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Try continuing these patterns made from triangles. Can you create your own repeating pattern?

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Daisy and Akram were making number patterns. Daisy was using beads that looked like flowers and Akram was using cube bricks. First they were counting in twos.

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Create a pattern on the small grid. How could you extend your pattern on the larger grid?

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Make a chair and table out of interlocking cubes, making sure that the chair fits under the table!

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In this town, houses are built with one room for each person. There are some families of seven people living in the town. In how many different ways can they build their houses?

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These caterpillars have 16 parts. What different shapes do they make if each part lies in the small squares of a 4 by 4 square?

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Can you work out the domino pieces which would go in the middle in each case to complete the pattern of these eight sets of three dominoes?

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Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.

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Here are some arrangements of circles. How many circles would I need to make the next size up for each? Can you create your own arrangement and investigate the number of circles it needs?

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In how many different ways can you break up a stick of seven interlocking cubes? Now try with a stick of eight cubes and a stick of six cubes. What do you notice?

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How many rectangles can you see? Are they all the same size? Can you predict how many rectangles there will be in counting sticks of different lengths?

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This challenge involves eight three-cube models made from interlocking cubes. Investigate different ways of putting the models together then compare your constructions.

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Investigate what happens when you add house numbers along a street in different ways.

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A hundred square has been printed on both sides of a piece of paper. What is on the back of 100? 58? 23? 19?

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How many possible symmetrical necklaces can you find? How do you know you've found them all?