# 4MA1 Mathematics A January 2022 Paper 2FR (Foundation Tier Paper 2)

Pearson Edexcel International GCSE 4MA1 Mathematics A past paper 2FR, Foundation Tier Paper 2, January 2022. Open it online or download the question paper PDF free.

- Page: https://mathvsarham.com/past-papers/4ma1/2022-january-paper-2fr/
- PDF: https://mathvsarham.com/papers/4ma1/4MA1_january_2022_paper_2FR_qp.pdf
- Board: Edexcel
- Qualification: Pearson Edexcel International GCSE
- Subject: 4MA1 Mathematics A (https://mathvsarham.com/past-papers/4ma1/)
- Session: January 2022
- 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
The table gives the total area of forest in each of six countries.
[Diagram or table: see page 3 of the paper]
(a) Which of these six countries has the least total area of forest?
Answer: ____ [1]
(b) Write down the value of the 4 in 92 410
Answer: ____ [1]
Two of the six countries each have a total area of forest of 5000 km^2 when rounded to the nearest thousand.
(c) Write down the name of the two countries.
Answer: ____ _and ____ [1]
(d) Write the number 3371 in words.
Answer: ____ [1]

Question 2
The diagram shows three points, A, B and C, on a grid.
[Diagram or table: see page 4 of the paper]
(a) Write down the coordinates of
(i) point A
Answer: ( ____ , ____ )
(ii) point B
Answer: ( ____ , ____ ) [2]
D is the point such that ABCD is a rhombus.
(b) On the grid, mark with a cross ( × ) the point D Label this point D [1]
(c) Find the coordinates of the midpoint of AB
Answer: ( ____ , ____ ) [2]

Question 3
(a) Write down the mathematical name of this 3-D shape.
Answer: ____ [1]
Here is a solid prism.
(b) How many edges has the prism?
Answer: ____ [1]

Question 4
Here are the salaries, in thousands of dollars, of seven people.
[Diagram or table: see page 5 of the paper]
(a) Find the mode of the salaries.
Answer: ____ _thousand_dollars [1]
(b) Find the range of the salaries.
Answer: ____ _thousand_dollars [1]

Question 5
(a) Work out 4/5 of 80
Answer: ____ [1]
(b) Write 9/20 as a decimal.
Answer: ____ [1]
Here are four fractions.
[Diagram or table: see page 6 of the paper]
When written as a decimal, one of these fractions will give a terminating decimal.
(c) Write down the fraction.
Answer: ____ [1]
(d) Write 11/4 as a mixed number in its simplest form.
Answer: ____ [1]
Here is a list of four words that can be used to describe numbers.
[Diagram or table: see page 6 of the paper]
(e) Use the word from the list to complete the sentence below correctly.
Answer: 25 is a ____ number [1]

Question 6
Here is a square.
[Diagram or table: see page 7 of the paper]
The perimeter of the square is 24 cm.
The shaded rectangle below is made from 4 of these squares.
[Diagram or table: see page 7 of the paper]
Work out the perimeter of the shaded rectangle.
Answer: ____ _cm [3]

Question 7
(a) Write the ratio 42 : 96 in its simplest form.
Answer: ____ [2]
There are only apples and pears in a fruit basket so that
the number of apples : the number of pears = 4 : 11
(b) What fraction of the fruit in the basket is pears?
Answer: ____ [1]

Question 8
Danielle is going to print some business cards.
She uses this rule to work out the total cost, in euros, of printing the business cards.
[Diagram or table: see page 8 of the paper]
price per card = 0.14 euros fixed fee = 25 euros
Danielle is going to print 350 business cards.
Work out the total cost of printing the business cards.
Answer: ____ _euros [3]

Question 9
Here is a quadrilateral.
[Diagram or table: see page 9 of the paper]
(i) Work out the value of x
Answer: x = ____ [3]
(ii) Give a reason for your answer.
Answer: ____ [1]

Question 10
Thabisa is organising a trip to the theatre.
The cost of a ticket for each adult is £11.75 The total cost of the tickets for 12 adults and 5 children is £181
Work out the cost of a ticket for each child.
Answer: £ ____ [3]

Question 11
At school each week, Gabriella has to play a sport on Monday and a sport on Thursday.
The table shows the sports from which she can choose on Monday and the sports from which she can choose on Thursday.
[Diagram or table: see page 11 of the paper]
Write down all the possible combinations of these sports that Gabriella can play in one week.
Answer: ____ [2]

Question 12
Maria is going to make some flapjacks.
Here are four of the ingredients that she will use.
175 g butter 175 g syrup 175 g sugar 330 g oats
What percentage of these four ingredients is oats? Give your answer correct to 3 significant figures.
Answer: ____ _% [3]

