Existing user?
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Here are four graphs.
Each graph shows y plotted against x.
Write down the letter of the graph that shows y directly proportional to x.
Write down the letter of the graph that shows y inversely proportional to x.
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4 kg of potatoes cost £2.60
Work out the cost of 7 kg of potatoes.
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Here is a list of ingredients for making 10 pancakes.
Ingredients for 10 pancakes
Riaz wants to make 25 pancakes.
Work out how much of each of the ingredients he needs.
flour ....................................................... g
eggs .......................................................
milk ....................................................... ml
butter ....................................................... g
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It takes 3 painters 8 hours to paint the walls of a school hall.
Assume that each painter works at the same rate.
Work out how long it would take 4 painters to paint the walls of the hall.
In fact, one of the 4 painters works more slowly than the other three.
How does this affect your answer to part (a)?
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A garden centre sells bags of compost. The table shows the cost of three different numbers of bags.
| Number of bags | 3 | 5 | 8 |
|---|---|---|---|
| Cost | £7.50 | £12.50 | £21.00 |
Sunil says,
"The cost is in direct proportion to the number of bags."
Is Sunil right?
You must show how you get your answer.
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A building job is to be completed by a team of workers.
The number of days, d, needed to complete the job is given by
d=w60
where w is the number of workers in the team.
Work out the number of days needed when there are 5 workers in the team.
The job must be completed in 4 days.
Work out the number of workers needed in the team.
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A shop sells rope by the metre. The cost of the rope is directly proportional to its length.
The graph can be used to find the cost of up to 10 metres of rope.
Use the graph to find the cost of 5 metres of rope.
Rachel spends £14 on this rope.
Use the graph to find the length of rope she buys.
Work out the cost of 35 metres of this rope.
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Maria is making fruit punch for a party.
To make 5 litres of fruit punch she needs
There will be 60 people at the party.
Each person will be given 250 ml of fruit punch.
In the shop,
Maria has £13 to spend.
Does Maria have enough money to buy all the orange juice and all the lemonade she needs?
You must show all your working.