Ratio

Sam wants to use this recipe to make 15 pancakes.

Sam has 200 g flour 250 ml milk 70 g butter 5 eggs Does Sam have enough flour, enough milk, enough butter and enough eggs to make 15 pancakes? You must show all your working.

There are only red counters, white counters, blue counters and green counters in a bag. Chris is going to take at random a counter from the bag. The table shows the probability that he will take a red counter and the probability that he will take a white counter.

There are twice as many blue counters as there are green counters in the bag.

Work out the probability that Chris will take a blue counter.

There are 45 red counters in the bag.

Work out the total number of counters in the bag.

There are 280 chocolates in a box. There are only dark chocolates, milk chocolates and white chocolates. of the 280 chocolates are dark chocolates. The number of milk chocolates: the number of white chocolates = 1: 3 The number of white chocolates: the number of dark chocolates = n: 1

Work out the value of n. You must show all your working.

10 milk chocolates from the box are eaten.

Does this affect your answer to part (a)? Give a reason for your answer.

There are only red counters, white counters, blue counters and green counters in a bag. Chris is going to take at random a counter from the bag. The table shows the probability that he will take a red counter and the probability that he will take a white counter.

There are twice as many blue counters as there are green counters in the bag.

Work out the probability that Chris will take a blue counter.

There are 45 red counters in the bag.

Work out the total number of counters in the bag.

There are 280 chocolates in a box. There are only dark chocolates, milk chocolates and white chocolates. of the 280 chocolates are dark chocolates. The number of milk chocolates: the number of white chocolates = 1: 3 The number of white chocolates: the number of dark chocolates = n: 1

Work out the value of n. You must show all your working.

10 milk chocolates from the box are eaten.

Does this affect your answer to part (a)? Give a reason for your answer.

20% of cars sold last year were electric cars. Write down the ratio of the number of electric cars sold last year to the number of non-electric cars sold last year. Give your ratio in its simplest form.

Sid, Tam and Musa share £6900 in the ratio 2: 3: 5 Work out how much money each person receives.

Here are two lists of numbers.

mean of list A: mean of list B = 3: 5 Work out the value of x.

Sid, Tam and Musa share £6900 in the ratio 2: 3: 5 Work out how much money each person receives.

Here are two lists of numbers.

mean of list A: mean of list B = 3: 5 Work out the value of x.

Milly collects stickers of sports players. She only has stickers of tennis players, football players and cricket players. The incomplete bar chart shows some information about the number of stickers Milly has.

Milly has a total of 40 stickers.

Complete the bar chart.

What fraction of the 40 stickers are stickers of tennis players? Give your fraction in its simplest form.

Ewan also collects stickers. He only has large stickers and small stickers. For Ewan’s stickers, the number of large stickers: the number of small stickers = 5: 4

Write down the fraction of Ewan’s stickers that are large stickers.

Write the ratio 5: 4 in the form n: 1

Gita wants to make 24 litres of green paint. She is going to mix blue paint, yellow paint and white paint in the ratio 4: 3: 1 She has 1 2 litres of blue paint 7 litres of yellow paint 5 litres of white paint. Does Gita have enough blue paint, yellow paint and white paint to make 24 litres of green paint? You must show how you get your answer.

There are 90 red counters and 150 yellow counters in a bag. Write down the ratio of the number of red counters to the number of yellow counters. Give your ratio in its simplest form.

In London, a 200 g Choci bar costs £3.50 In Zurich, a 360 g Choci bar costs 7.20 Swiss francs. The exchange rate is £1 = 1.25 Swiss francs. In which city is the Choci bar the better value for money, in London or in Zurich? You must show how you get your answer.

Robyn buys a total of 240 pens and pencils, where number of pens: number of pencils = 3: 5 Robyn pays 9p for each pen. She sells each pen for 11p. Robyn pays 6p for each pencil. She sells each pencil for 10p. Robyn sells all of the pens and pencils. Work out Robyn’s percentage profit. Give your answer correct to 1 decimal place. You must show all your working.

Robyn buys a total of 240 pens and pencils, where number of pens: number of pencils = 3: 5 Robyn pays 9p for each pen. She sells each pen for 11p. Robyn pays 6p for each pencil. She sells each pencil for 10p. Robyn sells all of the pens and pencils. Work out Robyn’s percentage profit. Give your answer correct to 1 decimal place. You must show all your working.

There are 24 cows and 36 sheep on a farm. Write as a ratio the number of cows to the number of sheep. Give your ratio in its simplest form.

