RATIO AND PROPORTION - PRACTICE QUESTIONS WITH SOLUTIONS - WORKSHEET PDF

 

RATIO AND PROPORTION

DIRECT/INDIRECT

Pg140

# Two numbers are in the ratio 6:5. One of the numbers is 0.03.

Work out the two possible values for the other number.

 

# The sides of a quadrilateral are in the ratio 2:3:5:8.

The difference between the shortest side and the longest side is 7.5cm. Work out the perimeter of the quadrilateral.

 

# In a right-angled triangle, the difference between two of the angles is 20°.

a Work out the size of the angles in the triangle.

b How many solutions are there to part a? Explain why.

c For each solution to part a, write the ratio of the angles from smallest to biggest in its simplest form.

 

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Pg143

#  In a factory, 4 people can pack 20 boxes in 1 hour.

How long does it take 3 people to pack 20 boxes? Give your answer in hours and minutes.

 

# It takes 8 people 5 days to dig a hole.

How long does it take 10 people to dig the hole?

 

Pg144

#  The values of X and Y in the table are in direct proportion. Work out the missing numbers A, B, C and D.

 

# Julio reads that the length of an adult's head and the length of their body are in direct proportion.

 Julio's dad has a head length of 24 cm and a body length of 156 cm.

Using these measurements, work out

 a the body length of an adult with a head length of 26cm

b the total height of an adult with a body length of 143 cm.

 

# It takes 6 people 20 days to paint 4 houses.

a How many houses can 3 people paint in 20 days?

b How many people does it take to paint 4 houses in 10 days?

c How many days does it take 8 people to paint 4 houses?

d Copy and complete the table.