Edexcel GCSE Foundation November 2020 Paper 3 (calculator)
29 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)
Change 300 centimetres into metres.
(1 mark)
Question 2 (1 mark)
Work out 1/3 of 24
(1 mark)
Question 3 (1 mark)
Write 40% as a fraction.
(1 mark)
Question 4 (1 mark)
Work out 2.5²
(1 mark)
Question 5 (1 mark)
Write the following numbers in order of size.
Start with the smallest number.1 –4 0 7 –6 –3 2
(1 mark)
Question 6 (2 marks)
The graph shows some information about car production in the UK over eight years.
Diagram: Vertical line chart of car production in the UK, in millions, for years 1 to 8. Year 1: 1.23, Year 2: 1.28, Year 3: 1.35, Year 4: 1.46, Year 5: 1.5, Year 6: 1.5, Year 7: 1.58, Year 8: 1.72 million.
(a)
For how many of these years was car production more than 1.4 million?
(1 mark)
(b)
In which two years was car production the same?
(1 mark)
Question 7 (2 marks)
Diagram: A rectangle split into 16 equal squares, 4 across and 4 down. 12 of the squares are shaded.
What fraction of the shape is shaded?
Give your answer in its simplest form.(2 marks)
Question 8 (3 marks)
Karim buys 200 tiles.
The tiles are sold in boxes.
There are 25 tiles in each box.
Each box of tiles costs £9.75Work out the total cost of the boxes of tiles Karim buys.
(3 marks)
Question 9 (3 marks)
(a)
Work out the value of 300/(2 × 5)
(1 mark)
(b)
Work out the value of (6 – 2.5)(8 + 4)
(1 mark)
(c)
Write down the reciprocal of 20
(1 mark)
Question 10 (3 marks)
The graph shows information about the time, in minutes, a liquid has been cooling
and the temperature of the liquid in °C.Diagram: Graph of the temperature of a cooling liquid, in °C, against time in minutes, from 0 to 12. A smooth curve falls steeply at first, then more slowly. The curve passes through (0, 100), (2, 80), (3, 73), (8, 50), (9, 47), (12, 40).
(a)
What is the temperature of the liquid at time 2 minutes?
(1 mark)
(b)
Pam recorded the time when the liquid had a temperature of 50°C.
Write down this time.
(1 mark)
(c)
Pam says that the temperature of the liquid drops more in the first 3 minutes of cooling
than it does between time 9 minutes and time 12 minutes.Is Pam correct?
Give a reason for your answer.(1 mark)
Question 11 (3 marks)
PQRS is a quadrilateral.
PST is a straight line.Diagram: Quadrilateral PQRS with angle P 95°, angle Q 130°, angle R 65°. PS is extended in a straight line to T; the angle between SR and ST is marked y°.
Find the value of y.
(3 marks)
Question 12 (3 marks)
Here are the first five terms of a number sequence.
45 40 35 30 25
(a)(i)
Write down the next two terms of this sequence.
(1 mark)
(ii)
A term of this sequence is –5
Which term?
(1 mark)
(b)
The nth term of a different sequence is given by the expression 4n + 3
Find the 9th term of this sequence.
(1 mark)
Question 13 (2 marks)
Diagram: An L-shape with all its corners right angles. The bottom is 10 cm, the left side 7 cm, the top 4 cm, and the inner vertical side 5 cm.
Work out the perimeter of this shape.
(2 marks)
Question 14 (4 marks)
(a)
Simplify 3x + 5y + 2x – 4y
(2 marks)
(b)
Solve 5p + 7 = 22
(2 marks)
Question 15 (5 marks)
Here are the costs of the same type of batteries in two shops.
Shop A Shop B Pack of 4 batteries Pack of 6 batteries £1.60 £2.70 Harry needs to buy at least 30 batteries.
He assumes that he has to buy batteries in whole packs.
Harry wants to buy the batteries as cheaply as possible from the same shop.(a)
Which shop should he buy the batteries from, shop A or shop B?
You must show all your working.(4 marks)
(b)
Harry’s assumption is wrong.
He can buy single batteries for 40p each in shop A and for 45p each in shop B.Does this affect which of these two shops Harry should buy the batteries from?
Give a reason for your answer.(1 mark)
Question 16 (3 marks)
There are only 5 blue cards, 2 green cards and 4 red cards in a pack.
Isabella is going to take at random one card from the pack.(a)
Write down the probability that Isabella will take a blue card.
(2 marks)
(b)
Ken is going to throw a biased dice once.
The probability that the dice will land on six is 0.3What is the probability that the dice will not land on six?
(1 mark)
Question 17 (2 marks)
Draw accurately an isosceles triangle with sides of length 8 cm, 6 cm and 6 cm.
One side of the triangle has been drawn for you.Diagram: A straight line 8 cm long.
(2 marks)
Question 18 (3 marks)
This graph can be used to change between US dollars (＄) and British pounds (£).
