AQA GCSE Maths Paper 2: Calculator Higher June 2024 question paper 8300/2H

The diagram shows a circle, centre O, and three straight lines.

Use one word to describe each shaded region. Choose from

arc chord sector segment tangent

The mass of an iceberg is 2 200 000 kg This value is a 12% reduction from the original mass of the iceberg.

Work out the original mass of the iceberg. Give your answer in standard form.

A chef has a tub of blueberries. She wants to use all the blueberries put the same number of blueberries on each dessert.

D is the number of desserts. b is the number of blueberries on each dessert.

What does the constant k represent? Tick the correct box.

Complete the table.

A fair spinner has six equal sections, each with the number 5, 6, 7 or 8 Each number appears at least once. P(even number) = P(7)

Work out P(5) You may use the blank spinner to help you.

A different spinner has ten sections, each labelled A, B, C or D.

Give one reason why there must be a mistake in the table.

Here is a sketch of the graph y = – 2 x + 6

Complete the coordinates of C and D.

Here is a sketch of a quadratic graph.

Complete the following statements.

4 – 3 6 Work out (2.5 × 10) Give your answer in standard form.

Archie flips a biased coin 200 times. Here is some information about the outcomes after each 50 flips.

Work out the best estimate for the probability of flipping a head. Give a reason for your answer.

A lion is sprinting in a straight line away from its den. The graph shows the lion’s distance from the den.

Work out the speed of the lion in metres per second.

On the Venn diagram, shade the section represented by P ∩ Q

A bus route had 90 000 passengers last year. The number of passengers was predicted to increase by 3% this year and then by 8% next year.

Is the predicted number of passengers for next year more than 100 000 ? You must show your working.

A map has a scale of 1: 20 000 Two churches are 15 cm apart on the map.

Work out the actual distance between them. Give your answer in kilometres.

Circle the reason why these triangles are congruent.

ASA RHS SAS SSS

Liam takes part in long jump competitions. Here is some information about 40 of his jumps.

Work out an estimate of the mean distance of these 40 jumps. Give your answer as a decimal.

A graph passes through the points (3, 15) and (7, w)

Assume that the equation of the graph has the form y = x² + c

Work out the value of w that this would give.

w =

In fact, the graph is a straight line.

What does this mean about the actual value of w ?

Tick one box.

Concrete from a truck is poured at 10.9 kg per second for 30 minutes.

Is more than 20 tonnes of concrete poured? Tick a box.

You must show your working.

Here is some information about the lengths, in cm, of leaves.

• Shortest length = 2.4

• Longest length = 9

• Upper quartile = 7

• Median length = 6

• Interquartile range = 3

Draw a box plot to show this information.

AB is a straight line. Both angles are given in degrees.

By working out the value of x, work out the ratio smaller angle: larger angle

A diagonal of a rectangle is 23.7 cm long. The diagonal makes an angle of 52 ° with a side of length x cm

Work out the value of x.

x =

Factorise 8x² – 18x – 35

Work out one set of possible values for d, e and f.

e =

f =

People in a stadium are in the North Stand, East Stand, South Stand or West Stand. Of the people in the stadium, are in the North Stand are in the East Stand number in South Stand: number in West Stand = 2: 7

There are 4480 people in the West Stand.

How many people are in the stadium?

Use x₁ = 1 to work out an approximate solution to x = 5 – Give your answer to 4 significant figures.

Prove that DEF is a straight line.

A room is kept at a constant temperature of 21 ° C for 6 hours. The heating is then turned off and the room begins to cool. Here is a sketch graph showing the temperature, y ° C, of the room at time x hours.

Assume the equation of the curved part is y = where k is a constant.

Work out the value of y when x = 12

In fact,

How does this affect the value of y when x = 12 ? Tick one box. You must show working to support your answer.

Here is a right-angled triangular prism.

The ratio of the edges is a: b: c: d = 3: 4: 5: 12

Work out the total length of all of the edges of the prism.