Standard Units
Standard units fix the problem that body-based units create: they are the same for everyone, everywhere. Length in the metric system is built around the metre (m), the base SI unit - roughly the height from the floor to a door handle. From the metre we get larger and smaller units in neat powers of ten. The millimetre (mm) is the smallest taught at primary level, good for a coin's thickness or a pencil tip; 10 mm make 1 cm. The centimetre (cm) is the everyday workhorse for pencils, notebooks and the 15 cm school ruler; 100 cm make 1 m. The kilometre (km) handles long distances such as the gap between two towns; 1000 m make 1 km. The whole point of having several units is convenience - you would not give the distance from Delhi to Agra in centimetres, nor a pencil's length in kilometres. A large slice of the CTET marks here is simply about choosing the sensible unit for the job: mm and cm for small objects, m for a room or a person's height, km for distances between places. Teach this the concrete way - let children handle a metre rod, count the hundred centimetre marks on it, and find classroom objects that are 'about one metre' - so the units attach to real, physical reference points rather than staying as words in a table.
✅ Solved examples
✏️ Practice — try these, take hints as needed
📝 Topic test — 8 questions
Auto-graded with full solutions; saved to your dashboard. Use the calculator and formula sheet (top-right) any time.
Key Concepts — Quick Reference
Unit conversions (the metric ladder)
| km to m | 1 km = 1000 m |
|---|---|
| m to cm | 1 m = 100 cm |
| cm to mm | 1 cm = 10 mm |
| Larger to smaller | Multiply (km->m x1000, m->cm x100, cm->mm x10) |
| Smaller to larger | Divide (mm->cm /10, cm->m /100, m->km /1000) |
Perimeter formulas
| Rectangle | Perimeter = 2 x (length + breadth) = 2(l + b) |
|---|---|
| Square | Perimeter = 4 x side = 4a |
| Triangle | Perimeter = a + b + c (sum of three sides) |
| Equilateral triangle | Perimeter = 3 x side = 3a |
| Regular polygon | Perimeter = number of sides x length of one side = n x s |