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Strange dice

11 to 14

If two of these unusually numbered dice are thrown, how many different sums are possible?

$What Could \It Be?$

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What could it be?

5 to 7

In this calculation, the box represents a missing digit. What could the digit be? What would the solution be in each case?

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Money bags

5 to 11

Ram divided 15 pennies among four small bags. He could then pay any sum of money from 1p to 15p without opening any bag. How many pennies did Ram put in each bag?

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Maths in the Victorian classroom

7 to 14

What was it like to learn maths at school in the Victorian period? We visited the British Schools Museum in Hitchin to find out.

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Excel investigation: Happy numbers

Take any whole number between 1 and 999, add the squares of the digits to get a new number. Use a spreadsheet to investigate this sequence.

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Month mania

5 to 11

Can you design a new shape for the twenty-eight squares and arrange the numbers in a logical way? What patterns do you notice?

problem

The great tiling count

7 to 11

Compare the numbers of particular tiles in one or all of these three designs, inspired by the floor tiles of a church in Cambridge.

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Cuisenaire squares

7 to 11

These squares have been made from Cuisenaire rods. Can you describe the pattern? What would the next square look like?

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Hubble, bubble

7 to 11

Winifred Wytsh bought a box each of jelly babies, milk jelly bears, yellow jelly bees and jelly belly beans. In how many different ways could she make a jolly jelly feast with 32 legs?

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What number?

5 to 7

I am less than 25. My ones digit is twice my tens digit. My digits add up to an even number.

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Strange dice

What could it be?

Money bags

Maths in the Victorian classroom

Excel investigation: Happy numbers

Month mania

The great tiling count

Cuisenaire squares

Hubble, bubble

What number?