AQA GCSE Maths Paper 2: Calculator Higher November 2022 question paper 8300/2H

Circle your answer.

– 61.6 – 20.425 204.25 3870.56

Work out 3.1 10^{9 2} Circle your answer.

6.2 × 10¹⁸ 6.2 × 10⁸¹ 9.61 × 10¹⁸ 9.61 × 10⁸¹

The equation of a line is y = 3 x – 6 Circle the coordinates of the y- intercept.

(0, – 6) (– 6, 0) (0, 3) (3, 0)

a × b⁴ = c Circle the correct expression for a.

Written as the product of prime factors,

and

Work out the highest common factor (HCF) of 12 600 and 14 112 Give your answer as an integer.

The composite bar chart shows information about the percentage of drinks sold by a

In 2007 the café sold a total of 24 000 drinks. How many more teas than coffees were sold?

Were more coffees sold at the café in 2019 than in 2007 ?

Give a reason for your answer.

k is a whole number between 40 and 50 The cube root of k is 3, to the nearest whole number. Work out the largest possible value of k.

Fay tries to solve x² = 100 She says, ‘‘The only possible value of x is 10’’ Give a reason why she is not correct.

Here is a cuboid. w, x and y are different whole numbers.

The total length of all the edges of the cuboid is 80 cm The volume is greater than 200 cm³ Work out one possible set of values for w, x and y.

Here is a solid cube.

Circle the expression for the total surface area in cm²

The 47th triangular number is 1128 The 48th triangular number is 1176 Work out the 49th triangular number.

The n th terms of two linear sequences, A and B, are added to give the n th term of a new sequence. The new sequence starts 8 13 18 23 The n th term of sequence A is n + 1 Work out the n th term of sequence B.

A tank contains 40 litres of water.

Water leaks out of the tank at a rate of 1.2 litres per minute. The leak is stopped after 20 minutes. Show that, when the leak is stopped, the tank contains 16 litres of water.

The tank is refilled with water from a tap. The graph shows the amount of water in the tank after the leak is stopped.

Complete this report by writing a number in each answer space.

The length of this rectangle is 6 times the width.

Two of these rectangles are joined, with no overlap, to make this L-shape.

The perimeter of the L-shape is 98.8 cm Work out the value of the perimeter of one of the rectangles.

Trapezium DEFG is formed by joining triangle DEH

ABC is similar to DEH. Work out the area of DEFG.

Fred bought an apartment for £137 500 He made 8% profit when he sold the apartment. He used all of this profit to pay 40% of the deposit on a house. The deposit was one sixth of the price of the house. Work out the price of the house.

Circle the correct statement.

Here is a sketch of a graph.

Circle the possible equation of the graph.

A sequence of numbers is formed by the iterative process

Circle your answer.

A basketball team plays 19 home games and 19 away games. The box plot shows information about the points the team scored in home games.

Here are the points the team scored in the 19 away games.

85 89 93 95 96 96 98 98 98 99

100 103 105 107 109 110 114 119 126

On the grid, draw a box plot for the away games.

On average, did the team score more points in home games or away games? Use one statistical measure to support your decision.

Was the number of points scored more consistent in home games or away games? Use one statistical measure to support your decision.

Using the quadratic formula, or otherwise, solve 3x² + x – 5 = 0

A vending machine has a different item in each section. It sells 7 drinks, 3 of which are juice 5 snacks, 2 of which are fruit bars 11 meals, 4 of which are salad. One drink, one snack and one meal are chosen at random. Show that the probability of getting a juice, a fruit bar and a salad is more than 5%

Show that gf(2) is an integer.

Show that f^–1(8) is not an integer.

Factorise fully x³ – 49x

61 students recorded how many hours they spent revising for a test. The histogram represents the results.

Work out an estimate of the mean time the 61 students spent revising. You may use the table to help you.

Give a reason why the answer to part (a) is an estimate.

A ship sails from A on a bearing of 247 ° It travels at a constant speed of 23 mph for 1 hours. Is the ship now closer to B than it was when it left A? You must show your working.

Two congruent parallelograms, PQRV and VRST, are joined.

X is the midpoint of VT. VW: WR = 1: 2 Prove that Q, W and X lie on a straight line.

Helena ran an 800-metre race in 140 seconds. The speed-time graph represents the first 100 seconds of her run.

Helena ran the last 40 seconds with constant deceleration. Work out her speed as she finished the race.

metres per second

In a class there are n boys a total of 25 students. Two of the students are chosen at random. The probability that both students are boys is Work out the value of n.

ABCDEF is a triangular prism. P is a point on EF.

EB = 29 cm Angle EBP = 35 ° Angle EPB = 114 ° Work out the length of EP.