# 4MA1 Mathematics A Oct/Nov 2020 Paper 2FR (Foundation Tier Paper 2)

Pearson Edexcel International GCSE 4MA1 Mathematics A past paper 2FR, Foundation Tier Paper 2, Oct/Nov 2020. Open it online or download the question paper PDF free.

- Page: https://mathvsarham.com/past-papers/4ma1/2020-oct-nov-paper-2fr/
- PDF: https://mathvsarham.com/papers/4ma1/4MA1_oct-nov_2020_paper_2FR_qp.pdf
- Board: Edexcel
- Qualification: Pearson Edexcel International GCSE
- Subject: 4MA1 Mathematics A (https://mathvsarham.com/past-papers/4ma1/)
- Session: Oct/Nov 2020
- Paper: 2FR (Foundation Tier Paper 2)
- Component code: 4MA1/2FR
- 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
The table shows the depth of six ocean trenches.
[Diagram or table: see page 3 of the paper]
(a) Which of these trenches has the greatest depth?
Answer: ____ [1]
(b) Write down the value of the 5 in the number 8594
Answer: ____ [1]
(c) Write the number 4437 in words.
Answer: ____ [1]
When written correct to the nearest hundred, one of the numbers in the table is 8500
(d) What is this number?
Answer: ____ [1]
The Mariana Trench is 2864 metres deeper than the Diamantina Trench.
(e) Work out the depth of the Mariana Trench.
Answer: ____ _metres [2]

Question 2
The diagram shows some 3‑D shapes.
[Diagram or table: see page 4 of the paper]
(a) What is the mathematical name of shape A?
Answer: ____ [1]
(b) How many edges has shape B?
Answer: ____ [1]
(c) How many faces has shape C?
Answer: ____ [1]

Question 3
Here are the first five terms of a number sequence.
[Diagram or table: see page 4 of the paper]
(a) Find the next term of this sequence.
Answer: ____ [1]
(b) Explain how you found this term.
Answer: ____ [1]
The 9th term of this number sequence is 6561
(c) Find the 10th term of this sequence.
Answer: ____ [1]

Question 4
The bar chart shows information about the number of visitors to China from each of four countries in 2015
[Diagram or table: see page 5 of the paper]
(a) Write down the number of visitors from Japan.
Answer: ____ _million [1]
(b) From which country were there 1.1 million visitors?
Answer: ____ [1]
The number of visitors from Taiwan was 5.4 million.
(c) Draw a bar on the bar chart to show this information. [1]
The number of visitors from one country was twice the number of visitors from Malaysia.
(d) Write down the name of this country.
Answer: ____ [1]

Question 5
The diagram shows a quadrilateral ABCD drawn on a square grid.
[Diagram or table: see page 6 of the paper]
(a) Measure the length of BC.
Answer: ____ _cm [1]
(b) Write down the mathematical name of quadrilateral ABCD.
Answer: ____ [1]
(c) Write down the order of rotational symmetry of quadrilateral ABCD.
Answer: ____ [1]
(d) On the diagram, mark an obtuse angle with the letter x. [1]
Here is a diagram of a trapezium.
[Diagram or table: see page 7 of the paper]
(e) Work out the area of the trapezium.
Answer: ____ _cm^2 [2]

Question 6
There are 32 children in a nursery.
Sandeep buys 5 boxes of balloons. There are 25 balloons in each box.
Sandeep shares the balloons equally between the 32 children so that each child gets as many balloons as possible.
Work out the number of balloons that are not shared between the 32 children.
Answer: ____ [4]

Question 7
The diagram shows a trapezium ABCD in which AB and DC are parallel.
[Diagram or table: see page 8 of the paper]
Work out the value of x. Give a reason for each stage of your working.
Answer: x = ____ [4]

Question 8
The following rule is used to work out the total cost, in euros, of hiring a room.
[Diagram or table: see page 9 of the paper]
Paolo hires the room for 5 hours.
(a) Work out the total cost.
Answer: ____ _euros [2]
Agathe also hires the room. The total cost is 164 euros.
(b) For how many hours does Agathe hire the room?
Answer: ____ _hours [3]
The total cost of hiring the room for n hours is T euros.
(c) Write down a formula for T in terms of n.
Answer: ____ [2]

Question 9
(a) Work out 16 ÷ 4 + 3 × 8
Answer: ____ [1]
(b) Find the cube root of 5832
Answer: ____ [1]
(c) Write 85% as a decimal.
Answer: ____ [1]
(d) Write these fractions in order of size. Start with the smallest fraction.
[Diagram or table: see page 10 of the paper]
Answer: ____ [2]
(e) Write 36 as a fraction of 96 Give your fraction in its simplest form.
Answer: ____ [2]

