# 4MA1 Mathematics A May/June 2018 Paper 1FR (Foundation Tier Paper 1)

Pearson Edexcel International GCSE 4MA1 Mathematics A past paper 1FR, Foundation Tier Paper 1, May/June 2018. Open it online or download the question paper PDF free.

- Page: https://mathvsarham.com/past-papers/4ma1/2018-may-june-paper-1fr/
- PDF: https://mathvsarham.com/papers/4ma1/4MA1_may-june_2018_paper_1FR_qp.pdf
- Board: Edexcel
- Qualification: Pearson Edexcel International GCSE
- Subject: 4MA1 Mathematics A (https://mathvsarham.com/past-papers/4ma1/)
- Session: May/June 2018
- Paper: 1FR (Foundation Tier Paper 1)
- Component code: 4MA1/1FR
- 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 information about the weights, in kilograms, of five animals.
[Diagram or table: see page 3 of the paper]
(a) Which animal has the least weight?
Answer: ____ [1]
(b) Write down the value of the 1 in the number 3178
Answer: ____ [1]
(c) Work out the difference between 2205 and 1013
Answer: ____ [1]
The weight of a blue whale is 20 times the weight of the giraffe.
(d) Work out the weight of the blue whale. Give your answer in tonnes. 1 tonne = 1000 kg
Answer: ____ _tonnes [2]

Question 2
A field is in the shape of a rectangle.
The width of the field is 70 m. The length of the field is 100 m.
Fafa walks around the edge of the field 3 times.
Work out the total distance Fafa walks.
Answer: ____ _m [3]

Question 3
Here is a rectangle A made from centimetre squares.
[Diagram or table: see page 5 of the paper]
(a) What fraction of rectangle A is shaded?
Answer: ____ [1]
Rectangle B is made from centimetre squares.
[Diagram or table: see page 5 of the paper]
(b) Shade 40% of rectangle B. [1]

Question 4
[Diagram or table: see page 6 of the paper]
(a) On the diagram, mark a right angle with the letter R. [1]
There is a quadrilateral in the diagram.
(b) Write down the mathematical name of this quadrilateral.
Answer: ____ [1]
(c) Measure the size of angle x.
Answer: ____ [1]

Question 5
A, B and C are three points marked on a grid.
[Diagram or table: see page 7 of the paper]
(a) On the grid, draw the line with equation x í Label the line L. [1]
M is the midpoint of AB.
(b) Find the coordinates of M.
Answer: ( ____ , ____ ) [2]
D is the point so that ABCD is a square.
(c) Find the coordinates of D.
Answer: ( ____ , ____ ) [2]

Question 6
Here is a number machine.
[Diagram or table: see page 8 of the paper]
(a) Work out the output when the input is 18
Answer: ____ [1]
(b) Work out the input when the output is 20
Answer: ____ [2]
Here is a different number machine.
[Diagram or table: see page 8 of the paper]
For this number machine, when the input is 8 the output is 50
(c) Work out the value of x.
Answer: x = ____ [2]

Question 7
Here is a list of all the nut trees Caterina counted one day.
[Diagram or table: see page 9 of the paper]
(a) Complete the frequency table for Caterina’s list.
[Diagram or table: see page 9 of the paper]
[2]
(b) Draw a bar chart for the information in your table. [3]

Question 8
(a) Simplify y u y u y
Answer: ____ [1]
(b) Simplify 3c u 2d
Answer: ____ [1]
(c) Simplify 2kík + 3k
Answer: ____ [1]

Question 9
The table shows the temperatures at midnight and at midday at five ski resorts.
[Diagram or table: see page 11 of the paper]
(a) Which ski resort had the lowest temperature at midnight?
Answer: ____ [1]
(b) Work out the increase in temperature from midnight to midday for Chamonix.
Answer: ____ _°C [1]
Jan knows that the temperature falls by 1 °C for every 300 m increase in height above Asiago.
(c) What was the temperature at midnight at a height 1800 m above Asiago?
Answer: ____ _°C [2]

Question 10
There are 20 counters in bag X.
7 of the counters are green. 10 of the counters are red. The rest of the counters are blue.
Ruth takes at random a counter from bag X.
(a) Write down the probability that the counter is red.
Answer: ____ [1]
(b) Work out the probability that the counter is blue.
Answer: ____ [1]
Ruth puts the counter back into bag X.
Bag Y only contains green counters, red counters and blue counters.
In bag Y there are,
2 more green counters than in bag X 1 more red counter than in bag X 2 more blue counters than in bag X
Adam takes at random a counter from bag Y. Ruth takes at random a counter from bag X.
(c) Who has the greater probability of taking a green counter, Adam or Ruth? Show your working clearly. [3]

