WJEC GCSE Numeracy Unit 2: Calculator-allowed Intermediate November 2019 question paper 3310U40-1

Ceri and Paulo both sit the same mathematics test.

The test is marked out of 125.

Ceri scores 78 marks in the test. Paulo’s result is 64%.

Who has the higher result in this mathematics test?

You must show all your working.

Barrels are used to store liquid.

Glass containers are filled with liquid from a barrel.

The table below gives the capacity of some glass containers and their traditional names.

Complete the table to give the number of bottles

equivalent to all the traditional sizes.

A different barrel contains just enough liquid to fill 30 Magnums.

How many Salmanazars can be filled from this barrel?

Five pupils attended a dance class every Thursday.

For these five pupils: • the median of their ages is 17 years, • the mode is 18 years, • the range of their ages is 8 years, • one pupil is 2 years older than the youngest pupil.

Coleen now joins this class. She is two years younger than the mean age of the other 5 pupils.

How old is Coleen?

You must show all your working.

Of these friends with pets, of them have a dog. Use this information to answer each of the following questions.

Jenna has 33 friends.

How many of her friends have a pet?

What fraction of Jenna’s friends have a dog?

120 people were surveyed. They were each asked which is their favourite pet: dog, cat or fish. The numbers who answered dog, cat and fish were in the ratio 63: 39: 18.

Express this ratio in its simplest terms.

A map of north Wales and the border with England is shown below.

The distance between Wrexham and Oswestry is approximately 22 km by road.

Lauren travels by road directly from Wrexham to Oswestry. This journey takes 25 minutes. Calculate the average speed for Lauren’s journey.

Give your answer in km/h.

Some students were asked to select an even number between 0 and 100.

The heights of these students and the number they each selected are shown in the scatter diagram below.

Describe the correlation shown by the scatter diagram.

Gwenda and Daniel selected the same number. Gwenda is shorter than Daniel. Lotte is the shortest student. Iona and Steffan are both the same height. Iona selected a number greater than 40.

Complete the table.

Arianna’s pizzeria

All pizzas £8.80 each

Special offers

Buy 1 pizza, get 1 pizza free OR 35% off the price of every pizza

Noah wants to order 10 pizzas. Explain why ‘buy 1 pizza, get 1 pizza free’ would be the better of the 2 offers.

Do not use any calculations.

Rowan lives in New Zealand.

Rowan wants to post a number of packages. He has 10 of each of the following stamps.

1 New Zealand dollar ($1) = 100 cents (100c)

Rowan wants to: • put the correct postage on each package, • use as few of his stamps as possible.

Select the stamps he needs to post each of the following packages.

Documents, postage $3.60

Birthday present, postage $7.40

Rowan is coming to Wales on holiday. The conversion rate at the exchange shop is $1 = £0.53. The exchange shop only has £10 and £20 notes.

Rowan only has $550 saved. He wants to exchange as close to $550 as possible. He asks for as few notes as possible.

Calculate: • how many of each British note Rowan gets, • how much he pays for his currency, correct to the nearest cent.

You must show all your working.

The picture shows a solid concrete step.

The step: • stands on horizontal ground, • has all of its edges vertical or horizontal, • has a uniform cross-section.

Draw a sketch of the plan view of the concrete step.

The volume of concrete in the step is 66 000 cm³.

The concrete to make the step costs 39p per litre. A builder charges a rate of £27 per hour. Any fraction of an hour is charged as that fraction of his hourly rate. (For example, half an hour is charged at half of £27.) It takes him 1 hour 20 minutes to make the step. There were no other costs.

Calculate the total cost of making the step.

Calculate the length of the step. Give your answer in cm.

You must show all your working.

Calculate an estimate of the mean number of mugs these people have in their

cupboards.

Calculate the volume of the tea in the mug.

Finbar’s skateboard is shown below.

The diameter of each wheel on Finbar’s skateboard is 6.4 cm. He uses his skateboard to go to visit his friend Sab. Sab lives 2340 metres from Finbar.

When Finbar visits Sab, how many times will each wheel on Finbar’s skateboard

rotate?

What assumption did you make in answering (a)(i)?

Calculate an estimate of the length of the plank that is to be placed diagonally.

Give your answer in metres.

What assumption did you make in calculating the length of the plank that is to be

placed diagonally?

cost of 1 horizontal plank: cost of 1 diagonal plank: cost of 1 end plank

= 3: 4: 5

An end plank costs £8.55.

Calculate the total cost of the planks needed to make the gate.