Lesson details

Key learning points

  1. In this lesson, we will solve a variety of direct and inverse proportion problems. We will learn how to identify when a problem is about direct or inverse proportion.

Licence

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7 Questions

Q1.
True or False? Inverse proportion can be represented graphically with the line 𝒚 = 𝒂𝒙 passing through the origin.
Correct answer: False
True
Q2.
True or False: Inverse proportion can be represented graphically using 𝑦 =𝑎/𝑥. This is a curved line.
False
Correct answer: True
Q3.
Direct, inverse or neither?
Correct answer: Direct
Inverse
Neither
Q4.
Direct, inverse or neither?
Correct answer: Direct
Inverse
Neither
Q5.
Direct, inverse or neither?
Direct
Inverse
Correct answer: Neither
Q6.
Direct, inverse or neither?
Direct
Correct answer: Inverse
Neither
Q7.
Direct, inverse or neither?
Direct
Inverse
Correct answer: Neither

7 Questions

Q1.
Decide whether the scenarios below represent direct or inverse proportion: The cost of apples and the quantity of apples.
Correct answer: Direct
Inverse
Q2.
Decide whether the scenarios below represent direct or inverse proportion: The speed travelled and the time taken.
Direct
Correct answer: Inverse
Q3.
The time it takes to build a house compared with the number of builders all working at the same rate.
Direct
Correct answer: Inverse
Q4.
Is this a direct or inverse proportion question? It takes 6 hours to fill a pool with water coming from three taps. How long would it take if only two taps are switched on?
Direct
Correct answer: Inverse
Neither
Q5.
Is this a direct or inverse proportion question? It costs £6 for a cinema ticket. Given that there are no current offers. How much would it cost to buy 6 tickets?
Correct answer: Direct
Inverse
Neither
Q6.
Does this scenario represent direct or inverse proportion or neither? 𝑥 represents the number of units of gas used in a house in a month. 𝑦 represents the cost in pence. There is a charge of £12 each month, even if no gas is used. Each unit of gas costs 25 pence.
Direct
Inverse
Correct answer: Neither
Q7.
Is this a direct or inverse proportion question? Michael fills a fish tank. Michael uses a 4 litre jug, he will need to use 15 jugfuls. How many jugfuls are needed if he uses a 6 litre jug?
Direct
Correct answer: Inverse
Neither

Lesson appears in

UnitMaths / Direct and indirect proportion