1. 1
   A cyclist travels 45 km in 2.5 hours at a constant speed.

   (a)

   Find the cyclist's average speed.

   [1 mark]

   • A15 km/h
   • B18 km/h
   • C20 km/h
   • D22.5 km/h

   (b)

   At the same speed, how far would she travel in 4 hours?

   [1 mark]

   • A60 km
   • B66 km
   • C72 km
   • D80 km

   (c)

   At the same speed, how long would it take to travel 63 km?

   [1 mark]

   • A3 hours
   • B3.5 hours
   • C4 hours
   • D4.5 hours

   Total for question 1: 3 marks

2. 2
   A metal block has a mass of 540 g and a volume of 60 cm$^3$. A second block, made of the same material, has a volume of 85 cm$^3$.

   (a)

   Find the density of the metal block.

   [2 marks]

   (b)

   Find the mass of the second block, which has a volume of 85 cm$^3$ and is made of the same material.

   [2 marks]

   Total for question 2: 4 marks

3. 3
   A force of 250 N is applied over an area of 0.5 m$^2$. Meanwhile a tap fills a tank at a flow rate of 12 litres per minute.

   (a)

   Find the pressure exerted, using pressure = force $\div$ area.

   [3 marks]

   (b)

   Find how long the tap would take to fill an empty tank of capacity 90 litres, giving your answer in minutes and seconds.

   [3 marks]

   Total for question 3: 6 marks

4. 4
   A city has a population of 850000 people and covers an area of 340 km$^2$. A currency exchange booth converts money at a rate of 1 dollar to 3.67 units of local currency, charging a flat fee of 5 dollars per transaction.

   (a)

   Find the population density of the city, in people per km$^2$.

   [4 marks]

   (b)

   A tourist exchanges 200 dollars. Find the amount of local currency received, given the flat fee is deducted first and the remaining dollars are then converted.

   [4 marks]

   (c)

   A second city has an area of 280 km$^2$ and a population density of 3200 people per km$^2$. Find its population, then find the combined population density of both cities together (total population divided by total area), correct to 1 decimal place.

   [5 marks]

   Total for question 4: 13 marks

End of questions