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AQA GCSE

AQA GCSE Maths Higher Tier Paper 2 Calculator

33 free questions · No sign-up required to browse

AQA Higher Tier Exam-style past paper with complete mark schemes, hints, AI assistance and detailed explanations.

33
Questions
Hard
Difficulty
48%
Pass mark

Difficulty breakdown

Easy(10)
Medium(12)
Hard(5)

Topics covered

Browse all topics →
AlgebraGeometry and MeasuresNumberProbabilityRatio Proportion and Rates of ChangeStatistics

Sample questions

Q01.1Easy1 mark

Choose a word from the list below to complete the sentence.
<br>
<br>
arc, centre, circumference, diameter, radius, sector, segment, tangent
<br>
<br>
The length of the __________ is double the length of the radius.

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Q01.2Easy1 mark

Choose a word from the list below to complete the sentence.
<br>
<br>
arc, centre, circumference, diameter, radius, sector, segment, tangent
<br>
<br>
A __________ is a region created by drawing a chord through a circle.

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Q01.3Easy1 mark

Choose a word from the list below to complete the sentence.
<br>
<br>
arc, centre, circumference, diameter, radius, sector, segment, tangent
<br>
<br>
A radius meets a __________ at a right angle.

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Q02Medium3 marks

Here is a grouped frequency table.
<br>
<br>
Work out an estimate of the mean value.

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Q03Easy2 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.

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All questions (27)

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Q01.1Choose a word from the list below to complete the sentence. <br> <br> arc, centre, circumference, diamete...EasyQ01.2Choose a word from the list below to complete the sentence. <br> <br> arc, centre, circumference, diamete...EasyQ01.3Choose a word from the list below to complete the sentence. <br> <br> arc, centre, circumference, diamete...EasyQ02Here is a grouped frequency table. <br> <br> Work out an estimate of the mean value.MediumQ03In the grid below, shade one quarter of the squares so that the grid has exactly two lines of symmetry. Shade complet...EasyQ04A map has a scale of 1 : 4000 <br> On the map, the distance from a station to a museum is 7 cm. <br> ...MediumQ05X is inversely proportional to Y. <br> Select the correct statement.EasyQ06Here is a right-angled triangle. <br> <br> Use Pythagoras' theorem to show that x = 0.8EasyQ07.1Beth and Lynn each spin the same biased coin a number of times. The table shows information about the results. <b...MediumQ07.2Lynn says, "My estimate of the probability of the coin landing on Heads must be the best, because 0.35 is greater tha...EasyQ08Some oil has <br> a mass of 537 g <br> a density of 895 000 g/m³ <br> 1 m³ = 1000 litres ...MediumQ09The length of a wall is 9 metres to the nearest metre. <br> Complete the error interval for the length of the...EasyQ10384 000 electric cars were sold this year. <br> This is 20% more than last year. <br> How many were s...MediumQ11Here are three terms. <br> xy, &nbsp; x², &nbsp; 5y² <br> Alec multiplies two of these terms. <br...MediumQ12At a music festival, four types of instrument are played. <br> guitars, keyboards, drums, trumpets <br> ...MediumQ14Here is a sign in a shop. <br> <br> Is the sign correct? Give a reason for your answer.EasyQ16Solve (x + 2)(x - 5) = 6xHardQ17Straight line LM has equation y = 4x - 7 <br> Straight line ST has equation y = (9 - x) / 4 <br> Are ...MediumQ18.1Two types of battery, P and Q, were tested. 100 of each type were put into clocks. The number of days each battery la...MediumQ18.2For type Q, the median was 126 days and the interquartile range was 57 days. <br> Compare the number of days ...HardQ19A phone screen is similar to a tablet screen. <br> The area of the tablet screen is 420 cm². <br> A s...HardQ20Here is a formula for an iterative process. <br> uₙ₊₁ = 24/uₙ + 4 <br> u₂ = 8 <br> Work out t...MediumQ21.1The graph represents the velocity of a ball as it rolls along the ground. <br> Work out an estimate for the a...MediumQ21.2Work out an estimate for the total distance covered by the ball.MediumQ21.3Is your estimate from the previous question an overestimate or an underestimate? <br> Give a reason for your ...EasyQ22The nth term of a sequence is n² - 30n + 236 <br> By completing the square, show that all the terms of the se...HardQ23.2Here is a cyclic quadrilateral. <br> f : g = 2 : 3 <br> Work out f : h <br> Give your answer ...Hard