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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.
Licence
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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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