Question 11
A sequence is formed by adding 1 to each square number. Here are the first five terms of the sequence.
[Diagram or table: see page 13 of the paper]
(a) Find the 10th term of the sequence.
Answer: ____ [1]
1025 is a term of this sequence.
(b) Which term?
Answer: ____ [2]

Question 12
[Diagram or table: see page 14 of the paper]
ABC is a straight line. Work out the value of x.
Answer: x = ____ [3]

Question 13
Show that 7/8 í 1/6 = 17/24 [2]

Question 14
y = cídx
c = 15 d = 8
(a) Work out the value of y.
Answer: y = ____ [2]
t = 18 q = 6
(b) Work out the value of p.
Answer: p = ____ [2]

Question 15
There are 440 students at a school. The number of male students is 40 more than the number of female students.
65% of the male students like art. 85% of the female students like art.
Work out the total number of students at the school who like art.
Answer: ____ [4]

Question 16
Here is a hexagon ABCDEF.
[Diagram or table: see page 17 of the paper]
CD is parallel to AF.
Work out the area of hexagon ABCDEF.
Answer: ____ _cm^2 [4]

Question 17
[Diagram or table: see page 18 of the paper]
(a) Reflect triangle S in the line y = x Label the new triangle R. [2]
(b) Translate triangle S by the vector ⎛ −4⎞/⎜
Label the new triangle T. [1]
[Diagram or table: see page 19 of the paper]
(c) Describe fully the single transformation that maps triangle P onto triangle Q.
Answer: ____ [2]

Question 18
The table gives information about the times, in hours, some students spent doing sport one week.
Time (T hours) Frequency
[Diagram or table: see page 20 of the paper]
Calculate an estimate for the mean time these students spent doing sport. Give your answer in hours, correct to 1 decimal place.
Answer: ____ _hours [4]

Question 19
Anna and Lionel share $675 in the ratio 4 : 5
Lionel gives 3/5 of his share of the money to his mother.
How much money does Lionel give to his mother?
Answer: $ ____ [3]

Question 20
E = n^2+ n + 5
(a) Work out the value of E when n = 3
Answer: E = ____ [1]
Ali thinks that the value of E will be a prime number for any whole number value of n.
(b) Is Ali correct? You must give a reason for your answer.
Answer: ____ [2]

Question 21
[Diagram or table: see page 22 of the paper]
ABC and DEF are parallel lines.
BG = BE Angle DEG = 38° Angle GEB = 65°
Find the size of angle ABG.
[Diagram or table: see page 22 of the paper]
Answer: ____ [3]

Question 22
Here are the first four terms of an arithmetic sequence.
[Diagram or table: see page 23 of the paper]
(a) Find an expression, in terms of n, for the nth term of this sequence.
Answer: ____ [2]
(b) Write down an expression, in terms of n, for the (n + 1)th term of this sequence.
Answer: ____ [1]

Question 23
(a) Write 1 390 000 in standard form.
Answer: ____ [1]
(b) Write 0.005 in standard form.
Answer: ____ [1]

Question 24
Here is an empty pool in the shape of a cuboid.
[Diagram or table: see page 24 of the paper]
The width of the pool is 3 m. The length of the pool is 12 m. The top of the pool is 2.5 m above the base of the pool.
Jeb is going to put water in the pool. The level of the surface of the water will be 60 cm below the top of the pool.
Water flows into the pool at 400 litres per minute. 1 m^3= 1000 litres
How long will it take to fill the pool to 60 cm below the top of the pool? Give your answer in hours and minutes.
Answer: ____ _hours ____ _minutes [4]

Question 25
Solve
[Diagram or table: see page 25 of the paper]
Show clear algebraic working.
Answer: x = ____
Answer: y = ____ [3]

Question 26
Change a speed of 72 kilometres per hour to a speed in metres per second.
Answer: ____ _metres_per_second [3]

Question 27
A company makes cars.
In 2016, the company made 350 cars.
In the first 6 months of 2017, the company made 25 cars each month. In the last 6 months of 2017, the company made 45 cars each month.
(a) Work out the percentage increase in the number of cars the company made from 2016 to 2017
Answer: ____ _% [4]
The company’s income in 2017 was $500 000 more than the company’s income in 2016
The company’s income in 2017 was 8% more than the company’s income in 2016
(b) Work out the company’s income in 2016
Answer: $ ____ [3]