Edexcel GCSE Foundation November 2024 Paper 3 (calculator)
27 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 down the value of the 7 in the number 3721
(1 mark)
Question 2 (1 mark)
Work out 1/6 of 96
(1 mark)
Question 3 (1 mark)
Write down two factors of 16
(1 mark)
Question 4 (1 mark)
Write the following numbers in order.
Start with the lowest number.–3 4 –7 6 0
(1 mark)
Question 5 (1 mark)
Find the value of √2.25
(1 mark)
Question 6 (3 marks)
(a)
Solve x + x + x + x = 20
(1 mark)
(b)
Solve y + 7 = 24
(1 mark)
(c)
Solve w/2 = 4
(1 mark)
Question 7 (2 marks)
Here is a quadrilateral.
(a)
Write down the special name for this quadrilateral.
Diagram: A grid of squares, 9 across and 5 up, with a shaded quadrilateral on it. Its bottom side is 5 squares long and its top side, 3 squares higher, is 2 squares long. The top and bottom sides are parallel; the two slanting sides are not.
(1 mark)
(b)
On the grid below, draw a right-angled triangle.
Diagram: A blank grid of squares, 9 squares across and 6 squares up.
(1 mark)
Question 8 (6 marks)
Nina orders some items from a DIY shop.
Here is her bill.Item Quantity Cost of each item Total Pack of screws 4 £29.99 £119.96 Tin of paint 2 £24.95 £ Wooden plank £7.75 £232.50 Delivery charge £14.95 Total cost £ (a)
Complete all the missing information in the bill.
(3 marks)
(b)
At the beginning of January, Jeff had £892.48 in his bank account.
During January, Jeff
had £4.47 interest added to his account
paid £240 into his account
spent £365.50 from his account.
How much money did Jeff have in his account at the end of January?
(3 marks)
Question 9 (5 marks)
There are 200 people at a party.
2/5 of the people are children.
The rest of the people are adults.35% of the children are vegetarian.
45% of the adults are vegetarian.How many of the people are not vegetarian?
(5 marks)
Question 10 (5 marks)
Here is part of a train timetable between Horwich and Manchester.
Horwich 07 13 07 46 08 14 08 44 09 14 Lostock 07 16 08 17 09 17 Bolton 07 21 07 54 08 22 08 52 09 22 Salford 07 36 08 05 08 36 09 05 09 36 Manchester 07 47 08 15 08 45 09 15 09 45 Barnie has a job interview in Manchester.
Barnie takes 6 minutes to walk from his home to the station in Lostock.
He will take 8 minutes to walk from the station in Manchester to his interview.
Barnie needs to be at the interview no later than 09 00(a)
How long should the 07 46 train from Horwich take to get to Salford?
(1 mark)
(b)(i)
What is the latest time Barnie can leave his house and be on time for
the interview?(3 marks)
(ii)
The time of Barnie’s interview is changed.
Now he has to be at the interview no later than 09 15What effect does the change of time have on the latest time Barnie can leave
his house?(1 mark)
Question 11 (4 marks)
You can use this graph to change between miles and kilometres.
Diagram: A straight-line conversion graph through (0, 0) and (32, 20): kilometres from 0 to 32.5 across, miles from 0 to 20 up.
(a)
Change 10 miles into kilometres.
(1 mark)
(b)
Rob drives 17 miles from Bridlington to Scarborough.
He then drives 50 kilometres from Scarborough to Staithes.What is the total distance Rob drives?
Give your answer in miles.(3 marks)
Question 12 (2 marks)
A shop sells apples and oranges.
There are 6 apples in each pack of apples.
There are 7 oranges in each bag of oranges.The shop sells x packs of apples and y bags of oranges.
Write an expression, in terms of x and y, for the total number of apples and oranges the
shop sells.(2 marks)
Question 13 (4 marks)
The diagram shows a crate and a box.
Diagram: A crate, a cuboid 3 m by 1 m by 1.5 m, and a box, a cuboid 20 cm by 10 cm by 75 cm. The box is drawn larger than it really is.
The crate is 3 m by 1 m by 1.5 m.
The crate is completely filled with boxes.
Each box is 20 cm by 10 cm by 75 cm.Work out the number of boxes in the crate.
(4 marks)
Question 14 (4 marks)
Harry works in a shop.
From Monday to Friday his basic rate of pay is £8 per hour.
On Saturday and Sunday, Harry’s rate of pay is 11/2 times his basic rate of pay.The table shows the number of hours Harry worked each day last week.
