Edexcel GCSE Foundation November 2022 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 the following numbers in order of size.
Start with the smallest number.–7 7 0 –2 –1
(1 mark)
Question 2 (1 mark)
Write 37% as a fraction.
(1 mark)
Question 3 (1 mark)
Write down the 7th odd number.
(1 mark)
Question 4 (1 mark)
Change 53 centimetres to millimetres.
(1 mark)
Question 5 (1 mark)
Here are four cards.
There is a number on each card.4 7 6 3 Write down the smallest 4-digit even number that can be made using each card only once.
(1 mark)
Question 6 (2 marks)
Here is a quadrilateral ABCD.
Diagram: Quadrilateral ABCD, accurately drawn, with B at the top, A on the left, C on the right and D at the bottom. The angle at D is marked x.
(a)
Measure the length of the side AB.
Give your answer in centimetres.(1 mark)
(b)
Measure the size of the angle marked x.
(1 mark)
Question 7 (4 marks)
Myles writes down the distance readings from his car at the start and end of a journey.
Start of journey 1 2 4 6 8 miles End of journey 1 2 8 4 5 miles Myles knows that the cost of petrol for this journey is 13p per mile.
Work out the total cost of the petrol used for this journey.
Give your answer in pounds.(4 marks)
Question 8 (2 marks)
Safiya wants to hire a van.
She uses this rule to work out the cost of hiring a van for a number of days.Cost = £45 × number of days Safiya is going to hire the van for 7 days.
Work out the cost.
(2 marks)
Question 9 (3 marks)
The table shows information about the number of students who arrived late at school each day one week.
Number of students Monday 9 Tuesday 10 Wednesday 8 Thursday 6 Friday 3 On the grid, draw a bar chart for this information.
Diagram: A graph.
(3 marks)
Question 10 (5 marks)
Here is part of a bus timetable between Wigan and Bolton.
Wigan 07 20 07 40 07 55 Blackrod 07 49 08 09 08 24 Horwich 08 00 08 14 08 20 08 29 08 36 Lostock 08 09 08 20 08 29 08 37 08 44 Park Road 08 14 08 34 08 41 08 48 08 58 Bolton 08 32 08 51 08 58 09 05 09 15 (a)
How many minutes should the 07 20 bus take to go from Wigan to Lostock?
(2 marks)
(b)
Alison goes from Blackrod to Bolton by bus.
One day Alison leaves her house at 08 00
She takes 7 minutes to walk to the bus stop in Blackrod.
She takes 15 minutes to walk from the bus stop in Bolton to work.
Alison needs to be at work for 09 20Will Alison get to work for 09 20?
You must show how you get your answer.(3 marks)
Question 11 (4 marks)
214 people go on a school trip.
The people on the trip are either adults or children.
There are 14 adults on the trip.
35% of the children on the trip are wearing a hat.Find the number of children on the trip who are not wearing a hat.
(4 marks)
Question 12 (4 marks)
(a)
Work out 5/8 of 132
(2 marks)
(b)
Write the following fractions in order of size.
Start with the smallest fraction.3/8 9/32 1/4 21/64
(2 marks)
Question 13 (4 marks)
A shop has two different special offers on milk.
MILK 2 pints MILK 4 pints 75p £1.28 Pay for 2 bottles
get 1 bottle freePay for 1 bottle
get 1 bottle half priceWhich offer gives the better value for money?
You must show how you get your answer.(4 marks)
Question 14 (7 marks)
(a)
Simplify 4c + 7d + 3c – d
(2 marks)
(b)
Solve 5(2m – 6) = 40
(3 marks)
(c)
There are x sweets in a box.
There are y sweets in a packet.Write an expression, in terms of x and y, for the total number of sweets in 3 boxes and 2 packets.
(2 marks)
Question 15 (5 marks)
Hetvi asked her friends how many stickers they each have in their collection.
Here are her results.77 86 94 87 71 98
74 103 71 85 82 84
97 91 88 89 75(a)
Show this information in a stem and leaf diagram.
Diagram: An empty stem and leaf frame with four rows, and an empty box headed Key.
(3 marks)
(b)
Find the median number of stickers.
(2 marks)
Question 16 (3 marks)
Water flows through each of the pipes that fill a lake at the same rate.