Kasim has some small jars, some medium jars and some large jars. He has a total of 400 jars. of the 400 jars are empty. For the empty jars, number of small jars: number of medium jars = 3: 4 number of medium jars: number of large jars = 1: 2 Work out the percentage of Kasim’s jars that are empty small jars.

Kasim has some small jars, some medium jars and some large jars. He has a total of 400 jars. of the 400 jars are empty. For the empty jars, number of small jars: number of medium jars = 3: 4 number of medium jars: number of large jars = 1: 2 Work out the percentage of Kasim’s jars that are empty small jars.

There are only red discs, blue discs and yellow discs in a bag. There are 24 yellow discs in the bag. Mel is going to take at random a disc from the bag. The probability that the disc will be yellow is 0.16 the number of red discs: the number of blue discs = 5: 4 Work out the number of red discs in the bag.

Andy, Luke and Tina share some sweets in the ratio 1: 6: 14 Tina gives of her sweets to Andy. Tina then gives 12 % of the rest of her sweets to Luke. Tina says, “Now all three of us have the same number of sweets.” Is Tina correct? You must show how you get your answer.

There are only red discs, blue discs and yellow discs in a bag. There are 24 yellow discs in the bag. Mel is going to take at random a disc from the bag. The probability that the disc will be yellow is 0.16 the number of red discs: the number of blue discs = 5: 4 Work out the number of red discs in the bag.

Andy, Luke and Tina share some sweets in the ratio 1: 6: 14 Tina gives of her sweets to Andy. Tina then gives 12 % of the rest of her sweets to Luke. Tina says, “Now all three of us have the same number of sweets.” Is Tina correct? You must show how you get your answer.

Here are the ingredients needed to make 20 shortbread biscuits.

Heidi wants to make 30 shortbread biscuits. How much of each ingredient will Heidi need?

ABC and BCD are isosceles triangles.

AB = BC = CD Angle CAB = 81 Angle BCD = 4×angle ABC Find the size of angle ABC: the size of angle CBD Give your answer in the form 1:n You must show all your working.

There are only red counters and yellow counters in bag A. number of red counters: number of yellow counters = 3: 5 There are only green counters and blue counters in bag B. The number of counters in bag B is half the number of counters in bag A. Given that there are x red counters in bag A, use algebra to show that the total number of counters in bag A and bag B is 4x

10Here are the ingredients needed to make 20 peanut butter cookies.

Derek wants to make 60 cookies. He has 900 g of peanut butter. Does Derek have enough peanut butter to make 60 cookies? You must show how you get your answer.

The diagram shows an isosceles triangle ABD and the straight line ABC.

BA = BD x:y = 2: 1 Work out the value of w.

To cook rice the number of cups of rice (x): the number of cups of water (y) = 4: 5

Use this information to draw a graph to show the relationship between the number of cups of rice and the number of cups of water needed to cook rice.

Find the gradient of the line drawn in part (a).

Explain what this gradient represents.

There are 24 red counters and 40 blue counters in a bag. Write down the ratio of the number of red counters to the number of blue counters in the bag. Give your ratio in its simplest form.

Chris, Debbie and Errol share some money in the ratio 3: 4: 2 Debbie gets £120 Chris then gives some of his share to Debbie and some of his share to Errol. The money that Chris, Debbie and Errol each have is now in the ratio 2: 5: 3 How much money did Chris give to Errol?

Chris, Debbie and Errol share some money in the ratio 3: 4: 2 Debbie gets £120 Chris then gives some of his share to Debbie and some of his share to Errol. The money that Chris, Debbie and Errol each have is now in the ratio 2: 5: 3 How much money did Chris give to Errol?

There are only red counters, blue counters and green counters in a bag. number of red counters: number of blue counters: number of green counters = 2: 16: 7 What fraction of the counters in the bag are green counters?

Blake works 32 hours a week in the UK. She is paid £473.28 per week. Blake applies for a job in Australia. The rate of pay is 26.40 Australian dollars per hour. £1 = 1.796 Australian dollars Blake thinks the rate of pay in Australia is greater than the rate of pay in the UK. Is Blake correct? You must show how you get your answer.

find, in its simplest form, the ratio x:y

Last week, 73% of the tickets sold at a cinema were adult tickets.

What percentage of the tickets sold were not adult tickets?

Some people watched a film at the cinema. number of adults: number of children = 2: 5

What fraction of these people were adults?

