Ratio

Ola and Pip make orange paint by mixing red paint and yellow paint. The graph shows how much of each colour paint to use.

Ola uses 5 litres of yellow paint.

Write down how much red paint Ola uses.

Pip uses 10 litres of yellow paint.

How much orange paint does Pip make ?

Here is a list of ingredients for lentil soup.

How many grams of lentils are needed to make this soup for 10 people?

Numbered discs are in two boxes.

Box A Box B

Work out the ratio

total value of the numbers in Box A: total value of the numbers in Box B

Give your answer in its simplest form.

One disc is picked at random from Box A. Write down the probability that the number on the disc is greater than 6

One day,

a company runs 240 trains

of these trains are late.

The company is charged £350 for each late train.

How much is the company charged that day?

Hot drinks are sold at a station in the ratio

tea: coffee: hot chocolate = 3: 5: 2

2600 hot drinks are sold.

How many coffees are sold?

330 students from Year 10 and Year 11 take part in a competition.

number of students in Year 10: number of students in Year 11 = 1: 2

125 students win a medal.

73 of the students who win a medal are in Year 11

Complete the frequency tree.

7 330 students from Year 10 and Year 11 take part in a competition.

number of students in Year 10: number of students in Year 11 = 1: 2

125 students win a medal.

73 of the students who win a medal are in Year 11

Complete the frequency tree.

Oscar and Nikita share some money in the ratio 8: 5 Oscar has £27 more than Nikita.

How much do they have altogether?

The only animals in a field are sheep and cows. The ratio sheep: cows = 31: 47 There are fewer than 100 animals in the field.

Write down the number of cows in the field.

In total, how many animals are there in the field?

Sam uses either the bus or the train to get to work.

number of days using bus = 1 number of days using train 8

Write down the ratio number of days using bus: number of days using train

Write the ratio 6 a: 5 a in the form n: 1 where n is a decimal.

1: x = x: 4

Work out the value of x

When a biased coin is spun, P(Heads): P(Tails) = 5: 2 In a game, the player spins the coin four times. The player can win in two ways.

How many times more likely is a player to win the 1st way than the 2nd way?

A rectangle and a triangle are drawn on a square grid.

Work out the ratio area of rectangle: area of triangle

Ary, Bea and Cat each have an amount of money. Cat has £280

• Cat’s amount is of Bea’s amount.

• Ary’s amount: Bea’s amount = 5: 12

Work out how much money Ary has.

Write 2 weeks as a fraction of 8 days. Give your answer in its simplest form.

Write 56 centimetres: 2.73 metres as a ratio in the form 1: n

7

Write A as a fraction of B.

Ary, Bea and Cat each have an amount of money. Cat has £280

• Cat’s amount is of Bea’s amount.

• Ary’s amount: Bea’s amount = 5: 12

Work out how much money Ary has.

Write the ratio 6: 2 in the form n: 1

35 books are either for adults or for children.

number for adults: number for children = 6: 1

How many more books are for adults than for children?

A large circle and a small circle are shown. The radius of the large circle is 12cm

radius of large circle: radius of small circle = 4: 1

Work out the shaded area. Give your answer in terms of π

Here is a rectangle. All measurements are in centimetres.

AB: BC = 1: 3

Work out the value of the area.

At a music festival, four types of instrument are played.

guitars keyboards drums trumpets

The total number of instruments is 80

Half of the instruments are guitars.

keyboards: drums: trumpets = 3: 4: 1

How many keyboards are there?

Line DAE is a tangent at A to the circle with centre O.

Work out the size of angle x.

Here is a cyclic quadrilateral.

f: g = 2: 3

Work out f: h Give your answer in its simplest form.

To get to college, 120 students either walk, cycle or travel by car.

students who cycle: students who travel by car = 1: 2

How many students travel by car?

These two rectangles have the same area.

Work out the ratio perimeter A: perimeter B

At a school there are 912 students the ratio of students to teachers is 15.2: 1

The number of students stays the same. The number of teachers increases by 2

Work out the new ratio of students to teachers. Give your answer in the form n: 1

On a school trip, one teacher is needed for every group of 10 or fewer students. 72 students want to go on the trip.

Lexi tries to work out how many teachers are needed.

At a school there are 912 students the ratio of students to teachers is 15.2: 1

The number of students stays the same. The number of teachers increases by 2

Work out the new ratio of students to teachers. Give your answer in the form n: 1

On a school trip, one teacher is needed for every group of 10 or fewer students. 72 students want to go on the trip.

