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AQA GCSE Foundation November 2024 Paper 1 (non-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 (3 marks)
(a)
Write down the value of √49
(1 mark)
(b)
Work out the value of 3³
(1 mark)
(c)
Write 10 000 as a power of 10
(1 mark)
Question 2 (2 marks)
1 pound = 16 ounces
Work out the number of ounces in 3 pounds.
(2 marks)
Question 3 (2 marks)
(a)
Write 3/2 as a mixed number.
(1 mark)
(b)
Work out 1/5 + 1/5
(1 mark)
Question 4 (3 marks)
(a)
Write down all the factors of 20
(2 marks)
(b)
Mica says,
“When two multiples of 5 are added, the answer is always a multiple of 10”
Give one example to show that he is wrong.
(1 mark)
Question 5 (2 marks)
Put these values in order of size, starting with the smallest.
80% 0.7 3/4
(2 marks)
Question 6 (4 marks)
Sally buys two hats and three scarves.
The total cost is £28.50
Each hat costs £4.50Work out the cost of each scarf.
(4 marks)
Question 7 (6 marks)
120 people visit a maze.
80 are children, the rest are adults.At the start of the maze you can turn left or right.
45 children turn left.
75 people in total turn left.(a)
Complete the frequency tree.
Diagram: A frequency tree with three columns headed People, Children or adults, Turn left or right. 120 on the left branches into Children and Adults, and each of those branches into Left and Right. The other ovals are empty.
(4 marks)
(b)
What fraction of the children turn left?
Give your answer in its simplest form.(2 marks)
Question 8 (3 marks)
The table shows information about where students prefer to revise.
Library Home In class 30 68 37 Ed draws this bar chart to represent the data.
Diagram: A bar chart titled Where students prefer to revise, drawn on a grid of small squares, with no labels on either axis. The vertical axis is numbered 0 to 70 in steps of 10, each small square being 2. Library: a bar 1 big squares wide, up to 30. Home: a bar 1 big squares wide, up to 66. In class: a bar 1.5 big squares wide, up to 37.
Write down three mistakes he has made.
(3 marks)
Question 9 (6 marks)
A number is picked at random from the first three positive odd numbers.
A number is picked at random from the first four prime numbers.
The two numbers are multiplied to get a score.(a)
Complete the table.
× 2 3 7 1 5 15 (4 marks)
(b)
What is the probability that the score is a square number?
Give your answer as a fraction.(2 marks)
Question 10 (4 marks)
(a)
Simplify fully 8m + 4 – 2m + 7
(2 marks)
(b)
Simplify fully 1/2c × 6d
(2 marks)
Question 11 (4 marks)
Diagram: Two packets. A small packet labelled Crisps, 55p. A large packet labelled Multipack, 6 bags of crisps, with no price.
The multipack costs 10% less than 6 single bags.
Work out the cost of the multipack.
(4 marks)
Question 12 (1 mark)
Write the ratio 6 : 2 in the form n : 1
(1 mark)
Question 13 (2 marks)
x and y are two different positive numbers.
For each statement, tick the correct box.
Always true Sometimes true Never true x + y is positive x – y is negative (2 marks)
Question 14 (3 marks)
(a)
On the grid, draw a shape congruent to triangle A.
Diagram: A squared grid, 10 squares by 10, with triangle A near the top left: a vertical side 3 squares long, and its third corner 3 squares to the right of it and 2 squares below its top.
(1 mark)
(b)
On the grid, enlarge shape B by scale factor 1/3
Diagram: A squared grid, 10 squares by 10, with shape B on the left: a vertical left side 6 squares tall, a bottom side 3 squares long, a vertical right side 3 squares tall, and a sloping top joining the tops of the two vertical sides.
(2 marks)
Question 15 (3 marks)
35 books are either for adults or for children.
number for adults : number for children = 6 : 1 How many more books are for adults than for children?
(3 marks)
Question 16 (2 marks)
This shape is made from a semicircle and a square.
Diagram: A shape made of a square with a semicircle on its left side. The right side of the square is labelled 6 cm.
On the centimetre grid below, make an accurate drawing of the shape.
Diagram: A centimetre squared grid, 14 squares by 14 squares.
(2 marks)
Question 17 (3 marks)
A car travels 4 miles in 5 minutes.
Work out the average speed in miles per hour.
(3 marks)
Question 18 (3 marks)
J (0, 12) and K (5, 10) are points on the straight line JKLM.
Diagram: A pair of axes. A straight line starts at J (0, 12) on the y-axis and goes down to the right through K (5, 10), then L, then M, equally spaced. L and M are not labelled with their coordinates.
JK = KL = LM
Work out the coordinates of M.
(3 marks)
Question 19 (2 marks)
Work out the value of 1.5²
(2 marks)
Question 20 (3 marks)
(a)
Complete this number machine so that y = 4x + 5
Diagram: A number machine. Input x goes into the first box, then the second box, then comes out as output y. First box: empty. Second box: empty.
(1 mark)
(b)
Complete this number machine so that y = 3x – 24
Diagram: A number machine. Input x goes into the first box, then the second box, then comes out as output y. First box: empty. Second box: × 3.
(1 mark)
(c)
Complete this number machine so that y = x
Diagram: A number machine. Input x goes into the first box, then the second box, then comes out as output y. First box: × 6. Second box: empty.
(1 mark)
Question 21 (3 marks)
Each number in a list is increased by 10
Tick one box for each statement.
True False Cannot tell The mode is increased by 10 The median is increased by 10 The range is increased by 10 (3 marks)
Question 22 (3 marks)
(a)
Write the missing term in the geometric progression.
1 4 16 …… 256
(1 mark)
(b)
A Fibonacci-type sequence begins
5 –9
The sequence is continued by adding the previous two terms.
Work out the next two terms.(2 marks)
Question 23 (3 marks)
Here is a solid prism.
Diagram: A solid prism lying on its side. Its cross-section, at the front left, is a hexagon, and the prism runs back to the right. Hidden edges are dashed.
(a)
How many faces does the prism have?
(1 mark)
(b)
The prism has
volume = 3500 cm³
and
length = 20 cmWork out the area of the cross-section of the prism.
(2 marks)
Question 24 (2 marks)
Work out 11/5 – 3/10
Give your answer as a fraction.(2 marks)
Question 25 (1 mark)
Write down the value of sin 90°
(1 mark)
Question 26 (4 marks)
A large circle and a small circle are shown.
The radius of the large circle is 12 cmradius of large circle : radius of small circle = 4 : 1 Diagram: A large circle with a small circle inside it, touching it at the top left. The region inside the large circle and outside the small circle is shaded.
Work out the shaded area.
Give your answer in terms of π(4 marks)
Question 27 (3 marks)
(a)
In this part, assume that each person works at the same rate.
10 people can complete a job in 9 hours.If 15 people work on the same job, how many hours will it take to complete the job?
(2 marks)
(b)
In fact, of the 15 people
6 work at a slower rate
9 work at a faster rate.What does this mean about the number of hours it will take to complete the job?
Tick one box.It is greater than the answer to (a) It is the same as the answer to (a) It is less than the answer to (a) It is not possible to say (1 mark)
Questions © AQA, recreated by Mr Barton Maths for teaching. Each question is credited to its board, series, paper and number.