Practice
Measurement and Scale practice
Practise measurement and scale at your own pace. Choose a difficulty, try each question on paper or in your jotter, use hints only when you need a start, then show answers to check your work.
Build your confidence
Choose a difficulty and practice length, write down your working, then reveal answers only when you are ready to check. Hints give a starting point without giving away the answer.
Practice set
Current set: Mixed. Show your method for each question before checking answers.
1. Pack items taking 2, 4, 2, 6, 3, 3, 4, 6 litres of space into uniform containers of capacity 10 litres. What is the minimum number of containers?
Minimum-container packing
Capacity 10; item sizes:
2. A straight route is 18 m long and must fit on paper with 24 cm usable width. Choose a practical scale that uses the paper well without exceeding it.
Drawing limits
Real route Usable paper width 18 m 24 cm 3. Use the three bearings and leg lengths in the shown navigation course. In which direction is Finish from Start?
Three-leg navigation course
- Leg 1: 045°, 5 km
- Leg 2: 120°, 4 km
- Leg 3: 210°, 4 km
4. A box volume is being calculated. Which unit is appropriate for the final answer?
Volume unit check
Use the labels and units shown in the diagram.
5. A shaft is 20.00 mm ± 0.04 mm. A hole is 20.08 mm ± 0.03 mm. Will every acceptable shaft fit every acceptable hole?
6. The solid is made from the two cuboids shown, with no overlap. Calculate its total volume.
Two-cuboid solid
7. A wall is 4.5 m wide and 2.4 m high. Paint covers 8 m² per litre. How many whole litres should be bought for one coat?
Paint coverage
Use the labels and units shown in the diagram.
8. A straight slope passes through (3, 4) and (7, 12). Calculate its gradient.
9. A liquid has volume 120 cm³ and density 1.8 g/cm³. Calculate its mass.
10. A plan shows a shelf length of 4.2 m. What is this in centimetres?
Unit conversion
Use the labels and units shown in the diagram.
Practice answers
Check your work when you are ready.