Lexi tries to work out how many teachers are needed.

What is wrong with her answer?

Two friends share £240 in the ratio 1: 3

Work out the larger share.

A tennis player wins or loses matches in the ratio win: lose = 5: 9

What fraction of the matches do they win?

AB is a straight line. Both angles are given in degrees.

By working out the value of x, work out the ratio smaller angle: larger angle

People in a stadium are in the North Stand, East Stand, South Stand or West Stand. Of the people in the stadium, are in the North Stand are in the East Stand number in South Stand: number in West Stand = 2: 7

There are 4480 people in the West Stand.

How many people are in the stadium?

Here is a right-angled triangular prism.

The ratio of the edges is a: b: c: d = 3: 4: 5: 12

Work out the total length of all of the edges of the prism.

There are 30 students in a class. 12 of the students have school lunch.

Work out the ratio students having school lunch: students not having school lunch Give your answer in its simplest form.

In a different class students wearing glasses: students not wearing glasses = 3: 8

What fraction of students in this class wear glasses?

The ratio 4: 9 is written in the form 1: n

Work out the value of n.

n =

b = 45 ° and a: b = 7: 3 and x: y = 4: 1

Show that a: y = 5: 2

A cylinder, C, and a sphere, S, each have radius r C has height h

volume of C = volume of S

Work out the ratio r: h You must show your working.

A different cylinder has radius 3 r and height 2 h.

How many times bigger is the volume of this cylinder than the volume of C?

Write 2 × 10³ as an ordinary number.

Give your answer in the form n: 1

In the diagrams, all lengths are in centimetres.

The two shapes have equal areas.

Work out k: m

Write 2 × 10³ as an ordinary number.

Simplify (2 × 10³): (5 × 10^–1) Give your answer in the form n: 1

Cora is revising for two subjects, History and French. The time she spends revising is in the ratio

History: French = 7: 2

The time she spends revising for History is 20 hours more than for French.

Work out the total time she spends revising.

Here is a cyclic quadrilateral. a: b: c = 9: 5: 3

Work out the size of angle d.

d = °

A sauce is made from cream and stock in the ratio cream: stock = 1: 6

How much sauce can be made using 80 millilitres of cream?

A different sauce is made from olive oil and tomato juice in the ratio olive oil: tomato juice = 1: 14

What fraction of this sauce is olive oil?

r: w = 1: 4

Write down the ratio r²: w²

A box contains 36 chocolates. The chocolates are milk or dark and have hard or soft centres. of the chocolates have soft centres. There are twice as many milk chocolates as dark. 5 of the dark chocolates have soft centres.

Complete the two-way table.

One chocolate is chosen at random.

What is the probability that it is a dark chocolate with a soft centre?

What is the probability that it has a hard centre?

a is three quarters of c 6 b = 5 c

Work out the ratio a: b: c Give your answer in its simplest form, where a, b and c are integers.

Students choose juice with their school meal in the ratio orange: apple: lime = 5: 2: 3

Complete the bar chart.

Andrew and Bruce share some money in the ratio 5: 6 Bruce gets £96 Andrew gives of his share to Carl. Bruce gives of his share to Carl. How much money does Carl receive?

Andrew and Bruce share some money in the ratio 5: 6 Bruce gets £96 Andrew gives of his share to Carl. Bruce gives of his share to Carl. How much money does Carl receive?

A solid hemisphere has radius x. A solid cylinder has radius 3 x and height x.

Surface area of a sphere = 4πr² where r is the radius

Work out the ratio total surface area of the hemisphere: total surface area of the cylinder Give your answer in its simplest form. You must show your working.

A circle, centre O, has circumference 20 π cm Q is a point on the circle.

Work out the value of a. You must show your working.

There are 1020 books in a box. of the books are blue. How many are blue?

There are green pens and red pens in the box. The ratio of green: red is 4: 3 What fraction of the pens are green?

There are some calculators in the box. 220 are scientific. 30 are not. What percentage of the calculators are scientific?

Kai says that 3: 2 is an equivalent ratio to 9: 6 Jo says that 1.5: 1 is an equivalent ratio to 9: 6 Who is correct? Tick one box.

Give reasons for your answer.

Jess saves 2p, 5p and 10p coins. She has

• 45 10p coins

• 8 times as many 2p coins as 10p coins

• £17.70 in total.

