draw a pie chart for the age groups of the 120 cyclists. There are 41 people in the ‘over 60’ age group.
(c) Work out the size of the angle for the sector representing the ‘over 60’ age group.
[Diagram or table: see page 9 of the paper]
Answer: ____ [2]

Question 10
The frequency table shows information about the number of cookies made by each of the 21 people in a cookery class.
[Diagram or table: see page 10 of the paper]
(a) Write down the mode of the number of cookies made.
Answer: ____ [1]
(b) Find the median number of cookies made.
Answer: ____ [2]
(c) Find the total number of cookies made by the 21 people in the cookery class.
Answer: ____ [2]

Question 11
(a) Work out the value of (4 + 3 + 6)^2
Answer: ____ [1]
64 = 4^n
(b) Write down the value of n
Answer: n = ____ [1]
(c) Work out the value of 9.3 + 2.8/3.2 × 1.2
Write down all the figures on your calculator display.
Answer: ____ [2]

Question 12
Last season, Alisha and Jaya scored goals for their team in the ratio 4 : 7 Jaya scored 39 more goals than Alisha.
Work out the number of goals Alisha scored.
Answer: ____ [3]

Question 13
There are 380 students in a Sixth Form. The students are either in the Upper Sixth or in the Lower Sixth.
The number of students in the Upper Sixth is 20 fewer than the number of students in the Lower Sixth.
2/5 of the Upper Sixth students study mathematics.
32% of the Lower Sixth students study mathematics.
Work out the total number of students in the Sixth Form who study mathematics.
Answer: ____ [4]

Question 14
The diagram shows a solid prism.
[Diagram or table: see page 13 of the paper]
The cross section of the prism is shown shaded.
The volume of the prism is 924 cm^3
Work out the value of x
Answer: x = ____ [4]

Question 15
The diagram shows two parallel lines AB and DEF
[Diagram or table: see page 14 of the paper]
BEG is a straight line.
[Diagram or table: see page 14 of the paper]
Work out the value of w Give reasons for each stage of your working.
Answer: w = ____ [4]

Question 16
Show that 3 5/7 ÷ 1 5/8 = 2 2/7 [3]

Question 17
Change a speed of 90 kilometres per hour to a speed in metres per second. Show your working clearly.
Answer: ____ _m/s [3]

Question 18
ℰ = {11, 12, 13, 14, 15, 16, 17, 18, 19, 20}
A = {even numbers} A ∩ B = {12, 16, 20} (A ∪ B)ʹ = {17, 19}
Complete the Venn diagram for the sets ℰ, A and B
[Diagram or table: see page 16 of the paper]
[3]

Question 19
The diagram shows rectangle ABCD
[Diagram or table: see page 17 of the paper]
Work out the perimeter of the rectangle. Show your working clearly.
Answer: ____ _cm [4]

Question 20
The weight of a cake is 2.75 kg, correct to 2 decimal places.
(a) Write down the lower bound of the weight of the cake.
Answer: ____ _kg [1]
(b) Write down the upper bound of the weight of the cake.
Answer: ____ _kg [1]
Penny has worked out 81 .3 × 59 .2/1.9_2 on her calculator.
Her answer is 13 332.299 17
Penny’s answer is not sensible.
(c) By rounding each number to one significant figure, work out a suitable estimate to show that her answer is not sensible. Show your working clearly. [2]

Question 21
The points A and B are on a coordinate grid.
The coordinates of A are (6, 4) The coordinates of B are (17, j) where j is a constant.
The midpoint of AB has coordinates (k, 15) where k is a constant.
Find the value of j and the value of k
Answer: j = ____
Answer: k = ____ [3]

Question 22
Solve the simultaneous equations
[Diagram or table: see page 19 of the paper]
Show clear algebraic working.
Answer: x = ____
Answer: y = ____ [3]

Question 23
Matteo is going to invest 5000 Swiss francs for two years.
He can invest his money in Bank G or in Bank H.
[Diagram or table: see page 20 of the paper]
The total amount of interest Matteo would receive at the end of two years from Bank G is more than the amount of interest Matteo would receive at the end of two years from Bank H.
How much more?
Answer: ____ _Swiss_francs [4]

Question 24
(a) Write down the value of (m + 2)^0 where m is a positive integer.
Answer: ____ [1]
(b) Simplify (3a^2 b^4)^3
Answer: ____ [2]
(c) Factorise fully 14x^2 y^4+ 21x^3 y^2
Answer: ____ [2]
The diagram shows a straight line drawn on a grid.
[Diagram or table: see page 21 of the paper]
(d) Write down an equation of the line.
Answer: ____ [2]

Question 25
The diagram shows an isosceles triangle, with base length 24 cm.
[Diagram or table: see page 22 of the paper]
The perimeter of the triangle is 54 cm.
Work out the area of the triangle.
Answer: ____ _cm^2 [5]