### Squaring the Circle

Bluey-green, white and transparent squares with a few odd bits of shapes around the perimeter. But, how many squares are there of each type in the complete circle? Study the picture and make an estimate.

### Sissa's Reward

According to an old Indian myth, Sissa ben Dahir was a courtier for a king. The king decided to reward Sissa for his dedication and Sissa asked for one grain of rice to be put on the first square of his chessboard, two on the second square, four on the third square, eight on the fourth and so on. How many grains of rice would there be on the 8th square? How many grains would you need altogether in order to fill up to the 15th square? Estimate how many grains you would need in total to fill the entire board in this way. Explain your thinking.

### Weekly Problem 22 - 2012

Weekly Problem 22 - 2012

# Whole Numbers Only

##### Stage: 3 Challenge Level:

A student bought 17 pencils for £1.44. He paid 2 pence more for each coloured pencil than for each plain pencil. How many of each kind did he buy at what price?