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Consecutive Numbers

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

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Negative Dice

If the odd numbers on two dice are made negative, which of the totals cannot be achieved?

Strange Bank Account (part 2)

Age 11 to 14
Challenge Level
Here is a table showing some ways of obtaining a £5 increase:

Deposits $(+ £2)$ Withdrawals $(- £3)$ Calculation Outcome
... ... ... ...
$4$ $1$ $4 \times (+ £2) + 1 \times (- £3)$ $+ £5$
$7$ $3$ $7 \times (+ £2) + 3 \times (- £3)$ $+ £5$
$10$ $5$ $10 \times (+ £2) + 5 \times (- £3)$ $+ £5$
... ... ... ...

Can you continue the table in each direction?