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

Pearson Edexcel International GCSE 4MA1 Mathematics A past paper 2FR, 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-2fr/
- PDF: https://mathvsarham.com/papers/4ma1/4MA1_january_2023_paper_2FR_qp.pdf
- Board: Edexcel
- Qualification: Pearson Edexcel International GCSE
- Subject: 4MA1 Mathematics A (https://mathvsarham.com/past-papers/4ma1/)
- Session: January 2023
- Paper: 2FR (Foundation Tier Paper 2)
- Component code: 4MA1/2FR
- 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) Write these numbers in order of size. Start with the smallest number.
[Diagram or table: see page 3 of the paper]
Answer: ____ [1]
(b) Write in figures the number five thousand, one hundred and two.
Answer: ____ [1]
(c) Write down the value of the 3 in the number 7439
Answer: ____ [1]
(d) Write the number 651 correct to the nearest hundred.
Answer: ____ [1]

Question 2
The bar chart shows information about the weight of steel, in millions of tonnes, exported by each of five countries in 2019
[Diagram or table: see page 4 of the paper]
Using the information in the bar chart,
(a) write down the weight of steel exported by Germany,
Answer: ____ _million_tonnes [1]
(b) write down the country that exported 88 million tonnes of steel,
Answer: ____ [1]
(c) work out the difference between the weight of steel exported by Japan and the weight of steel exported by Saudi Arabia.
Answer: ____ _million_tonnes [1]
Italy exported 25 million tonnes of steel in 2019
(d) Draw a bar on the bar chart to show this information. [1]

Question 3
(a) Write down the mathematical name for an 8-sided polygon.
Answer: ____ [1]
[Diagram or table: see page 5 of the paper]
(b) What type of angle is the angle marked x?
Answer: ____ [1]
(c) On the diagram above, draw a chord of the circle. [1]
(d) Change 3.6 metres into centimetres.
Answer: ____ _cm [1]

Question 4
The diagram shows three points, A, B and C, and a line EF on a grid.
[Diagram or table: see page 6 of the paper]
(a) Write down the coordinates of the point A
Answer: ( ____ , ____ ) [1]
The coordinates of the point D are (3, –2)
(b) On the grid, mark with a cross (×) the position of D Label the cross D [1]
(c) Find the coordinates of the midpoint of BC
Answer: ( ____ , ____ ) [2]
(d) Write down the equation of the line EF
Answer: ____ [1]

Question 5
Pat has 4 parcels A, B, C and D
[Diagram or table: see page 7 of the paper]
The weight of parcel A is 400 grams.
The weight of parcel B is 350 grams more than the weight of parcel A The weight of parcel C is twice the weight of parcel A
The total weight of the 4 parcels is 2.5 kilograms.
Work out the weight, in grams, of parcel D
Answer: ____ _grams [4]

Question 6
Here are the first five terms of a number sequence.
[Diagram or table: see page 8 of the paper]
(a)(i) Write down the next term of the sequence.
Answer: ____ [1]
(ii) Explain how you worked out your answer.
Answer: ____ [1]
(b) Work out the 13th term of the sequence.
Answer: ____ [1]
(c) Explain why 467 cannot be a number in the sequence.
Answer: ____ [1]

Question 7
In a field, there are 60 sheep and 24 cows.
(a) Find the ratio of the number of sheep to the number of cows. Give your ratio in its simplest form.
Answer: ____ [2]
In a barn, there are only white ducks and brown ducks. In the barn, the ratio
[Diagram or table: see page 9 of the paper]
(b) What fraction of the ducks in the barn are white?
Answer: ____ [1]
Giles and Sarah share some bales of hay in the ratio 11 : 4
Sarah receives 20 bales of hay.
(c) Work out how many bales of hay are shared in total.
Answer: ____ [3]

Question 8
Linford is going to take part in an athletics competition. He can choose one event from List A and one event from List B
[Diagram or table: see page 10 of the paper]
Write down all the possible combinations Linford can choose.
Answer: ____ [2]

Question 9
(a) Write the time 8 30 pm using the 24-hour clock.
Answer: ____ [1]
Ella started watching television at 10 50 am.
Ella watched
a comedy programme lasting 45 minutes a sports programme lasting 1 hour 10 minutes a history programme
There were no breaks and no advertisements between the programmes. Ella finished watching television at 2 20 pm.
(b) How long did the history programme last? Give your answer in minutes.
Answer: ____ _minutes [3]

Question 10
Hermann changed £500 into euros. The exchange rate was £1 = 1.18 euros.
(a) Work out how much money, in euros, Hermann received.
Answer: ____ _euros [2]
Anita changed $350 into pounds (£) The exchange rate was £1 = $1.40
(b) Work out how much money, in pounds (£), Anita received.
Answer: £ ____ [2]

