Furlongs and yards are both measures of length.
In the past, these measures were used in farming. The conversion graph below can be used to convert between furlongs and yards.
Complete each of the following statements.
330 yards is equal to........ furlongs.
[1]
7 furlongs is equal to........ yards.
[2]
1320 yards is equal to........ furlongs.
[2]
Viktor is a farmer.
A bag of feed for Viktor’s chickens usually costs £26. This week, Viktor gets a discount. The feed will now cost £21.
By what fraction has the chicken feed been discounted?
Circle your answer.
[1]
Viktor sells butter and ice cream in his farm shop. He sells his butter in 250 g packets. Each packet costs £3.25.
Sioned buys 500 g of butter and 1.5 litres of ice cream. She pays a total of £18.50 for the butter and the ice cream.
Calculate the cost of 1 litre of ice cream.
1 litre of ice cream costs £........
[4]
Calculate the capacity of the new water trough in m3.
[2]
In Ralph’s survey, 480 people answered ‘Town or city’.
Calculate the number of people who answered ‘Seaside’ in Ralph’s survey.
[3]
In Dewi’s survey, how many people live by the seaside in a town or city?
Circle your answer.
430 122 572 662 142
[1]
Calculate how many people in Dewi’s survey did not live by the seaside.
Circle your answer.
462 694 552 604 430
[1]
The flight manager has drawn a frequency diagram to display her findings. She used groups of width 10 minutes:
How many passengers waited less than 10 minutes to be served?
[1]
How many passengers were on this flight to Spain?
[2]
What fraction of the total number of passengers had to wait 40 minutes or more to be served a drink?
Express your answer in its simplest form.
[2]
What is the modal group of these recorded times?
[1]
In this question you will be assessed on the quality of your organisation, communication and accuracy in writing.
Ewan keeps bees and sells jars of honey.
For both sizes of jar, Ewan charges the same price per 100 ml for the honey itself.
Ewan charges his customers £3.40 for a 500 ml jar of honey. This price is for the honey and the jar.
How much should Ewan charge for a 200 ml jar of honey?
You must show all your working.
[6]
A survey was carried out to find how many books children read during the holidays.
The following two questions were asked in a questionnaire.
Q1. Most children read lots of books.
Do you read lots of books?........
Q2. How many books do you read during the holidays?
None 1–10 books 10–20 books More than 20 books
Give one reason why Q1 was not a suitable question.
[1]
Give one reason why Q2 was not a suitable question.
[1]
The survey was carried out by asking children as they left the library on a Saturday morning.
Give one criticism of how the survey was carried out.
[1]
Nadya borrowed £500 from a loan company.
The loan company told her that she would pay more than 100% interest. Nadya paid off the loan and interest completely by paying back £55 each month for 2 years. What percentage interest did Nadya actually pay?
You must show all your working.
[4]
Last year, Jade’s total income before tax was €20 000.
The table below shows the tax bands, taxable income and tax rates last year.
Calculate Jade’s total tax bill last year.
You must show all your working.
[4]
When Hassan has a bath, he fills it with 30 gallons of water.
When Hassan has a shower, water flows from his shower at a rate of 0.2 litres per second. Hassan uses the same amount of water whether he has a bath or a shower.
How long does he spend in the shower? Give your answer in minutes and seconds.
You must show all your working.
Use: 1 gallon ≈ 4.5 litres
Time in the shower is........ minutes........ seconds
[6]
Dafydd and Mia both play musical instruments.
The box-and-whisker diagrams below show the masses of the tomatoes.
What is the range of the masses for the Sungold tomato plants?
[1]
How many of the Roma plants produced 22 kg or less of tomatoes?
[2]
The diagram shows Davina’s garden.
Davina wants to put a 5 cm layer of topsoil on her garden.
What volume of topsoil will Davina need for her garden?
Give your answer in cm3 in standard form.
[5]
A solid triangular prism is placed along the bottom of a door to stop draughts.
The length of the triangular prism is equal to the width of the door. The triangular prism is shown below.
The volume of the triangular prism is 546 cm3. Calculate the width of the door.
You must show all your working.
[3]
Aled is a gardener.
In April, he records how many minutes he spends working in each of his customers’ gardens.
He draws a cumulative frequency diagram to display the findings.
Find the median time that Aled spends working in the garden for these customers.
[1]
For how many customers did Aled spend between 10 and 30 minutes working in their
garden?
[1]
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