WJEC GCSE Mathematics Unit 1: Non-calculator Intermediate June 2018 question paper 3300U30-1

Using only the numbers in the following list,

10 11 12 13 14 15 16 17 18 19 20

write down

two prime numbers that have a sum of 32,

The two numbers are_{………........ ………….} and_{………........ ………….}

a number that is a multiple of both 4 and 6,

a number that is a factor of 51.

Circle the correct answer for each of the following.

16 km is approximately equal to

5 miles 8 miles 10 miles 16 miles 32 miles

4 litres is approximately equal to

4 pints 5 pints 6 pints 7 pints 8 pints

The table below shows some values of y = x – 3 for values of x from – 4 to 6.

The straight line you have drawn on the graph for values of x from – 4 to 6 is a diagonal of a square.

Write down the coordinates of the four corners of this square.

A bag contains a number of different coloured balls.

A ball is selected at random from the bag. The probability of selecting a blue ball is 0.3.

Why is the following statement incorrect?

Explain your answer clearly.

‘More than half the balls in the bag are blue.’

What is the probability that a ball selected at random from the bag is not blue?

There are 50 balls in the bag.

How many of them are blue?

Draw an isometric representation of a cuboid measuring 6 cm by 4 cm by 3 cm.

Use the grid below.

Calculate the volume of the cuboid.

Give the units of your answer.

The table below shows the first five terms of a sequence of numbers.

Circle the correct equation that connects terms t₆ and t₇.

The nth term of another sequence is given by 2n – 11.

Write down the value of,

the 10th term,

the 3rd term.

Find the whole number that satisfies all of the following conditions.

• It is a whole number between 1 and 100 inclusive. • 10% of the number is greater than 2 but less than 8. • of the number is a square number.

• The number is not a multiple of 4.

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

In the diagram below, ABCE is a square whose perimeter is 28 cm. CDE is a right-angled triangle whose area is 35 cm².

Calculate the length of DE.

You must show all your working.

Reflect the shape S in the line y = 1.

Describe fully the single transformation that transforms shape S to shape T.

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.

Complete the Venn diagram below to show this information.

The universal set, , contains all of the 30 supporters on the coach.

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.

The line AB is drawn below.

The point P lies above the line AB.

The region in which P is located is such that

• P is nearer to point A than to point B,

Using a ruler and a pair of compasses, construct suitable lines and arcs to represent these conditions. Construction arcs must be clearly shown.

Shade the region in which the point P is located.