WJEC GCSE Mathematics Unit 2: Calculator-allowed Intermediate June 2018 question paper 3300U40-1

Simplify 3f + 7g + f – 4g.

Use the formula 5p + 2q = t to find the value of q when p = 4 and t = 24.6.

The square drawn below has rotational symmetry of order 4. Place two identical dots (●) on the square so that it will have rotational symmetry of

order 2.

The regular hexagon drawn below has rotational symmetry of order 6. Place three identical dots (●) on the regular hexagon so that it will have rotational symmetry

of order 3.

A travel company offers the following holiday options.

List all the possible different combinations of holiday options that the company offers.

One has been done for you.

Summer Cottage Train

Which of the following fractions is nearest to ?

You must show all your working.

Circle the correct equation for each of the following.

All the lines shown are straight lines.

a = b + c
b = c + a
b = a − c
c = a + b
c = a – b

a b c d e 540 a b c d e 360

Calculate the mean of these four time periods.

You must give your answer in hours and minutes.

5 hours 20 minutes 2 hours 44 minutes 6 hours 18 minutes 4 hours 34 minutes

Mean time =_{……........ ….} hours_{……........ ….} minutes

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

Cube A and cuboid B are shown below.

Express the volume of B as a percentage of the volume of A.

You must show all your working.

The diagram below shows an equilateral triangle ABC with AB = (4 x – 7) cm.

The perimeter of the triangle is 27 cm.

Calculate the value of x.

A box contains many discs, identical in shape and size.

A picture of one of four Welsh castles is printed on each disc.

A disc is chosen at random from the box. Complete the table below to find the probability of choosing a disc showing Dinefwr

In the box, there were 522 discs showing a picture of Caernarfon Castle.

How many of the discs showed a picture of Harlech Castle?

Calculate the reciprocal of 47, giving your answer correct to 4 decimal places.

Circle the correct answer in each of the following.

Which of the following values cannot be an external angle of a regular polygon?

10° 18° 30° 48° 72°

Point A is on a bearing of 100° from point B.

What is the bearing of point B from point A?

260° 100° 280° 180° 80°

A solution of the equation

lies between 4 and 5.

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

You must show all your working.

The highest common factor (HCF) of 30 and 75 is the square root of a number.

What is the number?

The cube root of 32.768 is 33 % of a number.

What is the number?

PQR is a right-angled triangle, as shown below.

PQ = 1.41 m and PR = 0.89 m.

Calculate the length of QR.

Complete the tree diagram shown below.

Gender Transport

The person chosen at random receives a gift voucher. What is the probability that this person is female and travelled up the mountain by train?

The diagrams below show two similar shapes, ABCD and PQRS.

Calculate the value of x.

Calculate the value of y.

Explain clearly why the following statement cannot be true.

A rectangle of length 12 cm and width (2x – y)cm has an area of 72 cm².

KLMN is a kite where KL = 3xcm and LM = ycm.

The perimeter of the kite KLMN = 33 cm.

Calculate the values of x and y.

You must show all your working.

Do not use a trial and improvement method.

Calculate the value of x.

Hence find the length of DE.