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AQA GCSE Foundation November 2024 Paper 3 (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 (2 marks)
(a)
Work out 1/4 of 780
(1 mark)
(b)
Work out the value of 19²
(1 mark)
Question 2 (1 mark)
Simplify fully y + y + y
(1 mark)
Question 3 (4 marks)
(a)
3 apples cost 96p
Work out the cost, in pounds (£), of 12 of these apples.
(2 marks)
(b)
In total, the cost of 40 cartons of apple juice and 20 cartons of orange juice is £21.50
Work out the cost of
4 cartons of apple juice and 2 cartons of orange juice.(2 marks)
Question 4 (4 marks)
(a)
Write these numbers in order of size.
Start with the smallest number.2 1.8 –1 0
(2 marks)
(b)
Write these numbers in order of size.
Start with the smallest number.1/2 31/10 1/4 7/8
(2 marks)
Question 5 (4 marks)
The composite bar chart shows some information about how Calum travelled to school.
Diagram: A composite bar chart of the number of days, with a grid line every day. Each bar has cycle (shaded blue) at the bottom and walk (grey) on top. January: cycle 15 days (from 0 to 15), walk 4 days (from 15 to 19). February: cycle 12 days (from 0 to 12), walk 6 days (from 12 to 18). March: cycle 12 days (from 0 to 12), walk 9 days (from 12 to 21). April: cycle 3 days (from 0 to 3), walk 7 days (from 3 to 10). There is no bar for May.
Key
Diagram: Key: a grey box for walk and a blue box for cycle.
(a)
In January, how many days did he walk to school?
(1 mark)
(b)
In which month did he cycle on twice as many days as he walked?
(1 mark)
(c)
In May, Calum went to school on 20 days.
He cycled on 1/4 of the days.
He walked on the other days.Show this information on the bar chart.
(2 marks)
Question 6 (1 mark)
Paul leaves home at 7.15 am
He travels to work in 20 minutes.
Does Paul arrive at work by 7.30 am?
Tick a boxYes square No square Give a reason for your answer.
(1 mark)
Question 7 (2 marks)
Tyler has £20
A notepad costs £1.30Work out the greatest number of notepads he can buy.
(2 marks)
Question 8 (2 marks)
Here is a number machine.
Diagram: Number machine: input, then × 2, then + 3, then output.
(a)
Work out the output when the input is 10
(1 mark)
(b)
Work out the input when the output is 17
(1 mark)
Question 9 (3 marks)
A loaf of bread has
14 slices each 12 mm thick
and
2 crusts each 15 mm thick.Diagram: A loaf of bread seen from the side: a crust at each end and 14 slices between them. A double-headed arrow under the loaf runs its whole length.
Work out the total length of the loaf of bread.
Give your answer in centimetres.(3 marks)
Question 10 (4 marks)
(a)
Solve c/3 = 15
(1 mark)
(b)
Solve 4(2d – 5) = 28
(3 marks)
Question 11 (6 marks)
Here is a diagram.
Diagram: A chain of arrows: a circle with 4, to a box with + 5, to a circle with 9, to a box with + 3, to a circle with 12.
(a)
Complete this diagram.
Diagram: A chain of arrows: a circle with 15, to a box with + 6.5, to an empty circle, to a box with + 8, to an empty circle.
(1 mark)
(b)
Complete this diagram.
Diagram: A chain of arrows: a circle with 5, to an empty box, to an empty circle, to a box with + 11, to a circle with 25.
(2 marks)
(c)
Diagram: A chain of arrows: a circle with a, to a box with + 3a, to a circle with 28, to a box with + 2a, to a circle with b.
Work out the value of b.
(3 marks)
Question 12 (2 marks)
Here are some numbers.
12 8 6 11 2 7 7 18 10
Work out the median.
(2 marks)
Question 13 (3 marks)
(a)
Here is a pattern of squares on a grid.
Diagram: A 7 by 7 grid of squares with 13 squares shaded: in row 3 from the top, columns 2, 3, 4, 5, 6; in row 4 from the top, columns 3, 4, 5; in row 5 from the top, columns 2, 3, 4, 5, 6.
Draw the two lines of symmetry on the pattern.
(2 marks)
(b)
Here is the pattern again.
Diagram: A 7 by 7 grid of squares with 13 squares shaded: in row 3 from the top, columns 2, 3, 4, 5, 6; in row 4 from the top, columns 3, 4, 5; in row 5 from the top, columns 2, 3, 4, 5, 6.
