Factors and multiples

Can you work out what step size to take to ensure you visit all the dots on the circle?

There are ten children in Becky's group. Can you find a set of numbers for each of them? Are there any other sets?

Can you place the numbers from 1 to 10 in the grid?

Arrange any number of counters from these 18 on the grid to make a rectangle. What numbers of counters make rectangles? How many different rectangles can you make with each number of counters?

How many leap years will there be between 2001 and 3001?

Each letter represents a different positive digit AHHAAH / JOKE = HA What are the values of each of the letters?

How can you use just one weighing to find out which box contains the lighter ten coins out of the ten boxes?

Can you find a cuboid that has a surface area of exactly 100 square units. Is there more than one? Can you find them all?

Ben, Jack and Emma passed counters to each other and ended with the same number of counters. How many did they start with?

When if ever do you get the right answer if you add two fractions by adding the numerators and adding the denominators?