June 2003, Stage 1&2

Problems

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Tricky Track

Stage: 2 Challenge Level: Challenge Level:1

In this game you throw two dice and find their total, then move the appropriate counter to the right. Which counter reaches the purple box first? Is this what you would expect?

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Graphing Number Patterns

Stage: 2 Challenge Level: Challenge Level:1

Does a graph of the triangular numbers cross a graph of the six times table? If so, where? Will a graph of the square numbers cross the times table too?

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The Pet Graph

Stage: 2 Challenge Level: Challenge Level:1

Tim's class collected data about all their pets. Can you put the animal names under each column in the block graph using the information?

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Hoops/rope

Stage: 2 Challenge Level: Challenge Level:1

Ideas for practical ways of representing data such as Venn and Carroll diagrams.

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Sealed Solution

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

Ten cards are put into five envelopes so that there are two cards in each envelope. The sum of the numbers inside it is written on each envelope. What numbers could be inside the envelopes?

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Same or Different?

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

Anna and Becky put one purple cube and two yellow cubes into a bag to play a game. Is the game fair? Explain your answer.

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Sets of Numbers

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

How many different sets of numbers with at least four members can you find in the numbers in this box?