Length/distance

Investigate the different distances of these car journeys and find out how long they take.

Alice's mum needs to go to each child's house just once and then back home again. How many different routes are there? Use the information to find out how long each road is on the route she took.

From the information you are asked to work out where the picture was taken. Is there too much information? How accurate can your answer be?

Weekly Problem 48 - 2008
An ant is crawling in a straight line when he bumps into a one centimetre cube of sugar.If he climbs over it before before continuing on his intended route, how much does the detour add to the length of his journey?

N people visit their friends staying N kilometres along the coast. Some walk along the cliff path at N km an hour, the rest go by car. How long is the road?

How can the school caretaker be sure that the tree would miss the school buildings if it fell?

Can you choose your units so that a cube has the same numerical value for it volume, surface area and total edge length?

Can you prove that the sum of the distances of any point inside a square from its sides is always equal (half the perimeter)? Can you prove it to be true for a rectangle or a hexagon?

Four vehicles travel along a road one afternoon. Can you make sense of the graphs showing their motion?

Investigate how this pattern of squares continues. You could measure lengths, areas and angles.