Work out total value of 2p coins: total value of 5p coins Give your answer in its simplest form.

Write 30: 12 in the form n: 1

Jess saves 2p, 5p and 10p coins. She has

• 45 10p coins

• 8 times as many 2p coins as 10p coins

• £17.70 in total.

Work out total value of 2p coins: total value of 5p coins Give your answer in its simplest form.

Two angles around a point are shown.

The angles are in the ratio 2: 7 Show that the larger angle is 280 °

Jing has £2450 She saves some and gives the rest to her four brothers. money saved: money given to brothers = 2: 5 She gives each of her four brothers the same amount. Does each brother receive more than £430 ? You must show your working.

Jing has £2450 She saves some and gives the rest to her four brothers. money saved: money given to brothers = 2: 5 She gives each of her four brothers the same amount. Does each brother receive more than £430 ? You must show your working.

In this right-angled triangle, a = 16 cm a: c = 4: 5 Work out the area of the triangle.

The graph shows the values of D and E for 2 D 6

Choose one point on the graph and state if Sunil’s equation is correct for that point.

G is directly proportional to the square root of H. G: H = 3: 2 when H = 16 Work out G: H when H = 100

A, B and C are connected by paths. The length of each path is shown.

Nathan and Sue each walk from A to B. Nathan walks along the path A → B Sue walks along the paths A → C → B How much further does Sue walk than Nathan? Give your answer in kilometres.

A straight path between D and E passes through P. DE = 200 metres

Work out the ratio DP: PE Give your answer in its simplest form.

Bag A and bag B each contain only red discs and green discs.

Work out the total number of discs.

A different bag, C, is empty. The 28 red discs from A are put into C. The 20 green discs from B are also put into C. One disc is now picked at random from each bag. Complete each statement.

Divide 62 in the ratio 3: 7

Write (3⁶ × 3⁵): 3⁷ in the form n: 1 where n is an integer.

a is 10% more than b. Circle the ratio a: b

10: 11 10: 1 11: 10 1: 10

Divide 62 in the ratio 3: 7

Write (3⁶ × 3⁵): 3⁷ in the form n: 1 where n is an integer.

a is 10% more than b. Circle the ratio a: b

10: 11 10: 1 11: 10 1: 10

Craig wants to draw a graph, for values of x from – 3 to 3, where the x-coordinate and y-coordinate are always in the ratio 2: 1 Here is his graph.

Make two criticisms of Craig’s graph.

A road has three sections, D, E and F. The lengths of D, E and F are in the ratios D: E = 3: 5 E: F = 7: 4 What fraction of the length of the road is section D?

On a train, there are between 60 and 70 people. The ratio of adults to children is 5: 4 Work out the total number of people on the train.

Jamil is on holiday in France.

The cost of a room in a hostel is 27 euros. Convert the cost to £ Use £1 = 1.2 euros

Jamil rides a motorbike. The motorbike uses one litre of petrol for every 14 miles. How many litres of petrol does the motorbike use to go 168 kilometres? Use 8 kilometres = 5 miles

Joe, Kim and Lisa each have an amount of money. Joe has £72 Joe’s amount: Kim’s amount = 6: 5 Lisa’s amount is times Joe’s amount. Show that, in total, they have less than £250

Here are the results after 250 spins of a coin.

The coin is spun an extra 50 times. After all 300 spins, the relative frequency of Heads is 0.49 For the extra 50 spins, work out number of Heads: number of Tails

Joe, Kim and Lisa each have an amount of money. Joe has £72 Joe’s amount: Kim’s amount = 6: 5 Lisa’s amount is times Joe’s amount.

Show that, in total, they have less than £250

In a bag there are only red discs, blue discs and green discs. There are 10 red discs. When one disc is picked at random

How many green discs are in the bag?

In a week, Samir is paid a basic hourly rate for the first 30 hours worked an overtime hourly rate for any extra hours worked. The graph shows his pay for working up to 40 hours in a week.

Work out the ratio basic hourly rate: overtime hourly rate Give your answer in its simplest form.

x: y is 9: 5

In a week, Samir is paid a basic hourly rate for the first 30 hours worked an overtime hourly rate for any extra hours worked. The graph shows his pay for working up to 40 hours in a week.

Work out the ratio basic hourly rate: overtime hourly rate Give your answer in its simplest form.

