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Consecutive Numbers

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

Roll These Dice

Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possible answers?

Domino Square

Use the 'double-3 down' dominoes to make a square so that each side has eight dots.

A Mixed-up Clock

Age 7 to 11
Challenge Level

There is a clock-face where the numbers have become all mixed up. Can you find out where all the numbers have got to from the ten statements below?

Here is a clock-face with letters to mark the position of the numbers so that the statements are easier to read and to follow.

clock face.
  1. No even number is between two odd numbers.
  2. No consecutive numbers are next to each other.
  3. The numbers on the vertical axis (a) and (g) add to $13$.
  4. The numbers on the horizontal axis (d) and (j) also add to $13$.
  5. The first set of $6$ numbers [(a) - (f)] add to the same total as the second set of $6$ numbers [(g) - (l)] .
  6. The number at position (f) is in the correct position on the clock-face.
  7. The number at position (d) is double the number at position (h).
  8. There is a difference of $6$ between the number at position (g) and the number preceding it (f).
  9. The number at position (l) is twice the top number (a), one third of the number at position (d) and half of the number at position (e).
  10. The number at position (d) is $4$ times one of the numbers adjacent (next) to it.