Proportion

A shop sells boxes of almonds.

12 of these boxes cost a total of 708 dirhams.

Work out the cost of 5 of these boxes.

9 15 identical pencil cases cost 41.25 Swiss francs.

Work out the cost of 52 of these pencil cases.

At a games club, people played chess or mahjong or rummy or whist. Each person played only one of these games.

Helena starts to draw a pie chart to show information about the games played.

Work out the number of people who played chess.

40 people played whist.

Work out the size of the angle on the pie chart for the sector representing whist. You do not need to complete the pie chart.

David is going to make some biscuits.

Here is a list of ingredients for making 24 biscuits.

David has

five 250 g packs of butter

750 g of sugar

1.4 kg of flour

Work out the maximum number of biscuits that David can make. Show your working clearly.

The combined savings of Abel and Bahira are 15 435 dinars.

The savings of Bahira are 45% more than the savings of Abel. The savings of Bahira are times the savings of Chanda.

Work out the savings of Chanda.

Yuan sells fudge in small bags and in large bags.

Work out which bag is the better value for money. Show your working clearly.

Johan wants to make some small cakes.

He finds a recipe that says he needs 360 grams of flour to make 15 small cakes.

Johan has 0.85 kg of flour.

Johan works out how much flour he would need to make 38 small cakes, using the information given in the recipe.

Does Johan have enough flour, according to the recipe, to make 38 small cakes? Show your working clearly.

Anjali, Ravina and Sandeep were the three candidates in an election.

Heidi draws a pie chart for the number of votes received by each of the three candidates.

The angle in the pie chart for the number of votes received by Anjali is 90° The angle in the pie chart for the number of votes received by Ravina is 160°

Ravina received 400 votes.

Work out the number of votes Sandeep received.

The diagram shows the front of a wooden door with a semicircular glass window.

Julie wants to apply 2 coats of wood varnish to the front of the door, shown shaded in the diagram.

250 millilitres of wood varnish covers 4 m² of the wood.

Work out how many millilitres of wood varnish Julie will need. Give your answer correct to the nearest millilitre.

In 2018, the population of Sydney was 5.48 million. This was 22% of the total population of Australia.

Work out the total population of Australia in 2018 Give your answer correct to 3 significant figures.

The diagram shows the front of a wooden door with a semicircular glass window.

Julie wants to apply 2 coats of wood varnish to the front of the door, shown shaded in the diagram.

250 millilitres of wood varnish covers 4 m² of the wood.

Work out how many millilitres of wood varnish Julie will need. Give your answer correct to the nearest millilitre.

In 2018, the population of Sydney was 5.48 million. This was 22% of the total population of Australia.

Work out the total population of Australia in 2018 Give your answer correct to 3 significant figures.

Sabbir has some boxes of bananas and some sacks of tomatoes. The weight of each box of bananas is the same and the weight of each sack of tomatoes is the same.

The weight of 3 boxes of bananas is 42 kg. The weight of 8 sacks of tomatoes is 68 kg.

Work out the total weight of 9 boxes of bananas and 15 sacks of tomatoes.

The diagram shows a container for water in the shape of a prism.

The rectangular base of the prism, shown shaded in the diagram, is horizontal. The container is completely full of water.

Tuah is going to use a pump to empty the water from the container so that the volume of water in the container decreases at a constant rate.

The pump starts to empty water from the container at 10 30 and at 12 00 the water level in the container has dropped by 20 cm.

Find the time at which all the water has been pumped out of the container.

Toy cars are made in a factory. The toy cars are made for 15 hours each day. 5 toy cars are made every 12 seconds.

For the toy cars made each day, the probability of a toy car being faulty is 0.002

Work out an estimate of the number of faulty toy cars that are made each day.

17Here is a list of ingredients needed to make apple crumble for 6 people.

Nadiya wants to make apple crumble for 14 people.

Work out the amount of butter she needs.

Alison makes apple crumble for a group of people.

She uses 630 g of oats.

Work out the number of people in the group.

At a cake sale, Michael sells some lemon cakes and some chocolate cakes.

the number of lemon cakes he sells: the number of chocolate cakes he sells = 2: 7

Michael sells a total of 162 cakes.

Work out the number of lemon cakes Michael sells.

In a shop,

3 bottles of juice cost $5.25

2 bottles of juice and 5 bars of chocolate cost $9.75

Work out the cost of 5 bottles of juice and 3 bars of chocolate.

Here are five mathematical signs

Write one of these five signs in each box so that each of these statements is true.

The table gives information about the boiling points and the freezing points of some elements.

Which of these elements has the lowest boiling point?

Which of these elements has the largest difference in temperature between its boiling point and its freezing point?

Dr Strauss is going to cool chlorine from its boiling point to its freezing point. He knows that it will take 2 minutes for the temperature of the chlorine to go down 10C.

Work out how long it will take the chlorine to cool from its boiling point to its freezing point?

Iona buys a box of cereal.

The cereal in the box weighs 0.75 kg. Each helping of the cereal eaten by Iona has a weight of 40 g.

Write 40 g as a fraction of 0.75 kg. Give your answer in its simplest form.

The cereal in the box contains 6.8 g of protein for each 100 g of cereal.

Work out the amount of protein in each of Iona’s helpings of cereal.

3 g of every 40 g helping of cereal is fat.

Write 3 g as a percentage of 40 g.