WJEC GCSE Numeracy Unit 2: Calculator-allowed Foundation November 2019 question paper 3310U20-1

Mrs Jones is a mathematics teacher.

She orders some equipment for her department.

She sees the following items in a catalogue from a stationery company.

Mrs Jones buys the items listed below.

Complete the following table to show her bill for these items.

The company offers Mrs Jones a discount of 25% off the total cost of these items.

How much discount does she receive?

After paying for the items, Mrs Jones has £164 left to spend on equipment for the department. She wants to spend the remaining money on buying as many scientific calculators as possible. There will be no discount on this order.

How many extra calculators can Mrs Jones buy?

Mrs Jones can buy_{……………........ ………………………} extra calculators.

A company calculates its postage costs by using the following formula:

Total postage costs (£) =

number of small letters × 0.65 + number of large letters × 0.98

Here is a note showing how many small letters and large letters were posted in a particular

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

Here is a note showing the total postage cost and the number of small letters posted the following week.

You must show all your working.

The company produces some postcards to advertise the business. The postcards are rectangular. The dimensions can be seen on the diagram below.

What is the perimeter of the postcard?

Circle your answer.

50·10 cm 25·5 cm 51 cm 157·5 cm² 157·5 cm

The postcards are to be stored in boxes shaped like a cuboid, as shown in the diagram

Which two of the following nets can be used to make the boxes?

Circle your answers.

Mair has two dogs, Gelert and Tili.

Gelert weighs 22 lb (pounds). Tili weighs 14.5 kg.

Including an appropriate calculation, explain fully how you know that Tili is heavier than

Gelert.

Both dogs eat a particular brand of dog food. The graph below shows the amount of food that dogs of different sizes should eat each day.

Gelert is a medium-sized dog. Tili is a large dog.

Using the graph, how much food in total should Gelert and Tili eat each day?

Mair buys an 18 kg bag of the dog food.

How many days will the 18 kg bag of food last?

The 18 kg bag of food will last for_{……………........ …………..} days

Evan wears a fitness watch that shows the time and the number of steps he has taken during the day.

Evan goes for a run one evening. The displays on his watch at the beginning of the run and at the end of the run are shown below.

Beginning of the run

TIME STEPS

End of the run

TIME STEPS

For how long did Evan run?

Circle your answer.

24 minutes 22 minutes 52 minutes 36 minutes 76 minutes

Evan wants to know how many miles he has run. The number of steps taken to complete one mile depends upon the runner’s height. The table below, taken from the internet, gives this information.

Evan is 5 feet 7 inches tall.

How many miles did Evan run?

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.

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.