Compound measures test questions

1

Tim is practising for the 100 m sprint. He can complete a race in 12 s. What is his speed?

2

Barry wants to know how far it is from his house to the local sports centre. He estimates that his average speed when he drives there is around 25 miles/hour and that it takes him 15 minutes to get there. Using Barry’s estimates, what is the approximate distance from Barry’s house to the sports centre? Give your answer in miles.

3

Sian is a keen cyclist and plans to ride in a 50 km race next week. She knows her average speed is roughly 12.5 km/hour but she wants to know how long it will take her to complete the race. How long should it take Sian to finish the race?

4

Questions 4 - 10 are for Intermediate tier only

Bill wants to know if his pocket watch is solid gold. Solid gold has a density of 19.3 g/cm3. He knows that his watch has a mass of 120 g and a volume of 8 cm3. What is the density of the watch?

5

The Bank of England currently holds 238 m3 of gold in a vault deep below the streets of London. Gold has a density of 19,300 kg/m3. What is the mass of the gold?

6

What is the fuel efficiency of a tank if it can travel four miles on two gallons of petrol?

7

What is the range of a hybrid car with a fuel efficiency of 45 MPG and a petrol tank with a capacity of nine gallons?

8

Charlie knows that petrol costs £5.80 per gallon. How much will it cost her to travel 9 miles to the local supermarket if her car has a fuel efficiency of 30 MPG?

9

Dublin, the capital of Ireland, has a population of roughly 1,000,000 and covers an area of 355 km2. What is the population density of Dublin?

10

Britney wants to estimate the population of her village. She considers the local area and estimates that there are 108 people per km2. She knows from looking at a map that the village has an area of 6.5 km2. Using Britney’s estimates, what is the population of the village?