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AQA GCSE Foundation November 2024 Paper 2 (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 (3 marks)
(a)
A linear sequence starts
4 7 10 13
Write down the next number in this sequence.
(1 mark)
(b)
A different linear sequence starts
19 14 9 4
Write down the next number in this sequence.
(1 mark)
(c)
Here is another sequence.
3 6 12 24
Write down the term-to-term rule for this sequence.
(1 mark)
Question 2 (3 marks)
Here is a price list.
Soap £2.00 Candle £4.55 Lip scrub £1.75 Body cream £3.80 (a)
Work out the cost of three candles.
(1 mark)
(b)
Sal has £7.50
He wants to buy one soap and one body cream.
Does he have enough money to also buy one lip scrub?Tick a box.
Yes square No square Show working to support your answer.
(2 marks)
Question 3 (4 marks)
(a)
Solve 5x = 30
(1 mark)
(b)
Solve -2 + y = 10
(1 mark)
(c)
Simplify fully 20w/4w
(2 marks)
Question 4 (3 marks)
Points A, B and C are plotted on a grid.
Diagram: A grid with x from –3 to 8 and y from –3 to 5. Crosses are marked at A at (2, 4), B at (–2, 1), C at (2, –2).
(a)
Write down the coordinates of C.
(1 mark)
(b)
Write down the coordinates of the midpoint of AC.
(1 mark)
(c)
Plot point D on the grid so that ABCD is a rhombus.
(1 mark)
Question 5 (3 marks)
Here are five numbers.
14.2 15.1 16.5 16.7 18.0
(a)
Work out the range.
(1 mark)
(b)
Work out the mean.
(2 marks)
Question 6 (6 marks)
(a)
AB is a straight line.
Diagram: A straight line AB with a line drawn from a point on it, up and to the right. The angle between this line and the part towards A is 145°. The angle between it and the part towards B is x.
Work out the size of angle x.
(1 mark)
(b)
Diagram: Three lines meet at a point. The angle at the top between two of them is 160°, the angle on the left is 35°, and the angle at the bottom is y.
Work out the size of angle y.
(2 marks)
(c)
Three straight lines intersect as shown.
Diagram: Three straight lines cross each other and make a triangle. At the left corner, an angle of 47° is marked outside the triangle, between the two lines that meet there (above and to the left of the corner). At the bottom corner, the angle inside the triangle is marked 86°.
What type of triangle is made?
You must show your working.(3 marks)
Question 7 (3 marks)
The table shows information about the packs of juice a family has.
Number of packs Number of cartons in a pack 5 8 16 3 The family drinks 4 cartons of juice each day.
In total, how many days will their packs last?
(3 marks)
Question 8 (3 marks)
100 people voted in an election for Jo, Kim or Liam.
The pictogram shows the results for Jo and Kim.Diagram: Pictogram. Key: one circle represents 8 people. Jo: 6 circles. Kim: 4.5 circles. Liam: blank.
Complete the pictogram.
(3 marks)
Question 9 (2 marks)
Callum is making pizza.
He can choose three different toppings from
• ham (H)
• sweetcorn (S)
• onion (O)
• mushrooms (M).List all the possible options for the three toppings.
The first one has been done for you.H S O
(2 marks)
Question 10 (3 marks)
(a)
Write 3/8 as a percentage.
(1 mark)
(b)
Work out 15/32 as a decimal.
Give your answer to 2 decimal places.(2 marks)
Question 11 (3 marks)
Tick one box for each statement.
True May be true Not true If a number is > 0 the number is positive square square square If a number is ≤ 3 the number is 1 square square square If a number is ≥ 5 the smallest possible value of the number is 5 square square square (3 marks)
Question 12 (5 marks)
(a)
Work out the value of x² + 7x when x = -4
(2 marks)
(b)
Rearrange y = w – 1 to make w the subject.