Question 13
The diagram shows a solid wooden cuboid.
[Diagram or table: see page 12 of the paper]
The cuboid measures 65 cm by 35 cm by 45 cm.
A machine cuts the cuboid to make cubes. Each cube has edges of length 5 cm.
Work out the maximum number of cubes that can be made from the cuboid.
Answer: ____ [3]

Question 14
Anjali, Ravina and Sandeep were the three candidates in an election.
Heidi draws a pie chart for the number of votes received by each of the three candidates.
The angle in the pie chart for the number of votes received by Anjali is 90° The angle in the pie chart for the number of votes received by Ravina is 160°
Ravina received 400 votes.
Work out the number of votes Sandeep received.
Answer: ____ [3]

Question 15
(a) Solve 5c = 15
Answer: c = ____ [1]
(b) Expand x(8 – x)
Answer: ____ [1]
T = 5m – 6n
(c) Work out the value of T when m = 4.2 and n = –2.5
Answer: T = ____ [2]
(d) Make g the subject of k = 2g + t
Answer: ____ [2]

Question 16
(a) Show that 3/8  27/32  4/9 [2]
(b) Show that 5/6  3/8  11/24 [2]

Question 17
The accurate scale drawing shows the position of a college C and a train station S
[Diagram or table: see page 16 of the paper]
(a) Find the bearing of S from C
[Diagram or table: see page 16 of the paper]
Answer: ____ [1]
For Charles, 1 step = 0.44 m
(b) Work out the number of steps Charles walks as he goes in a straight line from the college to the train station. Give your answer correct to the nearest whole number of steps.
Answer: ____ [4]

Question 18
A tin contains tea bags with a choice of four different flavours of tea. The four flavours of tea are Assam or Darjeeling or Nilgiri or Rize.
Sara takes at random a tea bag from the tin.
The table shows each of the probabilities that the flavour of the tea Sara takes is Assam or Darjeeling or Rize.
[Diagram or table: see page 17 of the paper]
(a) Work out the probability that the flavour of the tea Sara takes is Nilgiri.
Answer: ____ [2]
(b) Work out the probability that the flavour of the tea Sara takes is either Darjeeling or Rize.
Answer: ____ [2]

Question 19
Mary saves for a holiday each year.
In 2020 she saved a total of $720 In 2021, each month she saved $78
The total amount Mary saved in 2021 was P% more than the total she saved in 2020
(a) Work out the value of P
Answer: ____ [4]
Roberto is going to go on holiday.
He has two coupons that will save him money on his holiday.
[Diagram or table: see page 19 of the paper]
the cost of the accommodation is $1600 the cost of the flights is $800
Roberto can only use one of the coupons. He wants to save as much money as he can.
(b) Which of the two coupons, A or B, should he use? Show your working clearly. [3]

Question 20
(a) Solve 4y + 5 > 12
Answer: ____ [2]
(b) Solve 6x  5  4x  7/2
Show clear algebraic working.
Answer: x = ____ [3]

Question 21
The diagram shows a regular octagon ABCDEFGH and a regular pentagon ABIJK
[Diagram or table: see page 21 of the paper]
Work out the size of the angle x
[Diagram or table: see page 21 of the paper]
Answer: ____ [4]

Question 22
Shane invests 7200 dollars for 3 years in a savings account. He gets 2.5% per year compound interest.
How much money will Shane have in his savings account at the end of 3 years? Give your answer to the nearest dollar.
Answer: ____ _dollars [3]

Question 23
(a) Write down the value of x^0
Answer: ____ [1]
Given that 2^–3 × 2^9= 2^n
(b) find the value of n
Answer: n = ____ [1]
7^206^m__3 Given that  7/7_214  7
(c) find the value of m
Answer: m = ____ [2]

Question 24
(a) Write down an equation of the straight line with gradient –3 and which passes through the point with coordinates (0, 5)
Answer: ____ [2]
(b) Show, by shading on the grid, the region defined by all three of the inequalities
[Diagram or table: see page 24 of the paper]
Label the region R
[Diagram or table: see page 24 of the paper]
[3]

Question 25
A scientist is investigating the weight of 50 tigers.
Here is some information about these tigers.
Type of tiger
[Diagram or table: see page 25 of the paper]
Mean weight of tigers (kg) 260
The mean weight of all 50 tigers is 218 kg
Work out the mean weight of the Bengal tigers.
Answer: ____ _kg [3]

Question 26
In the diagram, ABC is a right-angled triangle and DEF is a semicircular arc.
[Diagram or table: see page 26 of the paper]
The points D and F lie on AC so that DF is the diameter of the semicircular arc DEF The radius of the semicircular arc is 3 cm.
Work out the length of AFEDC Give your answer correct to 2 significant figures.
Answer: ____ _cm [5]