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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.

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?

Jenny had a short, wide fish tank. She wanted to change the water, so she put the fish tank on a table and put a tall bucket on the floor right underneath. She was about to get a hose and siphon the water into the bucket, but before she started, she did some measuring.

Tom’s just finished sewing a quilt! It’s made of lots of equal-sized squares of fabric sewn together. Currently, it’s 12 squares long and six squares wide. Tom tried putting the quilt on his bed, but it’s the wrong shape.