Map scales
The Maths Habit
This map is a small drawing of a real island.
Which is further from the harbour: the lighthouse or the castle?
It is further on the map, so it is further on the real island.
- Map
- A small drawing of a real place, seen from above.
- Scale
- Tells you the real distance that 1 cm on the map stands for.
- Represents
- Stands for.
What do you multiply by?
- 1Write the scale.1 cm on the map, and the real distance it stands for.
- 2Write what you know.The map distance goes under Map.
- 3Multiply both by the same.1 times what makes the map distance? Multiply the scale by it too.
On a map, 1 cm represents 4 km.Two villages are 6 cm apart on the map.Work out the real distance.
On a map, 1 cm represents 5 km.A lake is 4 cm long on the map.Work out the real length.
On a map, 1 cm represents 4 km.Two villages are 6 cm apart on the map.Work out the real distance.
On a map, 1 cm represents 10 km.A road is 3 cm long on the map.Work out the real length.
On a map, 1 cm represents 4 km.Two villages are 6 cm apart on the map.Work out the real distance.
On a plan, 1 cm represents 2 m.A hall is 8 cm long on the plan.Work out the real length.
On a map, 1 cm represents 4 km.Two villages are 6 cm apart on the map.Work out the real distance.
On a map, 1 cm represents 3 km.Two farms are 5 cm apart on the map.Work out the real distance.
1On a map, 1 cm represents 5 km.A river is 6 cm long on the map.Work out the real length.
2On a map, 1 cm represents 4 km.Two shops are 3 cm apart on the map.Work out the real distance.
3On a plan, 1 cm represents 10 m.A garden is 7 cm long on the plan.Work out the real length.
4On a map, 1 cm represents 2 km.A canal is 9 cm long on the map.Work out the real length.
What do you multiply by?
- 1Write the scale.1 cm on the map, and the real distance it stands for.
- 2Write what you know.The real distance goes under Real.
- 3Multiply both by the same.The scale times what makes the real distance? Multiply 1 by it too.
On a map, 1 cm represents 5 km.Two towns are 40 km apart.Work out the distance on the map.
On a map, 1 cm represents 2 km.A lake is 10 km long.Work out its length on the map.
On a map, 1 cm represents 5 km.Two towns are 40 km apart.Work out the distance on the map.
On a map, 1 cm represents 10 km.A road is 70 km long.Work out its length on the map.
On a map, 1 cm represents 5 km.Two towns are 40 km apart.Work out the distance on the map.
On a map, 1 cm represents 4 km.Two beaches are 12 km apart.Work out the distance on the map.
On a map, 1 cm represents 5 km.Two towns are 40 km apart.Work out the distance on the map.
On a plan, 1 cm represents 5 m.A pool is 30 m long.Work out its length on the plan.
Answer sheet
Is it right?
Thumbs up: right. Thumbs down: wrong.
1 cm represents 5 km, so 4 cm represents 20 km
Right1 cm represents 2 km, so 6 cm represents 8 km
Wrong: multiply, do not add1 cm represents 10 km, so 50 km is 5 cm on the map
Right1 cm represents 5 km, so 15 km is 75 cm on the map
Wrong: it is 3 cm1 cm represents 3 m, so 7 cm represents 21 m
Right
On a map, 1 cm represents 4 km. A river is 3.5 cm long on the map. How long is the real river?
14 kmOn a map, 2 cm represents 5 km. Two towns are 8 cm apart on the map. How far apart are they really?
20 kmOn a plan, 1 cm represents 50 cm. A desk is 3 cm long on the plan. How long is the real desk in metres?
1.5 m
1 cm represents 5 km. A lake is 7 cm long on the map. Find its real length.
35 km1 cm represents 2 km. A road is 16 km long. How long is it on the map?
8 cm1 cm represents 3 m. A hall is 9 cm long on the plan. How long is the real hall?
27 m