Multiplication and division

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

Start by putting one million (1 000 000) into the display of your calculator. Can you reduce this to 7 using just the 7 key and add, subtract, multiply, divide and equals as many times as you like?

Investigate the different ways that fifteen schools could have given money in a charity fundraiser.

Can you use the clues to complete these 3 by 3 Mathematical Sudokus?

Skippy and Anna are locked in a room in a large castle. The key to that room, and all the other rooms, is a number. The numbers are locked away in a problem. Can you help them to get out?

How many were going to St Ives?

How will you decide which way of flipping over and/or turning the grid will give you the highest total?

Can you use the clues to complete these 6 by 6 Mathematical Sudokus?

Make a set of numbers that use all the digits from 1 to 9, once and once only. Add them up. The result is divisible by 9. Add each of the digits in the new number. What is their sum? Now try some other possibilities for yourself!

What is the largest number you can make using the three digits 2, 3 and 4 in any way you like, using any operations you like? You can only use each digit once.