AQA GCSE Maths Paper 2: Calculator Higher November 2018 question paper 8300/2H

What does (A ∩ B) represent in P(A ∩ B) ? Circle your answer.

A or B or both A but not B

not A and not B A and B

P is (4, 9) and Q is (–2, 1) Circle the midpoint of PQ.

(1, 5) (3, 4) (3, 5) (6, 8)

Which of these is a geometric progression? Circle your answer.

1 3 5 7 9 1 3 6 10 15

1 4 9 16 25 1 3 9 27 81

The bearing of A from B is 310° Circle the bearing of B from A. 050° 110° 130° 220°

A circle has circumference C and diameter d.

What value does the constant k represent?

Here is some information about 20 trains leaving a station.

Work out an estimate of the mean number of minutes late.

The station manager looks at the information in more detail.

Number of minutes late, t	Number of trains
0 t 2	12
2 t 4	0
4 t 6	7
6 t 8	0
8 t 10	0
10 t 12	1

He works out an estimate of the mean using this information. How does his estimate compare with the answer to part (a)? Tick one box.

Work out the values of a and b in the identity

Two identical quarter circles are cut from a rectangle as shown.

Work out the shaded area.

The diagrams show the position of a tap when off and fully on. The tap is fully on when the angle of turn is 180°

When fully on, water flows out of the tap at 14 litres per minute. The rate at which water flows out is in direct proportion to the angle of turn. The tap is turned 135°

The water flows into a tank with a capacity of 79.8 litres. Will it take less than 7 minutes to fill the tank? You must show your working.

This triangle is equilateral.

Is the perimeter of the triangle greater than one metre? You must show your working.

An approximation for the value of π is given by

Use your calculator to show that this approximation is within 0.1 of 3.14

Give your answer in standard form.

Ashraf is going to put boxes into a crate. The crate is a cuboid measuring 2.5 m by 2 m by 1.2 m Each box is a cube of length 50 cm He does these calculations.

He claims, ‘‘I can put 48 boxes in the crate.’’ Evaluate Ashraf’s method and claim.

The cross section of a prism has n sides. Circle the expression for the number of edges of the prism.

2 n 3 n n + 2 2 n + 3

The volume of a medal is 45 cm³ The medal is made from copper and tin.

Work out the mass of the medal.

The cumulative frequency graph shows information about the masses of 50 apples.

Use the graph to estimate the median mass of the apples.

Estimate the proportion of the apples that have a mass greater than 115 grams.

a is a prime number. b is an even number. N = a² + ab Circle the correct statement about N.

could be always even even or odd

always prime always odd

A bag contains 20 discs. 10 are red, 7 are blue and 3 are green.

Marnie takes a disc at random before putting it back in the bag. Nick then takes a disc at random before putting it back in the bag. Olly then takes a disc at random. Work out the probability that they all take a red disc.

All 20 discs are in the bag. Reggie takes three discs at random, one after the other. After he takes a disc he does not put it back in the bag. Reggie’s first disc is blue. Work out the probability that all three discs are different colours.

Lunch Choose one starter and one main course There are four starters and ten main courses to choose from. Two of the starters and three of the main courses are suitable for vegans. What percentage of the possible lunches have both courses suitable for vegans?

n is a positive integer. Prove algebraically that 2n² n 6n n² 1 is a cube number.

y = 4 when x = 9

Work out an equation connecting y and x.

Work out the value of y when x = 25

PQR is a straight line. PQ: QR = 3: 1 PQ = a Not drawn accurately

Circle the vector RQ

Here is a sketch of y = f(x) The curve passes through the points (–2, –10) (–1, –3) (0, –2) (1, –1) (2, 6)

On the grid, sketch the curve y = f(x + 2)

ABC and ACD are triangles.

Work out the size of angle x.

Work out fg(x) Give your answer in the form a + bxⁿ where a, b and n are integers.

Izzy runs an 80-metre race in 14 seconds. During the first 6 seconds her speed increases at a constant rate. During the last 8 seconds her speed increases at a different constant rate. Her speed at 14 seconds is 2 m/s more than her speed at 6 seconds. Here is a sketch of her speed-time graph.

Work out her acceleration during the last 8 seconds. State the units of your answer.

When Izzy finishes the 80-metre race, her speed is v m/s Work out the value of v.