Stage 8 - Q1 - 2 marks
Use \(5\text{ miles}\approx8\text{ km}\). Convert 15 miles to kilometres.
Hint
Multiply miles by eight fifths.
Stage 8 - Q2 - 2 marks
Use \(5\text{ miles}\approx8\text{ km}\). Convert 32 kilometres to miles.
Hint
Multiply kilometres by five eighths.
Stage 8 - Q3 - 2 marks
Use \(5\text{ miles}\approx8\text{ km}\). Convert 7.5 miles to kilometres.
Hint
The same ratio works with decimal distances.
Stage 8 - Q4 - 3 marks
Use \(5\text{ miles}\approx8\text{ km}\). Which is longer, 18 miles or 28 kilometres?
Hint
Choose one common unit.
Stage 8 - Q5 - 3 marks
Use \(5\text{ miles}\approx8\text{ km}\). A route has legs of 12 miles and 18 km. Find the total in kilometres.
Hint
Convert before adding.
Stage 8 - Q6 - 3 marks
Use \(5\text{ miles}\approx8\text{ km}\). A journey totals 40 km. The first part is 9 miles. How many kilometres remain?
Hint
Identify the whole and the completed part.
Stage 8 - Q7 - 4 marks
Use \(5\text{ miles}\approx8\text{ km}\). A walker covers 6 miles on each of five days, then 14 km on the last day. Find the total in miles.
Hint
Keep the repeated part grouped together.
Stage 8 - Q8 - 4 marks
Use \(5\text{ miles}\approx8\text{ km}\). A 48 km route is 20% longer than another route. Find the shorter route in miles.
Hint
Twenty percent longer means multiplying the shorter distance by 1.2.
Stage 8 - Q9 - 5 marks
Use \(5\text{ miles}\approx8\text{ km}\). A pupil converts miles to km by multiplying by 1.6, then converts back by multiplying by 0.6. Explain why the final distance is wrong and give the correct reverse multiplier.
Hint
Test the pair of operations on any starting distance.
Stage 8 - Q10 - 6 marks
Use \(5\text{ miles}\approx8\text{ km}\). A route has two legs. The first is twice as long as the second. The first is recorded in miles and the second in kilometres. The two displayed numbers add to 45. Find both physical distances in kilometres.
Hint
Convert the first leg’s physical distance to its displayed unit before forming the equation.