# 4MA1 Mathematics A May/June 2018 Paper 2F (Foundation Tier Paper 2)

Pearson Edexcel International GCSE 4MA1 Mathematics A past paper 2F, Foundation Tier Paper 2, May/June 2018. Open it online or download the question paper PDF free.

- Page: https://mathvsarham.com/past-papers/4ma1/2018-may-june-paper-2f/
- PDF: https://mathvsarham.com/papers/4ma1/4MA1_may-june_2018_paper_2F_qp.pdf
- Board: Edexcel
- Qualification: Pearson Edexcel International GCSE
- Subject: 4MA1 Mathematics A (https://mathvsarham.com/past-papers/4ma1/)
- Session: May/June 2018
- 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
(a) Write 0.63 as a fraction.
Answer: ____ [1]
(b) Write 46 821 correct to the nearest 100
Answer: ____ [1]
(c) Write 73.654 correct to 1 decimal place.
Answer: ____ [1]
(d) Write 0.09 as a percentage.
Answer: ____ % [1]

Question 2
Daniel has five bags of coloured sweets. He picks at random a sweet from each bag. The table shows the probability that the sweet he picks from each bag is red.
[Diagram or table: see page 4 of the paper]
(a) From which bag is Daniel least likely to pick a red sweet?
Answer: ____ [1]
(b) Which bag contains only red sweets?
Answer: ____ [1]
(c) From which bag is Daniel equally likely to pick a red sweet as a sweet of another colour?
Answer: ____ [1]

Question 3
Joseph buys some heating oil. He puts it in his oil tank.
The scales show the numbers of litres of oil in the tank immediately before and immediately after Joseph puts the oil in the tank.
[Diagram or table: see page 5 of the paper]
The oil Joseph buys costs 0.40 euros per litre.
Work out the total cost of the oil that Joseph buys.
Answer: ____ _euros [3]

Question 4
The diagram shows points A, B and C on a square grid.
[Diagram or table: see page 6 of the paper]
(a) Write down the coordinates of C.
Answer: ( ____ , ____ ) [1]
(b) Measure the length of BC. Give your answer in centimetres.
Answer: ____ _cm [1]
(c) On the grid, mark with a cross (X) the point D so that ABCD is a parallelogram. Label this point D. [1]

Question 5
(a) Write down a multiple of 8 that is between 20 and 50
Answer: ____ [1]
There is only one prime number that is an even number.
(b) Write down this number.
Answer: ____ [1]
Shreya says that 57 is a prime number.
(c) Is Shreya correct? Give a reason for your answer.
Answer: ____ [1]

Question 6
Here is a sequence of patterns made from dots.
[Diagram or table: see page 8 of the paper]
(a) Draw Pattern number 4 in the space above. [1]
(b) Complete the table.
[Diagram or table: see page 8 of the paper]
[1]
(c) Work out the number of dots in Pattern number 13
Answer: ____ [2]
(d) Find an expression, in terms of n, for the number of dots in Pattern number n.
Answer: ____ [1]
There are fewer than 90 dots in Pattern number k.
(e) What is the largest possible value of k?
Answer: ____ [2]

Question 7
(a) Write 7 × 7 × 7 × 7 × 7 as a power of 7
Answer: ____ [1]
(b) Show that 64 is both a square number and a cube number. [2]
(c) Find the value of 11^3
Answer: ____ [1]
(d) Find the value of 98.01
Answer: ____ [1]

Question 8
(a) Find the value of 25 – 4 g when g = –3
Answer: ____ [2]
(b) Expand and simplify x(2x + 1) + 3(x – 2) + 7
Answer: ____ [3]

Question 9
R and S are points on a circle with centre O.
[Diagram or table: see page 10 of the paper]
(a) On the diagram above, shade a segment of the circle. [1]
(b) Write down the mathematical name of the straight line RS.
Answer: ____ [1]
In the diagram below, P and Q are points on a circle with centre O.
[Diagram or table: see page 10 of the paper]
QT is a tangent to the circle. Angle OPQ = 18q
(c) Work out the size of angle PQT. Give a reason for each stage of your working.
[Diagram or table: see page 10 of the paper]
Answer: ____ [3]

Question 10
Last Thursday, 135 students each bought one item of fruit. The table shows information about the 135 items of fruit they bought.
[Diagram or table: see page 11 of the paper]
One of the 135 students is chosen at random.
(a) Find the probability that this student bought an apple or a banana.
Answer: ____ [2]
A pie chart is drawn for the information in the table.
(b) Work out the size of the angle in the pie chart for oranges.
[Diagram or table: see page 11 of the paper]
Answer: ____ [2]

