Place value

problem

Just Repeat

Age

11 to 14

Challenge level

3 out of 3

Think of any three-digit number. Repeat the digits. The 6-digit number that you end up with is divisible by 91. Is this a coincidence?
problem

Three Times Seven

Age

11 to 14

Challenge level

3 out of 3

A three digit number abc is always divisible by 7 when 2a+3b+c is divisible by 7. Why?
problem

Two Spinners

Age

5 to 7

Challenge level

1 out of 3

What two-digit numbers can you make with these two dice? What can't you make?
problem

What Number?

Age

5 to 7

Challenge level

2 out of 3

I am less than 25. My ones digit is twice my tens digit. My digits add up to an even number.
problem

One of Thirty-Six

Age

5 to 7

Challenge level

2 out of 3

Can you find the chosen number from the grid using the clues?
problem

The Thousands Game

Age

7 to 11

Challenge level

1 out of 3

Each child in Class 3 took four numbers out of the bag. Who had made the highest even number?
game

Dicey Operations in Line for Two

Age

7 to 11

Challenge level

1 out of 3

Dicey Operations for an adult and child. Can you get close to 1000 than your partner?
game

Calculator Bingo

Age

7 to 11

Challenge level

2 out of 3

This is a game for two players. What must you subtract to remove the rolled digit from your number? The first to zero wins!
problem

Six Is the Sum

Age

7 to 11

Challenge level

2 out of 3

What do the digits in the number fifteen add up to? How many other numbers have digits with the same total but no zeros?
problem

Alien Counting

Age

7 to 11

Challenge level

2 out of 3

Investigate the different ways these aliens count in this challenge. You could start by thinking about how each of them would write our number 7.