What two-digit numbers can you make with these two dice? What can't you make?
Find all the numbers that can be made by adding the dots on two dice.
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?
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.
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?
This challenge is about finding the difference between numbers which have the same tens digit.
Arrange the digits 1, 1, 2, 2, 3 and 3 so that between the two 1's there is one digit, between the two 2's there are two digits, and between the two 3's there are three digits.
Find your way through the grid starting at 2 and following these operations. What number do you end on?
What could the half time scores have been in these Olympic hockey matches?
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.
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?
Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?
Number problems at primary level that require careful consideration.
Place the numbers 1 to 6 in the circles so that each number is the difference between the two numbers just below it.
There were chews for 2p, mini eggs for 3p, Chocko bars for 5p and lollypops for 7p in the sweet shop. What could each of the children buy with their money?
Use these head, body and leg pieces to make Robot Monsters which are different heights.
This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?
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?
What do the digits in the number fifteen add up to? How many other numbers have digits with the same total but no zeros?
Using the cards 2, 4, 6, 8, +, - and =, what number statements can you make?
How could you put eight beanbags in the hoops so that there are four in the blue hoop, five in the red and six in the yellow? Can you find all the ways of doing this?
Kate has eight multilink cubes. She has two red ones, two yellow, two green and two blue. She wants to fit them together to make a cube so that each colour shows on each face just once.
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?
Can you substitute numbers for the letters in these sums?
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?
This activity focuses on rounding to the nearest 10.
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?
Use your logical-thinking skills to deduce how much Dan's crisps and ice-cream cost altogether.
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?
Use the clues to find out who's who in the family, to fill in the family tree and to find out which of the family members are mathematicians and which are not.
60 pieces and a challenge. What can you make and how many of the pieces can you use creating skeleton polyhedra?
Here are four cubes joined together. How many other arrangements of four cubes can you find? Can you draw them on dotty paper?
This problem is based on the story of the Pied Piper of Hamelin. Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!
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?
Ten cards are put into five envelopes so that there are two cards in each envelope. The sum of the numbers inside it is written on each envelope. What numbers could be inside the envelopes?
Can you make square numbers by adding two prime numbers together?
Arrange eight of the numbers between 1 and 9 in the Polo Square below so that each side adds to the same total.
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?
Can you put plus signs in so this is true? 1 2 3 4 5 6 7 8 9 = 99 How many ways can you do it?
Add the sum of the squares of four numbers between 10 and 20 to the sum of the squares of three numbers less than 6 to make the square of another, larger, number.
This problem is based on a code using two different prime numbers less than 10. You'll need to multiply them together and shift the alphabet forwards by the result. Can you decipher the code?
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?
Ram divided 15 pennies among four small bags. He could then pay any sum of money from 1p to 15p without opening any bag. How many pennies did Ram put in each bag?
In this town, houses are built with one room for each person. There are some families of seven people living in the town. In how many different ways can they build their houses?
This magic square has operations written in it, to make it into a maze. Start wherever you like, go through every cell and go out a total of 15!
Lolla bought a balloon at the circus. She gave the clown six coins to pay for it. What could Lolla have paid for the balloon?
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?
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?
These are the faces of Will, Lil, Bill, Phil and Jill. Use the clues to work out which name goes with each face.