Question 11
(a) Work out the value of 10 .4/5.1 − 2.7 + 6.8 − 3.2/9.5
Give your answer as a decimal. Write down all the figures on your calculator display.
Answer: ____ [2]
(b) Give your answer to part (a) correct to 3 significant figures.
Answer: ____ [1]

Question 12
The diagram shows a quadrilateral ABCD on a centimetre grid.
[Diagram or table: see page 12 of the paper]
(a) Work out the area of triangle ABC. You must include the units with your answer.
Answer: ____ [3]
(b) Give a reason why angle ACD is equal to angle CAB.
Answer: ____ [1]
(c) Write down an equation for the straight line that passes through D and C.
Answer: ____ [1]

Question 13
Tenzin walks in the mountains. She has a rule to estimate the temperature at different heights on a mountain.
Temperature decreases by 2 qC for every increase of 300 metres in height.
The temperature at a height of 800 metres on a mountain is 6 qC.
(a) Use Tenzin’s rule to work out an estimate of the temperature at a height of 2000 metres on the mountain.
Answer: ____ qC [3]
Tenzin also has a rule to estimate the time it will take her to complete a walk in the mountains.
She uses an average speed of 5 km / h for the distance she will walk and then adds on 1 minute for every increase of 10 metres in height.
Tenzin plans to walk 12 km in the mountains with an increase of 800 metres in height.
(b) Use Tenzin’s rule to work out an estimate for the time it will take her to complete this walk. Give your answer in hours and minutes.
Answer: ____ _hours ____ _minutes [3]

Question 14
Javier has two sets of cards. Each set contains 4 cards, one marked A, one marked B, one marked C and one marked D.
Javier is going to take at random one card from each set. The table shows all possible pairs of cards that Javier could take.
[Diagram or table: see page 14 of the paper]
(a) Find the probability that Javier will take at least one card marked C.
Answer: ____ [2]
Javier is going to take at random one card from each set, note the letter on each card and replace the cards.
He is going to do this a total of 80 times.
(b) Work out an estimate for the number of times that Javier will take at least one card marked C.
Answer: ____ [2]

Question 15
[Diagram or table: see page 15 of the paper]
BCDE is a rectangle. ABE is an isosceles triangle.
AB = AE Angle BAE = 80q
Work out the size of angle x.
[Diagram or table: see page 15 of the paper]
Answer: ____ [3]

Question 16
Work out the difference between the largest share and the smallest share when 3450 yen is divided in the ratios 2 : 6 : 7
Answer: ____ _yen [3]

Question 17
Gopal is paid 20 000 rupees each month. Jamuna is paid 19 200 rupees each month.
Gopal and Jamuna are both given an increase in their monthly pay. After the increase, they are both paid the same amount each month.
Gopal was given an increase of 8%
Work out the percentage increase that Jamuna was given.
Answer: ____ % [4]

Question 18
(a) Make a the subject of the formula M = ac – bd
Answer: ____ [2]
(b) Solve the inequality 5x – 4  39
Answer: ____ [2]
(c) Factorise fully 18e^2 f^3– 12e^3 f
Answer: ____ [2]

Question 19
The diagram shows two cylinders, A and B.
[Diagram or table: see page 18 of the paper]
Cylinder A has height 1.6 m and radius 0.56 m.
(a) Work out the curved surface area of cylinder A. Give your answer in m^2 correct to 3 significant figures.
Answer: ____ _m^2 [2]
Cylinder B is mathematically similar to cylinder A. The height of cylinder B is 0.6 m.
(b) Work out the radius of cylinder B.
Answer: ____ _m [2]

Question 20
Show that 3 4/7 − 15/8 = 1 53/56 [3]

Question 21
[Diagram or table: see page 20 of the paper]
Work out the value of x. Give your answer correct to 3 significant figures.
Answer: x = ____ [3]

Question 22
The students in Class A and in Class B take the same examination.
There are 28 students in Class A and 32 students in Class B. The mean score for all the students in both classes is 72.6 The mean score for the students in Class A is 75
(a) Work out the mean score for the students in Class B.
Answer: ____ [4]
The lowest score in Class A is 39 The range of scores for Class A is 57 The lowest score in Class B is 33 The range of scores for Class B is 60
(b) Find the range of scores for all the students in both classes.
Answer: ____ [3]

Question 23
Solve the simultaneous equations
[Diagram or table: see page 22 of the paper]
Show clear algebraic working.
Answer: x = ____
Answer: y = ____
[Diagram or table: see page 23 of the paper]
[3]

Question 24
[Diagram or table: see page 23 of the paper]
(a) Find the value of n.
Answer: n = ____ [2]
(13^–6)^4 × 13^5= 13^k
(b) Find the value of k.
Answer: k = ____ [2]