Mold is on a bearing of 065° from Ruthin. What is the bearing of Ruthin from Mold?
Circle your answer.
245° 095° 295° 125° 315°
[1]
When it is 19:40 in Cardiff, it is 23:40 in Dubai.
What time is it in Dubai when it is 13:30 in Cardiff?
Circle your answer.
15:30 10:30 09:30 17:30 19:30
[1]
What time is it in Cardiff when it is 02:10 in Dubai?
Circle your answer.
20:10 06:10 22:10 10:10 00:10
[1]
Find the size of each of the angles a, b, c and d.
[4]
Mrs Butler asked all her friends how many pairs of shoes they own. Here are the results.
| Number of pairs of shoes | 1 to 6 | 7 to 12 | 13 to 18 |
| Number of people | 1 | 5 | 8 |
Mrs Butler says, ‘Most people in Wales own more than 12 pairs of shoes.’
Is Mrs Butler correct in using this data to come to this general conclusion?
You must give a reason for your answer.
Yes No
[1]
Write down different groups Mrs Butler could have chosen so that all of the data can be
analysed more accurately.
[2]
In this part of the question, you will be assessed on the quality of your organisation, communication and accuracy in writing. Jade is planning a weekend break to celebrate her 21st birthday. The weekend break costs £350. Jade’s father says, ‘If you save 21% of your earnings each week for the next 20 weeks, I will give you the rest of the money you need.’ Jade earns £72 per week. How much is Jade’s father offering to pay towards her weekend break?
You must show all your working.
[6]
Jade’s new suitcase weighs 3 kg. When it is packed, her suitcase must not weight more than 25 kg altogether.
What percentage of the 25 kg does Jade have left for packing?
[2]
Which one of the following formulae could be used to work out the volume of Jade’s new suitcase? a, b and c are measurements of the 3 dimensions of the suitcase.
Circle your answer.
[1]
Jade needs a new passport photograph. A passport photograph must be 45 mm high by 35 mm wide.
Jade has a mathematically similar photograph that she could reduce in size to use as her new passport photograph. The height of this photograph is 9 cm.
Calculate the width of this photograph.
[2]
Draw a sketch of the plan view of the mountain hut.
[1]
This mountain hut is shown on a map. The scale of the map is 1: 50 000. On the map the mountain hut is 4.2 cm from a farmhouse. How far away is the hut from the farmhouse?
Give your answer in km.
[3]
The map is drawn using a scale of 2 cm represents 1 km.
How far will Efail turbine be from D 
r turbine? 
You must use constructions to answer this question, using only a pair of compasses
[4]
Gwen records the time she spends writing each of 240 text messages.
She finds the following. • The greatest time is 1 minute 5 seconds. • The range of the times is 60 seconds. • The median is 45 seconds. • The lower quartile is 23 seconds. • The interquartile range is 32 seconds.
Use the graph paper to draw a box-and-whisker diagram to represent Gwen’s data.
[5]
How many of these text messages took Gwen more than 23 seconds to write?
[2]
Use the table below to give the positions in the queue of the 8 people who would receive
vouchers.
| Voucher | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| Position in the queue | 6th | ..................... | ..................... | ..................... | ..................... | ..................... | ..................... | ..................... |
[2]
Gerallt used his 20% off voucher to buy tickets. He paid £120 for tickets using the voucher.
How much would these tickets have cost Gerallt without a voucher?
Cost without a voucher £........
[2]
Cellan is planning to invest a sum of money into a savings account.
Cellan has picked up a leaflet describing an account offered by a local bank. The details of the account are shown below.
Calculate the Annual Equivalent Rate (AER) that The Gower account is offering.
Give your answer as a percentage.
[5]
Cellan decides to invest his savings of £3000 into a ‘Gower’ savings account. He plans to save enough money to buy a motorbike costing £3200.
Calculate how much short of the £3200 Cellan would be after 1 year.
[4]
A group of pupils sat a mathematics test.
The teacher grouped their marks using the intervals 1 to 20, 21 to 40, and so on. She then drew the following cumulative frequency diagram to display the results.
Phoebe is one of the pupils who sat the test. Phoebe says, ‘The cumulative frequency diagram shows that the median mark was 70.’
Explain why the median mark may not be 70.
[1]
Consider the pupils who had a mark of 80 or less.
How many of these pupils would have needed to score more than 80 for Phoebe’s estimate of the median to be 80?
Circle your answer.
10 12 18 5 20
[1]
Each of the 250 Year 10 pupils in Blaengwyn school study one foreign language at GCSE.
The table below shows how many pupils chose to study French, German and Spanish.
| French | German | Spanish |
| 75 | 55 | 120 |
The Languages department is planning to take a group of 30 pupils on an educational trip to Europe.
Use a stratified sampling method to calculate the number of Year 10 pupils from each language group that should be taken on the trip.
You must show all your working.
[4]
• t is the time taken, in seconds, • s is the distance travelled, in metres, • u is the starting velocity, in metres per second (ms−1), • v is the final velocity, in metres per second (ms−1).
Vrishank is the first pupil to ride the zip wire. The following values were recorded for a section of his ride:
• s = 195 m, measured correct to the nearest 5 m, • u = 5 ms−1, measured correct to the nearest ms−1, • v = 14 ms−1, measured correct to the nearest ms−1.
Using Aled’s model, calculate the least possible time it could have taken Vrishank to travel
this section of the zip wire.
[4]
Mari is the second pupil to ride the zip wire. Values for a section of Mari’s ride were recorded:
• u = 8 ms−1, measured correct to the nearest ms−1, • v = 21 ms−1, measured correct to the nearest ms−1, • t = 14 s, measured correct to the nearest second.
Using Aled’s model, calculate the greatest possible distance that Mari could have travelled
in this section of her ride.
[4]
An architect has been asked to design a square-based glass pyramid that is to be built in a park.
The vertex at the top of the pyramid will be directly above the centre of the square base. The edges of the pyramid will be made from steel. Each sloping face will be made from glass.
Diagram not drawn to scale
The area of each glass face on the scale model is 74 cm2. (b) The full-size pyramid is to have a vertical height of 1∙6 metres.
Use these values to calculate the area of each glass face on the full-size pyramid.
Give your answer in cm2.
[5]
Taryn made a birthday cake for her brother Carwyn, and placed it on a cake stand.
She made a cylindrical cake of radius 12 cm and height 10 cm. To make the birthday cake look like the letter ‘C’ for Carwyn, she cut out a large slice.
The cake she has left has a uniform cross-section in the shape of a sector of a circle with sector angle 300º.
Taryn wants to put icing on all the visible surfaces of the cake. Calculate the surface area that needs to be covered with icing.
Give your answer, in its simplest form, in terms of 
.
[5]
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