Question 1

H\Mike wants to buy his sister a $22 CD for her birthday and his Mum had agreed to help him if he helps around the house. He is allowed to have any 10 cent, 20 cent or 50 cent coins that he can find in Mum's purse, but only after he has done 10 minutes of housework. Last Thursday he counted his coins again.

"I'm only $3.50 short now" he said to Mum. "And look, I've got twice as many 50s as 10s and three times as many 50s as 20s."

"That's excellent, " said Mum, "and the house is shining like a new pin!"

How many of each type of coin has Mike managed to save?

Question 2

How to make a Glooder

A glooder is a glider made with two rings of card and a drinking straw. The rings are made by taping a thin rectangle into a cylinder and leaving a small gap into which a straw is glued. There is one ring at either end of the straw.

The rings should be 4cm wide for the large ring and 3cm wide for the small ring, but we would like you to suggest a suitable ring diameter for the large and small rings.

Questions

1. Should you launch the glooder with the smaller ring at the front or at the back?
2. How large should the ring diameters be for best flight results?
3. Can you think of a better name for this amazing flying machine?

Question 3

The numbers 1 - 12 can be arranged in a number of ways on this star to make the totals along each line equal to 26.

Part 1
Find two such arrangements and explain how you found them.

Part 2
If you have time ... there are a few ways of completing the star in which the numbers round the outside also add to 26. See if you can find one of them.

Suggestion: Start with part of the star - a triangle with four circles along each side. Place 12 at a corner of the triangle and look for different ways of making the numbers on the sides with a 12 in them add to 26. Next, look for ways of making the third side of the triangle add to 26. Finally, find a way of placing the remaining 3 numbers to complete the star.