The people at a party are either adults or children.

What percentage are adults?

The people at a different party are from Spain, France or Germany. 68% are from Spain number from France = number from Germany Work out number from Spain: number from France Give your answer in the form n: 1

Amol owns a sandwich shop. The shop is open from Monday to Saturday. In June, Amol sold 3000 sandwiches.

Amol wants to work out the mean number of sandwiches he sold per day in June. His method is 3000 ÷ 30 = 100 Make one criticism of Amol’s method.

Amol received £6660 from selling the 3000 sandwiches in June. The numbers of sandwiches sold were in the ratio meat: cheese: vegan = 9: 4: 7 The price of a meat sandwich is £2.39 The price of a cheese sandwich is £1.89 Work out the price of a vegan sandwich.

A, B, C, D and E are points on a straight line.

A, B, C and D are equally spaced. AD: DE = 2: 1 Work out the coordinates of E.

In this question use 1 litre = 1000 millilitres A mixture is made using white paint and red paint. amount of white paint = amount of red paint ÷ 7

5.6 litres of red paint will make more than 6 litres of the mixture. How much more? Give your answer in millilitres.

In a bag, number of green discs: number of blue discs = 20: 11 Tick one box for each statement about the discs in the bag.

Juice and water are mixed together in the ratio 2: 7

Draw a straight line graph that shows the amounts of juice and water to mix together. Your graph must show up to 10 litres of juice.

How much water needs to be mixed with 5 litres of juice?

A password has 30 characters. It is made up of 5 numbers, 15 letters and some symbols. Work out the ratio numbers: letters: symbols Give your answer in its simplest form.

Some buttons are red or blue in the ratio red: blue = 3: 5 What fraction of the buttons are red? Circle your answer.

Harry and his sister Jess have some money in the ratio Harry: Jess = 1: 4 Harry has £7.35 They pay £16.99 for a present for a friend. Harry uses of his money. Jess pays the rest. How much money does Jess have left?

A is half of B. Work out the ratio A: B Circle your answer.

1: 2 2: 1 1: 3 3: 1

Jeff and Kaz share £270 in the ratio Jeff: Kaz = 2.6: 1 How much more than Kaz does Jeff get?

Jeff and Kaz share £270 in the ratio Jeff: Kaz = 2.6: 1 How much more than Kaz does Jeff get?

Rectangle ABCD is split into four smaller rectangles. Two of the smaller rectangles are shaded.

4: x = 1: 2 For rectangle ABCD, work out the ratio shaded area: unshaded area Give your answer in its simplest form.

Bags X and Y each contain counters.

P(green counter from X) = P(red counter from Y) Work out the number of green counters in X.

All 35 counters are put into one bag. One counter is picked at random. Work out the probability that the counter is not red.

The cost of a holiday is £2400 Rana pays a deposit followed by monthly payments, in the ratio

deposit: total of the monthly payments = 3: 5

She makes 6 equal monthly payments. Work out her monthly payment.

Two wire shapes make an earring. The shapes are a circle with radius 21 mm and a quarter circle.

radius of circle: radius of quarter circle = 7: 2

Show that the radius of the quarter circle is 6 mm

Work out the total length of the wire in the earring. Give your answer in the form a π + b where a and b are integers.

The cost of a holiday is £2400 Rana pays a deposit followed by monthly payments, in the ratio

deposit: total of the monthly payments = 3: 5

She makes 6 equal monthly payments. Work out her monthly payment.

3x =

Circle the ratio x: y

6: 1 1: 6 3: 2 2: 3

Circle the ratio that is the same as 3: 4

6: 7 6: 8 6: 9 6: 16

Mortar is made by mixing cement and sand as shown. For every 1 kg of cement used, add 4 kg of sand Cement costs £0.19 per kg Sand costs £0.07 per kg Tomasz uses 150 kg of cement to make some mortar. Work out the total cost of the mortar.

Jill puts 440 sweets into small bags, medium bags and large bags.

twice as many medium bags as large bags. There are no sweets left over. For the number of bags, work out the ratio small: medium: large

At a party there are 90 people. 48 are women and 42 are men. Some women leave. Some men arrive. The ratio of women to men is now 10: 11 Are there now more than 90 people at the party? Tick one box.

Show working to support your answer.

At a party there are 90 people. 48 are women and 42 are men. Some women leave. Some men arrive. The ratio of women to men is now 10: 11 Are there now more than 90 people at the party? Tick one box.

