1. 1
   A model of a bridge is built using a scale of 1 : 250. On the model, the length of the bridge is 60 cm.

   (a)

   What is the real length of the bridge, in metres?

   [1 mark]

   • A15 m
   • B1500 m
   • C150 m
   • D25 m

   (b)

   Using the same scale, the real width of the bridge is 12.5 m. What is the width of the model, in centimetres?

   [1 mark]

   • A3.125 cm
   • B5 cm
   • C31.25 cm
   • D50 cm

   (c)

   The area of the model bridge's deck is 240 cm². What is the area of the real bridge's deck, in m²?

   [1 mark]

   • A15 m²
   • B6000 m²
   • C150000 m²
   • D1500 m²

   Total for question 1: 3 marks

2. 2
   A charity shares a donation of £4200 between three projects, Water, Health and Education, in the ratio 2 : 3 : 5.

   (a)

   Calculate the amount given to the Health project.

   [2 marks]

   (b)

   The following year, the total donation increases so that the Education project alone receives £3000, with the same ratio 2 : 3 : 5 applied to the new total. Work out the new total donation.

   [2 marks]

   Total for question 2: 4 marks

3. 3
   A car travels at a constant speed and covers 180 km in 2 hours 30 minutes.

   (a)

   Show that the car's average speed is 72 km/h.

   [3 marks]

   (b)

   The car then travels a further 108 km at the same average speed of 72 km/h before stopping for fuel. Work out the total time, in hours and minutes, for the whole 288 km journey (180 km plus 108 km).

   [3 marks]

   Total for question 3: 6 marks

4. 4
   A scale drawing of a garden is drawn using a scale of 1 : 400, meaning 1 cm on the drawing represents 400 cm in real life. On the drawing, the garden is a rectangle measuring 8 cm by 5 cm.

   (a)

   Calculate the real-life area of the garden in m².

   [4 marks]

   (b)

   A pond in the real garden has an area of 18 m². Calculate the area of the pond as it would appear on the scale drawing, in cm².

   [4 marks]

   (c)

   The garden owner wants to build a scale model of a shed for the garden, using the same scale of 1 : 400. The real shed is a cuboid with volume 6 m³. Explain why the volume of the scale model of the shed, in cm³, is $6 \times 10^6 \div 400^3$, and calculate this volume, giving your answer to 3 significant figures.

   [5 marks]

   Total for question 4: 13 marks

End of questions