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AQA GCSE Maths Higher Tier Paper 3 Calculator
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AQA Higher Tier Exam-style past paper with complete mark schemes, hints, AI assistance and detailed explanations. This paper is from the November 2024 series.
32
Questions
Hard
Difficulty
48%
Pass mark
Difficulty breakdown
Easy(9)
Medium(16)
Hard(5)
Topics covered
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Q01Easy2 marks
Work out the reciprocal of 10/3. Give your answer as a decimal.
Q02.1Easy2 marks
The table shows information about the number of houses with solar panels in a town. Complete the graph.
Q02.2Easy1 mark
Use the graph to estimate the number of houses with solar panels in 2023.
Q03.1Medium2 marks
A building in the shape of a cylinder has diameter 40 m and height 55 m. On the centimetre grid, draw a plan of the building. Use a scale of 1 cm to 10 m.
Q03.2Medium2 marks
On this centimetre grid, draw the front elevation of the building. Use a scale of 1 cm to 10 m.
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All questions (30)
Free to browse · no sign-up requiredQ01Work out the reciprocal of 10/3. Give your answer as a decimal.EasyQ02.1The table shows information about the number of houses with solar panels in a town. Complete the graph.EasyQ02.2Use the graph to estimate the number of houses with solar panels in 2023.EasyQ03.1A building in the shape of a cylinder has diameter 40 m and height 55 m. On the centimetre grid, draw a plan of the b...MediumQ03.2On this centimetre grid, draw the front elevation of the building. Use a scale of 1 cm to 10 m.MediumQ04To the nearest pound, Rosie has £12. She wants to buy 6 drinks. Each drink costs £1.89. Show that Rosie definitely ha...MediumQ05The total cost of a taxi ride is calculated by adding a fixed charge of £4 and a charge of £2 per mile. Write a formu...EasyQ06Three shops sell shirts. At which shop is it cheapest to buy 6 shirts? Show working to support your answer.
Shop A: P...MediumQ07.1At a school there are 912 students. The ratio of students to teachers is 15.2 : 1. The number of students stays the s...MediumQ07.2On a school trip, one teacher is needed for every group of 10 or fewer students. 72 students want to go on the trip. ...EasyQ08A triangle is drawn using the lines y = x, x = -2, and y = 4. Work out the coordinates of the three vertices of the t...MediumQ09When x is divided by 2 the remainder is 1.
When x is divided by 3 the remainder is 1.
When x is divided by 4 the rema...MediumQ10A car will travel 60 miles. Draw a graph to show the average speed of the car for times taken between 1 hour and 6 ho...MediumQ11Factorise fully 12t + 4t³EasyQ12The population of a country is now 67,200,000.
The population is predicted to:
- increase by 1% per year for 6 years
...MediumQ13A bag contains one £5 note, one £10 note, one £20 note and one £50 note. Amaan picks two of the notes at random witho...MediumQ14.1A test consists of two sections, A and B.
- 85% of people pass section A.
- 78% of people who pass section A also pas...EasyQ14.240% of people who fail at least one section take the test again. 5000 people take the test. How many of these 5000 pe...HardQ15.1This question is about what happens to the value of y when the value of x is doubled in different equations.
For the ...EasyQ15.2For the equation y = 10/x, what happens to the value of y when x is doubled?EasyQ15.3For the equation y = 3x², what happens to the value of y when x is doubled?MediumQ16Rearrange y = √( (x/2) + 1 ) to make x the subject.MediumQ17A stone falls vertically from 300 metres above ground.
- The stone falls d metres in t seconds.
- d is directly propo...HardQ18The table shows information about the height of 40 plants. Draw a histogram to represent the heights.
| Height, h cm ...HardQ19Use the sine rule to work out length x. You must show your working.MediumQ20Factorise fully 3x² + 23x + 30MediumQ21A bag contains 25 discs. 11 are red, 9 are blue and 5 are yellow. Ashley picks three of the discs at random without r...MediumQ22The metal used to make a sphere costs £4320. The metal costs £3.60 per gram. Each cubic centimetre of metal has a mas...HardQ23The distance of a particle from a point is d metres after t seconds. The relationship is given by d = a × bᵗ where a ...MediumQ24A curve has the equation y = x² + 4x - 4.
A straight line has the equation y = 3x - 2.
Work out the two points of int...Hard