Exploring and noticing
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problemHow many ways can you find of tiling the square patio, using square tiles of different sizes? -
problemMagazines
Let's suppose that you are going to have a magazine which has 16 pages of A5 size. Can you find some different ways to make these pages? Investigate the pattern for each if you number the pages.
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problemPebbles
Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?
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problemMy New Patio
What is the smallest number of tiles needed to tile this patio? Can you investigate patios of different sizes?
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problemPresents
We need to wrap up this cube-shaped present, remembering that we can have no overlaps. What shapes can you find to use? -
problemBean Bags for Bernard's Bag
How could you put eight bean bags in the hoops so that there are four in the blue hoop, five in the red and six in the yellow? Can you find all the ways of doing this?
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problemSpecial 24
Find another number that is one short of a square number and when you double it and add 1, the result is also a square number. -
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problemArranging the Tables
There are 44 people coming to a dinner party. There are 15 square tables that seat 4 people. Find a way to seat the 44 people using all 15 tables, with no empty places. -
problemPizza Cut
Using only six straight cuts, find a way to make as many pieces of pizza as possible. (The pieces can be different sizes and shapes).