Numeracy · WJEC 3310 · Unit 2: Calculator-allowed · Intermediate · November 2020
Maldwyn sells flags, scarves and hats outside a stadium.
At the end of a football match, Maldwyn sells his remaining flags, scarves and hats at sale prices.
Calculate the cost of buying two flags in the sale.
[2]
Before the sale, a hat cost £3.99. In the sale, the hat costs £2.66. By what fraction has the cost of the hat been reduced?
Circle your answer.
[1]
How many of the pupils in class 10A take part in both judo and running?
Circle your answer.
1 8 4 3 21
[1]
How many of the pupils in class 10A take part in swimming?
Circle your answer.
9 4 14 3 21
[1]
How many of the pupils in class 10A do not take part in judo?
Circle your answer.
9 10 20 24 15
[1]
Calculate the percentage of the pupils in class 10A who do not take part in swimming, running or judo.
Give your answer correct to 1 decimal place.
[4]
1080 people were asked to choose their favourite vegetable. The pie chart shows the results.
How many people chose broccoli as their favourite vegetable?
You must show all your working.
[3]
How many more people chose carrots than chose sprouts as their favourite vegetable?
You must show all your working.
[3]
420 people selected peas as their favourite vegetable. They were asked which they preferred: fresh peas, frozen peas or tinned peas. Of these 420 people, 
said they preferred fresh peas. Twice as many people preferred frozen peas to tinned peas.
How many of these people preferred frozen peas?
[4]
Each week in Ysgol Derwen, the headteacher calculates the mean attendance for each class.
This is the mean number of half-days per week that students have attended school from Monday to Friday.
There are 5 classes in Year 11. The headteacher has partially completed a table recording Week 1 attendance for each class in Year 11, as shown below.
| Class | Number of pupils | Total number of half-days attended in Week 1 | Mean attendance for the 10 half-days in Week 1 |
| 11A | 28 | 238 | 8.5 |
| 11B | 25 | ................................ | 7.4 |
| 11C | 32 | ................................ | 9.5 |
| 11D | 30 | 270 | 9.0 |
| 11E | 25 | ................................ | 6.6 |
| Total | ................................ | ................................ |
Complete the table.
Hence calculate the overall mean attendance for all of Year 11 in Week 1 at Ysgol Derwen.
You must show all your working.
Overall mean attendance for all of Year 11 is........
[3]
Last year, Simone’s total income before tax was €30 000.
The tax bands, taxable income and tax rates last year were as follows:
Show that Simone should have paid €900 tax at the basic rate.
You must show all your working.
[2]
Calculate Simone’s total tax bill last year.
You must show all your working.
[4]
In May 2018, the population of Wales was approximately 3 150 000.
Of this population, approximately 286 500 people were aged 75 or over.
In May 2018, a survey in Wales found the following: • 85% of the population of Wales used the internet, • 99% of people aged 16 to 24 used the internet, • 40% of people aged 75 or over used the internet.
In May 2018, how many people in Wales did not use the internet?
[2]
Of all the internet users in Wales in May 2018, what percentage were aged 75 or over? Give your answer correct to 2 significant figures.
You must show all your working.
[5]
35 000 acres of urban gardens in Cuba produced 3.4 million tonnes of food in 2002.
Calculate the number of tonnes of food produced per km2 in urban gardens in Cuba in 2002.
You must show all your working.
[4]
Formula One cars are some of the fastest racing cars in the world.
Complete the following statement.
‘Top speeds of Formula One cars are up to........ mph.’
[2]
Calculate Alonso’s average lap time for the 2007 Monaco Grand Prix. Give your answer in minutes.
You must show all your working.
[4]
Typical exchange rates in 2018 were as follows. • £1 = 1.38 US dollars • £1 = 1.14 euros
In 2018, the average annual cost of running a Formula One race team was 250 million US dollars.
Complete the following statement.
‘In 2018, the average monthly cost of running a Formula One race
team was........ million euros.’
You must show all your working.
[4]
Ruth measures the lengths of 5 square pictures.
The measurements she records are as follows.
21 cm 22 cm 23 cm 24 cm 26 cm
Each of these measurements is correct to the nearest cm.
She plans to display all 5 pictures in a line, edge to edge, on a shelf of a bookcase. The length of the shelf is 120 cm, correct to the nearest 5 cm.
Show that the shelf could be 1 cm too short to display all 5 of these pictures.
You must show all your working.
[4]
In March 2014, there were an estimated 6 550 000 000 two pence coins in circulation.
Calculate the value of these 2p coins in pounds (£). Give your answer in standard form.
You must show all your working.
[3]
Calculate the angle, x, at which the tower leans. Give your answer correct to 2 decimal places.
You must show all your working.
[4]
Ceri plans to make a poster that is mathematically similar to the Leaning Tower of Pisa.
Calculate the height of the poster Ceri plans to make.
[2]
On Wednesday, there were no cars in a car park when it opened at 7:00 a.m.
From 7:00 a.m., the number of cars entering the car park was recorded.
The cumulative frequency diagram has been drawn from the results.
How many cars had entered the car park by 7:35 a.m.?
[1]
The first car entered the car park at 7:21 a.m. The last car entered the car park at 7:44 a.m.
Draw a box-and-whisker plot using this information and the data from the cumulative
frequency diagram.
[3]
The paper as printed
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