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

Circle the fraction that is equal to 1.25%

Circle the expression that means the probability of A and not B.

P(A' U B) P(A U B') P(A' ∩ B) P(A ∩ B')

Circle the triangular number.

9 12 15 18

Circle the inequality represented by the diagram.

Solve 5(2 x – 1) = 6 x + 9

Show that 2125 can be written as a cube number multiplied by a prime number between 10 and 20

Sam types a constant number of words per minute. He takes 8 minutes to type a report of 416 words. How long does it take him to type an essay of 1534 words? Give your answer in minutes and seconds.

A school play takes place each day from Monday to Friday. Here are the attendances on four of the days.

For all five days, the mean attendance is 90 Work out the attendance on Friday.

Rosie makes phone calls to try to sell broadband. Today, she made 120 calls. The table shows the results.

Write down the relative frequency that a call was not answered.

During the rest of the week, Rosie will make 500 calls. Using the results in the table, how many sales does she expect to make during the rest of the week ?

Harry and Ellie each bought a printer and a hard drive. Here is some information about how much they paid.

Ellie says, ‘‘In total, I paid more than Harry because 20% is greater than 10%’’ Is she correct?

Show calculations to support your answer.

A shape is made by joining a right-angled triangle to a rectangle.

Work out the area of the shape.

4 y = 5 x Which statement is correct? Tick one box.

Outside a cafe there is a large plastic ice cream cornet. The cornet is a hemisphere on top of a cone.

The cone and the hemisphere each have radius 24 cm The cone has perpendicular height 117 cm

r is the radius r is the radius h is the perpendicular height

Work out the total volume of the cornet.

The actual cornets that the cafe sells are similar to the plastic one. For the actual cornets, the cone and the hemisphere each have radius 2 cm How many times greater is the volume of the plastic cornet than an actual cornet?

A survey was held in a football stadium. A sample of the crowd was asked about the importance of a family area. The pie chart represents the answers.

The total number of people in the crowd was 29 250 Estimate how many people in the crowd think that a family area is very important. Assume that the sample is representative of the crowd.

In fact, 50% of the sample were sitting in the family area 10% of the crowd were sitting in the family area. What is this likely to mean about the actual number of people in the crowd who think that a family area is very important? Tick one box.

In the grid, the product of each row, column and diagonal is 1

Complete the grid.

Amol owns a sandwich shop. The shop is open from Monday to Saturday. In June, Amol sold 3000 sandwiches.

Amol wants to work out the mean number of sandwiches he sold per day in June. His method is 3000 ÷ 30 = 100 Make one criticism of Amol’s method.

Amol received £6660 from selling the 3000 sandwiches in June. The numbers of sandwiches sold were in the ratio meat: cheese: vegan = 9: 4: 7 The price of a meat sandwich is £2.39 The price of a cheese sandwich is £1.89 Work out the price of a vegan sandwich.

Here is the plan of a solid.

Circle the solid that it could be.

sphere cone hemisphere cylinder

Solve x² + 7x – 11 = 0 Give your solutions as decimals.

A, B, C, D and E are points on a straight line.

A, B, C and D are equally spaced. AD: DE = 2: 1 Work out the coordinates of E.

A company makes and sells boxes of washing powder.

The company wants to increase the amount of money it receives per kg of powder. To get the required increase it can increase the price to £5.88 or reduce the mass of powder in the box by x % Work out the value of x to 2 decimal places.

x =

Which of these is the equation of a circle? Circle your answer.

Circle the reciprocal of 8⁵

Factorise 3x² – 16x – 12

A straight line is perpendicular to the straight line through (2, 8) and (6, 15) and passes through (0, 9) and (x, 17) Work out the value of x.

x =

f(x) = 2 x + 5 Show that 3f(x) – 12f^–1(x) simplifies to an integer.

Two objects, J and K, are applying pressure to areas of ground.

For J, the force is 18.9 newtons and the area is 0.45 m² pressure for J: pressure for K = 7: 8 area for J: area for K = 9: 5 Work out the force for K.

To be rented, a bedroom must have a floor area of at least 6.51 m² A bedroom has a rectangular floor. The floor measures 2.4 m by 2.9 m, each correct to 2 significant figures. Show that the bedroom can be rented.

AB, BC and CD are sides of a regular 12-sided polygon. CDMN is a square.

Prove that points A, B and N lie on a straight line.

The equation of a curve is y = x² – 18x + 70 By completing the square, work out the coordinates of the turning point. You must show your working.