Practical Applications of Ratios and Proportions

This video tutorial covers a range of mathematical concepts including ratios, currency conversion, recipe scaling, value for money, density calculations, speed and distance, and proportions. It provides practical examples and problem-solving techniques to help understand these concepts in real-world scenarios.

If you share £240 in the ratio 5:7, how much does the smaller share receive?

• £160

• £100

• £120

• £140

Craig and Ian share money in the ratio 8:3. If Craig gets £32, how much does Ian get?

• £16

• £8

• £20

• £12

Emily and James share money in the ratio 4:7. If James gets £21 more than Emily, how much do they share in total?

• £70

• £84

• £49

• £77

What is the combined ratio of A to B to C if A:B is 3:5 and B:C is 2:1?

• 2:5:3

• 3:5:2

• 6:10:5

• 5:10:6

A phone costs £480 in the UK and $600 in the US. If the exchange rate is £1 = $1.29, where is it cheaper?

• Same price

• Cannot determine

• US

• UK

Alice has 140g of butter. If a recipe for 24 biscuits requires 150g, does she have enough?

• Only for 8 biscuits

• Only for 16 biscuits

• No

• Yes

Which is better value: 2kg of washing powder for £3.40 or 5kg for £7.20?

• 5kg

• 2kg

• Same value

• Cannot determine

If 5 tins of beans weigh 1800g, what is the weight of one tin?

• 450g

• 400g

• 360g

• 300g

What is the density of an alloy made from 180g of copper and 105g of zinc?

• 8.142

• 9.000

• 7.000

• 8.500

A car travels 30 miles in 24 minutes. Does it need to exceed 70 mph?

• Cannot determine

• Exactly 70 mph

• No

• Yes