Question 11
Asif has 200 beads.
Asif gives 1/4 of the 200 beads to Bernadette.
Asif gives 2/5 of the 200 beads to Claudio.
Asif gives 43 beads to Derek.
What fraction of the 200 beads does Asif have left?
Answer: ____ [4]

Question 12
30 children were asked whether they have a cat (C ) or a dog (D)
Of the 30 children
[Diagram or table: see page 14 of the paper]
13 have a dog 11 have only a cat
(a) Complete the Venn diagram.
[Diagram or table: see page 14 of the paper]
Answer: ____
Answer: ____ [3]
One of the children is picked at random.
(b) Find the probability that this child
(i) has a dog,
Answer: ____ [1]
(ii) does not have a dog and does not have a cat.
Answer: ____ [1]

Question 13
The diagram shows the plan of a floor.
[Diagram or table: see page 15 of the paper]
Indira is going to paint the floor. She needs to buy enough tins of paint to cover the floor with one coat of paint.
Each tin of paint covers an area of 7 m^2 Each tin of paint costs £23.90
Indira buys the least possible number of tins of paint.
Work out the total cost of the tins of paint that Indira buys. Show your working clearly.
Answer: £ ____ [5]

Question 14
(a) Expand x(10 – x)
Answer: ____ [1]
(b) Factorise 6y + 27
Answer: ____ [1]
(c) Make m the subject of the formula h = m/2+ 4
Answer: ____ [2]
(d) Solve 7g + 3 = 2g – 5 Show clear algebraic working.
Answer: g = ____ [3]

Question 15
Show that 4 2/3 ÷ 1 5/6 = 2 6/11 [3]

Question 16
[Diagram or table: see page 18 of the paper]
(a) On the grid, rotate triangle A 180° about (1, –1) Label the new triangle B [2]
(b) On the grid, translate triangle A by the vector  −7/
Label the new triangle C [1]

Question 17
–8 < 2y  2
y is an integer.
(a) Find all the possible values of y
Answer: ____ [2]
(b) Write down the inequality shown on the number line.
[Diagram or table: see page 19 of the paper]
Answer: ____ [1]

Question 18
Using ruler and compasses only, construct the bisector of angle BAC You must show all your construction lines.
[Diagram or table: see page 19 of the paper]
[2]

Question 19
On the grid, draw the graph of 5x + 2y = 10 for values of x from –2 to 4
[Diagram or table: see page 20 of the paper]
[3]

Question 20
In a bag, there are only red counters, blue counters, green counters and yellow counters.
The total number of counters in the bag is 80
In the bag
the number of red counters is x + 7 the number of blue counters is x – 11 the number of green counters is 3x
Jude takes at random a counter from the bag.
The probability that he takes a red counter is 1/4
Work out the probability that Jude takes a yellow counter.
Answer: ____ [4]

Question 21
(a) Find the highest common factor (HCF) of 200 and 420
Answer: ____ [2]
A = 2^3 × 3 × 5 ×7^2 B = 2 × 3^2 × 7 C = 3 × 5^2 × 11
(b) Find the lowest common multiple (LCM) of A, B and C Write your answer as a product of powers of prime factors.
Answer: ____ [2]

Question 22
60 students sat a Mathematics exam.
The mean mark for the 32 students in Class A was 55 The mean mark for the 28 students in Class B was 52
Find the mean mark for all 60 students.
Answer: ____ [3]

Question 23
Teresa invests $2000 for 3 years in a savings account. She gets 4% each year compound interest.
(a) How much money will Teresa have in her savings account at the end of 3 years? Give your answer correct to the nearest dollar.
Answer: $ ____ [3]
Sam invested $T The value of his investment decreased by 9% each year.
At the end of the first year, the value of Sam’s investment was $1365
(b) Work out the value of T
Answer: ____ [3]

Question 24
The diagram shows two solids, A and B, made from two different metals.
[Diagram or table: see page 25 of the paper]
Solid A is in the shape of a cylinder with radius 3 cm and height 7 cm Solid A has a mass of 2000 g
Solid B has a mass of 3375 g Solid B has a volume of 450 cm^3
All of the metal from Solid A and Solid B is melted down to make a uniform Solid C
Given that there is no change to mass or volume during this process
work out the density of Solid C Give your answer correct to one decimal place.
Answer: ____ _g / cm^3 [3]

Question 25
A
[Diagram or table: see page 26 of the paper]
AB, BC, CD, DE and EF are five sides of a regular polygon.
RST, SCU and BCV are straight lines. RST is parallel to CD Angle RSC = 128° Angle UCV = 32°
Work out how many sides the polygon has. Show your working clearly.
Answer: ____ [4]