WJEC GCSE Numeracy Unit 1: Non-calculator Intermediate November 2020 question paper 3310U30-1

Marium buys some blueberries and strawberries.

Marium buys 1∙5 kg of blueberries. She receives £6.80 change from a £20 note.

Calculate the mass of the strawberries that Marium buys.

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

for the first year.

You must show all your working.

The height of a fully-grown Jack Russell dog is between 25 cm and 30 cm. A fully-grown Jack Russell dog has a mass of between 6 kg and 8 kg.

Complete each of the following statements.

‘The height of a fully-grown Jack Russell dog is between

‘A fully-grown Jack Russell dog has a mass of between

The map shows part of Wales.

Name the place on the map that is on a bearing of 145° from Colwyn Bay.

Another map has a scale of 1: 20 000. Gwen measures 3.5 cm on this map.

What distance does this represent in metres?

Calculate the size of each of the angles x, y and z.

= ° = ° = ° x_........ y_........ z_........

In an office, the ICT technician recorded the number of attempts each of 75 employees took to enter their correct password into a computer.

The results are displayed below.

What was the modal number of attempts taken to enter the correct password?

Circle your answer.

1 2 2. 5 3 4

What was the median number of attempts taken to enter the correct password?

Circle your answer.

1 2 2. 5 3 4

A further 10 employees attempted to enter their correct password into a computer. The median number of attempts for all these 85 employees is 3.

Did any of these 10 employees take fewer than 3 attempts to enter their correct password?

Yes No

You must show working to support your answer.

Rowan buys 4 bags of flags.

Rowan plans to make as many muffins as possible and have no cases, ingredients or flags left over.

He will sell the muffins for 30p each.

Calculate Rowan’s profit when he sells all the muffins he makes.

You must show all your working.

Gerry makes biscuits. Each box of biscuits costs him 80p to make. He sells them for £4 a box.

Calculate the percentage profit Gerry makes on each box sold.

Chloe makes flapjacks. A pack of flapjacks costs Chloe 60p to make. She sells the flapjacks for a profit of 30%. For how much does Chloe sell a pack of flapjacks?

Circle your answer.

90p 66p 72p 78p 42p

Rosie recorded the rainfall and the number of hours of sunshine each day last week.

On one day last week, the number of hours of sunshine was low and the rainfall was lower than on any other day. Which day was it?

Circle your answer.

Saturday Sunday Monday Tuesday Can’t tell

Rosie says,

Is Rosie correct?

Yes No

You must give a reason for your answer.

At 3 p.m. each day last week, Rosie recorded the wind speed and the number of birds feeding in her garden.

Was there a correlation between wind speed and the number of birds feeding in Rosie’s garden last week?

Yes No

You must give a reason for your answer.

The greatest wind speed at 3 p.m. last week was on Tuesday.

How many birds were feeding in Rosie’s garden at this time?

On Wednesday last week, the wind speed at 3 p.m. was a quarter of that on Friday.

Complete the following table.

Albert, Terri and Gareth are going camping.

Albert, Terri and Gareth paid for a tent between them. The amount they each paid for the tent was in the ratio 1: 4: 6 respectively. Gareth paid £66.36 towards the tent.

Calculate the cost of the tent.

The charge to stay at a campsite has increased by 5% each year for the last two years. Two years ago, the charge was £24 per night for a large tent and three people.

Calculate the current charge per night for a large tent and three people.

You must show all your working.

The diagram shows the groundsheet of a tent.

The area of the groundsheet is 6.8 m₂. The width of the groundsheet is 2.2 m.

Calculate the overall length of the groundsheet.

The scale diagram below shows Haydn’s garden.

His garden is 27 metres long and 18 metres wide. The scale used is 1 cm represents 3 metres.

Haydn is planting a tree in his garden.

He decides that the tree must be planted: • 15 metres from the fence, • equidistant from the house and the fence.

Draw suitable lines on the diagram and show where Haydn should plant the tree.

There are 600 pupils in a school.

8 of these pupils are to be selected to discuss changes to the school uniform.

The headteacher has a spreadsheet of the names of all 600 pupils. There are 600 rows of pupil names in the spreadsheet, starting at row 1. There is one pupil name on each row.

The headteacher uses a systematic sampling method.

The first pupil selected on the headteacher’s list is a boy whose name is in the 25th row.

Give the row numbers in the spreadsheet of the other 7 pupils who would be selected.

Complete the table below.

Explain how the headteacher selected the first pupil.

Meinir is planning a charity event to be held at a hotel.

A section of a straight line graph showing the hotel charges for this event is shown below. These charges include a single payment for the room hire and the cost of one drink for each person attending.

Overall cost (£)

Meinir decides to pay the room hire cost herself. She decides to price the tickets so that she will be able to make £500 to give to charity.

Calculate the selling price of each ticket if Meinir plans the event for 50 people.

Calculate the selling price of each ticket if Meinir plans the event for 400 people.

A square piece of card measures 1 m by 1 m.

Calculate the area of this piece of card.

Give your answer in standard form in mm².

Some fabric shrinks when it is washed.

A piece of fabric is washed twice.

After the first wash, the area of the fabric is 75% of the area of the original piece of fabric. After the second wash, the area of the fabric is 90% of the area of the fabric after the first wash.

After these two washes, the area of the fabric is 2700 cm².

Calculate the area of the original piece of fabric.

A box for mints is to be made in the shape of a hexagonal prism.

The cross-section of the box is a regular hexagon. The volume of the box must be greater than 230 000 mm³.

Using the measurements above, show that this would make a suitable box for the mints.

You must show all your working.