Shiona is saving to pay for a holiday.
She has 13 weeks to save £510 to pay for her holiday.
Shiona already has savings of £95. In the first week, she knows she can save £70.
She plans to save equal amounts of money in each of the remaining weeks.
How much does Shiona need to save in each of the remaining weeks so that she can pay for her holiday?
You must show all your working.
[4]
Idris flies from Cardiff to Faro, in Portugal.
The actual flying time is 133 minutes. The plane flies at an average speed of 8 miles per minute.
Calculate the flying distance between Cardiff and Faro.
Give your answer in miles.
[2]
Calculate the plane’s average speed in miles per hour.
[2]
Idris takes a cabin bag on board his flight. His bag measures 55 cm by 40 cm by 23 cm. The label on his cabin bag says,
Is this label correct?
Yes No
You must show all your working and give a reason for your answer.
[3]
Find the size of each of the angles a, b, c and d.
[4]
Gracie knows that the exchange rate is £1 = $1.25.
She wants to buy the ZX31 camera that is the best value for money.
Which of the advertisements offers the best option for Gracie?
You must show all your working.
[7]
During the 30 days in the month of September, Andras used 138 m3 of gas.
The cost of this gas was 12p per kWh.
The formula used to calculate the number of kWh for the gas used is as follows: Number of kWh = number of m3 of gas × 39.5 × 1.02264 ÷ 3.6
The standing charge was 32p per day. VAT at 5% was payable on the sum of the cost of the gas used and the standing charge.
Calculate Andras’s gas bill for September.
You must show all your working.
[7]
The Severn Bridge was built in 1966 to allow vehicles to travel between England and Wales.
The bridge has a width of 23 m and a total length of 1600 m. The section of the bridge between the two towers is 988 m long.
The tarmac road surface is 0.035 m thick.
The cables from the towers to support the road are made from 18 000 miles of wire.
What fraction of the total length of the bridge is the section between the two towers?
Give your fraction in its simplest form.
[2]
Calculate the length of the wire used to make the cables in kilometres.
[2]
The cost of tarmac is £250 per m3.
Calculate the cost of the volume of tarmac needed to resurface the total length of the
Severn Bridge.
[3]
A survey was carried out to find the total time people took to read the book ‘Wales is a Celtic Country’. The results are shown in the frequency polygon below.
How many of the people in the survey took 24 hours or more to read this book?
Circle your answer.
13 34 47 24 84
[1]
Four books are placed in a stack.
The thickness of each of the books is as follows:
22 mm 25 mm 29 mm 31 mm
The thickness of each book is measured correct to the nearest mm.
Show that the total height of the stack of these four books cannot be more than 109 mm.
[3]
How much would be saved per week if the 8 street lights were only on from 7 p.m. to 5 a.m.? Give your answer in pounds, correct to the nearest penny.
You must show all your working.
[5]
Calculate an estimate of the mean number of walks per person each week.
[4]
High tide in the morning is, on average, 35 minutes later each day. The morning high tide on 3rd March was at 08:03.
At what time was the morning high tide on 1st March?
[1]
A new concrete sea-defence wall is to be built. The sea-defence wall will have a uniform cross-section. A sketch of the new wall is shown below.
Calculate the volume of concrete needed to make this new sea-defence wall.
You must show all your working.
[7]
An estimated 500 000 000 people live near active volcanoes.
What is 500 000 000 written in standard form?
[1]
The teragram is a unit of mass. 1 teragram = 109kg
Last year, a volcano released a total of 140 teragrams of carbon dioxide in 300 days.
Calculate the average number of kilograms of carbon dioxide that were released by this volcano per hour. Give your answer correct to 3 significant figures.
You must show all your working.
[5]
The surface area of Venus is 460 234 320 km2. The surface of Venus is wrinkled-volcanic, smooth-volcanic or non-volcanic. The areas of these three different types of surface are in the ratio 7: 1: 2.
Wrinkled-volcanic: Smooth-volcanic: Non-volcanic = 7: 1: 2
Calculate the total surface area of Venus that is volcanic.
You must show all your working.
[3]
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