Edexcel GCSE Foundation November 2023 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)
Write 35% as a decimal.
(1 mark)
Question 2 (1 mark)
Write 8061 correct to the nearest hundred.
(1 mark)
Question 3 (1 mark)
Write down a number that is less than –5
(1 mark)
Question 4 (1 mark)
Here is a grid of squares.
Diagram: A grid of squares 7 wide and 3 high. The two left-hand columns are shaded.
What fraction of the grid is shaded?
(1 mark)
Question 5 (1 mark)
Write down the value of the 9 in the number 27.963
(1 mark)
Question 6 (4 marks)
The pictogram shows information about the number of chocolate cakes, vanilla cakes
and lemon cakes sold by Year 7 at a school fair.Diagram: Pictogram. Key: one circle (divided into quarters) represents 12 cakes. Chocolate: 5 circles. Vanilla: 3.25 circles. Lemon: 1.5 circles. Banana: blank.
24 banana cakes were sold by Year 7
(a)
Use this information to complete the pictogram.
(1 mark)
(b)
At the fair, Year 8 sold a total of 150 cakes.
Which Year sold most cakes at the fair, Year 7 or Year 8?
You must show how you get your answer.(3 marks)
Question 7 (3 marks)
Miklos is swimming lengths of a swimming pool.
Each length of the pool is 25 m.
Miklos has swum 178 lengths of the pool.He wants to swim a total distance of 8050 m.
Calculate how many more lengths Miklos needs to swim.
(3 marks)
Question 8 (4 marks)
Here are the first four terms of a number sequence.
97 91 85 79
(a)
Explain how to work out the next number of the sequence.
(1 mark)
(b)
Work out the difference between the 5th term and the 7th term of the sequence.
(2 marks)
(c)
Explain why 52 is not a number in this sequence.
(1 mark)
Question 9 (5 marks)
Mandy buys a 12 kilogram bag of dog food.
Mandy’s dog has 3 meals a day.
She gives her dog 105 grams of dog food for each of these meals.How many complete weeks will the bag of dog food last?
You must show all your working.(5 marks)
Question 10 (3 marks)
(a)
Here is a polygon.
Diagram: A regular polygon with 5 sides.
Write down the mathematical name of this polygon.
(1 mark)
(b)
Here is a prism.
Diagram: A prism whose two ends are pentagons, with hidden edges dashed. All its edges are the same length.
Each edge of the prism has a length of 7.5 cm.
Work out the total length of the edges of the prism.
(2 marks)
Question 11 (2 marks)
There are only red counters, blue counters and green counters in a bag.
number of red counters : number of blue counters : number of green counters = 2 : 16 : 7
What fraction of the counters in the bag are green counters?
(2 marks)
Question 12 (2 marks)
A chess match lasted 31/4 hours.
The match finished at 14 10
At what time did the chess match start?
(2 marks)
Question 13 (2 marks)
(a)
Simplify 8h³ + 14h³ – 2h³
(1 mark)
(b)
Simplify (9y + 12y) ÷ 3
(1 mark)
Question 14 (2 marks)
Write the following numbers in order of size.
Start with the smallest number.7/12 0.56 57% 6/11 0.558
(2 marks)
Question 15 (5 marks)
A travel agent sold 100 holidays in April.
Each of these holidays was in the UK or was abroad.64 of the 100 holidays were sold to families.
The rest of the holidays were sold to couples.11 of the 18 holidays abroad were sold to couples.
(a)
Use this information to complete the frequency tree.
Diagram: A frequency tree: 100 at the start, branching into families and couples, then each branching into UK and abroad.
(3 marks)
(b)
One of the holidays sold to a family is chosen at random.
Find the probability that this holiday was not abroad.
(2 marks)
Question 16 (2 marks)
Solve x/7 + 9 = 4
(2 marks)
Question 17 (3 marks)
Blake works 32 hours a week in the UK.
She is paid £473.28 per week.Blake applies for a job in Australia.
The rate of pay is 26.40 Australian dollars per hour.£1 = 1.796 Australian dollars
Blake thinks the rate of pay in Australia is greater than the rate of pay in the UK.
Is Blake correct?
You must show how you get your answer.(3 marks)
Question 18 (5 marks)
Here is a shape made from a rectangle and a triangle.
