Year 8
Year 8

Inverse proportion in context

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Lesson details

Key learning points

  1. In this lesson, we will interpret, solve and model solutions to inverse proportion problems.

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This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

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5 Questions

Q1.
Fill in the gaps: Two quantities a and b are said to be directly proportional if one quantity is always a constant ........ of the other.
factor
Correct answer: multiple
prime
Q2.
Fill in the gaps: Two quantities x and y are said to be inversely proportional if x increases as y ............... at the same rate, so their product is constant.
Correct answer: decreases
increases
stays the same
Q3.
Fill in the gaps: Two variable quantities are said to be ........................ proportional if the product of the two quantities is constant.
constantly
directly
Correct answer: inversely
Q4.
Three builders take 15 days to complete a project. How many days does would it take one builder?
30 days
Correct answer: 45 days
5 days
Q5.
It takes 4 friends 6 hours to clean the garden. How long will it take 2?
Correct answer: 12 hours
24 hours
3 hours

5 Questions

Q1.
It takes 4 builders 6 days to build a wall. How long will it take 2 builders?
Correct answer: 12 days
24 days
3 days
Q2.
It takes builders 6 days to build a wall. How long will it take 8 builders?
14 days
Correct answer: 3 days
48 days
9 days
Q3.
It takes 2 people 3 hours to clean the house. How long does it take 6 people to clean?
0. 5 hrs
Correct answer: 1 hr
1.5 hrs.
Q4.
A journey takes 6 hours if driving at 30 mph. How long should the same journey if the driver drives ta 60mph?
Correct answer: 3 hrs
4 hours
90 min
Q5.
True or False: The circumference of a circle and its diameter are inversely proportional?
Correct answer: False
True