Functions and Graphs Stage 3 - Short Problems

A collection of short Stage 3 and 4 problems on straight line graphs



Bucket of Water

Stage: 2 and 3 Short Challenge Level: Challenge Level:1

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: Challenge Level:1

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: Challenge Level:1

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: Challenge Level:1

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: Challenge Level:1

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