Filter by: Content type: ALL Problems Articles Games Stage: All Stage 1&2 Stage 2&3 Stage 3&4 Stage 4&5 Challenge level:
Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?
Have a go at this game which involves throwing two dice and adding their totals. Where should you place your counters to be more likely to win?
Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.
Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possibilities that could come up?
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?
Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.
If you have only four weights, where could you place them in order to balance this equaliser?
Can you substitute numbers for the letters in these sums?
Choose a symbol to put into the number sentence.
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 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?
Write the numbers up to 64 in an interesting way so that the shape they make at the end is interesting, different, more exciting ... than just a square.
Find the sum of all three-digit numbers each of whose digits is odd.
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?
Three children are going to buy some plants for their birthdays. They will plant them within circular paths. How could they do this?
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?
What do you notice about the date 03.06.09? Or 08.01.09? This challenge invites you to investigate some interesting dates yourself.
Katie had a pack of 20 cards numbered from 1 to 20. She arranged the cards into 6 unequal piles where each pile added to the same total. What was the total and how could this be done?
Exactly 195 digits have been used to number the pages in a book. How many pages does the book have?
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.
A group of children are using measuring cylinders but they lose the labels. Can you help relabel them?
Ben has five coins in his pocket. How much money might he have?
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?
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!
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10 will be?
Can you make a cycle of pairs that add to make a square number using all the numbers in the box below, once and once only?
There are 44 people coming to a dinner party. There are 15 square tables that seat 4 people. Find a way to seat the 44 people using all 15 tables, with no empty places.
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?
There are 4 jugs which hold 9 litres, 7 litres, 4 litres and 2 litres. Find a way to pour 9 litres of drink from one jug to another until you are left with exactly 3 litres in three of the jugs.
Using the statements, can you work out how many of each type of rabbit there are in these pens?
A game for 2 players. Practises subtraction or other maths operations knowledge.
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?
Place the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. How many different ways can you do this?
There are 78 prisoners in a square cell block of twelve cells. The clever prison warder arranged them so there were 25 along each wall of the prison block. How did he do it?
What do the digits in the number fifteen add up to? How many other numbers have digits with the same total but no zeros?
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 use the information to find out which cards I have used?
Arrange eight of the numbers between 1 and 9 in the Polo Square below so that each side adds to the same total.
Can you arrange 5 different digits (from 0 - 9) in the cross in the way described?
Choose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.
Cherri, Saxon, Mel and Paul are friends. They are all different ages. Can you find out the age of each friend using the information?
A game for 2 people. Use your skills of addition, subtraction, multiplication and division to blast the asteroids.
This challenge extends the Plants investigation so now four or more children are involved.
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?
An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.
This challenging activity involves finding different ways to distribute fifteen items among four sets, when the sets must include three, four, five and six items.
Use your logical-thinking skills to deduce how much Dan's crisps and ice-cream cost altogether.
Suppose there is a train with 24 carriages which are going to be put together to make up some new trains. Can you find all the ways that this can be done?
These two group activities use mathematical reasoning - one is numerical, one geometric.
Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.