Problem solving - weeks 1-2 1. Show all possible towers three cubes high using Red and Yellow cubes. Use diagrams and words to explain how you know you have found all possible solutions. 2. Jim rides an exercise bike for 30 minutes a session. He warms up for 6 minutes. Then, starting at the 6-minute mark, he sprints for 45 seconds, rides slowly for the next minute, and then sprints again. This interval training continues until the 30-minute mark. 1. How many full 45 second sprints does he do? 2. Clearly explain which strategy/ies you used to solve this. Whole numbers and number properties - week 3 3. Use a factor tree to show the prime factorisation of the following numbers: a. 126 b. 810. C. 1080 4. a) Write down the first 10 square numbers. Explain, using a diagram, why they are called square numbers. b) Write down the first 10 triangular numbers. Explain, using a diagram, why they are called triangular numbers. 5. Draw area models to show the difference between (3 + 4)? and 33+ 43. 6. Draw area models to represent the following equations: a) 4+9x 2 = 22 b) (4+9) x 2 = 26