On Friday, 500 people watched a film at the cinema. 70% of these people were children. On Saturd ay, 720 people watched the film at the cinema. of these people were children. Kasim thinks more children watched the film on Friday than on Saturday.

Is Kasim correct? You must show how you get your answer.

7 kg of carrots and 5 kg of tomatoes cost a total of 480p cost of 1 kg of carrots: cost of 1 kg of tomatoes = 5: 9 Work out the cost of 1 kg of carrots and the cost of 1 kg of tomatoes.

Here are the first five terms of a sequence. 3 8 13 18 23

Write down the next term of this sequence.

Write down the ratio of the second term to the fourth term. Give your ratio in its simplest form.

There are 48 counters in a bag. There are only red counters and blue counters in the bag. number of red counters: number of blue counters = 1: 2 Helen has to work out how many red counters are in the bag. She says, “There are 24 red counters in the bag because 1 is half of 2 and 24 is half of 48” Is Helen correct? You must give a reason for your answer.

Last year a family recycled 800 kg of household waste. 57% of this waste was paper and glass. weight of paper recycled: weight of glass recycled = 12: 7 Calculate the weight of glass the family recycled.

There are 48 counters in a bag. There are only red counters and blue counters in the bag. number of red counters: number of blue counters = 1: 2 Helen has to work out how many red counters are in the bag. She says, “There are 24 red counters in the bag because 1 is half of 2 and 24 is half of 48” Is Helen correct? You must give a reason for your answer.

Last year a family recycled 800 kg of household waste. 57% of this waste was paper and glass. weight of paper recycled: weight of glass recycled = 12: 7 Calculate the weight of glass the family recycled.

2 a: 5c = 6: 25 4b: 7c = 20: 21 Show that a + b:b + c = 17: 20

There are only red beads and green beads in a bag. number of red beads: number of green beads = 1: 4 There are 35 red beads in the bag. Work out the total number of beads in the bag.

Write (910⁴): (4.510⁶) in the form 1:n where n is an integer.

Write the following numbers in order of size. Start with the smallest number.

The composite bar chart shows information about the number of people living in a village.

Write down the number of men living in the village in the year 2000

Find the number of children living in the village in the year 2010

For the people living in the village in the year 2020

find the ratio of the number of children to the total number of men and women.

There are only blue counters, green counters, red counters and yellow counters in a bag. The table shows the number of blue counters in the bag.

There is a total of 100 counters in the bag. Ashin takes at random a counter from the bag.

Find the probability that the counter is not blue.

The ratio of the number of blue counters to the number of green counters is 2: 3

Work out the number of green counters in the bag.

Bradley says, “The number of red counters in the bag is the same as the number of yellow counters in the bag.”

Can Bradley be correct? Give a reason for your answer.

There are 240 cans of drink on a shelf. Each can contains cola or lemonade or orange. the number of cans the number of cans the number of cans:: = 5: 3: 2 of cola of lemonade of orange of the cans of lemonade and of the cans of orange are removed from the shelf. Work out the number of cans of cola as a percentage of the total number of cans of drink remaining on the shelf.

Rizwan writes down three numbers a, b and c a: b = 1: 3 b: c = 6: 5

Find a:b:c

Express a as a fraction of the total of the three numbers a, b and c

Emma writes down three numbers m, n and p n = 2 m p = 5 n

Find m:p

Rizwan writes down three numbers a, b and c a: b = 1: 3 b: c = 6: 5

Find a:b:c

Express a as a fraction of the total of the three numbers a, b and c

Emma writes down three numbers m, n and p n = 2 m p = 5 n

Find m:p

Here is a solid sphere and a solid cone.

Volume of sphere = πr³ Volume of cone = πr²h All measurements are in cm. The volume of the sphere is equal to the volume of the cone.

Find r:h Give your answer in its simplest form.

Here is a different solid sphere and a different solid cone.

Surface area of sphere = 4πr² Curved area of cone = πrl All measurements are in cm. The surface area of the sphere is equal to the total surface area of the cone.

Find r:h

Amol, Gemma and Harry each have a number of sweets. The number of sweets that Gemma has is 6 times the number of sweets that Amol has. The number of sweets that Harry has is half the number of sweets that Gemma has. Write down the ratio the number of sweets: the number of sweets: the number of sweets that Amol has that Gemma has that Harry has

Rob has been asked to divide 120 in the ratio 3: 5 Here is his working. 120 ÷ 3 = 40 120 ÷ 5 = 24 Rob’s working is not correct. Describe what Rob has done wrong.

