Factors and multiples

problem
Table patterns go wild!

Age

7 to 11

Challenge level

Nearly all of us have made table patterns on hundred squares, that is 10 by 10 grids. This problem looks at the patterns on differently sized square grids.
problem
Which numbers? (2)

Age

7 to 11

Challenge level

I am thinking of three sets of numbers less than 101. Can you find all the numbers in each set from these clues?
problem
Gran, how old are you?

Age

7 to 11

Challenge level

When Charlie asked his grandmother how old she is, he didn't get a straightforward reply! Can you work out how old she is?
problem
Light the lights again

Age

7 to 11

Challenge level

Each light in this interactivity turns on according to a rule. What happens when you enter different numbers? Can you work out the rule for each light?
problem
Factor track

Age

7 to 11

Challenge level

Factor track is not a race but a game of skill. The idea is to go round the track in as few moves as possible, keeping to the rules.
game

Ducking and dividing

Age

7 to 11

Challenge level

Your vessel, the Starship Diophantus, has become damaged in deep space. Can you use your knowledge of times tables and some lightning reflexes to survive?
problem
Divide it out

Age

7 to 11

Challenge level

What is the lowest number which always leaves a remainder of 1 when divided by each of the numbers from 2 to 10?
problem
Scoring with dice

Age

7 to 11

Challenge level

I throw three dice and get 5, 3 and 2. Add the scores on the three dice. What do you get? Now multiply the scores. What do you notice?
problem
Fitted

Age

7 to 11

Challenge level

Nine squares with side lengths 1, 4, 7, 8, 9, 10, 14, 15, and 18 cm can be fitted together to form a rectangle. What are the dimensions of the rectangle?
problem
Money measure

Age

7 to 11

Challenge level

How can you use just one weighing to find out which box contains the lighter ten coins out of the ten boxes?