Edexcel GCSE Foundation November 2020 Paper 2 (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)
Write 0.37 as a fraction.
(1 mark)
Question 2 (1 mark)
Write 29 381 correct to the nearest 1000
(1 mark)
Question 3 (1 mark)
Simplify 3e – e + 4e
(1 mark)
Question 4 (1 mark)
Write 1/4 as a percentage.
(1 mark)
Question 5 (1 mark)
Here is a list of numbers.
3 4 9 18 27 30 36
From the numbers in the list, write down a cube number.
(1 mark)
Question 6 (3 marks)
Liz is watching a film at the cinema.
The film started at 14 30
The film is 105 minutes long.When the film ends, Liz takes 20 minutes to get to the bus stop.
A bus leaves the bus stop at 16 45
Does Liz get to the bus stop in time to get this bus?
You must show all your working.(3 marks)
Question 7 (2 marks)
Farhad, George and Tom each did a test.
Here are their marks for the test.
Farhad 74 George 77 Tom 72 George drew this bar chart to show the marks they got.
The bar chart is not fully correct.Diagram: A bar chart on a squared grid. The marks up the side are 0, then 71, 72, … up to 78, one square each. Farhad’s bar reaches 74 and is one square wide; George’s bar reaches 77 and is one square wide; Tom’s bar reaches 72 and is two squares wide.
Write down two things that are wrong with George’s bar chart.
(2 marks)
Question 8 (3 marks)
Diagram: A straight line ABC. A line goes up and to the left from B. The angle between this line and BC is 150°, and the angle between it and BA is marked x.
ABC is a straight line.
(a)(i)
Work out the size of the angle marked x.
(1 mark)
(ii)
Give a reason for your answer.
(1 mark)
(b)
The diagram below is wrong.
Diagram: Two lines meet at a point: one goes straight up and one goes straight left. The angle between them is marked as a right angle. The angle the other way round is labelled 280°.
Explain why.
(1 mark)
Question 9 (4 marks)
This scale can be used to change between kilometres and miles.
Diagram: A scale: one straight line with miles marked above it from 0 to 50 every 10 miles, and kilometres marked below it from 0 to 80 every 10 kilometres. 0 miles is at 0 kilometres and 50 miles is at 80 kilometres.
(a)
Use the scale to change 40 kilometres to miles.
(1 mark)
(b)
Here is an approximate rule to change from kilometres to miles.
Divide the distance in kilometres by 10 and then multiply by 6 Use this approximate rule to change 40 kilometres to miles.
(2 marks)
(c)
Compare your answer to part (b) with your answer to part (a).
(1 mark)
Question 10 (2 marks)
(a)
Solve 3m = 36
(1 mark)
(b)
Solve 7 – x = 3
(1 mark)
Question 11 (3 marks)
Here is a cuboid.
Diagram: A cuboid 10 cm by 15 cm by 4 cm.
Work out the volume of the cuboid.
(3 marks)
Question 12 (2 marks)
Lucy uses a code to open a lock.
The code is a letter followed by a 2-digit number.
The letter is L or U.
The number is a prime number between 20 and 30Write down all the possibilities for Lucy’s code.
(2 marks)
Question 13 (3 marks)
A machine fills bags with sweets.
There are 4275 sweets.
There are 28 sweets in each full bag.
The machine fills as many bags as possible.How many sweets are left?
(3 marks)
Question 14 (3 marks)
The table gives information about the number of goals scored by each of three teams.
Team Number of goals City 50 Rovers 45 United 25 Draw an accurate pie chart for this information.
Diagram: A circle with one radius drawn from the centre straight up.
(3 marks)
Question 15 (4 marks)
T = 3x + 4y
(a)
Work out the value of T when x = 5 and y = -7
(2 marks)
(b)
Work out the value of y when T = 38 and x = 6
(2 marks)
Question 16 (4 marks)
An exam has two papers, Paper 1 and Paper 2
Paper 1 has 60 marks.
Paper 2 has 90 marks.The pass mark is 2/3 of the total number of marks.
