Edexcel GCSE Foundation June 2018 Paper 3 (calculator)
28 questions · 80 marks. Every question from the paper, recreated, with the official mark scheme, an annotated worked solution and a shadow question (the same skill with new numbers). Open the paper in the Ultimate Exam Question Finder to present it, print it or build a set.
Question 1 (1 mark)
Write 9/10 as a decimal.
(1 mark)
Question 2 (1 mark)
Write 0.3 as a percentage.
(1 mark)
Question 3 (1 mark)
Write the number 2538 correct to the nearest hundred.
(1 mark)
Question 4 (3 marks)
Here are the first 4 terms of a sequence.
2 9 16 23
(a)(i)
Write down the next term in the sequence.
(1 mark)
(ii)
Explain how you got your answer.
(1 mark)
(b)
Work out the 10th term of the sequence.
(1 mark)
Question 5 (2 marks)
(a)
Here are four digits.
7 3 4 9
Use three of these digits to write down the largest possible 3-digit number.
(1 mark)
(b)
Here are four different digits.
8 2 1 6
Put one of these digits in each box to give the smallest possible answer to the sum.
You must use each digit only once.boxedphantomX boxedphantomX + boxedphantomX boxedphantomX
(1 mark)
Question 6 (2 marks)
Write down all the factors of 30
(2 marks)
Question 7 (2 marks)
David has twice as many cousins as Becky.
Becky has twice as many cousins as Nishat.Nishat has 6 cousins.
How many cousins does David have?
(2 marks)
Question 8 (3 marks)
(a)
Find the value of √(1.44 × 3.61)
(1 mark)
(b)
Find the value of (3.54 – 0.96)² – 4.096
(2 marks)
Question 9 (4 marks)
This is part of a bus timetable between Bury and Manchester.
Bury 08 25 08 55 09 15 09 30 09 45 10 05 Whitefield 08 34 09 04 09 24 09 39 09 54 10 14 Heaton Park 08 46 09 16 09 36 09 51 10 06 10 27 Cheetham 08 56 09 26 09 46 10 01 10 16 10 37 Manchester 09 05 09 35 09 55 10 10 10 25 10 48 (a)
How many minutes should the 08 25 bus take to go from Bury to Manchester?
(1 mark)
(b)
Daniel goes from Whitefield to Manchester by bus.
Daniel takes 17 minutes to get from his house to the bus stop in Whitefield.
He takes 15 minutes to get from the bus stop in Manchester to work.Daniel has to get to work by 10 am.
He leaves his house at 8.45 am.Does Daniel get to work by 10 am?
You must show all your working.(3 marks)
Question 10 (3 marks)
Bronwin works in a restaurant.
The table gives her rates of pay.Day Rate of pay Monday to Friday £8.40 per hour Weekend £11.20 per hour Bronwin worked for a total of 20 hours last week.
She worked 8 of these 20 hours at the weekend.Show that Bronwin was paid less than £200 last week.
(3 marks)
Question 11 (2 marks)
Last year the cost of a season ticket for a football club was £560
This year the cost of a season ticket for the club has been increased to £600Write down the increase in the cost of a season ticket as a fraction of last year’s cost.
(2 marks)
Question 12 (5 marks)
The diagram shows a scale drawing of a tennis court.
Diagram: An accurate scale drawing of a tennis court: a rectangle 11.5 cm long and 5.8 cm wide on the paper.
The scale of the drawing is 1 : 200
Work out the perimeter of the real tennis court.
Give your answer in metres.(5 marks)
Question 13 (2 marks)
Here are six straight line graphs.
Graph A
Diagram: Graph A: a line sloping down, crossing the y-axis at 2 and the x-axis at 2.
Graph B
Diagram: Graph B: a vertical line crossing the x-axis at 2.
Graph C
Diagram: Graph C: a line sloping down through O.
Graph D
Diagram: Graph D: a horizontal line crossing the y-axis at 2.
Graph E
Diagram: Graph E: a line sloping up, crossing the x-axis at –2 and the y-axis at 2.
Graph F
Diagram: Graph F: a line sloping up through O.
Match each equation in the table to the correct graph.
Write the letter of the graph in the table.Equation Graph y = 2 y = x x + y = 2 (2 marks)
Question 14 (5 marks)
Here are the marks 20 students got in a French test.
76 82 84 69 80 64 70 81 75 91
87 67 80 70 94 76 81 69 71 77(a)
Show this information in a stem and leaf diagram.
Diagram: An empty stem and leaf frame with four rows.
(3 marks)
(b)
One of these students is going to be chosen at random.
The pass mark in the French test is 71
Omar writes,
The probability that this student failed the French test is 1/4
Omar is wrong.
Explain why.
(2 marks)
Question 15 (2 marks)
(a)
Jenny is asked to find the value of 12 – 2 × 4
Here is her working.
12 – 2 × 4 = 10 × 4 = 40
Jenny’s answer is wrong.
Explain what Jenny has done wrong.
(1 mark)
(b)
Rehan is asked to find the range of the numbers 3 1 8 7 5
Here is his working.
