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

Choose a word from the list below to complete each sentence.

arc centre circumference diameter

radius sector segment tangent

Here is a grouped frequency table.

Work out an estimate of the mean value.

In the grid below, shade one quarter of the squares so that the grid has exactly two lines of symmetry. Shade complete squares only.

A map has a scale of 1: 4000 On the map, the distance from a station to a museum is 7 cm

Is the actual distance from the station to the museum more than 300 m? Tick a box.

Show working to support your answer.

X is inversely proportional to Y.

Circle the correct statement.

X is directly proportional to Y X is directly proportional to

Here is a right-angled triangle.

Use Pythagoras’ theorem to show that x = 0.8

Beth and Lynn each spin the same biased coin a number of times. The table shows information about the results.

How many more Heads did Beth spin than Lynn?

Lynn says, “My estimate of the probability of the coin landing on Heads must be the best, because 0.35 is greater than 0.32” Is she correct? Tick a box.

Give a reason for your answer.

Some oil has a mass of 537 g

1 m³ = 1000 litres

Work out the volume of the oil. Give your answer in litres.

The length of a wall is 9 metres to the nearest metre. Complete the error interval for the length of the wall.

384 000 electric cars were sold this year. This is 20% more than last year.

How many were sold last year ?

Here are three terms.

Alec multiplies two of these terms.

Work out the three possible fully simplified answers.

At a music festival, four types of instrument are played.

guitars keyboards drums trumpets

The total number of instruments is 80

Half of the instruments are guitars.

keyboards: drums: trumpets = 3: 4: 1

How many keyboards are there?

Two right-angled triangles are joined to make a larger triangle.

Work out the size of angle x.

Here is a sign in a shop.

20% OFF ALL ITEMS

TODAY ONLY 10% OFF THE REDUCED PRICE

THAT MEANS YOU SAVE 30%

Is the sign correct? Tick a box.

Give a reason for your answer.

AB and CD are straight, parallel lines. P is a point on AB. Q is a point on CD. AP = AQ

Work out the value of x.

Solve (x + 2)(x – 5) = 6 x

Straight line LM has equation y = 4 x – 7 Straight line ST has equation y =

Are the lines LM and ST perpendicular? Tick a box.

Give a reason for your answer.

Two types of battery, P and Q, were tested. 100 of each type were put into clocks. The number of days each battery lasted was recorded.

The frequency table represents the results for type P.

On the grid, draw a cumulative frequency diagram to represent the data.

For type Q, the median was 126 days the interquartile range was 57 days.

Compare the number of days that types P and Q lasted. Make one statement about the average and one statement about the spread.

Use statistical measures to support your statements.

A phone screen is similar to a tablet screen.

The area of the screen is 420 cm² A screen costs £7000 per square metre.

Work out the cost of a screen for the phone.

Here is a formula for an iterative process.

Work out the values of u₁ and u₃

The graph represents the velocity of a ball as it rolls along the ground.

Work out an estimate for the acceleration of the ball, in m/s², after 2 seconds. You must show your working.

Work out an estimate for the total distance covered by the ball.

Is your estimate from part (b) an overestimate or underestimate? Tick a box.

Give a reason for your answer.

The nth term of a sequence is n² – 30n + 236

By completing the square, show that all the terms of the sequence have two or more digits.

Line DAE is a tangent at A to the circle with centre O.

Work out the size of angle x.

Here is a cyclic quadrilateral.

f: g = 2: 3

Work out f: h Give your answer in its simplest form.

In the diagram, ABCD and AEFG are congruent rectangles

Prove that GD bisects angle ADF.