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Imagine your calculator is broken. Although it will still display numbers, only the 4 key, + key, = key and clear key work. Starting at 0, can you get the calculator to display 1000? What’s the fastest way, with the fewest button presses?

Twenty years ago, my mum was twice my age. I’m 42 years old. How old is my mum?

Tomas is putting a number on a letterbox. He puts on one digit. Then he adds another digit. Tomas looks at it and notices that it makes a number exactly five times the first digit.

Kelly has a pet store. She recently got in a whole litter of puppies and tried to sell them all. On the first day, she sold half of the puppies, plus half a puppy.

I caught a bus the other day with a very interesting number. Can you work out the number on the bus?

I want to find a number that is divisible by three. I also want all of its digits to be 8s. Does my number exist?

Here’s a traditional card game that’s bound to get your brain pumping. Being able to add up will help, but there’s plenty more to puzzle over!

You probably know that half of 12 is six. But the other day, I caught a glimpse of a clock peeking between buildings. At that moment, I noticed that sometimes, half of 12 is seven. How is this possible?

When you multiply a whole number by itself, you get a square number. When you take three copies of a whole number and multiply them all together, you get a cube number. There’s only one two digit number that is both a square and a cube. Can you work out what number it is?

Jenny’s hard at work on a building site. This problem will tax her brain as well as her brawn!