Show working to support your answer.

Some players were asked the shirt colour of their football team. Each answer was either White, Blue, Red or Green. A pie chart is drawn to represent the answers. Two of the sectors are shown.

The number who answered Red is three times the number who answered Green. Complete the pie chart.

There were 600 players altogether. How many players answered White?

a is two times b. Circle the ratio a: b

1: 3 3: 1 1: 2 2: 1

ABEF and ACDF are rectangles. AF = 10 cm AB = 2 cm BC = 4 cm

Give your answer in its simplest form.

In a field number of sheep: number of cows = 10: 3 Zak says, “There are 10 sheep in the field.” Give a reason why Zak could be wrong.

In a different field number of goats: number of pigs = 13: 4 Priya says, “There are more than three times as many goats as pigs.” Is she correct? Tick one box.

Show working to support your answer.

In a right-angled triangle smallest angle: largest angle = 2: 5 Work out the three angles of the triangle.

Saj makes Rose Pink paint and Cherry Pink paint. He mixes red paint with white paint as shown.

He makes 60 litres of Rose Pink paint. To this Rose Pink paint he adds 80 litres of red paint and 28 litres of white paint. Has he now made Cherry Pink paint? You must show your working.

Saj makes Rose Pink paint and Cherry Pink paint. He mixes red paint with white paint as shown.

He makes 60 litres of Rose Pink paint. To this Rose Pink paint he adds 80 litres of red paint and 28 litres of white paint. Has he now made Cherry Pink paint? You must show your working.

In a box there are some buttons. 45 are large and the rest are small. Some are yellow and the rest are green. The number of small is of the number of large. The number of green is 300% of the number of yellow. There are 12 small yellow buttons. How many large green buttons are there? You may use the two-way table to help you.

Three teams, A, B and C, play in a competition. games won by A: games won by B = 2: 1 games won by B: games won by C = 3: 1 Team B has won 6 games. In total, how many games have the three teams won?

A drink is made by adding water to juice. Instructions Add an amount of water that is between 2 times and 3 times the amount of juice Rana has 120 ml of juice. She adds some water. She has now made 450 ml of the drink. Has Rana followed the instructions? You must show your working.

A line joins A (1, 1) and B (6, 1) on a centimetre grid.

P is a point on the line AB such that AP: PB = 2: 3 C is a point such that angle APC is 90 ° and PC = 4 cm Write down the coordinates of the two possible points for C.

a: b = 7: 1 Circle the correct equation.

a = 7 b b = 7 a a = 6 b b = 6 a

Juice is sold in small bottles and large bottles. The volume of the large bottle is 1125 ml.

volume of small bottle: volume of large bottle = 2: 5 A café has small glasses and large glasses. volume of small glass: volume of large glass = 4: 7 A small bottle fills 6 small glasses with no juice left over. How many large glasses can be filled by a large bottle? You must show your working.

Simplify fully 56: 24

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

Share £180 in the ratio 1: 9

Ed and Fay shared £330 in the ratio 7: 4 Ed gives Fay some of his money. Fay now has the same amount as Ed. How much does Ed give Fay?

Joe and Kyle share an amount of money in the ratio 7: n Joe gets 35% of the money. Work out the value of n.

x: y = 1: 3 Circle the correct equation.

3 2 a is five times bigger than b. Circle the ratio a: b

10: 1 1: 10 5: 2 2: 5

Joe and Kyle share an amount of money in the ratio 7: n Joe gets 35% of the money. Work out the value of n.

In a bag there are blue discs, green discs and white discs. There are four times as many blue discs as green discs. number of blue discs: number of white discs = 3: 5 One disc is selected at random. Work out the probability that the disc is either blue or white.

For Class X, number of boys: number of girls = 7: 8 For Class Y, number of boys: number of girls = 3: 4 Which statement must be true? Tick one box.

Hanif makes green paint by mixing blue paint and yellow paint in the ratio blue: yellow = 7: 3 He buys blue paint in 50-litre containers, each costing £225 He buys yellow paint in 20-litre containers, each costing £80 He wants to sell the green paint in 5-litre tins make 40% profit on each tin. How much should he sell each tin for?

a: b = 1: 6 a: c = 3: 1 How many times bigger is b than c ?

e: f = 2: 3 and f: g = 5: 4 Work out e: g Give your answer in its simplest form.

