Year 8
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Lesson details
Key learning points
- In this lesson, we will explore when two quantities are inversely proportional to each other. We will learn about the term inverse proportion and how to identify an inversely proportional relationship.
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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.
1 bar of chocolate costs £2.10. How much do 3 bars of chocolate cost?
£3.60
630
Q2.
Four tickets to the cinema cost £42. How much do 8 tickets cost?
£168
£336
Q3.
Four tickets to the cinema cost £42. How much do 9 tickets cost?
£105
£159
Q4.
Fill in the gaps: You can use .............. .............. to work out the best value for money.
inverse proportion
shop offers
Q5.
x and y are directly proportional. What happens to y if x doubles?
+2
half
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
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.
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
Q4.
Three builders take 15 days to complete a project. How many days does would it take one builder?
30 days
5 days
Q5.
It takes 4 friends 6 hours to clean the garden. How long will it take 2?
24 hours
3 hours