Protected: 9-10 Challenge 06

A radio show has a spinning wheel segment. There are 15 segments on the wheel, and if the number one comes up the major prize is won. How many spins, on average, occur before someone wins a car. (Hint: You may want to work as a team and simulate several different...

Protected: 9-10 Challenge 05

Ivas hires out a small car for $68 per day plus 32 cents per km travelled. Bidget hires out the same car for $101 per day with unlimited kilometers. How far would you have to drive in one day for the Bidget offer to be the cheaper option? Who is the cheaper option to...

Protected: 9-10 Challenge 04

A pencil box is 25cm long, 10cm wide and 8cm deep. What is the length of the longest pencil, lying flat, that will fit in the box? What is the length of the longest pencil that will fit entirely in the box? (Hint: Pythagoras’ is your friend...

Protected: 9-10 Challenge 03

A hamburger stall is to be set up at the school fete. A group of students is responsible for organising it. After a bit of research it is calculated that the cost to set it up will be $82. Some ingredients have been donated, the cost of producing each hamburger is 35...

Protected: 9-10 Challenge 02

Each concentric circle’s radius increases by a distance equal to the diameter of the inner circle, 4cm. Work out how much area each of the different colours have on the...

Protected: 9-10 Challenge 01

A car yard contains only motorbikes and four wheel drive vehicles. There are 53 vehicles altogether and a total of 176 wheels. How many motor bikes are there in the yard?
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