Comparing and ordering numbers

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Now and Then

Age

7 to 11

Challenge level

2 out of 3

Have a look at the results for some events at past Olympic Games. Can you use these to predict the results at the next Olympics?
game
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Dicey Operations

Age

7 to 14

Challenge level

1 out of 3

In these addition and subtraction games, you'll need to think strategically to get closest to the target.
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Less Is More

Age

7 to 14

Challenge level

1 out of 3

Use your knowledge of place value to try to win this game. How will you maximise your score?
game
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More Dicey Operations

Age

7 to 14

Challenge level

1 out of 3

In these multiplication and division games, you'll need to think strategically to get closest to the target.
problem
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Number Lines in Disguise

Age

7 to 14

Challenge level

2 out of 3

Some of the numbers have fallen off Becky's number line. Can you figure out what they were?
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Diagonal Sums

Age

7 to 14

Challenge level

2 out of 3

In this 100 square, look at the green square which contains the numbers 2, 3, 12 and 13. What is the sum of the numbers that are diagonally opposite each other? What do you notice?
problem
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Consecutive Seven

Age

11 to 14

Challenge level

1 out of 3

Can you arrange these numbers into 7 subsets, each of three numbers, so that when the numbers in each are added together, they make seven consecutive numbers?
problem
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Mathland Election

Age

11 to 14

Challenge level

2 out of 3

A political commentator summed up an election result. Given that there were just four candidates and that the figures quoted were exact find the number of votes polled for each candidate.
problem
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Farey Sequences

Age

11 to 14

Challenge level

2 out of 3

There are lots of ideas to explore in these sequences of ordered fractions.
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Giants

Age

16 to 18

Challenge level

2 out of 3

Which is the bigger, 9^10 or 10^9 ? Which is the bigger, 99^100 or 100^99 ?