Comparing and ordering numbers

problem
Favourite

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
Favourite

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.
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Favourite

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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Favourite

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
Favourite

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
Favourite

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.
problem
Favourite

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 ?
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Rachel's Problem

Age

14 to 16

Challenge level

3 out of 3

Is it true that $99^n$ has 2n digits and $999^n$ has 3n digits? Investigate!
problem

Fair Exchange

Age

5 to 7

Challenge level

1 out of 3

In your bank, you have three types of coins. The number of spots shows how much they are worth. Can you choose coins to exchange with the groups given to make the same total?
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Matching Numbers for Two

Age

5 to 7

Challenge level

1 out of 3

Matching Numbers game for an adult and child. Can you remember where the cards are so you can choose two which match?