National 5 Applications of Mathematics

Measurement and Scale Worksheet

Name: __________________________Date: ___________________________Class: __________________________

Answer each question clearly. Show working for any multi-step question and leave your final answer easy to read.

  1. 1

    A storage box measures 32 cm by 35 cm by 27 cm. What is its capacity in litres?

  2. 2

    A room is 6.2 m long and 4.4 m wide. Carpet costs £14.99 per m². Estimate the cost of carpeting the room.

  3. 3

    A model is built to a scale of 1:25. The real object is 6 m long. How long is the model in cm?

  4. 4

    A box volume is being calculated. Which unit is appropriate for the final answer?

  5. 5

    A plan shows a shelf length of 3.5 m. What is this in centimetres?

  6. 6

    On a map, 1 cm represents 10 km. A route is 6 cm on the map. What is the real distance?

  7. 7

    A rectangular room is 10 m by 3 m. What floor area must be covered?

  8. 8

    A rectangular garden is 15 m by 11 m. A gate 1.5 m wide will not need fencing. How much fencing is needed?

  9. 9

    A storage box measures 40 cm by 35 cm by 12 cm. What is its capacity in litres?

  10. 10

    A room is 5.4 m long and 3.6 m wide. Carpet costs £12.50 per m². Estimate the cost of carpeting the room.