There are 240 cows on a farm.

On the farm, number of bulls: number of cows = 1: 30 How many bulls are there?

Assume the 240 cows produce milk for 10 months each year each cow produces an average of 25 litres of milk per day. Estimate the total milk production, in litres, of the 240 cows in one year. You must show your working.

A forest has 6500 trees. The trees are beech or maple. number of beech: number of maple = 1.6: 1

What fraction of the trees are beech?

Write number of beech: number of maple in the form 1: n

Anna plays a computer game. Each game is a win or a loss. She wins three quarters of her first 24 games. She then wins her next 12 games. For all 36 games, work out the ratio wins: losses Give your answer in its simplest form.

Divide 405 in the ratio 4: 11

Patterns are made using straight lines and arcs.

More rows are added to Pattern B so that number of straight lines: number of arcs = 10: 9 How many rows are added?

A different pattern is made using 20 straight lines and 16 arcs. The straight lines and arcs are made from metal. 20 straight lines cost £12 cost of one straight line: cost of one arc = 2: 3 Work out the total cost of the metal in the pattern.

The value of y is 20% more than the value of x. Circle the ratio x: y

5: 6 6: 5 4: 5 5: 4

b is two thirds of c. 5 a = 4 c Work out the ratio a: b: c Give your answer in its simplest form where a, b and c are integers.

a: b = 5: 2 How many times larger is a than b ? Circle your answer.

0.4 1.5 2.5 3

Circle the ratio that is equivalent to y: x

2: 5 5: 2 3: 2 2: 3

Cards in a pack are red or blue in the ratio red: blue = 2: 3 What fraction of the cards are red ? Circle your answer.

A different pack has 72 cards.

Work out the number of yellow cards.

Use 2 gallons = 9 litres to convert 17 gallons into litres.

x: y = 7: 4 x + y = 88 Work out the value of x – y

x: y = 7: 4 x + y = 88 Work out the value of x – y

Divide 120 in the ratio 1: 4

Write the ratio 7: 4 in the form n: 1

y is 100% more than x. Circle the ratio x: y

1: 100 100: 1 1: 2 2: 1

At a football game number of men: number of women: number of children = 13: 5: 7 There are 4152 more men than women. Work out the number of children at the game.

a: b = 9: 4 and 10 b = 7 c Work out a: c in its simplest form.

In a school show, girls: boys = 1: 1 girls who sing: girls who do not sing = 1: 2 8 girls sing in the show. How many students are in the show altogether?

Circle the value of x.

a: b = 4: 3 Circle the correct statement.

In an office there are twice as many females as males. of the females wear glasses. of the males wear glasses. 84 people in the office wear glasses.

Work out the number of people in the office.

The counters in a bag are red or blue. One fifth of the counters are red. Work out the ratio red counters: blue counters Circle your answer. 1: 4 1: 5 4: 5 1: 6

Ben and Katy throw darts at a target. Ben’s ratio of hits to misses is 5: 1 Katy’s ratio of hits to misses is 3: 1 Ben says, “5 is bigger than 3, so I must have more hits than Katy.” Give an example to show that this might not be true.

To make one cheese sandwich, Gina uses one bread roll and two cheese slices.

She is going to buy enough packs to have exactly twice as many cheese slices as bread rolls make more than 100 cheese sandwiches. Work out the least amount she can spend.

P is a rectangle with length 50 cm and width x cm Q is a rectangle with width y cm Not drawn accurately

The length of Q is 20% more than the length of P. The area of Q is 10% less than the area of P. Work out the ratio x: y Give your answer in its simplest form.

Rana sells 192 cakes in the ratio small: medium: large = 7: 6: 11 The profit for one medium cake is twice the profit for one small cake. The profit for one large cake is three times the profit for one small cake. Her total profit is £532.48 Work out the profit for one small cake.

CD and PQ are lines of length 12 cm

CE: CD = 1: 2 Mark point E on the line with a cross.

PR: RQ = 1: 3 Mark point R on the line with a cross.

Purple paint is made by mixing red paint and blue paint in the ratio 5: 2 Yan has 30 litres of red paint and 9 litres of blue paint. What is the maximum amount of purple paint he can make?

Purple paint is made by mixing red paint and blue paint in the ratio 5: 2 Yan has 30 litres of red paint and 9 litres of blue paint. What is the maximum amount of purple paint he can make?