Danielle gets 70% of the marks for Paper 1
How many of the marks for Paper 2 must Danielle get in order to get the pass mark?
(4 marks)
Question 17 (5 marks)
Scott wants to make orange juice.
He is going to buy boxes of oranges.There are 24 oranges in each box of oranges. 30 oranges make 2 litres of orange juice. Scott needs to buy enough oranges to make 8 litres of orange juice.
(a)
Work out the number of boxes of oranges that Scott needs to buy.
You must show all your working.(3 marks)
(b)
Scott also buys
1260 apples
280 bananasWrite down the ratio of the number of apples that Scott buys to the number of bananas that he buys.
Give your ratio in its simplest form.(2 marks)
Question 18 (2 marks)
Diagram: A coordinate grid with x and y from –6 to 6. Triangle A has corners (–5, 5), (–5, 3) and (–2, 3). Triangle B has corners (3, –3), (3, –5) and (0, –3).
Describe fully the single transformation that maps triangle A onto triangle B.
(2 marks)
Question 19 (2 marks)
Adam, Linda and Rytis share an amount of money.
Linda gets three times as much money as Rytis gets.
Linda gets half as much money as Adam gets.What fraction of the amount of money does Linda get?
(2 marks)
Question 20 (4 marks)
Pens and pencils are sold in a shop.
12 pencils cost £1.80
The ratio of the cost of a pen to the cost of a pencil is 7 : 3
Work out the cost of 5 pens.
(4 marks)
Question 21 (4 marks)
(a)
Write 84 as a product of its prime factors.
(2 marks)
(b)
Find the lowest common multiple (LCM) of 60 and 84
(2 marks)
Question 22 (5 marks)
ℰ = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
A = {even numbers}
B = {factors of 10}(a)
Complete the Venn diagram for this information.
Diagram: Venn diagram with sets A and B. Only A: . Both: . Only B: . Neither: .
(3 marks)
(b)
A number is chosen at random from the universal set, ℰ
Find the probability that this number is in the set A ∩ B
(2 marks)
Question 23 (5 marks)
Carlo puts tins into small boxes and into large boxes.
He puts 6 tins into each small box.
He puts 20 tins into each large box.Carlo puts a total of 3000 tins into the boxes so that
number of tins in small boxes : number of tins in large boxes = 2 : 3
Carlo says that less than 30% of the boxes filled with tins are large boxes.
Is Carlo correct?
You must show all your working.(5 marks)
Question 24 (4 marks)
(a)
Complete the table of values for y = 5 – x³
x –2 –1 0 1 2 y 6 (2 marks)
(b)
On the grid below, draw the graph of y = 5 – x³ for values of x from –2 to 2
Diagram: A blank grid with x from –2 to 2 and y from –6 to 14.
(2 marks)
Question 25 (2 marks)
Diagram: A right-angled triangle. The bottom side is horizontal, with the right angle at its right-hand end. The angle at the left-hand end is 34°. The sloping side is 178 mm. The vertical side is x mm.
Work out the value of x.
Give your answer correct to 1 decimal place.(2 marks)
Question 26 (2 marks)
mathbfa = ( 3 , 4 ) mathbfb = ( 5 , -2 )
Find 2mathbfa – 3mathbfb as a column vector.
(2 marks)
Question 27 (4 marks)
The diagram shows a right-angled triangle and a quarter circle.
Diagram: A right-angled triangle ABC: AB = 6 m along the bottom, a right angle at B, C straight above B, and AC = 9 m. A quarter circle with centre C goes from B round to D, where CD is horizontal and the angle BCD is a right angle.
The right-angled triangle ABC has angle ABC = 90°
The quarter circle has centre C and radius CB.Work out the area of the quarter circle.
Give your answer correct to 3 significant figures.
You must show all your working.(4 marks)
Question 28 (2 marks)
Each exterior angle of a regular polygon is 15°
Work out the number of sides of the polygon.
(2 marks)
Question 29 (1 mark)
Write down the gradient of the line with equation y = 2x + 3
(1 mark)
Questions © Pearson Education, recreated by Mr Barton Maths for teaching. Each question is credited to its board, series, paper and number.