Karina has 4 tanks on her tractor. Each tank is a cylinder with diameter 80 cm and height 160 cm.

The 4 tanks are to be filled completely with a mixture of fertiliser and water. The fertiliser has to be mixed with water in the ratio 1: 100 by volume. Karina has 32 litres of fertiliser. 1 litre = 1000 cm³ Has Karina enough fertiliser for the 4 tanks? You must show how you get your answer.

Rob has been asked to divide 120 in the ratio 3: 5 Here is his working. 120 ÷ 3 = 40 120 ÷ 5 = 24 Rob’s working is not correct. Describe what Rob has done wrong.

Karina has 4 tanks on her tractor. Each tank is a cylinder with diameter 80 cm and height 160 cm.

The 4 tanks are to be filled completely with a mixture of fertiliser and water. The fertiliser has to be mixed with water in the ratio 1: 100 by volume. Karina has 32 litres of fertiliser. 1 litre = 1000 cm³ Has Karina enough fertiliser for the 4 tanks? You must show how you get your answer.

There are four boxes on a shelf, A, B, C and D. The total weight of A and B is 3 times the total weight of C and D. The weight of A is of the weight of B. The weight of C is 75% of the weight of D. Find the ratio weight of A: weight of B: weight of C: weight of D

There are only blue counters, red counters and green counters in a box. The probability that a counter taken at random from the box will be blue is 0.4 The ratio of the number of red counters to the number of green counters is 7: 8 Sameena takes at random a counter from the box. She records its colour and puts the counter back in the box. Sameena does this a total of 50 times. Work out an estimate for the number of times she takes a green counter.

A delivery company has a total of 160 cars and vans. the number of cars: the number of vans = 3: 7 Each car and each van uses electricity or diesel or petrol. of the cars use electricity. 25% of the cars use diesel. The rest of the cars use petrol. Work out the number of cars that use petrol. You must show all your working.

Here are two cubes, A and B.

Cube A has a mass of 81 g. Cube B has a mass of 128 g. Work out the density of cube A: the density of cube B Give your answer in the form a: b, where a and b are integers.

A delivery company has a total of 160 cars and vans. the number of cars: the number of vans = 3: 7 Each car and each van uses electricity or diesel or petrol. of the cars use electricity. 25% of the cars use diesel. The rest of the cars use petrol. Work out the number of cars that use petrol. You must show all your working.

Here are two cubes, A and B.

Cube A has a mass of 81 g. Cube B has a mass of 128 g. Work out the density of cube A: the density of cube B Give your answer in the form a: b, where a and b are integers.

Cormac has some sweets in a bag. The sweets are lime flavoured or strawberry flavoured or orange flavoured. In the bag number of lime number of strawberry number of orange:: = 9: 4: x flavoured sweets flavoured sweets flavoured sweets Cormac is going to take at random a sweet from the bag. The probability that he takes a lime flavoured sweet is Work out the value of x.

The graph shows information about the number of houses sold by an estate agent in each of six months last year.

How many houses were sold by the estate agent in February?

For this estate agent, write down the ratio of the number of houses sold in January to the number of houses sold in June.

The ratio of Marta’s hourly pay to Khalid’s hourly pay is 6: 5 Both Marta and Khalid get an increase of £1.50 in their hourly pay. The ratio of Marta’s hourly pay to Khalid’s hourly pay after this increase is 13: 11 Work out the hourly pay before the increase for Marta and for Khalid.

Rick, Selma and Tony are playing a game with counters. Rick has some counters. Selma has twice as many counters as Rick. Tony has 6 counters less than Selma. In total they have 54 counters. the number of counters Rick has: the number of counters Tony has = 1: p Work out the value of p.

Rick, Selma and Tony are playing a game with counters. Rick has some counters. Selma has twice as many counters as Rick. Tony has 6 counters less than Selma. In total they have 54 counters. the number of counters Rick has: the number of counters Tony has = 1: p Work out the value of p.

Here is a prism ABCDSPQR.

The base ABCD of the prism is a square of side 14 cm T is the point on BC such that BT: TC = 4: 3 The cross section of the prism is in the shape of a trapezium of area 147 cm² CR = 12 cm Find the size of the angle between the line ST and the base ABCD. Give your answer correct to 1 decimal place.

There are two drama groups in a school. In one group there are 36 boys and 48 girls. In the other group, of the students are boys and the rest of the students are girls. Ann says, “The ratio of the number of boys to the number of girls is the same for both groups.” Is Ann correct? You must show how you get your answer.

