Simplify
Calculating from Whole
Calculating from Parts
Best Value
Problems
100

There are 4 cats and 6 dogs.  Write a ratio of dogs to cats.  Simplify!


3:2

100

Share $80 in the ratio 5:3

$50 : $30

100

The ratio of apples to bananas in a fruit bowl is 3:5. There are 15 bananas, how many apples are there? 

9 apples

100

1 gallon of water is sold for .85c. Two gallons is sold for $1.72. Which is the better value for money?

1 gallon

100

1935 people visit a library during one week. The ratio of children:adults is 1:4. How many more adults than children visited the library?

1161

200

Simplify:

35:7



5:1

200

Share $160 in the ratio 1:4:5

16:64:80

200

There are 7 butterflies, 3 lady bugs, 12 spiders, and 6 flies in big tube. What is the ratio of spiders to the total number of insects?


3:7

200

James and Maddie are selling cupcakes. James is selling 6 for $5. Maddie is selling 4 for $3.50. Who is selling cupcakes for better value?

James

200

For every 12 blue cars a factory makes, it makes 15 black cars.  If the factory made 80 blue cars, how many are black?


100 black cars

300

Simplify 24:72

1:3

300

The size of the interior angles of a triangle are in the ratio 1:3:8. Calculate the difference in size between the largest and smallest angles.

120 - 45 = 75 degrees

300

The ratio of the number of witches to brooms is 6:11. If there are 66 brooms, how many witches are there?

36 witches

300

Officeworks offers 150 sheets of paper for .75c and 400 sheets for £2.05. Which is the better value?

150 sheets for 0.75c

300

Mr Rogers is organising a trip to the football maths for 84 children. The ratio of teachers on the trip to children on the trip is 1:6. Each bus holds 30 passengers. How many buses are needed?

4

400

If there are 35 students in the class and 16 girls.  Write the ratio of girls to boys in simplest form.


16:19

400

A farmer has sheep, cows and chickens. The ratio of sheep to cows is 4:3. The ratio of chickens to sheep is 10:3. How many sheep, cows and chickens does he have?

61

400

The ratio of the number of days it rains to the number of days it doesn't rain is 3:1. If it rained for 36 days, how many did it NOT rain?


12 days it doesn't rain

400
Candles normally cost $6. Two websites have special offers. Candles4Fun has an offer of buy 3 get 1 free. Candles R Us are selling them for 20% off. Laura wants to buy 30 candles, which deal is better?
Candles4Fun - $138


400

Barnaby has 288 counters in a bag. The counters are red, yellow, and white. 3/8 of the counters are red. The other colours are yellow and white in the ratio 1:4. How many counters of each colour are there?

Red - 108

Yellow - 36

White - 144

500

A farmer keeps sheep, cows and chickens. The ratio of sheep to cows is 4:3. The ratio of chickens to sheep is 10:3. What is the ratio of sheep:cows:chickens

12:9:40

500

There are between 30 and 40 sweets in a bag. Ben and Daisy share the sweets exactly in the ratio 4:5. How many sweets were originally in the bag?

36

500

I am making a dinner for a fundraiser. The ratio of cups of cheese to cups of vegetables is 9:4.  If you have 96 cups of vegetables, how many cups of cheese do you need?

216

500

Two shops sell the same perfume which usually sells 100ml for $40. Shop A is selling 50% extra for free. Shop B is selling them on a buy one get one half price sale. Which offer is better?

Shop A is better

500

Alice had 7x sweets and Olivia had 3x sweets. Alice gives 3 sweets to Olivia. The sweets are now in the ratio 5:3. How many sweets were there in total?

Alice had 28 sweets, Olivia had 12 sweets. Total = 40 sweets.