1. 1
   A train travels a distance of 240 km in 3 hours at a constant speed.

   (a)

   What is the speed of the train, in km/h?

   [1 mark]

   • A40 km/h
   • B45 km/h
   • C80 km/h
   • D720 km/h

   (b)

   Using the speed found in part (a), how long would the train take to travel 200 km at the same constant speed?

   [1 mark]

   • A2 hours
   • B2.5 hours
   • C3 hours
   • D3.5 hours

   (c)

   What is the train's constant speed converted into metres per second (m/s)?

   [1 mark]

   • A10 m/s
   • B12.5 m/s
   • C22.2 m/s
   • D80 m/s

   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)

   Calculate the density of the block, in g/cm$^3$.

   [2 marks]

   (b)

   A second block made of the same metal has a volume of 45 cm$^3$. Calculate its mass.

   [2 marks]

   Total for question 2: 4 marks

3. 3
   A box exerts a force of 150 N on the ground. The area of contact between the box and the ground is 0.5 m$^2$.

   (a)

   Calculate the pressure exerted by the box on the ground, in N/m$^2$.

   [3 marks]

   (b)

   The box is turned onto its side so that the area of contact with the ground becomes 0.2 m$^2$, while the force stays the same. Show that the new pressure is 750 N/m$^2$, and explain why the pressure has increased.

   [3 marks]

   Total for question 3: 6 marks

4. 4
   A supermarket sells rice in two bag sizes: a 2.5 kg bag costing $\pounds 3.75$, and a 4 kg bag costing $\pounds 5.60$.

   (a)

   Calculate the price per kg for each bag size, and state which bag offers better value for money.

   [4 marks]

   (b)

   For a larger event, a chef buys two 4 kg bags and one 2.5 kg bag, needing at least 9 kg of rice in total. Show that this is enough rice, and calculate the total cost.

   [4 marks]

   (c)

   The supermarket increases the price of the 4 kg bag by 10% and decreases the price of the 2.5 kg bag by 20%. Calculate the new price per kg for each bag, and determine, with full working, which bag now offers better value for money.

   [5 marks]

   Total for question 4: 13 marks

End of questions