It takes 4 of the pipes 12 hours to fill the lake.Work out how many hours it would take 6 pipes to fill 1/4 of the lake.
(3 marks)
Question 17 (3 marks)
The table shows information about the heights of 80 teenagers.
Height (h cm) Frequency 150 < h ≤ 160 8 160 < h ≤ 170 14 170 < h ≤ 180 24 180 < h ≤ 190 30 190 < h ≤ 200 4 Work out an estimate for the mean height of the teenagers.
(3 marks)
Question 18 (4 marks)
The scatter graph shows information about the amount of rainfall, in mm, and the number of hours of sunshine for each of ten English towns on the same day.
Diagram: A scatter graph of the number of hours of sunshine against the amount of rainfall (mm) for ten towns. Most crosses go down from top left to bottom right; one cross, at (2, 1), is well below the others.
One of the points is an outlier.
(a)
Write down the coordinates of this point.
(1 mark)
(b)
Ignoring the outlier, describe the relationship between the amount of rainfall and the number of hours of sunshine.
(1 mark)
(c)
On the same day in another English town there were 7 hours of sunshine.
Using the scatter graph, estimate the amount of rainfall in this town on this day.
(2 marks)
Question 19 (2 marks)
The front elevation and the plan of a solid are shown on the grid.
On the grid, draw the side elevation of the solid from the direction of the arrow.
Diagram: A centimetre grid. The front elevation is 7 squares wide: its left edge is 5 squares high, the top slopes down to 2 squares high 4 squares along, steps up to 3, then slopes down to 1 square high at the right edge. Under it, the plan is a 7 by 3 rectangle with a line across it 4 squares from the left. An arrow on the right points left at the front elevation.
(2 marks)
Question 20 (4 marks)
Here are the first five terms of an arithmetic sequence.
7 13 19 25 31
(a)
Find an expression, in terms of n, for the nth term of this sequence.
(2 marks)
(b)
The nth term of a different sequence is 8 – 6n
Is -58 a term of this sequence?
You must show how you get your answer.(2 marks)
Question 21 (5 marks)
The diagram shows a plan of Jason’s garden.
ABCO and DEFO are rectangles.
CDO is a right-angled triangle.
AFO is a sector of a circle with centre O and angle AOF = 90°Diagram: Jason’s garden: rectangle ABCO at the top right, 11 m by 7 m; rectangle DEFO at the bottom left, 7 m by 9 m; right-angled triangle CDO between them; and a quarter circle AFO at the top left, centre O.
Jason is going to cover his garden with grass seed.
Each bag of grass seed covers 14 m² of garden.
Each bag of grass seed costs £10.95Work out how much it will cost Jason to buy all the bags of grass seed he needs.
(5 marks)
Question 22 (2 marks)
Diagram: A right-angled triangle with the right angle at the top right. The hypotenuse is 14.5 cm. The angle at the bottom vertex is 53°. The vertical side, between the right angle and the 53° angle, is x cm.
Work out the value of x.
Give your answer correct to 3 significant figures.(2 marks)
Question 23 (3 marks)
Ella invests £7000 for 2 years in an account paying compound interest.
In the first year, the rate of interest is 3%
In the second year, the rate of interest is 1.5%Work out the value of Ella’s investment at the end of 2 years.
(3 marks)
Question 24 (4 marks)
Here is the graph of y = x² – 6x + 4
Diagram: The graph of y = x squared minus 6x plus 4, for x from –1 to 7: a U-shaped curve crossing the y-axis at 4, with its lowest point at (3, –5).
(a)
Write down the y intercept of the graph of y = x² – 6x + 4
(1 mark)
(b)
Write down the coordinates of the turning point of the graph of y = x² – 6x + 4
(1 mark)
(c)
Use the graph to find estimates for the roots of x² – 6x + 4 = 0
(2 marks)
Question 25 (3 marks)
(a)
Find the value of the reciprocal of 0.8
(1 mark)
(b)
x = 4700 correct to 2 significant figures.
Complete the error interval for x.
……… ≤ x < ………
(2 marks)
Question 26 (2 marks)
The population of a town increased by 9% between 2018 and 2019
The population in 2019 was 165 680Calculate the population in 2018
(2 marks)
Questions © Pearson Education, recreated by Mr Barton Maths for teaching. Each question is credited to its board, series, paper and number.