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Terry is inspecting a huge clock. It’s 2:12 and they just finished examining the big hand. They need to check the little hand next, but they want it pointing in exactly the same direction that the big hand is pointing now. How long will they need to wait until the little hand is pointing that…

Four mathematicians – Annie, Beth, Carol and Donna – have a fun tradition. Every Friday, they order a pizza. But before they can eat, they must each solve a puzzle.

Which two whole numbers – without any zeros – multiply together to make 1 000 000?

Maryam had been practising the times tables really hard, so she was on the alert for interesting patterns. On her dad’s birthday she noticed something special. “You’re four times older than me, Dad,” she exclaimed. Four years later, she was counting the candles on her Dad’s birthday cake when she realised something mathematical. “You’re three…

Way back in 2006, an unusual anime began airing on Japanese television. Although the series was about aliens, time travel and other supernatural events, no one could have predicted the strange effects that The Melancholy of Haruhi Suzumia would have on the world of mathematics.

What’s the next letter in this sequence? F, S, T, F, F, S, S, E …

Tilly started writing down numbers as she counted them out, “1, 2, 3, 4 …” She was interrupted when she was writing down the 33rd 3. What number was she in the middle of writing?

If you’re sitting there twiddling your thumbs, see if you can decode this message. If you need a hint, you can always phone a friend! 3666882255533 443355544499 339987772

I have four different whole numbers written on a piece of paper. The largest number is four bigger than the smallest. The middle two numbers are even. If I add all four numbers together, I get 12. What are my numbers?

At half-past three, what is the angle between the hands of a clock? Scroll down for the answer!     Brainteaser answer First, a quick estimate. The short hand points across to the three, and the long hand points straight down to the 6. The angle is about 90 degrees, but there’s a more accurate…