Range = 5 – 3 = 2
This is wrong.
Explain why.
(1 mark)
Question 16 (5 marks)
Alan, Bispah and Chan share a sum of money.
Alan gets 1/8 of the money.
Bispah gets 1/2 of the money.
Chan gets the rest of the money.Alan gets £2.50
(a)
Work out how much money Bispah gets.
(2 marks)
(b)
Find the ratio
amount of money Alan gets : amount of money Chan gets
Give your answer in the form a : b where a and b are whole numbers.
(3 marks)
Question 17 (3 marks)
ABC is an isosceles right-angled triangle.
Diagram: An isosceles right-angled triangle ABC. AB is along the top and BC goes straight down from B; both are labelled 3x cm. The right angle is at B.
The area of the triangle is 162 cm²
Work out the value of x.
(3 marks)
Question 18 (2 marks)
Work out the value of (2.645 × 10⁹)/(1.15 × 10³)
Give your answer in standard form.
(2 marks)
Question 19 (3 marks)
The scatter diagram shows information about 12 girls.
It shows the age of each girl and the best time she takes to run 100 metres.
Diagram: A scatter diagram of 12 girls: age in years (9 to 15) across, time in seconds to run 100 metres (10 to 17.5) up. The crosses go down from top left to bottom right.
(a)
Write down the type of correlation.
(1 mark)
(b)
Kristina is 11 years old.
Her best time to run 100 metres is 12 seconds.The point representing this information would be an outlier on the scatter diagram.
Explain why.
(1 mark)
(c)
Debbie is 15 years old.
Debbie says,
“The scatter diagram shows I should take less than 12 seconds to run 100 metres.”
Comment on what Debbie says.
(1 mark)
Question 20 (2 marks)
Expand and simplify 5(p + 3) – 2(1 – 2p)
(2 marks)
Question 21 (2 marks)
Here is a trapezium drawn on a centimetre grid.
Diagram: A centimetre grid 10 squares wide and 14 squares tall. A trapezium is drawn near the top: its parallel sides are horizontal.
On the grid, draw a triangle equal in area to this trapezium.
(2 marks)
Question 22 (2 marks)
When a biased 6-sided dice is thrown once, the probability that it will land on 4 is 0.65
The biased dice is thrown twice.Amir draws this probability tree diagram.
The diagram is not correct.Diagram: Probability tree diagram. first throw: land on 4 0.65, not land on 4 0.25. second throw after land on 4: land on 4 0.35, not land on 4 0.65; after not land on 4: land on 4 0.65, not land on 4 0.35.
Write down two things that are wrong with the probability tree diagram.
(2 marks)
Question 23 (3 marks)
ABC is a right-angled triangle.
Diagram: A right-angled triangle ABC with the right angle at C. CB is along the bottom, 7 cm long; A is above C; AB is 11 cm. The angle at B is marked.
(a)
Work out the size of angle ABC.
Give your answer correct to 1 decimal place.(2 marks)
(b)
The length of the side AB is reduced by 1 cm.
The length of the side BC is still 7 cm.
Angle ACB is still 90°Will the value of cos ABC increase or decrease?
You must give a reason for your answer.(1 mark)
Question 24 (5 marks)
There are some counters in a bag.
The counters are red or white or blue or yellow.Bob is going to take at random a counter from the bag.
The table shows each of the probabilities that the counter will be blue or will be yellow.
Colour red white blue yellow Probability 0.45 0.25 There are 18 blue counters in the bag.
The probability that the counter Bob takes will be red is twice the probability that the
counter will be white.(a)
Work out the number of red counters in the bag.
(4 marks)
(b)
A marble is going to be taken at random from a box of marbles.
The probability that the marble will be silver is 0.5There must be an even number of marbles in the box.
Explain why.
(1 mark)
Question 25 (3 marks)
Solve (5 – x)/2 = 2x – 7
(3 marks)
Question 26 (5 marks)
ABCDE is a pentagon.
Diagram: A pentagon ABCDE. D is bottom left with a right angle; E is straight above D; A is at the top; B is on the right; C is at the bottom right. Angle A is marked 125° and angle E is marked 115°.
Angle BCD = 2 × angle ABC
Work out the size of angle BCD.
You must show all your working.(5 marks)
Question 27 (4 marks)
Triangle ABC and triangle DEF are similar.
Diagram: Triangle ABC: C bottom left, B bottom right, A at the top. CA is 6.4 cm, AB is 8.4 cm. One arc marks the angle at A, two arcs the angle at B and three arcs the angle at C.
Diagram: Triangle DEF: F bottom left, E bottom right, D at the top. DE is 12.6 cm, FE is 15 cm. One arc marks the angle at D, two arcs the angle at E and three arcs the angle at F.
(a)
Work out the length of DF.
(2 marks)
(b)
Work out the length of CB.
(2 marks)
Question 28 (3 marks)
Make g the subject of the formula T = √((g + 6)/2)
(3 marks)
Questions © Pearson Education, recreated by Mr Barton Maths for teaching. Each question is credited to its board, series, paper and number.