Edexcel GCSE Foundation June 2018 Paper 2 (calculator)
26 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 4/50 as a percentage.
(1 mark)
Question 2 (1 mark)
Write 1.59 correct to 1 decimal place.
(1 mark)
Question 3 (1 mark)
Work out the value of 3⁵
(1 mark)
Question 4 (1 mark)
Write down a 6 digit number that has 4 as its thousands digit.
You can only use the digit 4 once.(1 mark)
Question 5 (3 marks)
(a)
Change 35 cm to mm.
(1 mark)
(b)
Change 7700 millilitres to litres.
(1 mark)
(c)
Change 0.32 kilograms to grams.
(1 mark)
Question 6 (3 marks)
Margaret is thinking of a number.
She says,
“My number is odd. It is a factor of 36 and a multiple of 3”
There are two possible numbers Margaret can be thinking of.
Write down these two numbers.(3 marks)
Question 7 (2 marks)
Mohsin, Yusuf and Luke are going to play a game.
At the end of the game, one of them will be in First place, one of them will be in Second place and one of them will be in Third place.
Use the table below to list all the possible outcomes of the game.
First place Second place Third place (2 marks)
Question 8 (5 marks)
Neil buys 30 pens, 30 pencils, 30 rulers and 30 pencil cases.
Price list pens 6 for 82p pencils 15 for 45p rulers 10 for £1.25 pencil cases 37p each What is the total amount of money Neil spends?
(5 marks)
Question 9 (4 marks)
Emily drives 186 miles in 3 hours.
(a)
What is her average speed?
(2 marks)
(b)
Sarah drives at an average speed of 58 mph for 4 hours.
How many miles does Sarah drive?
(2 marks)
Question 10 (3 marks)
(a)
Write down all the prime numbers between 20 and 30
(2 marks)
(b)
Catherine says,
“2 is the only even prime number.”
Is Catherine right?
You must give a reason for your answer.(1 mark)
Question 11 (3 marks)
(a)
Solve x + x + x = 51
(1 mark)
(b)
Solve y/4 = 3
(1 mark)
(c)
Solve 2f + 7 = 18
(1 mark)
Question 12 (3 marks)
A group of football fans were asked what their half time snack was.
The table below gives information about their answers.
Snack Number of fans burger 11 pie 17 hot dog 8 Draw an accurate pie chart for this information.
Diagram: A circle with one radius drawn from the centre straight up.
(3 marks)
Question 13 (2 marks)
A scout group has a raffle to raise money for charity.
There is 1 prize to be won in the raffle.Laura buys 12 raffle tickets.
A total of 350 raffle tickets are sold.Find the probability that Laura does not win the prize.
(2 marks)
Question 14 (3 marks)
Each worker in a factory is either left-handed or right-handed.
22 of the 45 workers are male.
16 of the 34 right-handed workers are female.Complete the frequency tree for this information.
Diagram: A frequency tree: 45 at the start, branching into male and female, then each branching into left-handed and right-handed. The other six ovals are empty.
(3 marks)
Question 15 (2 marks)
(a)
Mary needs to work out the size of angle x in this diagram.
Diagram: Triangle ABC with B at the bottom left, C at the bottom right and A at the top. Sides AC and BC are marked as equal. Angle ABC is 63° and angle ACB is marked x.
She writes
x = 63° because base angles of an isosceles triangle are equal.
Mary is wrong.
Explain why.
(1 mark)
(b)
William needs to work out the size of angle y in this diagram.
Diagram: Two parallel lines marked with arrows: DE at the top and FGH at the bottom, with G between F and H. A line joins E to G. Angle DEG is 57° and angle FGE is marked y.
William writes
Working Reason angle EGH = 57° because corresponding angles are equal y = 180° – 57°
y = 123°because angles on a straight line add up to 180° One of William’s reasons is wrong.
Write down the correct reason.
(1 mark)
Question 16 (3 marks)
Marla buys some bags of buttons.
There are 19 buttons or 20 buttons or 21 buttons or 22 buttons in each bag.The table gives some information about the number of buttons in each bag.
Number of buttons Frequency 19 20 7 21 3 22 1 The total number of buttons is 320
Complete the table.
(3 marks)
Question 17 (3 marks)
Here is the list of ingredients for making 30 biscuits.
Ingredients for 30 biscuits 225 g butter 110 g caster sugar 275 g plain flour 75 g chocolate chips Lucas has the following ingredients.
900 g butter
1000 g caster sugar
1000 g plain flour
225 g chocolate chipsWhat is the greatest number of biscuits Lucas can make?
You must show your working.(3 marks)
Question 18 (2 marks)
Diagram: A grid with x and y from –5 to 5. Shape A has vertices (3, 1), (4, 1), (4, 2), (3, 4). Shape B has vertices (–3, 1), (–4, 1), (–4, 2), (–3, 4).
Describe fully the single transformation that maps shape A onto shape B.
(2 marks)
Question 19 (5 marks)
A farmer has a field in the shape of a semicircle of diameter 50 m.
Diagram: A semicircle with its straight side at the bottom. A double arrow under the straight side shows the diameter, 50 m.
The farmer asks Jim to build a fence around the edge of the field.
Jim tells him how much it will cost.Total cost = £29.86 per metre of fence plus £180 for each day’s work Jim takes three days to build the fence.
Work out the total cost.
(5 marks)
Question 20 (5 marks)
(a)
Simplify m³ × m⁴
(1 mark)
(b)
Simplify (5np³)³
(2 marks)
(c)
Simplify (32q⁹r⁴)/(4q³r)
(2 marks)
Question 21 (3 marks)
(a)
Find the lowest common multiple (LCM) of 40 and 56
(2 marks)
(b)
A = 2³ × 3 × 5 B = 2² × 3 × 5²
Write down the highest common factor (HCF) of A and B.
(1 mark)
Question 22 (3 marks)
The line L is shown on the grid.
Diagram: A straight line L on a grid, x from –1 to 5 and y from –7 to 2. It goes from (–0.333333333, –6.999999999) up to (2.666666667, 2.000000001), crossing the y-axis at –6.
Find an equation for L.
(3 marks)
Question 23 (5 marks)
Raya buys a van for £8500 plus VAT at 20%
Raya pays a deposit for the van.
She then pays the rest of the cost in 12 equal payments of £531.25 each month.Find the ratio of the deposit Raya pays to the total of the 12 equal payments.
Give your answer in its simplest form.(5 marks)
Question 24 (6 marks)
(a)
Complete the table of values for y = x² – x – 6
x –3 –2 –1 0 1 2 3 y 6 –6 (2 marks)
(b)
On the grid, draw the graph of y = x² – x – 6 for values of x from –3 to 3
Diagram: A graph.
(2 marks)
(c)
Use your graph to find estimates of the solutions to the equation x² – x – 6 = -2
(2 marks)
Question 25 (3 marks)
A force of 70 newtons acts on an area of 20 cm²
pressure = dfracforcearea The force is increased by 10 newtons.
The area is increased by 10 cm²Helen says,
“The pressure decreases by less than 20%”
Is Helen correct?
You must show how you get your answer.(3 marks)
Question 26 (5 marks)
Here is a triangular prism.
Diagram: A triangular prism. Its front face is a right-angled triangle with the right angle at the bottom left: the vertical side is 7.2 cm and the sloping side is 8.4 cm. The prism is 18 cm long, going back to the right. Hidden edges are dashed.
Work out the volume of the prism.
Give your answer correct to 3 significant figures.(5 marks)
Questions © Pearson Education, recreated by Mr Barton Maths for teaching. Each question is credited to its board, series, paper and number.