Rosie, Matilda and Ibrahim collect stickers. number of stickers: number of stickers: number of stickers = 4: 7: 15 Rosie has Matilda has Ibrahim has Ibrahim has 24 more stickers than Matilda. Ibrahim has more stickers than Rosie. How many more?

Rosie, Matilda and Ibrahim collect stickers. number of stickers: number of stickers: number of stickers = 4: 7: 15 Rosie has Matilda has Ibrahim has Ibrahim has 24 more stickers than Matilda. Ibrahim has more stickers than Rosie. How many more?

Here is trapezium ABCD.

The area of the trapezium is 66 cm² the length of AB: the length of CD = 2: 3 Find the length of AB.

A, B, C and D are four points on a circle. SBT is a tangent to the circle. Angle ABD = 20 the size of angle BAD: the size of angle BCD = 3: 1 Find the size of angle SBA. Give a reason for each stage of your working.

In the Northern hemisphere the ratio of the area of land to the area of water is 2: 3

Work out what percentage of the area of the Northern hemisphere is land.

20% of the area of the Southern hemisphere is land.

Work out the ratio of the area of land to the area of water in the Southern hemisphere.

Natalie makes potato cakes in a restaurant. She mixes potato, cheese and onion so that weight of potato: weight of cheese: weight of onion = 9: 2: 1 Natalie needs to make 6000 g of potato cakes. Cheese costs £2.25 for 175 g. Work out the cost of the cheese needed to make 6000 g of potato cakes.

Natalie makes potato cakes in a restaurant. She mixes potato, cheese and onion so that weight of potato: weight of cheese: weight of onion = 9: 2: 1 Natalie needs to make 6000 g of potato cakes. Cheese costs £2.25 for 175 g. Work out the cost of the cheese needed to make 6000 g of potato cakes.

Olivia and Jessica have in total half as many sweets as Fran and Gary have in total. Fran and Gary share their sweets in the ratio 2: 3 Olivia and Jessica share their sweets in the ratio 9: 1 Fran got w sweets. Gary got x sweets. Olivia got y sweets. Jessica got z sweets. Find, in its simplest form, w:x:y:z

A bag contains red counters and blue counters only. number of red counters: number of blue counters = 3: 4 Write down the fraction of the counters that are red.

Write the ratio 12: 30 in the form 1:n

Jamil makes a drink by mixing 1 part of orange squash with 9 parts of water. He uses 750 millilitres of orange squash. Jamil is going to put the drink he has mixed into 1 litre bottles. Work out the greatest number of 1 litre bottles that Jamil can completely fill.

find a:b:c

find a:b:c

There are four types of cards in a game. Each card has a black circle or a white circle or a black triangle or a white triangle.

Express the total number of cards with a black shape as a fraction of the total number of cards with a triangle.

Scott wants to make orange juice. He is going to buy boxes of oranges.

Scott needs to buy enough oranges to make 8 litres of orange juice.

Work out the number of boxes of oranges that Scott needs to buy. You must show all your working.

Scott also buys 1260 apples 280 bananas

Write down the ratio of the number of apples that Scott buys to the number of bananas that he buys. Give your ratio in its simplest form.

Adam, Linda and Rytis share an amount of money. Linda gets three times as much money as Rytis gets. Linda gets half as much money as Adam gets. What fraction of the amount of money does Linda get?

Pens and pencils are sold in a shop. 12 pencils cost £1.80 The ratio of the cost of a pen to the cost of a pencil is 7: 3 Work out the cost of 5 pens.

Carlo puts tins into small boxes and into large boxes. He puts 6 tins into each small box. He puts 20 tins into each large box. Carlo puts a total of 3000 tins into the boxes so that number of tins in small boxes: number of tins in large boxes = 2: 3 Carlo says that less than 30% of the boxes filled with tins are large boxes. Is Carlo correct? You must show all your working.

Carlo puts tins into small boxes and into large boxes. He puts 6 tins into each small box. He puts 20 tins into each large box. Carlo puts a total of 3000 tins into the boxes so that number of tins in small boxes: number of tins in large boxes = 2: 3 Carlo says that less than 30% of the boxes filled with tins are large boxes. Is Carlo correct? You must show all your working.

5 c + d = c + 4 d

Find the ratio c: d

6x² = 7xy + 20y² where x ˃ 0 and y ˃ 0

Find the ratio x: y

There are 60 people in a choir. Half of the people in the choir are women.

