WJEC GCSE Mathematics Unit 2: Calculator-allowed Higher June 2019 question paper 3300U60-1

Write down the n th term of the following sequence.

8, 11, 14, 17, ……

Make t the subject of the formula r = 3t – 8.

A rectangle has a length of (x + 5) cm and a width of (2x – 3) cm. Its perimeter is 46 cm.

Calculate the value of x.

In this question, you will be assessed on the quality of your organisation, communication and accuracy in writing.

Is it possible to draw a right-angled triangle with the measurements shown below? You must use calculations (not a scale drawing) to support your answer.

You must show all your working.

Look at the following set of four numbers.

5 8 10 13

Find another set of four numbers so that:

• the range has increased by 2, • the mean remains the same, • the median has decreased by 1.

You may use some of the numbers from the original set, but not exactly the same four

numbers.

My four numbers are

A company has 3 sites based in Wales.

One is in Carno, one is in Holyhead and one is in Porth.

The pie charts below show the distribution of its 128 female staff and 72 male staff.

A person is chosen at random from the company’s 200 staff members.

What is the probability that this person works at the Porth site?

The Morgan family and the Smith family are on holiday in Aberystwyth.

There are 7 adults and 2 children in the Morgan family. There are 4 adults and 3 children in the Smith family.

Both families visit a Craft Centre. The entry price to the Craft Centre is £x for adults and £y for children.

The total cost for the Morgan family is £41.50. The total cost for the Smith family is £29.75.

Form two equations in terms of x and y.

Solve your equations, using an algebraic method, to find the entry price for adults and the entry

price for children.

A solution of the equation

lies between 1 and 2.

Use the method of trial and improvement to find this solution correct to 1 decimal place.

You must show all your working.

When a number is reduced by 15%, the answer is 6154.

What is the original number?

Enlarge the given triangle by a scale factor of –3 using point A as the centre of enlargement.

Factorise 81p² – 1.

Factorise 7t² + 19t – 6.

A car travels 300 km, measured correct to the nearest 5 km.

It travels this distance in 6 hours, measured correct to the nearest hour. Calculate the least possible average speed of the car.

Give your answer in km/h, correct to 2 decimal places.

Sketch the curve y = sin x on the axes below.

You must indicate any important values on the y-axis.

Solve the equation sinx = –0.5.

Give all answers in the range x = –180° to x = 180°.

A raffle is held at a school fair and a total of 100 tickets are sold.

Angharad buys three of the tickets and Meirion buys one ticket. Tickets are selected at random and not replaced. The first prize to be awarded is a calculator. The second prize to be awarded is a voucher. No other prizes are awarded.

Calculate the probability that Angharad wins the calculator and Meirion wins the

voucher.

Calculate the probability that no one wins a prize apart from Angharad or Meirion.

Triangle ABC has sides AB = 17 cm, AC = 13 cm and BC = 23 cm, as shown below.

Calculate the size of CAB.

Use the quadratic formula to solve (3x – 2)² = (x + 1)(x + 2).

Give your answers correct to 2 decimal places.

You must show all your working.