Problem 1 Can you work out the answer to this number pattern and explain why you think you have the correct answer? You probably observed that the sum is the square of the middle number. Can you work out why? Why do you have a square number for the sum? Solution 1 Solution 2 Solution
Problem 1 Show that the area of a trapezoid (trapezium) is half its height times the sum of the parallel sides. Solution Cut the trapezoid along the midpoints of the pair of non-parallel side. This halves its height. Rotate one of the parts 180 degrees about a midpoint. In the figure below, it’s about the
Problem: Prove that the equation below is an identity: 2 sin2? – sin4? = (1 – cos2?)(1 + cos2?). Solution To prove that an equation is an identity, one must show that the Left Hand Side (LHS) of the equation is identical to its Right Hand Side (RHS). That is, LHS ? RHS. Proof LHS: 2 sin2?