AQA GCSE Maths Paper 3: Calculator Higher November 2024 question paper 8300/3H

Work out the reciprocal of Give your answer as a decimal.

The table shows information about the number of houses with solar panels in a town.

Complete the graph.

Use the graph to estimate the number of houses with solar panels in 2023

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

On this centimetre grid, draw the front elevation of the building. Use a scale of 1 cm to 10 m

To the nearest pound, Rosie has £12 She wants to buy 6 drinks. Each drink costs £1.89

Show that Rosie definitely has enough money to buy the 6 drinks.

The total cost of a taxi ride is calculated by adding a fixed charge of £4 and a charge of £2 per mile.

Write a formula to work out the total cost, £ C, of a journey of m miles.

Three shops sell shirts.

At which shop is it cheapest to buy 6 shirts ? Show working to support your answer.

At a school there are 912 students the ratio of students to teachers is 15.2: 1

The number of students stays the same. The number of teachers increases by 2

Work out the new ratio of students to teachers. Give your answer in the form n: 1

On a school trip, one teacher is needed for every group of 10 or fewer students. 72 students want to go on the trip.

Lexi tries to work out how many teachers are needed.

What is wrong with her answer?

A triangle is drawn using the lines y = x x = – 2

Work out the coordinates of the three vertices of the triangle.

When 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 remainder is 1

Work out two possible values of x.

A car will travel 60 miles. Draw a graph to show the average speed of the car for times taken between 1 hour and 6 hours. You may use the table to help you.

Factorise fully 12t + 4t³

The population of a country is now 67 200 000 The population is predicted to increase by 1% per year for 6 years and then decrease by 1.2% per year for 2 years.

Work out the predicted population of the country 8 years from now. Give your answer to 3 significant figures.

A bag contains one £5 note, one £10 note, one £20 note and one £50 note. Amaan picks two of the notes at random without replacement.

Work out the probability that he has picked at least £30

A test consists of two sections, A and B.

85% of people pass section A.

78% of people who pass section A also pass section B.

36% of people who fail section A also fail section B.

Complete the tree diagram.

40% of people who fail at least one section take the test again. 5000 people take the test.

How many of these 5000 people are expected to take the test again?

Match each equation to a statement to show what happens when the value of x is doubled. One has been done for you.

A stone falls vertically from 300 metres above ground.

The stone falls d metres in t seconds.

d is directly proportional to the square of t.

The stone falls 20 metres in the first 2 seconds.

Work out the total time taken for the stone to reach the ground.

The table shows information about the height of 40 plants.

Draw a histogram to represent the heights.

Use the sine rule to work out length x. You must show your working.

x = cm

Factorise fully 3x² + 23x + 30

A bag contains 25 discs. 11 are red, 9 are blue and 5 are yellow. Ashley picks three of the discs at random without replacement.

Ashley’s first disc is red.

Work out the probability that all three discs are different colours.

The metal used to make a sphere costs £4320 The metal costs £3.60 per gram. Each cubic centimetre of metal has a mass of 17.3 grams.

Work out the radius, r, of the sphere.

The distance of a particle from a point is d metres after t seconds.

Work out the values of a and b.

A curve has the equation y = x² + 4x – 4 A straight line has the equation y = 3 x – 2

Work out the two points of intersection of the curve and the straight line.