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Ratio and proportion

Total questions: 24

Worksheet time: 26mins

Name
Class
Date
1.

Mr Coope drives 472 miles in 8 hours. At this rate, how many miles would he drive in 6 hours?

(a)  

2.

Mr Flood records that 48% of his class do their homework on time. What decimal represents the percent of students who hand it in late.

(a)  

3.

Which ratios are equivalent to 18:21

a)

6:7

b)

12:18

c)

36:42

d)

9:10.5

4.

Share 150 sweets in the ratio 3:7:5

(a)  

5.

The ratio of numbers of girls and boys participating in football of a school is 4:5. If the total number of students is 153, determine the number of boys participating in football.

(a)  

6.

If you need 4 eggs to make 12 Yorkshire puddings. How many do you need to make 18 Yorkshire puddings ?

(a)  

7.

On a map with a scale of 1 in = 6 miles, two towns are 5 inches apart. What is this distance in real life?

(a)  

8.

The ratio of number of apples to oranges in a box is 3:2. The number of apples is 5 more than the number of oranges. How many fruits are there in the box?

(a)  

9.

Clothing store A sells T-shirts in only three colors: red, blue and green. The colors are in the ratio of 3 to 4 to 5. The total number of blue T-shirts and red T-shirt is 10 more than the number of green ones. How many T-shirts does it have altogether?

(a)  

10.
In the recipe of a lemonade 2 cups of sugar is needed for 3 lemons. How many lemons are needed for 6 cups of sugar?
a)
4
b)
6
c)
8
d)
9
11.

What is it called when you set two ratios equal to each other?

a)

Proportion

b)

Fraction

c)

Ratio

d)

Congruent

12.

Eight out of 30 passengers are K-pop fans. Find the ratio of the K-pop fans to the other passengers.

a)

8/22

b)

7/22

c)

4/11

d)

5/11

13.

6 men can paint a building in 15 days. Find the number of days taken for 5 men to paint the same building.

a)

10

b)

14

c)

18

d)

22

14.

T is inversely proportional to P

When T is 20, P is 4

Which formula would link T and P?

a)

T = 5PT\ =\ \frac{5}{P}

b)

T=80PT=80P

c)

T = 5PT\ =\ 5P

d)

T = 80PT\ =\ \frac{80}{P}

15.
In an animal shelter, the ratio of dogs to cats is 5 to 3. There are 25 dogs.  Write and solve a proportion to find the number of cats.
a)
c=15
b)
c=18
c)
c=21
d)
c=16
16.
An eight pack of juice boxes cost £4.81, and a twelve pack of juice boxes cost £6.48. Which is a better buy?
a)
8 pack
b)
12 pack
c)
They have the same unit price
17.
Solve the proportion.
a)
20
b)
7
c)
22
d)
11
18.

The ratio of oranges to apples in a fruit basket is 3 to 4. However, after Mary and Alan eat four apples, the ratio changes to 3 to 2. How many oranges are there in the fruit basket?

(a)  

19.

In a class, the ratio of the number of girls to boys is 5 ∶ 4. If only 15 girls had enrolled in the class, the ratio would have been 25 ∶ 8. How many students are in the class?

(a)  

20.

Alex and Thomas share 30 sweets. They divide them in the ratio 3:2. How many sweets does Thomas have?

(a)  

21.

Sophie has 60 pencils. The ratio of sharpened pencils to blunt pencils is 4:1

How many sharpened pencils does Sophie have?

(a)  

22.

There are 20 students in a class. 12 of the students are girls. Find the ratio of the number of girls to the number of boys. Give your ratio in the form n: 1.

(a)  

23.

The diameter of the Moon is 3.5×103km.The diameter of the Sun is 1.4×106km. Calculate the ratio of the diameter of the Moon to the diameter of the Sun. Give your answer in the form 1 : 𝑛.

(a)  

24.

On a school trip the ratio of the number of teachers to the number of students is 1:15. The ratio of the number of male students to the number of female students is 7:5. Work out what percentage of all the people on the trip are female students. Give your answer correct to the nearest whole number.

(a)