Consecutive Numbers

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

Tea Cups

Place the 16 different combinations of cup/saucer in this 4 by 4 arrangement so that no row or column contains more than one cup or saucer of the same colour.

Counting on Letters

The letters of the word ABACUS have been arranged in the shape of a triangle. How many different ways can you find to read the word ABACUS from this triangular pattern?

Warmsnug Double Glazing

Stage: 3 Challenge Level:

Start by looking at the windows with only one pane.

Are there any windows that use the same amount of glass?
How do their frame lengths differ?
Are there any windows that use the same amount of frame?
How do their glass areas differ?

Click to reveal a handy table with the areas and frame lengths of all the windows:

 Length of frame Area Cost A 28 32 £880 B 16 15 £470 C 12 8 £320 D 20 16 £560 E 18 12 £550 F 12 9 £330 G 26 24 £760 H 8 3 £190 I 14 12 £400 J 8 4 £200 K 17 12 £460 L 23 20 £660 M 24 36 £840 N 20 24 £640 O 16 12 £440