Conversion Graphs FSQ1
The following graph can be used to convert kilometres into miles.
Conversion Graphs FS1(a)
Convert 10 km into miles.
Give your answer to 1 decimal place.
Answer type: simple
Answer: 6.2 (miles)
Workings:
1 mark
Conversion Graphs FS1(b)
Convert 5 miles into kilometres
Answer type: simple
Answer: 8 (km)
Workings:
1 mark
Conversion Graphs FSQ2
The following conversion graph can be used to convert between pounds (lbs) and kilograms (kg).
Conversion Graphs FS2(a)
Use the graph to convert 12 lbs to kg
Give your answer to 1 decimal place
Answer type: simple
Answer: 5.4 (kg)
Workings:
Reading from the graph, 12 lbs is equivalent to 5.4 kg
1 mark
Conversion Graphs FS2(b)
Use the graph to convert 4 kg to lbs
Give your answer to 1 decimal place
Answer type: simple
Answer: 8.8 (lbs)Workings:
Reading from the graph, 4 kg is equivalent to 8.8 lbs
1 mark
Conversion Graphs FSQ3
Felipe is travelling from the UK to Singapore.
He visits an exchange bureau to exchange some currency before his departure.
The exchange rate between Singapore Dollars (SGD) and Pounds Sterling (GBP) is 1 \text{ SGD}=0.56 \text{ GBP}
The bureau also charges a fixed fee for all exchanges.
This information is represented in the conversion graph below.
Conversion Graphs FS3(a)
What is the fixed fee in Pounds (£)?
Answer type: simple
Answer: (£) 2
Workings:
The graph starts at a value of 2 on the GBP axis so this is the base cost of each exchange.
Conversion Graphs FS3(b)
How much will Felipe have to spend in order to obtain 20 Singapore Dollars (SGD)?
Give your answer in Pounds (GBP) to two decimal places.
Answer type: Simple
Answer: 13.20 (GBP)
Workings:
1 mark
Conversion Graphs FS3(c)
Use the conversion graph to calculate how many Singapore dollars Felipe will get if he spends 20 GBP
Give your answer to the nearest pound.
Answer type: simple
Answer: 32 (SGD)
Workings:
1 mark
Conversion Graphs FS3(d)
Felipe has 200 GBP to spend at the exchange.
Felipe states “I can use the graph to work out many Singapore Dollars I will get for £20 and multiply this value by 10“.
Is he correct?
Answer type: multiple choice
Answer: NO
Wrong answers: YES
Workings:
He is wrong, as he first has to factor in the exchange fee of £2 before he can do the conversion. So he needs to convert £198 using the given exchange rate.
Conversion Graphs FS3(e)
Considering your answer from part(d), which of the following options gives the amount he will receive to the nearest SGD if he exchanges 200 GBP?
Answer type: multiple choice
Answer: 354 SGD
Wrong answers:
357 SGD
318 SGD
320 SGD
Workings:
In order to calculate how much he will get for 200 GBP, the £2 fee must be subtracted.
200-2=198He then has to use the exchange rate given to calculate the correct amount in SGD.
1 \text{ SGD}=0.56 \text{ GBP} so 198 \text{ GBP} = \dfrac{198}{0.56} \text{ SGD} = 354 \text{ SGD} (nearest SGD)
Conversion Graphs FSQ4
Raymond is a chef.
He is following a recipe to make risotto for 4 people.
The recipe says he must use 1 pint of vegetable stock, however his measuring jug has units of litres.
Use the following conversion graph to work out how many litres of vegetable stock Raymond will need to make risotto for 28 people.
Give your answer to the nearest litre.
Answer type: simple
Answer: 4 litres
Workings:
The recipe is for 4 people and he is cooking for 28, so he will have to increase the quantity of stock by a factor of 28\div 4 = 7
Thus, he needs 7 pints of stock.
Reading from the conversion graph, 7pints of stock is equivalent to 4 litres
3 marks
Conversion Graphs FSQ5
An architect designs a building featuring a rectangular room measuring 26 ft by 12 ft.
The following conversion graph can be used to convert feet (ft) to metres (m).
Conversion Graphs FS5(a)
Use the conversion graph to convert 12 ft into metres (m)
Give your answer to 1 decimal place.
Answer type: simple
Answer: 3.6 (m)
Workings:
Reading from the graph, 12 ft is equivalent to 3.6 m (to one decimal place)
Conversion Graphs FS5(b)
Use the conversion graph to convert 22 ft into metres (m)
Give your answer to 1 decimal place.
Answer type: simple
Answer: 6.8 (m)
Workings:
Reading from the graph, 22 ft is equivalent to 6.8 m (to one decimal place)
Conversion Graphs FS5(c)
Calculate the area of the room in metres.
Give your answer to 2 decimal places.
Answer type: simple
Answer: 24.48 m^2
Workings:
3.6\times6.8=24.482 marks
Conversion Graphs FSQ6
The following conversion graph may be used to convert temperature from degrees Fahrenheit (\degreeF) to Celsius (\degreeC.
Conversion Graphs FS6(a)
Standard room temperature is 20\degreeC
Use the conversion graph to convert this temperature to degrees Fahrenheit (\degreeF).
Answer type: simple
Answer: 67 \degreeF
Workings:
Reading from the graph, 20\degreeC is equivalent to 67\degreeF
1 mark
Conversion Graphs FS6(b)
In 1990, Wales recorded its record high temperature of 95\degreeF
Use to conversion graph to work out the value of this temperature in degrees Celsius (\degreeC)
Answer type: simple
Answer: 35 \degreeC
Workings:
Reading from the graph, 95\degreeF is equivalent to 35\degreeF
1 mark