Edexcel GCSE Foundation November 2024 Paper 2 (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 17% as a fraction.
(1 mark)
Question 2 (1 mark)
Write 140 minutes in hours and minutes.
(1 mark)
Question 3 (1 mark)
Write these numbers in order of size.
Start with the smallest number.0.57 0.507 0.5 0.05
(1 mark)
Question 4 (1 mark)
Write down the mathematical name of this polygon.
Diagram: A polygon with 6 straight sides, all the same length.
(1 mark)
Question 5 (1 mark)
Find the number that is exactly halfway between –2 and 8
(1 mark)
Question 6 (3 marks)
Jo uses beads to make bracelets.
For each bracelet she uses 5 red beads and 7 white beads.Jo has 52 red beads and 80 white beads.
Work out the greatest number of bracelets Jo can make.
You must show all your working.(3 marks)
Question 7 (5 marks)
Here are the ages, in years, of 8 children.
14 10 10 13 15 9 15 10
(a)
Work out the mean age.
(2 marks)
(b)
Work out the range of the ages.
(2 marks)
(c)
One of the children is chosen at random.
On the probability scale below, mark with a cross (×) the probability that this child has an age of 15
Diagram: A probability scale from 0 to 1, with a mark every eighth, labelled 0, one half and 1.
(1 mark)
Question 8 (2 marks)
(a)
Junaid says that 20 is a square number because 10² = 20
Is Junaid correct?
Give a reason for your answer.(1 mark)
(b)
Chloe says,
“When you divide an even number by an even number the answer is always
an even number.”Write down an example to show that Chloe is wrong.
(1 mark)
Question 9 (2 marks)
There are 90 red counters and 150 yellow counters in a bag.
Write down the ratio of the number of red counters to the number of yellow counters.
Give your ratio in its simplest form.(2 marks)
Question 10 (3 marks)
Here is a square.
Diagram: A square.
The square has a perimeter of 40 cm.
Five of these squares are used to make the shape below.
Diagram: A shape made from 5 of the squares joined edge to edge.
Work out the perimeter of this shape.
(3 marks)
Question 11 (3 marks)
(a)
Simplify 2x × 3y
(1 mark)
(b)
Simplify 3d – 4e + 2d + e
(2 marks)
Question 12 (4 marks)
180 tickets are sold for a concert.
60% of the tickets are child tickets.
The rest of the tickets are adult tickets.The total cost of the 180 tickets is £1944
Each child ticket costs £8Work out the cost of each adult ticket.
(4 marks)
Question 13 (4 marks)
ABC is a triangle.
Diagram: Triangle ABC with AC across the bottom and B at the top. The side BC is extended beyond C to D, so BCD is a straight line. The reflex angle at A, outside the triangle, is 310°. The angle ACD, between CA and CD, is 115°.
BCD is a straight line.
Show that triangle ABC is isosceles.
Give a reason for each stage of your working.(4 marks)
Question 14 (3 marks)
Amy walked from her home to the skate park.
The travel graph of Amy’s walk to the skate park is shown below.
Diagram: A travel graph: time across from 1pm to 7pm and a little beyond; distance from home in km up the side, from 0 to 8. A line goes from (1:30pm, 0 km) to (2pm, 3 km) to (2:30pm, 3 km) to (3pm, 5 km).
On the way to the skate park Amy stopped at her friend’s house.
(a)
How far is it from her friend’s house to the skate park?
(1 mark)
(b)
Amy stayed at the skate park for 2 hours.
Then she walked home at a steady speed.
She took 1 hour 30 minutes to walk home.Complete the travel graph.
(2 marks)
Question 15 (3 marks)
A map has a scale of 1 : 25 000
On the map, a road has a length of 14 cm.
Work out the real length of the road.
Give your answer in kilometres.(3 marks)
Question 16 (3 marks)
Aisha has two boxes of sweets, box A and box B.
In box A, there are only 10 red sweets and 30 green sweets.
In box B, there are only 7 red sweets and 18 green sweets.Aisha is going to take at random a sweet from box A and a sweet from box B.
Which box gives Aisha the greater probability of taking a red sweet, box A or box B?
You must show how you get your answer.(3 marks)
Question 17 (6 marks)
(a)
Last year Emma’s car insurance cost £285
This year her car insurance costs 7% less.Work out the cost of Emma’s car insurance this year.