Shade four more squares so that the pattern has rotational symmetry of order 4
(1 mark)
Question 14 (4 marks)
The Venn diagram shows information about people who work in a gym.
T = people who can work as a trainer.
R = people who can work in reception.Diagram: Venn diagram with sets T and R. Only T: 17. Both: 3. Only R: 12. Neither: 5.
(a)
How many people can work as a trainer and in reception?
(1 mark)
(b)
How many people can work in reception but not as a trainer?
(1 mark)
(c)
What fraction of all the people can work as a trainer?
(2 marks)
Question 15 (3 marks)
To get to college, 120 students either walk, cycle or travel by car.
3/8 of the students walk.
students who cycle : students who travel by car = 1 : 2How many students travel by car?
(3 marks)
Question 16 (3 marks)
The original value of a car is £8600
The value of the car decreases by
15% in the first year
then
10% in the second year.Work out the value of the car after these two years.
(3 marks)
Question 17 (3 marks)
Match the algebra to the correct description.
One has been done for you (the third box of algebra is joined to Formula).Diagram: On the left, five boxes of algebra, top to bottom: 5x + 10 = 2x + 4; 3(b + 2c) 3b + 6c; A = 4r + 6t; 3L + 8M; 20 7y + 13. On the right, five descriptions: Identity, Equation, Inequality, Formula, Expression. A line joins A = 4r + 6t to Formula.
(3 marks)
Question 18 (3 marks)
Sunil has £25 to spend on game downloads.
He downloads 5 games, each costing £3.40
What percentage of the £25 does he spend?
(3 marks)
Question 19 (3 marks)
The table shows information about the number of houses with solar panels in a town.
Year 2017 2018 2019 2020 2021 2022 Number of houses 50 65 115 210 275 350 (a)
Diagram: A graph of the number of houses against the year, with a grid line every 10 houses. Crosses at 2017: 50, 2018: 65, 2019: 115, joined with straight lines.
Complete the graph.
(2 marks)
(b)
Use the graph to estimate the number of houses with solar panels in 2023
(1 mark)
Question 20 (4 marks)
A building in the shape of a cylinder has diameter 40 m and height 55 m
Diagram: A cylinder standing on one end: an arrow across the top marks the diameter, 40 m, and an arrow up the side marks the height, 55 m.
(a)
On the centimetre grid, draw a plan of the building. Use a scale of 1 cm to 10 m
Diagram: A centimetre grid, 8 squares by 8 squares.
(2 marks)
(b)
On this centimetre grid, draw the front elevation of the building. Use a scale of 1 cm to 10 m
Diagram: A centimetre grid, 8 squares by 8 squares.
(2 marks)
Question 21 (4 marks)
These two rectangles have the same area.
Diagram: Rectangle A is 5 cm tall and 8 cm wide. Rectangle B is x cm tall and 10 cm wide.
Work out the ratio perimeter A : perimeter B
(4 marks)
Question 22 (3 marks)
To the nearest pound, Rosie has £12
She wants to buy 6 drinks.
Each drink costs £1.89Show that Rosie definitely has enough money to buy the 6 drinks.
(3 marks)
Question 23 (2 marks)
The total cost of a taxi ride is calculated by adding
a fixed charge of £4
and
a charge of £2 per mile.Write a formula to work out the total cost, £C, of a journey of m miles.
(2 marks)
Question 24 (4 marks)
(a)
At a school
there are 912 students
the ratio of students to teachers is 15.2 : 1The number of students stays the same.
The number of teachers increases by 2Work out the new ratio of students to teachers.
Give your answer in the form n : 1(3 marks)
(b)
On a school trip, one teacher is needed for every group of 10 or fewer students.
72 students want to go on the trip.Lexi tries to work out how many teachers are needed.
72 ÷ 10 = 7.2 7 teachers are needed. What is wrong with her answer?
(1 mark)
Question 25 (4 marks)
A triangle is drawn using the lines
y = x
x = -2
y = 4Diagram: A coordinate grid with x and y from –6 to 6.
Work out the coordinates of the three vertices of the triangle.
(4 marks)
Question 26 (2 marks)
Diagram: A hemisphere with its flat face on top. The radius, from the centre of the flat face to its edge, is 7.5 cm.
Volume of a sphere = 4/3 × π × r³ where r is the radius Ria works out the volume of this hemisphere in terms of π
Here is her work.Volume of a hemisphere = 4/3 × 7.5 × 3 ÷ 2 = 15
Write down two mistakes she has made.
(2 marks)
Questions © AQA, recreated by Mr Barton Maths for teaching. Each question is credited to its board, series, paper and number.