The number of women in the choir is 3 times the number of men in the choir. The rest of the people in the choir are children.

the number of children in the choir: the number of men in the choir = n: 1

Work out the value of n. You must show how you get your answer.

Tom and Adam have a total of 240 stamps. The ratio of the number of Tom’s stamps to the number of Adam’s stamps is 3: 7

Tom buys some stamps from Adam. The ratio of the number of Tom’s stamps to the number of Adam’s stamps is now 3: 5

How many stamps does Tom buy from Adam? You must show all your working.

Here is a grid of squares.

Write down the ratio of the number of shaded squares to the number of unshaded squares.

In a bag there are only red counters, blue counters, green counters and yellow counters. A counter is taken at random from the bag.

The table shows the probabilities of getting a red counter or a yellow counter.

the number of blue counters: the number of green counters = 3: 4

Complete the table.

Liquid A and liquid B are mixed together in the ratio 2: 13 by volume to make liquid C.

Liquid A has density 1.21 g/cm³ Liquid B has density 1.02 g/cm³

A cylindrical container is filled completely with liquid C. The cylinder has radius 3 cm and height 25 cm.

Work out the mass of the liquid in the container. Give your answer correct to 3 significant figures. You must show all your working.

A group of people went to a restaurant. Each person chose one starter and one main course.

the number of people who chose soup: the number of people who chose prawns = 2: 3

Of those who chose soup, the number of people who chose lasagne: the number of people who chose curry = 5: 3

Of those who chose prawns, the number of people who chose lasagne: the number of people who chose curry = 1: 5

What fraction of the people chose curry? You must show how you get your answer.

Deon needs 50 g of sugar to make 15 biscuits. She also needs three times as much flour as sugar two times as much butter as sugar Deon is going to make 60 biscuits.

Work out the amount of flour she needs.

Deon has to buy all the butter she needs to make 60 biscuits. She buys the butter in 250 g packs.

How many packs of butter does Deon need to buy?

A shop sells packs of black pens, packs of red pens and packs of green pens. There are 2 pens in each pack of black pens 5 pens in each pack of red pens 6 pens in each pack of green pens On Monday, number of packs number of packs number of packs:: = 7: 3: 4 of black pens sold of red pens sold of green pens sold A total of 212 pens were sold. Work out the number of green pens sold.

Deon needs 50 g of sugar to make 15 biscuits. She also needs three times as much flour as sugar two times as much butter as sugar Deon is going to make 60 biscuits.

Work out the amount of flour she needs.

Deon has to buy all the butter she needs to make 60 biscuits. She buys the butter in 250 g packs.

How many packs of butter does Deon need to buy?

A shop sells packs of black pens, packs of red pens and packs of green pens. There are 2 pens in each pack of black pens 5 pens in each pack of red pens 6 pens in each pack of green pens On Monday, number of packs number of packs number of packs:: = 7: 3: 4 of black pens sold of red pens sold of green pens sold A total of 212 pens were sold. Work out the number of green pens sold.

Given that

find the possible values of x.

The pictogram shows information about the number of vinyl records sold in a shop on Monday and on Tuesday.

Write down the number of vinyl records sold

on Monday,

on Tuesday.

On Wednesday and Thursday a total of 36 vinyl records were sold. The number of records sold on Thursday was 8 times the number of records sold on Wednesday.

Use this information to complete the pictogram.

Write the ratio 4.5: 2.25 in the form n: 1

£360 is shared between Abby, Ben, Chloe and Denesh. The ratio of the amount Abby gets to the amount Ben gets is 2: 7 Chloe and Denesh each get 1.5 times the amount Abby gets. Work out the amount of money that Ben gets.

7 £360 is shared between Abby, Ben, Chloe and Denesh. The ratio of the amount Abby gets to the amount Ben gets is 2: 7 Chloe and Denesh each get 1.5 times the amount Abby gets. Work out the amount of money that Ben gets.

There are some small cubes and some large cubes in a bag. The cubes are red or the cubes are yellow. The ratio of the number of small cubes to the number of large cubes is 4: 7 The ratio of the number of red cubes to the number of yellow cubes is 3: 5

Explain why the least possible number of cubes in the bag is 88

All the small cubes are yellow.

Work out the least possible number of large yellow cubes in the bag.

Ali, Ben and Cathy share an amount of money in the ratio 6: 9: 10 What fraction of the money does Ben get?

