Factors and multiples

problem
Multiple surprises

Age

11 to 16

Challenge level

Sequences of multiples keep cropping up...
problem
Robotic rotations

Age

11 to 16

Challenge level

How did the the rotation robot make these patterns?
problem
Funny factorisation

Age

11 to 16

Challenge level

Using the digits 1 to 9, the number 4396 can be written as the product of two numbers. Can you find the factors?
problem
Take three from five

Age

11 to 16

Challenge level

Caroline and James pick sets of five numbers. Charlie tries to find three that add together to make a multiple of three. Can they stop him?
problem
Product Sudoku

Age

11 to 16

Challenge level

The clues for this Sudoku are the product of the numbers in adjacent squares.
problem
Shopping basket

Age

11 to 16

Challenge level

The items in the shopping basket add and multiply to give the same amount. What could their prices be?
problem
Ben's game

Age

11 to 16

Challenge level

Ben, Jack and Emma passed counters to each other and ended with the same number of counters. How many did they start with?
problem
Substitution transposed

Age

11 to 16

Challenge level

Substitution and Transposition all in one! How fiendish can these codes get?
problem
What does it all add up to?

Age

11 to 18

Challenge level

If you take four consecutive numbers and add them together, the answer will always be even. What else do you notice?
problem
Different by one

Age

14 to 16

Challenge level

Can you make lines of Cuisenaire rods that differ by 1?