Year 10 Interactive Maths - Second Edition

Problem Solving Unit

Problem 6.1  Diagonal

The following circle is centred at O and has a radius of 5 cm as represented by the line OP. The rectangle OABC is drawn within the circle.

a.  What is the length of the line AC?
b.  Explain how you obtained your answer.

Problem 6.2  A Small Boat

Two teachers and two students need to cross a canal. They have a small boat that can carry only one teacher or two students. What is the least number of trips required to take every one across?

Problem 6.3  Number of Triangles

How many triangles are there in each of the following figures?