WJEC GCSE Mathematics Unit 2: Calculator-allowed Higher June 2018 question paper 3300U60-1

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°

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

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.

ABC and CDE are two right-angled triangles.

In triangle ABC, AB = 6.5 cm and BC = 10.4 cm. In triangle CDE, CE = 9.4 cm. BCE = 22°. ACB = x°.

Calculate the value of x.

Hence find the length of DE.

Factorise 4m² – 289.

Calculate the volume of a pyramid with a base area of 13 200 cm² and a perpendicular height of 460 cm.

Give your answer in m³.

Five quadratic equations are listed below.

Draw a line connecting each equation to its solution.

One has been completed for you.

A and B are points on a circle with centre O.

Calculate the length of the arc AB shown below.

Express the following as a single fraction in its simplest form.

A bag contains 200 beads.

Some of the beads are red. A bead is selected at random. Its colour is recorded and then the bead is replaced. A second bead is selected at random and its colour is also recorded.

The probability that two red beads are selected is 0∙1369.

Calculate the number of red beads in the bag.

Solve the equation (2 x + 5)(3 x – 11) = 7.

Give your answers correct to 2 decimal places.

Make c the subject of the following formula.

BC is the tangent to the circle at point E, as shown below.

EC = 8 cm, AC = 11 cm and DCE = 31°.

Calculate the length of AE.

Calculate the size of CED.