Day Mon Tue Wed Thu Fri Sat Sun Hours worked 6 6 6 6 6 4 3 Work out Harry’s total pay last week.
(4 marks)
Question 15 (4 marks)
The table gives information about the ages of the 41 children in Blackrod football club.
Age (years) Frequency 8 6 9 7 10 15 11 11 12 2 (a)
Work out the mean age.
Give your answer correct to 1 decimal place.(3 marks)
(b)
Rohan is working out the modal age of the children in Blackrod football club.
He says,
“The highest frequency is 15, so the modal age is 15”
Is Rohan’s answer correct?
Give a reason for your answer.(1 mark)
Question 16 (4 marks)
(a)
Write 126 as a product of its prime factors.
(2 marks)
(b)
Find the highest common factor (HCF) of 126 and 210
(2 marks)
Question 17 (2 marks)
The table shows information about the times, in minutes, 100 people took to complete a
bike race.Time (t minutes) Frequency 120 ≤ t < 140 12 140 ≤ t < 160 28 160 ≤ t < 180 30 180 ≤ t < 200 22 200 ≤ t < 220 8 On the grid below, draw a frequency polygon for this information.
Diagram: A blank grid. Time (t minutes) from 120 to 220 across, frequency from 0 to 35 up.
(2 marks)
Question 18 (2 marks)
(a)
Write 3.402 × 10⁵ as an ordinary number.
(1 mark)
(b)
Write 0.8026 in standard form.
(1 mark)
Question 19 (2 marks)
Use ruler and compasses to construct the bisector of angle ABC.
You must show your construction lines.Diagram: Two straight lines BA and BC meeting at B, making the angle ABC.
(2 marks)
Question 20 (4 marks)
Dan is playing cards.
The probability that he will win a game of cards is 0.3
Dan plays two games of cards.
(a)
Complete the probability tree diagram.
Diagram: A probability tree diagram for Game 1 and Game 2. Game 1: wins (0.3) or does not win (a blank). After each, Game 2: wins or does not win, with a blank, a blank, a blank, a blank on the four branches.
(2 marks)
(b)
Work out the probability that Dan does not win either game.
(2 marks)
Question 21 (5 marks)
Robyn buys a total of 240 pens and pencils, where
number of pens : number of pencils = 3 : 5
Robyn pays 9p for each pen.
She sells each pen for 11p.Robyn pays 6p for each pencil.
She sells each pencil for 10p.Robyn sells all of the pens and pencils.
Work out Robyn’s percentage profit.
Give your answer correct to 1 decimal place.
You must show all your working.(5 marks)
Question 22 (4 marks)
The stem and leaf diagram shows the test scores of 23 students from School A.
Diagram: Stem and leaf diagram. Stem 3, leaves 0; Stem 4, leaves 1 2 4 4 5 7; Stem 5, leaves 3 4 4 6 7 8 8 9; Stem 6, leaves 0 8 8 9 9; Stem 7, leaves 1 3 9. Key: 3 | 0 represents 30.
23 students from School B did the same test.
Their median score was 56
The range of their scores was 47Compare the distribution of the test scores of the students from School A with the
distribution of the test scores of the students from School B.(4 marks)
Question 23 (2 marks)
Jana used her calculator to find the value of a number t.
The answer on her calculator began 10.2Complete the error interval for t.
……… ≤ t < ………
(2 marks)
Question 24 (2 marks)
ABC is a right-angled triangle.
Diagram: A right-angled triangle ABC. AB goes across the top, the right angle is at B, and BC is 7.6 cm, going straight down from B to C. The angle at C is 62°.
Calculate the length of AB.
Give your answer correct to 1 decimal place.(2 marks)
Question 25 (3 marks)
(a)
Simplify fully 2x³y⁵ × 7x²y
(2 marks)
(b)
Simplify (m²)⁻³
(1 mark)
Question 26 (3 marks)
Peter invests £4500 in a savings account for 3 years.
He gets 1.8% per year compound interest.Work out the total amount of interest Peter gets.
(3 marks)
Question 27 (3 marks)
Line L is drawn on the grid.
Diagram: A straight line L on a grid, x from –4 to 4 and y from –4 to 10. It goes from (–3.5, 10) down to (3.5, –4), crossing the y-axis at 3.
Find an equation for line L.
(3 marks)
Questions © Pearson Education, recreated by Mr Barton Maths for teaching. Each question is credited to its board, series, paper and number.