What grade do I need to pass GCSE?

Grade 4 is the Standard Pass (equivalent to the old grade C). Grade 5 is the Strong Pass and is increasingly required by sixth forms and employers. Most university requirements start at grade 4 or 5.

How are AQA GCSEs graded?

AQA GCSEs are graded on a 9–1 scale, where 9 is the highest grade. Grades 9, 8, and 7 broadly correspond to the old A* and A grades.

How many GCSE subjects do students typically take?

Most students take 9–10 GCSE subjects. English Language, English Literature, and Mathematics are compulsory. Students then choose from History, Geography, Sciences, Languages, and other options.

When are AQA GCSE exams held?

The main AQA GCSE exam series runs in May and June each year. Results are published in August. There is a smaller November resit series for English Language and Mathematics.

AQA GCSE Maths Higher Tier Paper 1 Non-Calculator — Free 32-Question AQA GCSE Practice Test

Q01Work out 12² ÷ (1/3 × √36)Easy

Q02Measure the shortest distance from point P to the line. Give your answer in millimetres.Easy

Q03The vector (<sup>-3</sup><sub>7</sub>) translates A to B. Write down the vector that translates B to A.Easy

Q04.1The attendance for a rugby match is 8400 people to the nearest 100. Write down the minimum possible attendance.Easy

Q04.2Write down the maximum possible attendance.Easy

Q05.1A school year has 78 students. 28 wear glasses. 1/4 of the students who wear glasses are left-handed. 30% of the stud...Medium

Q05.2A left-handed student is chosen at random. Work out the probability that the student wears glasses.Medium

Q06.1The table shows the number of workers at a company in different years. A time-series graph is drawn to represent the ...Easy

Q06.2Estimate the number of workers at the company in 2023.Easy

Q07.1Here is a cone. Curved surface area of a cone = πrl, where r is the radius and l is the slant height. Beth tries to w...Easy

Q07.2Adam uses π = 3 to estimate the area of the base of the cone. Work out his estimate.Easy

Q07.3Beth uses π = 3.14 to estimate the area of the base of the cone. Is Beth's estimate more than or less than Adam's est...Easy

Q08Solve 7x - 22 = 4x + 29Easy

Q09In a house, the floor area of the living room is 26 m² and the floor area of the kitchen is 16.4 m². Express the area...Medium

Q10.1Represent -2 < x < 4 on the number line.Easy

Q10.2Solve 5y + 14 ≥ 11Easy

Q11Describe fully the single transformation that maps shape A to shape B.Medium

Q12A sector has radius 12 cm and angle 60°. Work out the length of the arc. Give your answer in terms of π.Medium

Q144 chocolate bars and 3 packets of mints cost £4.70. 5 chocolate bars and 1 packet of mints cost £4.50. Work out the c...Medium

Q15.1Between which two consecutive integers does the square root of 210 lie?Easy

Q15.2Here are two calculations, A and B. A: 1.92⁷ + 6.9³ B: 5 × ³√1000350 Use approximations to show that answer to A < an...Medium

Q16The table shows information about the ages of members of two clubs. Compare the average age and consistency of ages f...Easy

Q17Rearrange y = (3x + 7) / x to make x the subject.Medium

Q18A circle has centre O and passes through (0, 6). Write down the equation of the circle.Easy

Q19A, B and C are numbers. Here is some information about B and C. B = 7/4 of A C = A increased by 150% Work out C as a ...Hard

Q205x³ + ax² + bx + c ≡ kx³ + (2 - k)x² + (a² - 1)x + b/2 Work out the values of a, b and c.Medium

Q21Prove algebraically that 1.018 (with 18 recurring) = 56/55Medium

Q23.1The first three terms of a geometric progression are √5/2, 5/4, 5√5/8. Work out the next term.Medium

Q23.2The nth term of a sequence is (2 + √3)ⁿ. Show that the third term is 26 + 15√3.Medium

Q24.19k + 7 and 2k² + 3 are consecutive integers. 9k + 7 is the smaller integer. Work out the value of the next consecutiv...Hard

Q24.2x is a square number. Show that the next square number is x + 2√x + 1.Medium

Q25Show that the value of 6 sin 30° + 2 cos 30° × 4 tan 30° is an integer.Hard

AQA GCSE Maths Higher Tier Paper 1 Non-Calculator

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