Simplify
4:12
1:3
Share £20 in the ratio 2:3
£8:£12
If £1 = $1.12, how many dollars would I get for £365?
$408.80
Katy and Becky share some money in the ratio 2:1.
Katy receives £6 more than Becky.
How much do they each receive?
Katy= £12
Becky= £6
A prize is divided in the ratio 5:1.
If the difference between the shares is £200, how much is the total prize?
£300
15:35
3:7
Share 88p in the ratio 2:4:5
16p:32p:40p
Cooking oil is sold in two sizes of cans.
A small can contains 4 litres of cooking oil and costs £2.20
A large can contains 6 litres of cooking oil and costs £3.24
Which size of can gives the better value for money?
£2.20/4 = 55p
£3.24/6 = 54p
Large can is better value
There are blue, red and yellow counters in a bag in the ratio 9:6:3.
There are 15 more blue counters than red counters.
How many counters are there in total?
90
In a school, all students study one language: French or Spanish.
The ratio of girls to boys in Year 11 is 4:3
¾ of the boys study French
There are 168 students in Year 11.
How many of the boys study Spanish?
18 boys take Spanish
48m:36m
4:3
Liam and Nathan share £60 in the ratio 1:3
How much money does each man receive?
£15:£45
Zainab makes a drink with squash and water in the ratio 3:7. Rob makes a drink with squash and water in the ratio 4:11. Who makes the stronger squash?
Zainab's squash: 3/10 = 9/30
Rob's squash: 4/14 = 8/30
9/30>8/30 so Zainab's squash is stronger
A flapjack is made of oats, butter and syrup in the ratio 7:2:5.
A recipe requires 210g more syrup than butter.
How many grams of oats should I use?
490g
The angles in a triangle are in the ratio 1:1:4
Find the size of each angle
30o:30o:120o
3kg:250g
12:1
Mark is making concrete.
Concrete is made by mixing cement, sand and gravel in the ratio 1:2:3.
Mark wants to make 300kg of concrete.
How much gravel does Mark need?
150kg
A box of cereal recommends using 45g cereal and 30ml milk to make 1 bowl of cereal. How much milk do I need to make the maximum number of bowls from a 500g box?
11 bowls maximum
11x30ml = 330ml milk
In a recipe for vegan pancakes, you need 200g flour, 80ml soy milk, 40ml vegetable oil and 125g sugar.
I use 255g more sugar than vegetable oil.
How much flour do I use?
600g
At a holiday park, guests either stay in a caravan or in a tent.
In 2017 there were 460 guests.
In 2017 the number of guests was 15% greater than in 2016.
The ratio, in 2016, of people staying in a caravan to staying in a tent was 5:3.
How many guests stayed in caravans in 2016?
250
44,000cm:12km
11:300
A drink is made by mixing orange juice and lemonade in the ratio 1:4
Lemonade costs 80p per litre
Orange juice costs £1.20 per litre
Work out the cost of making 3 litres of the drink.
£2.64
David has a full 800ml bottle of car shampoo.
He is going to mix some of the car shampoo with water.
The bottle has this guidance: Mix 1/4 of the bottle with 1.8L water.
David is going to use 360ml of water.
How much car shampoo should David use in ml?
40ml
32% of animals at a pet shop are rats. 28% of animals are parrots. The rest are cats.
There are 64 more cats than rats.
How many parrots are there?
224
In a school election there were four candidates: Tom, Rebecca, Olly and Wendy.
540 students voted in the election.
5% of the votes were for Tom
2/9 of the votes were for Rebecca
The ratio of the number of votes for Olly to the number of votes to Wendy was 1:2
How many votes were for Wendy?
5% of 540 = 27 for Tom
2/9 of 540 = 120 for Rebecca
540 - (27+120) = 393 between Olly & Wendy
Wendy gets 262 votes