1. 1
   A runner's training session is as follows: she runs 8 km in the first 40 minutes, rests for 10 minutes, then runs a further 5 km in 20 minutes.

   (a)

   What is her average speed, in km/h, during the first 40 minutes?

   [1 mark]

   • A8 km/h
   • B12 km/h
   • C20 km/h
   • D320 km/h

   (b)

   What is her average speed, in km/h, during the final 20-minute run?

   [1 mark]

   • A10 km/h
   • B12 km/h
   • C15 km/h
   • D100 km/h

   (c)

   What is the total distance she covers during the whole training session?

   [1 mark]

   • A13 km
   • B5 km
   • C8 km
   • D70 km

   Total for question 1: 3 marks

2. 2
   A metal cube has a mass of 540 g and a volume of 60 $\text{cm}^3$.

   (a)

   Given that density = mass $\div$ volume, calculate the density of the metal in $\text{g/cm}^3$.

   [2 marks]

   (b)

   A second cube is made from the same metal and has a volume of 150 $\text{cm}^3$. Using the density found in part (a), calculate the mass of this second cube.

   [2 marks]

   Total for question 2: 4 marks

3. 3
   A box exerts a force of 240 N on the ground over a contact area of 0.4 $\text{m}^2$.

   (a)

   Given that pressure = force $\div$ area, calculate the pressure the box exerts on the ground, in $\text{N/m}^2$.

   [3 marks]

   (b)

   The box is turned onto its side so that the same force of 240 N now acts over a larger contact area of 0.6 $\text{m}^2$. Calculate the new pressure and state, with a reason, how the pressure has changed compared to part (a).

   [3 marks]

   Total for question 3: 6 marks

4. 4
   A delivery van travels from a warehouse to Town A, a distance of 90 km, taking 1.5 hours. It then travels from Town A to Town B, a distance of 60 km, taking 45 minutes. Finally, it returns directly to the warehouse, a distance of 150 km, taking 2 hours 45 minutes.

   (a)

   Find the average speed, in km/h, for the second leg of the journey (Town A to Town B).

   [4 marks]

   (b)

   Find the average speed, in km/h, for the whole journey (all three legs combined).

   [4 marks]

   (c)

   The van's fuel consumption is 8 km per litre of fuel, and fuel costs 1.6 dollars per litre. Calculate the total cost of fuel for the whole journey (all three legs).

   [5 marks]

   Total for question 4: 13 marks

End of questions