Question 10
Freda is playing a car racing game on her computer.
She sets up her computer so that her car completes each lap in the same number of seconds. Her car completes 3 laps in 72 seconds.
To win the game, Freda has to complete 68 laps in less than half an hour.
Does Freda win the game? Give a reason for your answer. [4]

Question 11
Show that 5/12 + 3/8 = 19/24 [2]

Question 12
(a) Expand 4(m + 2)
Answer: ____ [1]
(b) Solve 2x + 5 = –19
Answer: x = ____ [2]

Question 13
[Diagram or table: see page 13 of the paper]
On the grid above, triangle A is the reflection of triangle B in the mirror line M.
(a) On the grid, draw the mirror line M. Label the line M. [1]
[Diagram or table: see page 13 of the paper]
(b) On the grid above, rotate the shaded shape C 90° anticlockwise about the point with coordinates (0, 0) [2]

Question 14
Here are two fair spinners.
[Diagram or table: see page 14 of the paper]
Chanthira spins each spinner once.
She adds together the number that spinner A lands on and the number that spinner B lands on to find the score.
(a) Complete the table to show all possible scores. Three scores have been done for you.
[Diagram or table: see page 14 of the paper]
[2]
(b) Find the probability that the score will be 4 or less.
Answer: ____ [2]
Chanthira now spins both spinners together 84 times.
(c) Find an estimate for the number of times that spinner A and spinner B land on the same number.
Answer: ____ [2]

Question 15
Write 880 as a product of powers of its prime factors. Show your working clearly.
Answer: ____ [3]

Question 16
(a) Write 2.46 × 10^6 as an ordinary number.
Answer: ____ [1]
(b) Write 0.000 74 in standard form.
Answer: ____ [1]
(c) Work out (5.6 × 10^6) + (2.3 × 10^5)
Answer: ____ [2]

Question 17
Alexa has five cards. Each card has a number on it.
The table gives information about the numbers on the five cards.
[Diagram or table: see page 17 of the paper]
Using the information in the table, complete each card by writing its number on it. [3]

Question 18
The length of a book is 33.8 cm, correct to one decimal place.
(a) Write down the lower bound of the length of the book.
Answer: ____ _cm [1]
(b) Write down the upper bound of the length of the book.
Answer: ____ _cm [1]

Question 19
Nav has worked out 68 .3 × 42 .8/0. 021 on his calculator.
His answer is 139 201.9048
Without using a calculator and using suitable approximations, check that his answer is sensible. Show your working clearly. [2]

Question 20
Markus makes a steel framework. The framework is in the shape of the right‑angled triangle ABC shown in the diagram.
[Diagram or table: see page 19 of the paper]
The steel that Markus uses costs $22 per metre. The steel can only be bought in a length that is a whole number of metres.
Work out the total cost of the steel that Markus buys in order to make the framework.
Answer: $ ____ [4]

Question 21
Alison buys 2 boxes of strawberries, box A and box B.
Box A contains 15 strawberries. The strawberries in box A have a mean weight of 24 grams.
Box B contains 25 strawberries. The strawberries in box B have a mean weight of 18 grams.
Alison puts all 40 strawberries into a bowl. Work out the mean weight of the 40 strawberries.
Answer: ____ _grams [3]

Question 22
(a) Factorise x^2– x – 42
Answer: ____ [2]
(b) Solve the inequality 3x + 15 < 8x + 3
Show clear algebraic working.
Answer: ____ [3]

Question 23
Given that 150^x = 1
(a) write down the value of x.
Answer: x = ____ [1]
Given that 3^–8÷ 3^–6= 3^n
(b) find the value of n.
Answer: n = ____ [1]

Question 24
Show, by shading on the grid, the region that satisfies all three of the inequalities
[Diagram or table: see page 22 of the paper]
Label the region R.
[Diagram or table: see page 22 of the paper]
[3]

Question 25
Find the gradient of the straight line with equation 5x + 2y = 7
Answer: ____ [2]

Question 26
The diagram shows four congruent right‑angled triangles ABJ, BCI, CDH and DEG. The diagram also shows the straight line ABCDEF.
[Diagram or table: see page 23 of the paper]
AJ = 15 cm Angle BAJ = 35°
AF = 80 cm
Work out the length of EF. Give your answer correct to 3 significant figures.
Answer: ____ _cm [5]