EXPRESSING THE GIVEN RATIO IN SIMPLEST FORM WORKSHEET

Express the following ratios in simplest form :

Solution

11)  Daisy mixes 50 ml of orange juice with 200 ml of water. Write down the ratio of orange juice to water. Give your answer in its simplest form.

Solution

12)  At a football match, there are 3000 men and 1800 women. Write down the ratio of male fans to female fans. Give your answer in its simplest form.

Solution

13)  Aidan, Bill and Cara share sweets in the ratio of their ages. Aidan is 12 years old. Bill is 9 years old. Cara is 3 years old. Write down the ratio of their ages. Give your answer in its simplest form.

Solution

14)  In a nursery, there are 5 adults and 14 children. Write the ratio of adults to children in the form 1 : n.

Solution

15)  Ellie is making a cake. The instructions say that the ratio of sugar to flour should be 1 : 3 Ellie uses 250 g of sugar and 650 g of flour. Has Ellie used the correct ratio of sugar to flour ?

Solution

16)  There are 32 pupils in a class. 20 of them are girls. What is the ratio of boys to girls in its simplest form?

Solution

17)   There are 50 sweets in a mixed pack. 25 are jellies, 10 are fizzy cola bottles and the rest are boiled. Write the ratio of each type of sweet in its simplest form.

Solution

18)  A fruit drink is made by mixing 60 ml of orange juice with 180 ml of pineapple juice. What is the ratio of orange juice to pineapple juice in its simplest form?

Solution

19)  Concrete is made by mixing sand, water and concrete mix in the ratio of 6 parts sand, 3 parts water and 3 parts concrete mix. What ratio is this in its simplest form?

Solution

1)  Express as a ratio in simplest form :

a) the number of circles to squares

(b)  cats to mice

(c)  Teachers to students 

(d)  Trees and flowers

2)  The column graph represents the results of a survey to determine the method by which students travel to school.

a) Find the total number of students surveyed.

b) Write as a ratio :

i) students arriving by car : students who walk

ii) students arriving by bus : total number of students surveyed.

c) What fraction of the students surveyed travel to school by bus?

3)  Express as a ratio in simplest form:

a) 20 cents to $1

b) $3 to 60 pence

c) 15 kg to 30 kg

d) 13 cm to 26 cm

Write the following comparisons as ratios in simplest form. Compare the First quantity mentioned with the second quantity mentioned.

(1)  A shirt costing €64 to another costing €32

(2)  A rock melon of mass 3 kg to a watermelon of mass 9 kg

(3)  The height of a 1.5m shrub to the height of a 6m tree

(4)  A wetsuit costing $175 to a wetsuit costing $250

(5)  The top speed of a car which is 150 km h^-1 to the top speed of a formula. One car which is 350 km h^-1

(6)  A log of length 4m to a stick of length 10cm

(7)  The height of an insect which is 2mm to the height of a rat which is 10 cm

(a)  Shorter side of A : Shorter side of B

(b)  longer side of A : longer side of B

(c)  Area of A : Area of B

Solution

Write the following comparisons as ratios in simplest form. Compare the First quantity mentioned with the second quantity mentioned.

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