WJEC GCSE Mathematics Unit 2: Calculator-allowed Intermediate November 2017 question paper 3300U40-1

Calculate 8% of £3.25.

Give your answer correct to 2 decimal places.

What is the difference between the following times?

‘07:30 on 1st November 2017’ and ‘13:20 on 3rd November 2017’

Give your answer in days, hours and minutes.

_........ days_........ hours_........ minutes

Divide 16 hours 20 minutes by 5.

Give your answer in hours and minutes.

A number is to be written on the blank card.

The mode and the median of all seven numbers are both the same.

Find one possible number that can be written on the blank card.

One extra number is added to the following list of three numbers.

6 8 13

The mean of the new list of four numbers is 1 less than the mean of the original three numbers.

What number was added to the list?

How would the direction due west be written as a three-figure bearing?

Circle your answer.

360° 180° 090° 270° 000°

What is the bearing of point P from point A?

Circle your answer.

220° 040° 140° 320° 230°

Calculate the area of the trapezium shown below.

You must give the units of your answer.

Express 54 as a percentage of 129.

Give your answer to the nearest whole number.

Share 25·8 kg in the ratio 5: 1.

The following cards spell out the name Ystradgynlais.

In an experiment, the cards are turned face down and rearranged. A card is selected at random and the letter on the card is recorded.

The experiment is carried out 325 times.

How many times would you expect the letter Y to be recorded?

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

AB is the diameter of a circle, centre O, with radius OA = 4·2 cm. ABCD is a square.

Calculate the area of the shaded region.

You must show all your working.

ABC is an isosceles triangle with AB = AC.

Calculate the value of y.

Simplify each of the following and circle the correct answer in each case.

6p⁶ × 3p³

3·4g⁸ ÷ 13·6g²

A solution of the equation

x³ + 2x = 91

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.

A triangular prism of length 2 metres is shown below.

AC = 21 cm, BC = 35 cm and BAC = 90°.

Calculate the area of triangle ABC. Give your answer in cm².

You must show all your working.

Calculate the volume of the prism.

You must give the units of your answer.

Find the answer to the following number problem.

‘(the LCM of 12, 18 and 24) ÷ (the HCF of 36 and 54)’.

The diagram shows two right-angled triangles, joined together along a common side.

SPQ = 90°, SQR = 90°, SQP = 38°, PS = 8 cm and QR = 15 cm.

Calculate the size of angle x.

All the members of a farming club visited the Royal Welsh Agricultural Show.

They all travelled to the show either by bus or by car. None of them visited the show on more than one day. The decision to travel by car or by bus was independent of the day of the visit.

A member of the club was selected at random. The probability that this member travelled by bus was 0·87. The probability that this member visited the show on the first day was.

What is the probability that a member, chosen at random, was not one of those who

travelled by bus on the first day of the show?