Costcorp sells packets of mints to shop owners. On Monday three shop owners buy mints from Costcorp. Each shop owner buys small packets, medium packets and large packets of mints. Alan buys 400 packets of mints. 32 % are small packets. 40 % are large packets. Beryl buys 500 packets of mints.

Charlie buys 150 small packets of mints so that number of small packets: number of medium packets 3: 4 Work out the total number of medium packets of mints these shop owners buy. You must show all your working.

Azmol, Ryan and Kim each played a game.

Azmol’s score was four times Ryan’s score. Kim’s score was half of Azmol’s score.

Write down the ratio of Azmol’s score to Ryan’s score to Kim’s score.

Shahid is going to use these instructions to make a fizzy drink.

Shahid thinks that he has 300 m l of orange juice and 200 m l of lemonade.

If Shahid is correct, what is the greatest amount of fizzy drink he can make?

Shahid has 300 m l of orange juice but he only has 160 m l of lemonade.

Does this affect the greatest amount of fizzy drink he can make? Give a reason for your answer.

Robert makes 50 litres of green paint by mixing litres of yellow paint and litres of blue paint in the ratio 2: 3

Yellow paint is sold in 5 litre tins. Each tin of yellow paint costs £26

Blue paint is sold in 10 litre tins. Each tin of blue paint costs £48

Robert sells all the green paint he makes in 10 litre tins. He sells each tin of green paint for £66.96

Work out Robert’s percentage profit on each tin of green paint he sells.

p and q are two numbers such that p q

When you subtract 5 from p and subtract 5 from q the answers are in the ratio 5: 1 When you add 20 to p and add 20 to q the answers are in the ratio 5: 2

Find the ratio p: q Give your answer in its simplest form.

Write down the ratio of 450 grams to 15 grams. Give your answer in its simplest form.

ABC is a right-angled triangle.

AC = 14 cm. Angle C = 90

size of angle B: size of angle A = 3: 2

Work out the length of AB. Give your answer correct to 3 significant figures.

Gavin, Harry and Isabel each earn the same monthly salary.

Each month,

Gavin saves 28% of his salary and spends the rest of his salary Harry spends of his salary and saves the rest of his salary the amount of salary Isabel saves: the amount of salary she spends = 3: 7

Work out who saves the most of their salary each month. You must show how you get your answer.

There are some chocolates in a box. of the chocolates contain nuts. The rest of the chocolates do not contain nuts.

Write down the ratio of the number of chocolates that contain nuts to the number of chocolates that do not contain nuts. Give your answer in the form 1: n

In a village

the number of houses and the number of flats are in the ratio 7: 4 the number of flats and the number of bungalows are in the ratio 8: 5

There are 50 bungalows in the village.

How many houses are there in the village?

In a village

the number of houses and the number of flats are in the ratio 7: 4 the number of flats and the number of bungalows are in the ratio 8: 5

There are 50 bungalows in the village.

How many houses are there in the village?

The perimeter of a right-angled triangle is 72 cm. The lengths of its sides are in the ratio 3: 4: 5

Work out the area of the triangle.

There are only red counters, blue counters and purple counters in a bag. The ratio of the number of red counters to the number of blue counters is 3: 17

Sam takes at random a counter from the bag. The probability that the counter is purple is 0.2

Work out the probability that Sam takes a red counter.

Here is the list of ingredients for making 30 biscuits.

Lucas has the following ingredients.

900 g butter 1000 g caster sugar 1000 g plain flour 225 g chocolate chips

What is the greatest number of biscuits Lucas can make? You must show your working.

Raya buys a van for £8500 plus VAT at 20%

Raya pays a deposit for the van. She then pays the rest of the cost in 12 equal payments of £531.25 each month.

Find the ratio of the deposit Raya pays to the total of the 12 equal payments. Give your answer in its simplest form.

Raya buys a van for £8500 plus VAT at 20%

Raya pays a deposit for the van. She then pays the rest of the cost in 12 equal payments of £531.25 each month.

Find the ratio of the deposit Raya pays to the total of the 12 equal payments. Give your answer in its simplest form.

Alan, Bispah and Chan share a sum of money. Alan gets of the money. Bispah gets of the money.

Chan gets the rest of the money.

Alan gets £2.50

Work out how much money Bispah gets.

Find the ratio amount of money Alan gets: amount of money Chan gets

Give your answer in the form a: b where a and b are whole numbers.

