Proportion in context
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Lesson details
Key learning points
- In this lesson, we will investigate word proportion problems involving exchange rates, and cost scaling. We will then model their solutions.
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8 Questions
Q1.
Complete the sentence: When two quantities are in ........................ , when one variable doubles, the other doubles too.
constant of proportionality
indirect proportion
Q2.
Complete the sentence: When two quantities are in direction proportion, when one variable is zero, the other is .............
10
2
Q3.
x and y are in direction proportion. When x is 4 y is 11. What is the value of y when x = 12?
23
5
Q4.
The cost of T shirts online at £12 each. The postage charge is £3.50 per order. How much will it cost to order 2 T shirts?
£24
£31
Q5.
Think about the previous question: Are the number of T-shirts and the cost in direct proportion?
Yes
Q6.
Which table shows direct proportion?
Option 2
Option 3
Q7.
What is the constant of proportionality in the table below?
10
2
Q8.
What is the constant of proportionality between m and n?
4
5
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 18 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