WJEC GCSE Mathematics Unit 1: Non-calculator Higher June 2018 question paper 3300U50-1

Circle the best approximate value for the following calculation.

110 12 11 120 10

Circle the correct answer.

30 rugby supporters travel to Cardiff on a coach. They decide to investigate how many of them can sing one, or both, of the songs ‘Hen Wlad fy Nhadau’ and ‘Bread of Heaven’.

• 12 say they can sing both songs. • 18 say they can sing ‘Bread of Heaven’. • 5 say they cannot sing either of the songs.

One of these supporters is chosen at random.

What is the probability that this person can sing ‘Hen Wlad fy Nhadau’?

Expand and simplify the following expression.

A fair, six-sided dice is thrown twice.

What is the probability that a 3 is thrown on both occasions?

A company has offices in Llanelli, Caernarfon, Newtown and Ebbw Vale. Its national committee is made up of workers from these four offices. The pie chart below shows what fraction of the committee members come from each

There is an equal number of members from Newtown and Ebbw Vale. A member is chosen at random from this committee to be its chairperson.

What is the probability that the member chosen as chairperson works at either the Llanelli or the Ebbw Vale office?

You must show all your working.

Give your answer in standard form.

Factorise 12x² + 3xy.

Calculate the size of angle x in the diagram below.

Enlarge the triangle below by a scale factor of –2. Use the origin as the centre of enlargement.

find an expression for y in terms of x,

use the expression you found in part (a) to complete the following table.

A ball is thrown upwards from a height of 1 m above the ground.

After t seconds, its height above the ground is h metres, where h is given by

Show that the time taken to reach a height of 4 metres satisfies the equation

5t² – 8t + 3 = 0.

Solve the equation

5t² – 8t + 3 = 0.

Interpret your answer to part (b) in the context of the question.

Circle the correct answer for each of the following statements.

Use your graph to find the value of 2^1.4.

Use your graph to solve the equation 2^x = 1.4.

At a children’s party, the children play a number of games.

The winner of each game chooses a ticket for a prize, at random, from a box. The ticket is not returned to the box. At the start of the party, there are 12 prizes available: 1 book, 3 key-rings and 8 pencils.

Find the probability that the winners of the first two games choose the same type of

prize.

After the winners of the first three games have chosen their prizes, find the probability

that the ticket for the book is still in the box.

Given that cos 21° = 0.9336, correct to 4 decimal places, write down all the solutions of the equation

for values of x from 0° to 360°.