In this problem it is not the squares that jump, you do the jumping! The idea is to go round the track in as few jumps as possible.

This challenge is about finding the difference between numbers which have the same tens digit.

Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.

Frances and Rishi were given a bag of lollies. They shared them out evenly and had one left over. How many lollies could there have been in the bag?

Can you work out how to balance this equaliser? You can put more than one weight on a hook.

Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?

What could the half time scores have been in these Olympic hockey matches?

In how many ways could Mrs Beeswax put ten coins into her three puddings so that each pudding ended up with at least two coins?

What two-digit numbers can you make with these two dice? What can't you make?

Start with three pairs of socks. Now mix them up so that no mismatched pair is the same as another mismatched pair. Is there more than one way to do it?

How many different triangles can you draw on the dotty grid which each have one dot in the middle?

If you put three beads onto a tens/ones abacus you could make the numbers 3, 30, 12 or 21. What numbers can be made with six beads?

Using the cards 2, 4, 6, 8, +, - and =, what number statements can you make?

Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.

How many different ways can you find to join three equilateral triangles together? Can you convince us that you have found them all?

If you hang two weights on one side of this balance, in how many different ways can you hang three weights on the other side for it to be balanced?

My cube has inky marks on each face. Can you find the route it has taken? What does each face look like?

In this maze of hexagons, you start in the centre at 0. The next hexagon must be a multiple of 2 and the next a multiple of 5. What are the possible paths you could take?

Ben and his mum are planting garlic. Use the interactivity to help you find out how many cloves of garlic they might have had.

My coat has three buttons. How many ways can you find to do up all the buttons?

In Sam and Jill's garden there are two sorts of ladybirds with 7 spots or 4 spots. What numbers of total spots can you make?

Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?

Two children made up a game as they walked along the garden paths. Can you find out their scores? Can you find some paths of your own?

Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.

These activities lend themselves to systematic working in the sense that it helps to have an ordered approach.

Find all the numbers that can be made by adding the dots on two dice.

El Crico the cricket has to cross a square patio to get home. He can jump the length of one tile, two tiles and three tiles. Can you find a path that would get El Crico home in three jumps?

This multiplication uses each of the digits 0 - 9 once and once only. Using the information given, can you replace the stars in the calculation with figures?

Suppose we allow ourselves to use three numbers less than 10 and multiply them together. How many different products can you find? How do you know you've got them all?

Move from the START to the FINISH by moving across or down to the next square. Can you find a route to make these totals?

Use these head, body and leg pieces to make Robot Monsters which are different heights.

The idea of this game is to add or subtract the two numbers on the dice and cover the result on the grid, trying to get a line of three. Are there some numbers that are good to aim for?

The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?

Moira is late for school. What is the shortest route she can take from the school gates to the entrance?

What do you notice about the date 03.06.09? Or 08.01.09? This challenge invites you to investigate some interesting dates yourself.

Tim had nine cards each with a different number from 1 to 9 on it. How could he have put them into three piles so that the total in each pile was 15?

Can you find out in which order the children are standing in this line?

How could you put these three beads into bags? How many different ways can you do it? How could you record what you've done?

Use the information to describe these marbles. What colours must be on marbles that sparkle when rolling but are dark inside?

In a square in which the houses are evenly spaced, numbers 3 and 10 are opposite each other. What is the smallest and what is the largest possible number of houses in the square?

Can you replace the letters with numbers? Is there only one solution in each case?

Exactly 195 digits have been used to number the pages in a book. How many pages does the book have?

Place the numbers 1 to 8 in the circles so that no consecutive numbers are joined by a line.

Lorenzie was packing his bag for a school trip. He packed four shirts and three pairs of pants. "I will be able to have a different outfit each day", he said. How many days will Lorenzie be away?

This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?

If you split the square into these two pieces, it is possible to fit the pieces together again to make a new shape. How many new shapes can you make?

These eleven shapes each stand for a different number. Can you use the multiplication sums to work out what they are?