(1 mark)
(c)
Simplify fully 4(a + 2) + a
(2 marks)
Question 13 (2 marks)
The time Shaz takes to run a race is 1 minute 28 seconds less than 2 hours.
Work out her time in hours, minutes and seconds.
(2 marks)
Question 14 (4 marks)
Some people were asked to choose their favourite fruit.
The pie chart shows information about the results.Diagram: A pie chart with four sectors. Banana is a right angle. Other is 78°. Pear is 48°. Apple is the rest of the circle and its angle is not marked.
120 people chose Banana.
How many people chose Apple?
(4 marks)
Question 15 (4 marks)
The graph represents the volume of water in a bath.
The bath is full after 10 minutes.Diagram: A graph of volume of water in litres (0 to 260) against time in minutes (0 to 55). A straight line goes from (0, 0) to (10, 240).
(a)
Work out the rate at which the bath is filled.
State the units of your answer.(2 marks)
(b)
After the bath is full,
the volume of water stays constant for 20 minutes
then
all the water empties out at a constant rate in 12 minutes.Show this information on the graph.
(2 marks)
Question 16 (2 marks)
In the grid below, shade one quarter of the squares
so that the grid has exactly two lines of symmetry.
Shade complete squares only.Diagram: A grid of 4 by 4 squares, none shaded.
(2 marks)
Question 17 (3 marks)
A map has a scale of 1 : 4000
On the map, the distance from a station to a museum is 7 cm
Is the actual distance from the station to the museum more than 300 m?
Tick a box.
Yes square No square Show working to support your answer.
(3 marks)
Question 18 (1 mark)
X is inversely proportional to Y.
Circle the correct statement.
X is directly proportional to Y X is directly proportional to 1/Y X is directly proportional to 2Y X is directly proportional to √Y (1 mark)
Question 19 (2 marks)
Here is a right-angled triangle.
Diagram: A right-angled triangle with the right angle at the bottom left. The side going up is x cm, the side along the bottom is 1.5 cm and the sloping side is 1.7 cm.
Use Pythagoras’ theorem to show that x = 0.8
(2 marks)
Question 20 (3 marks)
Beth and Lynn each spin the same biased coin a number of times.
The table shows information about the results.Beth Lynn Number of spins 125 80 Relative frequency of Heads 0.32 0.35 (a)
How many more Heads did Beth spin than Lynn?
(2 marks)
(b)
Lynn says,
“My estimate of the probability of the coin landing on Heads must be the best,
because 0.35 is greater than 0.32”Is she correct?
Tick a box.
Yes square No square Give a reason for your answer.
(1 mark)
Question 21 (2 marks)
Some oil has
a mass of 537 g
a density of 895 000 g/m³1 m³ = 1000 litres
Work out the volume of the oil.
Give your answer in litres.(2 marks)
Question 22 (3 marks)
Use trigonometry to work out the value of x.
Diagram: A right-angled triangle with the right angle at the bottom right. The angle at the bottom left is 40°. The sloping side is 21 cm. The side going up on the right is x.
(3 marks)
Question 23 (2 marks)
The length of a wall is 9 metres to the nearest metre.
Complete the error interval for the length of the wall.(2 marks)
Question 24 (3 marks)
384 000 electric cars were sold this year.
This is 20% more than last year.How many were sold last year?
(3 marks)
Question 25 (3 marks)
Here are three terms.
xy x² 5y²
Alec multiplies two of these terms.
Work out the three possible fully simplified answers.(3 marks)
Question 26 (5 marks)
Here is a rectangle.
All measurements are in centimetres.Diagram: Rectangle ABCD with A at the top left, B at the bottom left, C at the bottom right and D at the top right. Side AB is labelled 4x + 1 and side DC is labelled 2x + 17.
AB : BC = 1 : 3
Work out the value of the area.
(5 marks)
Questions © AQA, recreated by Mr Barton Maths for teaching. Each question is credited to its board, series, paper and number.