# Functions and Graphs Stage 3 - Short Problems

### Bucket of Water

##### Stage: 2 and 3 Short Challenge Level:

Weekly Problem 2 - 2006
Lisa's bucket weighs 21 kg when full of water. After she pours out half the water it weighs 12 kg. What is the weight of the empty bucket?

### Graphical Triangle

##### Stage: 3 and 4 Short Challenge Level:

Weekly Problem 35 - 2007
What is the area of the triangle formed by these three lines?

### Circumference and Diameter

##### Stage: 3 and 4 Short Challenge Level:

Weekly Problem 15 - 2008
Which of these graphs could be the graph showing the circumference of a circle in terms of its diameter ?

### Paper Weight

##### Stage: 3 Short Challenge Level:

Weekly Problem 46 - 2008
How could you use this graph to work out the weight of a single sheet of paper?

### Straight Line Spin

##### Stage: 3 and 4 Short Challenge Level:

Weekly Problem 40 - 2014
Can you draw the graph of $y=x$ after it has been rotated $90$ degrees clockwise about $(1,1)$?