Starter quiz
Select the ratio of unshaded to shaded squares written in its simplest form.- 2 : 1 ✓
- 3 : 1
- 4 : 2
- 16 : 8
- 1 : 2
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- Write the ratio 36 : 30 in its simplest form.
- '6 : 5' ✓
- A recipe for a stir-fry uses 60 ml of soy sauce. The recipe is for 8 people. How many millilitres of soy sauce would you need to make the recipe for 24 people?
- '180' ✓
- A recipe for a stir-fry uses 48 ml of soy sauce. The recipe is for 6 people. How many millilitres of soy sauce would you need to make the recipe for 10 people?
- '80' ✓
- A recipe for soup for 8 people uses 200 g of carrots. Lucas is making the soup for more people and has correctly scaled the recipe. He is using 300 g of carrots. How many people will this serve?
- '12' ✓
- A scale on a map is 1 : 25 000. How long would something that measured 3 cm on the map be in real life?
- 0.75 cm
- 0.75 km ✓
- 75 000 m
- 75 000 km
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Exit quiz
- Two ______ are in direct proportion if they have a constant multiplicative relationship.
- 'variables' ✓
- A shop sells two different sized bottles of water. A 500 ml bottle costing £1.25 and a 3 L bottle costing £7. Which is the best value for money?
- 500 ml bottle
- 3 L bottle ✓
- They are the same value for money.
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- A shop sells two different sized bottles of water. A 4 L bottle costing £1.75 and a 6 L bottle costing £2.45. Which is the best value for money?
- 4 L bottle
- 6 L bottle ✓
- They are the same value for money.
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- Starting with the worst value for money, sort the options in order of value for money based on their price.
- 1⇔1 carton for £1
- 2⇔2 cartons for £1.90
- 3⇔4 cartons for £3.72
- 4⇔6 cartons for £4.80
- Match the item with the appropriate reason as to whether it is worth buying it in a large quantity if there is a deal.
- 2 copies of the same book⇔Unlikely to want this much (unless someone else would benefit). ✓
- 3 boxes of washing powder⇔Keeps for a very long time and is always needed. ✓
- 18 eggs⇔Usually keeps for 2 weeks unrefrigerated. Might be worth it. ✓
- A ticket to the cinema costs £5. There are two films showing at 6 pm. One is 95 mins long and the other is 189 mins long. Which film is better value for money?
- The 95 min film.
- The 189 min film.
- Both.
- You cannot tell. ✓
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Worksheet
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Presentation
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Video
Lesson Details
Key learning points
- There are different ways to calculate value for money and price is only one factor
- Mental calculations and technology can help determine value for money
- Value for money is a personal concept
Common misconception
It is always best to buy the option that provides the same quantity for the cheapest price.
Price is not the only factor for determing value for money in contextual situations. You may also want to consider factors such as quality of product or whether one option would lead to wastage.
Keywords
Direct proportion - Two variables are in direct proportion if they have a constant multiplicative relationship.
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