Numeracy · WJEC 3310 · Unit 2: Calculator-allowed · Foundation · November 2016
There is a coastal path around Anglesey.
Cennydd took 8 days to complete the walk around the coastal path. He recorded the number of miles that he walked on each of the 8 days.
20, 17, 10, 19, 15, 14, 13, 17
What is the median number of miles walked each day?
[2]
In this part of the question, you will be assessed on the quality of your organisation, communication and accuracy in writing.
Mr Jones paid for the breakfast with two £10 and three £5 notes, and told the waitress to keep the change as a tip. A reasonable tip is thought to be more than 10% of the total cost of the bill.
Explain whether or not Mr Jones gave the waitress a reasonable tip.
You must show all your working.
[6]
The number of people entitled to vote at a National Assembly for Wales election in 2014 is given
What is the total number of people entitled to vote?
[1]
The South Wales region is split into South West, Central and South East Wales.
| South Wales region | Number of people |
| South West | 395 019 |
| Central | 496 249 |
| South East | |
| Total | 1 358 971 |
What is the total number of people entitled to vote in South East Wales?
[2]
The number of people entitled to vote at a National Assembly for Wales election in 2014 is given below, correct to the nearest hundred thousand.
| Region | Number of people |
| South Wales | 1 400 000 |
| Mid Wales | 400 000 |
| North Wales | 500 000 |
Use the squared paper below to draw a suitable bar chart to represent this data.
[2]
Jane lives in Cardiff and plans to travel to Bangor.
Jane considers catching the train.
TRAIN TIMES: CARDIFF TO HOLYHEAD
| Cardiff Central | 05:10 | 07:21 | 09:21 |
| Hereford | 06:25 | 08:27 | 10:27 |
| Chester | 08:19 | 10:19 | 12:19 |
| Bangor | 09:33 | 11:38 | 13:28 |
| Holyhead | 10:22 | 12:22 | 14:22 |
Jane wants to arrive at Bangor before 1 p.m. She could catch the 07:21 train from Cardiff Central.
How long would the train journey to Bangor take?
[1]
Jane knows that her car travels 50 miles on one gallon of petrol. The cost of petrol is £5.90 per gallon. How much will the petrol cost for Jane to drive from her home to Bangor?
You must show all your working.
[2]
Jane needs to take a break after every 1 hour 15 minutes of driving.
How many breaks will she need to take before reaching Bangor?
[1]
Jane decides to allow five and a half hours for the whole journey. She needs to arrive in Bangor by 1 p.m.
What is the latest time she should leave Cardiff?
[1]
Dafydd plans to hire a van.
He can only hire the van for a whole number of days. The cost of hiring the van is given by the formula:
hire cost = £42 × number of days + booking fee
Circle either TRUE or FALSE for each of the following statements.
| When the booking fee is £18, the hire cost for 2 days is £102. | TRUE | FALSE |
| The hire cost is always greater than the booking fee. | TRUE | FALSE |
| When the van is hired for one extra day, the hire cost will be an extra £42. | TRUE | FALSE |
| The hire cost for 2 days is double the hire cost for 1 day. | TRUE | FALSE |
[2]
Explain why the hire cost cannot be £124 when the booking fee is £18.
You must show all your working.
[2]
The diagram shows the plan of the floor of Nick’s room.
Nick is going to fit square carpet tiles to cover the floor.
How much will it cost Nick to cover his floor with these carpet tiles?
You must show all your working.
[4]
The travel graph below shows a journey Gareth made yesterday.
Distance from home (km)
How far away from home was Gareth at 15:00?
Circle your answer.
0 km 2 km 4 km 6 km 8 km
[1]
At what time did Gareth arrive back home?
Circle your answer.
14:00 16:30 18:45 19:15 19:30
[1]
Sometime after 5p.m., Gareth headed for the supermarket. The supermarket was closed when he got there so he headed straight back home. At what time did Gareth arrive at the supermarket?
Circle your answer.
17:00 17:30 18:00 18:15 18:30 19:00
[1]
Gareth did not stop for the whole of the time between 15:00 and 15:30.
What could the travel graph tell you about his journey between these times?
[1]
Ewan is going on holiday to India.
He has saved £450 to exchange for Indian rupees.
Ewan exchanges his money on arrival in India. The exchange rate is now £1 = 99.72 rupees.
The exchange bureau only has 500 rupee notes. Ewan wants to buy as many rupees as possible with his £450 savings.
How much of his £450 will Ewan spend buying rupees? Give your answer correct to the nearest penny.
You must show all your working.
[4]
36 000 people took part in a survey to find out their favourite type of TV programme. The pie chart shows the results.
How many people chose Drama as their favourite type of TV programme?
You must show your working.
[3]
Twice as many women as men chose Talent shows as their favourite type of TV programme. Calculate how many women chose Talent shows.
You must show your working.
[3]
1000 people were asked,
‘Should news programmes include details of the weather? Yes or No?’
70% of the people answered ‘yes’. A pie chart is to be drawn to represent the answers to this question.
What size would the angle be to represent the answer ‘yes’?
Angle representing ‘yes’ is........ °
[2]
Nerys and Eleri are sisters. Nerys is 22 years old and Eleri is 27 years old.
The two sisters live in Holyhead. Their aunt lives in Milford Haven. They travel by train to visit their aunt 3 times a year.
Nerys buys a 16-25 Railcard to use for these journeys. They buy single rail tickets for each journey. The cost of a single rail ticket from Holyhead to Milford Haven is £84.50. The journey home from Milford Haven also costs £84.50 per ticket.
In a year, how much less does Nerys pay than Eleri for the journeys to Milford Haven and back?
You must show all your working.
[5]
Cristiano is 22 years old. He sometimes travels from Rhyl to Llandudno Junction by train. The cost of a single rail ticket from Rhyl to Llandudno Junction is £7.80.
Nerys advises Cristiano to buy a Railcard. Cristiano says,
How many times in a year would Cristiano have to travel to make it worthwhile for him to
buy a Railcard?
[3]
Loretta is paid in euros.
She is checking her tax bill for last year.
The tax rates last year were as follows:
• No tax on the first €3500 of earnings • Earnings in excess of €3500 and up to €10 500: taxed at a rate of 25% • Earnings above €10 500: taxed at a rate of 35%
Last year, Loretta’s total earnings before tax were €34 500.
How much tax did Loretta pay in total?
You must show all your working.
[6]
The paper as printed
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