Working systematically

problem
Alphabetical angle

Age

14 to 16

Challenge level

If all the arrangements of the letters in the word ANGLE are written down in alphabetical order, what position does the word ANGLE occupy?
problem
Staircase sum

Age

11 to 14

Challenge level

The digits 1-9 have been written in the squares so that each row and column sums to 13. What is the value of n?
problem
Mini-Sudoku

Age

11 to 14

Challenge level

How many ways are there of completing the mini-sudoku?
problem
Adjacent additions

Age

14 to 16

Challenge level

In a 7-digit numerical code, each group of four consecutive digits adds to 16, and each group of five consecutive digits adds to 19. What is the sum of all 7 digits?
problem
Relative time

Age

14 to 16

Challenge level

Albert Einstein is experimenting with two unusual clocks. At what time do they next agree?
game

Daisy

Age

7 to 11

Challenge level

In this game for two players, take it in turns to shade one petal, or two petals next to each other. Is it better to go first or second?
problem
How much did it cost?

Age

7 to 11

Challenge level

Use your logical thinking skills to deduce how much Dan's crisps and ice cream cost altogether.
problem
Domino sets

Age

7 to 11

Challenge level

How do you know if your set of dominoes is complete?
problem
Dice in a corner

Age

7 to 11

Challenge level

How could you arrange at least two dice in a stack so that the total of the visible spots is 18?
problem
Polydron

Age

7 to 11

Challenge level

This activity investigates how you might make squares and pentominoes from Polydron.