There are only red buttons, yellow buttons and orange buttons in a jar. The number of red buttons, the number of yellow buttons and the number of orange buttons are in the ratio 7: 4: 9

Work out what percentage of the buttons in the jar are orange.

Harry, Regan and Kelan share £450 in the ratio 2: 5: 3

How much money does Kelan get?

Here is a list of ingredients for making 16 flapjacks.

Jenny wants to make 24 flapjacks.

Work out how much of each of the ingredients she needs.

syrup_........ tablespoons

Kiaria is 7 years older than Jay. Martha is twice as old as Kiaria. The sum of their three ages is 77

Find the ratio of Jay’s age to Kiaria’s age to Martha’s age.

Kiaria is 7 years older than Jay. Martha is twice as old as Kiaria. The sum of their three ages is 77

Find the ratio of Jay’s age to Kiaria’s age to Martha’s age.

The ratio (y + x): (y – x) is equivalent to k: 1

Annie and Lily share some money in the ratio 4: 3

What fraction of the money does Lily get?

Rosie and Dan share some sweets. Dan gets of the sweets.

Write down the ratio of the number of sweets Rosie gets to the number of sweets Dan gets.

The table shows a cricket club’s income in 2016 from a fete, a quiz and membership fees.

Express as a ratio

the income from the fete to the income from the quiz to the income from membership fees.

Give your ratio in its simplest form.

There are only blue cubes, yellow cubes and green cubes in a bag.

There are

twice as many blue cubes as yellow cubes and four times as many green cubes as blue cubes.

Hannah takes at random a cube from the bag.

Work out the probability that Hannah takes a yellow cube.

There are only blue cubes, yellow cubes and green cubes in a bag.

There are

twice as many blue cubes as yellow cubes and four times as many green cubes as blue cubes.

Hannah takes at random a cube from the bag.

Work out the probability that Hannah takes a yellow cube.

The ratio of the cost of one metre of cotton fabric to the cost of one metre of silk fabric is 2: 5

Complete the table of costs.

There are only blue pens, green pens and red pens in a box.

The ratio of the number of blue pens to the number of green pens is 2: 5 The ratio of the number of green pens to the number of red pens is 4: 1

There are less than 100 pens in the box.

What is the greatest possible number of red pens in the box?

There are only blue pens, green pens and red pens in a box.

The ratio of the number of blue pens to the number of green pens is 2: 5 The ratio of the number of green pens to the number of red pens is 4: 1

There are less than 100 pens in the box.

What is the greatest possible number of red pens in the box?

A farmer has 20 boxes of eggs. There are 6 eggs in each box.

Write, as a ratio, the number of eggs in two boxes to the total number of eggs. Give your answer in its simplest form.

On Saturday, some adults and some children were in a theatre. The ratio of the number of adults to the number of children was 5: 2

Each person had a seat in the Circle or had a seat in the Stalls. of the children had seats in the Stalls. 117 children had seats in the Circle.

There are exactly 2600 seats in the theatre.

On this Saturday, were there people on more than 60% of the seats? You must show how you get your answer.

A path is made of white tiles and grey tiles. of the tiles are white.

Write down the ratio of white tiles to grey tiles.

There is a total of 56 tiles.

Work out the number of grey tiles.

ABC is a straight line.

The length AB is five times the length BC. AC = 90 cm.

Work out the length AB.

Andy went on holiday to Canada. His flights cost a total of £1500

Andy stayed for 14 nights. His hotel room cost $196 per night.

Andy used wifi for 12 days. Wifi cost $5 per day.

The exchange rate was $1.90 to £1

Work out the total cost of the flights, the hotel room and wifi. Give your answer in pounds.

If there were fewer dollars to £1, what effect would this have on the total cost, in pounds, of Andy’s holiday?

Daniel bakes 420 cakes. He bakes only vanilla cakes, banana cakes, lemon cakes and chocolate cakes. of the cakes are vanilla cakes. 35% of the cakes are banana cakes. The ratio of the number of lemon cakes to the number of chocolate cakes is 4:5

Work out the number of lemon cakes Daniel bakes.

Daniel bakes 420 cakes. He bakes only vanilla cakes, banana cakes, lemon cakes and chocolate cakes. of the cakes are vanilla cakes. 35% of the cakes are banana cakes. The ratio of the number of lemon cakes to the number of chocolate cakes is 4:5

Work out the number of lemon cakes Daniel bakes.

The points A, B, C and D lie in order on a straight line.

AB: BD = 1:5 AC: CD = 7:11

Work out AB: BC: CD