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.
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?
Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.
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?
This challenge is about finding the difference between numbers which have the same tens digit.
Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?
Ben and his mum are planting garlic. Use the interactivity to help you find out how many cloves of garlic they might have had.
What two-digit numbers can you make with these two dice? What can't you make?
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?
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?
Can you work out how to balance this equaliser? You can put more than one weight on a hook.
There are to be 6 homes built on a new development site. They could be semi-detached, detached or terraced houses. How many different combinations of these can you find?
What could the half time scores have been in these Olympic hockey matches?
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?
Exactly 195 digits have been used to number the pages in a book. How many pages does the book have?
Try this matching game which will help you recognise different ways of saying the same time interval.
Can you put the numbers from 1 to 15 on the circles so that no consecutive numbers lie anywhere along a continuous straight line?
A magician took a suit of thirteen cards and held them in his hand face down. Every card he revealed had the same value as the one he had just finished spelling. How did this work?
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?
Place the numbers 1 to 8 in the circles so that no consecutive numbers are joined by a line.
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?
Use these head, body and leg pieces to make Robot Monsters which are different heights.
Using the cards 2, 4, 6, 8, +, - and =, what number statements can you make?
In your bank, you have three types of coins. The number of spots shows how much they are worth. Can you choose coins to exchange with the groups given to make the same total?
How many different triangles can you draw on the dotty grid which each have one dot in the middle?
How many trains can you make which are the same length as Matt's, using rods that are identical?
Place this "worm" on the 100 square and find the total of the four squares it covers. Keeping its head in the same place, what other totals can you make?
Can you make a train the same length as Laura's but using three differently coloured rods? Is there only one way of doing it?
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?
Find your way through the grid starting at 2 and following these operations. What number do you end on?
Use the numbers and symbols to make this number sentence correct. How many different ways can you find?
Place the numbers 1 to 6 in the circles so that each number is the difference between the two numbers just below it.
This activity focuses on rounding to the nearest 10.
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?
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?
Arrange eight of the numbers between 1 and 9 in the Polo Square below so that each side adds to the same total.
There is a long tradition of creating mazes throughout history and across the world. This article gives details of mazes you can visit and those that you can tackle on paper.
Can you find all the different ways of lining up these Cuisenaire rods?
Look carefully at the numbers. What do you notice? Can you make another square using the numbers 1 to 16, that displays the same properties?
Number problems at primary level that require careful consideration.
A dog is looking for a good place to bury his bone. Can you work out where he started and ended in each case? What possible routes could he have taken?
Zumf makes spectacles for the residents of the planet Zargon, who have either 3 eyes or 4 eyes. How many lenses will Zumf need to make all the different orders for 9 families?
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
This practical challenge invites you to investigate the different squares you can make on a square geoboard or pegboard.
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?
Find out about Magic Squares in this article written for students. Why are they magic?!
This task, written for the National Young Mathematicians' Award 2016, focuses on 'open squares'. What would the next five open squares look like?
How can you put five cereal packets together to make different shapes if you must put them face-to-face?
How many different triangles can you make on a circular pegboard that has nine pegs?
How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?