Diagram: A rectangle 14 cm long and w cm wide, with an isosceles triangle on its top side. The triangle starts 3.8 cm from the left-hand end of the rectangle, and its height is 6 cm.
The shape has exactly one line of symmetry.
The area of the rectangle is 3.5 times the area of the triangle.
The width of the rectangle is w cm.Work out the value of w.
You must show all your working.(5 marks)
Question 19 (3 marks)
The front elevation of a cuboid is shown on the centimetre grid below.
Diagram: A centimetre grid with a shaded rectangle 8 squares wide and 4 squares high: the front elevation.
The volume of the cuboid is 224 cm³
On the grid, draw the plan of the cuboid.
(3 marks)
Question 20 (2 marks)
(a)
Write 468 000 in standard form.
(1 mark)
(b)
Write 5.037 × 10⁻⁴ as an ordinary number.
(1 mark)
Question 21 (2 marks)
Here is a biased spinner.
Diagram: A spinner shaped like a parallelogram, split by its diagonals into four triangles labelled D, C, B, A, with a pointer at the centre.
The table shows the probabilities that when the spinner is spun it will land on A, on B,
on C and on D.Letter Probability A 0.4 B 0.21 C 0.32 D 0.07 Luka will spin the spinner 200 times.
Work out an estimate for the number of times the spinner will land on A.
(2 marks)
Question 22 (4 marks)
Seija works at a weather station.
The table gives information about the temperature, T °C, at midday for each of 50 cities
in the UK on Tuesday.Temperature (T °C) Frequency 10 < T ≤ 15 2 15 < T ≤ 20 8 20 < T ≤ 25 13 25 < T ≤ 30 21 30 < T ≤ 35 6 (a)
Calculate an estimate for the mean temperature.
(3 marks)
(b)
Seija says,
“The median temperature is 22.5 °C because 22.5 is the middle number in the
middle group.”Is Seija correct?
Give a reason for your answer.(1 mark)
Question 23 (4 marks)
(a)
Jenna is asked to show the inequality -3 < x ≤ 4 on a number line.
Here is her answer.
Diagram: A number line for x from -5 to 5, with an open circle at -2, an open circle at 4 and a line between them, drawn just above the number line.
Write down two mistakes Jenna has made.
(2 marks)
(b)
Work out the greatest integer that satisfies the inequality
5y – 7 < 16
(2 marks)
Question 24 (3 marks)
Ali buys packs of balloons and boxes of pencils.
There are 30 balloons in each pack.
There are 24 pencils in each box.Ali buys exactly the same number of balloons and pencils.
Work out how many packs of balloons and how many boxes of pencils she could
have bought.
You must show all your working.(3 marks)
Question 25 (2 marks)
A company orders a large number of plates from a factory.
It would take 30 hours to make all the plates using 4 machines.
How many machines are needed to make all the plates in 6 hours?
(2 marks)
Question 26 (3 marks)
Riley travelled by car and by aeroplane.
He travelled 143 miles by car at an average speed of 55 miles per hour.
Riley then travelled for 5 hours and 20 minutes by aeroplane.Work out, in hours and minutes, Riley’s total travelling time.
(3 marks)
Question 27 (3 marks)
The diagram shows a solid cube placed on a horizontal table.
Diagram: A solid cube, with its hidden edges dashed.
pressure = dfracforcearea The pressure on the table due to the cube is 3.5 newtons/cm²
The force exerted by the cube on the table is 504 newtons.Show that the total surface area of the cube is less than 900 cm²
(3 marks)
Question 28 (3 marks)
The line L is shown on the grid.
Diagram: A straight line L on a grid, x from –2 to 4 and y from –3 to 5. It goes from (–1, 5) down to (3, –3), crossing the y-axis at 3.
Find an equation for L.
(3 marks)
Question 29 (4 marks)
A, B, C and D are points on a circle such that ABCD is a square.
Diagram: A square ABCD drawn inside a circle, with its four corners A, B, C and D on the circle. The four pieces between the square and the circle are shaded.
The square ABCD has sides of length 3.5 cm.
Calculate the circumference of the circle.
Give your answer correct to 1 decimal place.
You must show all your working.(4 marks)
Questions © Pearson Education, recreated by Mr Barton Maths for teaching. Each question is credited to its board, series, paper and number.