Diagram: A straight-line conversion graph through (0, 0) and (50, 65): British pounds from 0 to 50 across, US dollars from 0 to 70 up. The rate is 1.3 dollars to the pound.
Rosie bought a ring in the USA.
She paid 345 US dollars.Work out in pounds the amount Rosie paid for the ring.
(3 marks)
Question 19 (4 marks)
Here are the types of sandwiches sold in a cafe last week.
Sandwiches Tuna Cheese Chicken Egg 56 tuna sandwiches were sold.
This was 40% of the total number of sandwiches sold.(a)
Work out the total number of sandwiches sold.
(2 marks)
(b)
Of the 56 tuna sandwiches sold, 18 were sold on Friday.
Write 18 as a percentage of 56
Give your answer correct to the nearest whole number.(2 marks)
Question 20 (4 marks)
Akhtar, Ben and Carl each have some money.
Akhtar has £65
Ben has £100
Carl has three £5 notes, one £20 note and some £10 notes.The mean amount of money per person is £80
How many £10 notes does Carl have?
(4 marks)
Question 21 (2 marks)
(a)
Malik is going to throw a fair coin 50 times.
Write down an estimate for the number of times the coin will land on heads.
(1 mark)
(b)
Paula and Simon are trying to find out if a different coin is biased.
Paula throws this coin 10 times.
She records the number of times the coin lands on heads.Simon throws the same coin 100 times.
He records the number of times the coin lands on heads.Whose results will be more useful in deciding if the coin is biased?
Give a reason for your answer.(1 mark)
Question 22 (2 marks)
Here is a solid made from a square-based pyramid and a cube.
Each edge of the solid has length 6 cm.Diagram: A solid made from a cube with a square-based pyramid on top. The base of the pyramid is the top face of the cube. Every edge is 6 cm.
On the centimetre grid, draw the plan of this solid.
Diagram: A centimetre grid, 10 squares by 10 squares.
(2 marks)
Question 23 (5 marks)
(a)
Simplify n³ × n⁵
(1 mark)
(b)
Simplify (c³d⁴)/(c²d)
(2 marks)
(c)
Solve 5x/2 > 7
(2 marks)
Question 24 (3 marks)
Andy cycles a distance of 30 km at an average speed of 24 km/h.
He then runs a distance of 12 km at an average speed of 8 km/h.Work out the total time Andy takes.
Give your answer in hours and minutes.(3 marks)
Question 25 (2 marks)
A number, m, is rounded to 1 decimal place.
The result is 9.4Complete the error interval for m.
……… ≤ m < ………
(2 marks)
Question 26 (5 marks)
Maisie knows that she needs 3 kg of grass seed to make a rectangular lawn 5 m by 9 m.
Grass seed is sold in 2 kg boxes.
Maisie wants to make a rectangular lawn 10 m by 14 m.
She has 5 boxes of grass seed.(a)
Has Maisie got enough grass seed to make a lawn 10 m by 14 m?
You must show all your working.(4 marks)
(b)
Maisie opens the 5 boxes of grass seed.
She finds that 4 of the boxes contain 2 kg of grass seed.
The other box contains 1 kg of grass seed.Does this affect whether Maisie has enough grass seed to make her lawn?
Give a reason for your answer.(1 mark)
Question 27 (4 marks)
Amanda has two fair 3-sided spinners.
Spinner A
Diagram: A fair 3-sided spinner with the numbers 1, 2, 3, one in each section.
Spinner B
Diagram: A fair 3-sided spinner with the numbers 1, 2, 3, one in each section.
Amanda spins each spinner once.
(a)
Complete the probability tree diagram.
Diagram: Probability tree diagram. Spinner A: lands on 2 a gap, does not land on 2 a gap. Spinner B after lands on 2: lands on 2 a gap, does not land on 2 a gap; after does not land on 2: lands on 2 a gap, does not land on 2 a gap.
(2 marks)
(b)
Work out the probability that Spinner A lands on 2 and Spinner B does not land on 2
(2 marks)
Question 28 (3 marks)
(a)
Diagram: A grid with the lines 5x – 9y = –46 and y = –2x drawn. They cross at the point (–2, 4).
Use these graphs to solve the simultaneous equations
5x – 9y = -46
y = -2x(1 mark)
(b)
Diagram: The graph of y = x² – 4x + 2 for x from –1.5 to 5.5. It crosses the x-axis at about x = 0.6 and x = 3.4.
Use this graph to find estimates for the solutions of the quadratic equation x² – 4x + 2 = 0
(2 marks)
Question 29 (3 marks)
The diagram shows a solid triangular prism.
Diagram: A triangular prism lying on one of its rectangular faces. Each end is a right-angled triangle with a vertical edge of 6 cm and a base edge of 4 cm. The prism is 10 cm long.
The prism is made from wood with a density of 0.8 g/cm³
Work out the mass of this prism.
(3 marks)
Questions © Pearson Education, recreated by Mr Barton Maths for teaching. Each question is credited to its board, series, paper and number.