🎉 Final Checkpoint
This assessment covers the full Measures & Mensuration topic.
Section A: Foundation
- Convert 4.25 km to metres.
- Find perimeter of a square side 8.5 cm.
- Find area of a trapezium with parallel sides 9 cm and 15 cm, height 6 cm.
- Find area of a circle radius 7 cm.
- Find volume of a cube side 6 cm.
Section B: Developing
- Find surface area of a cuboid 12 cm by 7 cm by 5 cm.
- Find capacity in litres of a tank 1.8 m by 1.2 m by 0.75 m.
- Find total surface area of a closed cylinder radius 3 cm, height 10 cm.
- A cone has volume 150π cm³ and radius 5 cm. Find height.
- A block has density 2.5 g/cm³ and volume 160 cm³. Find mass.
Section C: Exam Style
- A rectangle 20 m by 14 m contains a circular pond radius 4 m. Find remaining area.
- Two similar solids have surface areas 36 cm² and 225 cm². Find linear scale factor and volume ratio.
- A hollow cylinder has outer radius 8 cm, inner radius 5 cm and height 20 cm. Find volume of material.
- A cone of radius 9 cm and height 15 cm has a similar cone of radius 3 cm removed. Find frustum volume.
✅ Check Your Work
Show checkpoint answers
- 4250 m.
- 34 cm.
- 72 cm².
- 49π≈153.9 cm².
- 216 cm³.
- 2(84+60+35)=358 cm².
- 1.62 m³=1620 L.
- 2π(3)(10)+2π(9)=78π≈245.0 cm².
- 150π=⅓π×25×h → h=18 cm.
- 400 g.
- 280−16π≈229.7 m².
- Area factor=225/36=6.25, so linear factor=2.5; volume ratio=15.625:1.
- π(8²−5²)(20)=780π≈2450.4 cm³.
- Large=405π; small=15π; frustum=390π cm³.
Celebration Message
You can now measure, compare and calculate the boundaries, surfaces and spaces of real objects. Mensuration connects mathematics directly to building, design, engineering, packaging and everyday problem solving.
Revision Guidance and Readiness
- Attempt the questions without notes first.
- Use the answers or worked solutions to identify the exact step that needs attention.
- Return to the relevant lesson, then retry missed questions.
- You are ready to move on when you can explain your method and check your result independently.