(3 marks)
(b)
Peter sells bikes.
Each month he is paid £1700 plus a bonus.
The bonus is 5% of the total value of the bikes he sells that month.Last month Peter was paid £2100
Work out the total value of the bikes he sold last month.
(3 marks)
Question 18 (2 marks)
Diagram: A grid with x and y from –2 to 7. Triangle A has corners (2, 3), (3, 3), (3, 1). Triangle B has corners (4, 6), (6, 6), (6, 2).
Describe fully the single transformation that maps triangle A onto triangle B.
(2 marks)
Question 19 (4 marks)
(a)
Factorise fully 15w² – 5w
(2 marks)
(b)
On the number line below, show the set of values of x for which -2 < x ≤ 4
Diagram: A number line for x from -4 to 6.
(2 marks)
Question 20 (2 marks)
Use your calculator to work out the value of
√((208.3 – 15.7)/(5.694 + 1.8²))
Write down all the digits on your calculator display.
(2 marks)
Question 21 (3 marks)
The scatter graph shows information about some ships.
It shows the length and the width of each ship.Diagram: A scatter graph of width (m) against length (m) for 13 ships, lengths from 120 to 240 m and widths from 10 to 35 m. The crosses go up from bottom left to top right.
(a)
What type of correlation does this scatter graph show?
(1 mark)
(b)
Draw a line of best fit on the scatter graph.
(1 mark)
(c)
A different ship has a length of 194 metres.
Use your line of best fit to find an estimate for the width of this ship.
(1 mark)
Question 22 (3 marks)
London Zurich Choci bar Choci bar 200 g 360 g £3.50 7.20 Swiss francs In London, a 200 g Choci bar costs £3.50
In Zurich, a 360 g Choci bar costs 7.20 Swiss francs.The exchange rate is £1 = 1.25 Swiss francs.
In which city is the Choci bar the better value for money, in London or in Zurich?
You must show how you get your answer.(3 marks)
Question 23 (2 marks)
ℰ = {odd numbers between 0 and 20}
A = {3, 9, 15, 17}
B = {5, 7, 11, 13, 17, 19}Tom was asked to draw a Venn diagram for this information.
Here is his answer.Diagram: Tom’s Venn diagram: a rectangle for ℰ with two overlapping circles, A and B. Only in A: 3, 9, 15, 17. In both: 17. Only in B: 5, 7, 11, 13, 19. Nothing is written outside the circles.
Write down two things Tom should do to make his answer fully correct.
(2 marks)
Question 24 (4 marks)
(a)
Complete the table of values for y = x² – 2x – 3
x –2 –1 0 1 2 3 4 y 0 –3 (2 marks)
(b)
On the grid, draw the graph of y = x² – 2x – 3 for values of x from –2 to 4
Diagram: A grid with x from –2 to 4 and y from –5 to 6.
(2 marks)
Question 25 (4 marks)
The cost of a first class stamp increased from 76p to 85p.
The cost of a second class stamp increased from 65p to 66p.Filip says,
“The percentage increase in the cost of a first class stamp is more than 7 times
the percentage increase in the cost of a second class stamp.”Is Filip correct?
You must show all your working.(4 marks)
Question 26 (5 marks)
The diagram shows triangle ABC.
Diagram: Triangle ABC with AB across the bottom and C at the top. AC is labelled 2x + 11, BC is labelled 4x – 4 and AB is labelled 2x + 5. AC and BC are marked as equal.
In the diagram, all measurements are in centimetres.
AC = BC
The perimeter of the triangle is 72 cm.
Work out the area of the triangle.
(5 marks)
Question 27 (2 marks)
1.25 × 10⁻¹² = k × (4 × 10⁻²⁰)
Work out the value of k.
Give your answer in standard form.(2 marks)
Question 28 (3 marks)
The diagram shows a solid cylinder with base radius 3 cm and height 10 cm.
Diagram: A solid cylinder standing on one of its circular ends. The radius of the base is labelled 3 cm and the height 10 cm.
The cylinder is made from steel.
It has a mass of 2250 g.Work out the density of the steel.
Give your answer correct to 3 significant figures.(3 marks)
Questions © Pearson Education, recreated by Mr Barton Maths for teaching. Each question is credited to its board, series, paper and number.