WJEC GCSE Numeracy Unit 1: Non-calculator Intermediate November 2019 question paper 3310U30-1

Every year, Aber Young Farmers club organises a sponsored walk.

This year, the length of the walk is 20 miles.

Calculate the length of the walk in km.

Last year, the walk raised a total of £3600. It cost £180 to organise the walk last year.

Give the cost of organising the walk as a percentage of the total raised.

This year, walkers will be charged to take part. Aber Young Farmers decided that: charge in pence = 3 × height of the walker in cm

What is the height of the shortest walker who will need to pay a charge of more than £5? Give your answer correct to the nearest cm.

You must show all your working.

How much did Sound5 customers spend buying USB leads on Friday?

Over the two days, how many customers did not buy either earphones or a USB lead?

Circle your answer.

27 45 40 57 72

What fraction of Friday’s customers bought both earphones and a USB lead?

Circle your answer.

How much money in total did Sound5 customers spend on buying earphones, USB leads or both on Saturday ?

You must show all your working.

The students in Mr Griffin’s mathematics class all recorded how long they spent on their last mathematics homework.

None of his students spent less than 10 minutes on this homework. All of his students attempted the homework.

Mr Griffin has drawn a frequency diagram to display the times recorded by his students. He used groups of width 10 minutes:

Did any student get all their mathematics homework correct?

Yes
No
Can’t tell

You must give a reason for your answer.

How many students are there in Mr Griffin’s mathematics class?

Consider the students who spent less than 40 minutes on their homework.

What fraction of these students spent 30 minutes or more on their homework?

Emily has drawn a conversion graph, as shown below.

She uses it to help her brother understand how to convert knots to miles per hour.

Miles per hour

Complete each of the following statements.

23 miles per hour is equal to_........ knots.

5 knots is equal to_........ miles per hour.

Ms Logan is calculating her next water bill.

She knows that her fresh water usage is 20 m³.

On the water company’s website she finds the following:

Water charges

• The waste water output is calculated as 80% of the fresh water usage.

• Fresh water usage costs £1.10 per m³.

• Waste water output costs £1.50 per m³.

Calculate Ms Logan’s water bill.

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

Calculate the cost of one kilogram of apples.

Catrin considers the data she needs to collect to find out if people are happy with their bank.

Catrin includes the following questions in her questionnaire.

Write down one set of possible groups that could be used as answer options for each of these

questions.

Question 1: How old are you?

Groups:

Question 2: If you have a bank account, how happy are you with your bank?

Groups:

Rhodri makes a statement about their kite being able to fly in strong wind,

“The length of the long diagonal must be at least 120% of the length of the short diagonal.”

Assuming Rhodri is correct, should their kite be able to fly in strong wind?

You must show all your working.

Sioned says,

“The best length for the tail on a kite depends on the area of the kite.”

Sioned refers to the table below that she has seen on the internet.

Area of the kite, A	Best length for the tail
A 500 cm2	2 m
500 cm2 A 900 cm2	2.4 m
900 cm2 A 1200 cm2	3.1 m
1200 cm2 A	3.5 m

Work out the best length of tail for Sioned and Rhodri’s kite.

You must show all your working.

Waldo doesn’t mind which type of pasta he buys.

In the supermarket, Waldo sees the three packets of pasta shown below.

Which pasta offers Waldo the best value for money?

You must show all your working.

How many kilograms of tinned tomatoes are needed to make Arrabiata pasta

sauce to serve 20 people?

A pasta factory in Italy produces 5 km of spaghetti per day. How many centimetres of spaghetti will this factory produce in 7 days?

Give your answer in standard form.

Agata is paid in pesos.

The tax rates are as follows:

Agata’s total earnings before tax are 600 000 pesos.

Calculate how much tax Agata is due to pay.

You must show all your working.

Agata’s total tax bill_........ pesos

Gwilym is stacking 6 boxes in his garage. The height of his garage is 2.5 m, correct to the nearest 10 cm. 5 of Gwilym’s boxes each have a height of 40 cm, correct to the nearest 10 cm. The other box has a height of 55 cm, correct to the nearest 5 cm.

Calculate the maximum possible gap between the stack of 6 boxes and the garage

ceiling.

On 1st July every year, Trefor estate agents record the time from when a phone rings to when it is answered.

The time taken to answer the phone is recorded in seconds.

Trefor displays the data for their agents to see. The displays for 1st July 2018 and 1st July 2019 are shown below.

1st July 2018

Cumulative frequency

Use the diagrams on the previous page to answer the following questions.

What is the range of times taken to answer the phone for 1st July 2018?

Circle your answer.

101 seconds 80 seconds 78 seconds 106 seconds 104 seconds

What is the maximum possible range of times taken to answer the phone for 1st July 2019?

Circle your answer.

86 seconds 106 seconds 80 seconds 56 seconds 83 seconds

The manager of Trefor estate agents claims that there has been an improvement in the median time taken to answer the phone from 1st July 2018 to 1st July 2019. Is this true?

Yes No

You must show all your working.

Complete the following statements.

‘On 1st July 2018, 75% of the phone calls were answered within........

seconds.’

‘On 1st July 2019, 75% of the phone calls were answered within........

seconds.’

Mr Aston lives at 137 Ffordd Uchel.

He is ordering some new signs for his house and for his gatepost from a website.

All the signs available on the website are mathematically similar.

He selects a rectangular sign for the front of his house. It has a length of 42 cm and a height of 24 cm. The digits 1, 3 and 7 on the sign are all 18 cm high.

The rectangular sign Mr Aston is considering for his gatepost has a height of 20 cm.

Calculate the height of the digits 1, 3 and 7 on the sign Mr Aston is considering for his

gatepost.

Height of the digits 1, 3 and 7 is_........ cm

Mr Aston’s gatepost is 30 cm wide. Will the sign he is considering fit his gatepost?

Yes No

You must show all your working and give a reason for your answer.