Ups and Downs Math Challenge

No solutions were handed in for this challenge, so you have another chance at it!

Graham rides his bike to school. He takes a different route home. On the way to school he rides up a hill for 500 metres, then he rides on a flat section for 3 kilometres, and then he rides downhill for 1 kilometre. On his way home he rides on a flat section for 250 metres, then he rides uphill for 750 metres, followed by another flat section for 2 kilometres, then downhill for 2 kilometres, and finally on a flat section for 500 metres. 


How far does Graham ride to and from school every day? 

EXTRA CHALLENGE: What fraction of the total distance travelled in one day is Graham riding downhill? 

Show and explain your math thinking. Your solution is due on Monday.

Froggy Problem

Captain Salamander has three pets frogs named Doris, Boris and Morris. He needs to weigh them to check if they are healthy. However, the frogs will only be weighed two at a time.

• Doris and Boris weigh 12 grams altogether.
• Boris and Morris weigh 16 grams altogether.
• Doris and Morris weigh 14 grams altogether.

How much does each frog weigh?

Show your math thinking along with your solution.

Capacity Math Challenge

There is a pitcher with 1.5 L of fruit punch. If each paper cup can hold 300ml of punch, how many cups can the pitcher fill up?

Be sure to show all your math thinking. Your solution is due on Monday.