Noah saw 12 legs walk by into the Ark. How many creatures did he see?
Woof is a big dog. Yap is a little dog. Emma has 16 dog biscuits to give to the two dogs. She gave Woof 4 more biscuits than Yap. How many biscuits did each dog get?
Sam got into an elevator. He went down five floors, up six floors, down seven floors, then got out on the second floor. On what floor did he get on?
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?
Claire thinks she has the most sports cards in her album. "I have 12 pages with 2 cards on each page", says Claire. Ross counts his cards. "No! I have 3 cards on each of my pages and there are. . . .
On Planet Plex, there are only 6 hours in the day. Can you answer these questions about how Arog the Alien spends his day?
There were 22 legs creeping across the web. How many flies? How many spiders?
This challenge is about finding the difference between numbers which have the same tens digit.
There are three baskets, a brown one, a red one and a pink one, holding a total of 10 eggs. Can you use the information given to find out how many eggs are in each basket?
Arrange the numbers 1 to 6 in each set of circles below. The sum of each side of the triangle should equal the number in its centre.
Fill in the numbers to make the sum of each row, column and diagonal equal to 15.
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?
Can you arrange fifteen dominoes so that all the touching domino pieces add to 6 and the ends join up? Can you make all the joins add to 7?
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?
Exactly 195 digits have been used to number the pages in a book. How many pages does the book have?
Can you find 2 butterflies to go on each flower so that the numbers on each pair of butterflies adds to the same number as the one on the flower?
Place the numbers 1 to 6 in the circles so that each number is the difference between the two numbers just below it.
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?
On a farm there were some hens and sheep. Altogether there were 8 heads and 22 feet. How many hens were there?
Annie and Ben are playing a game with a calculator. What was Annie's secret number?
Using the cards 2, 4, 6, 8, +, - and =, what number statements can you make?
These caterpillars have 16 parts. What different shapes do they make if each part lies in the small squares of a 4 by 4 square?
Twizzle, a female giraffe, needs transporting to another zoo. Which route will give the fastest journey?
Can you work out how many flowers there will be on the Amazing Splitting Plant after it has been growing for six weeks?
Jack's mum bought some candles to use on his birthday cakes and when his sister was born, she used them on her cakes too. Can you use the information to find out when Kate was born?
A game for 2 or more players. Practise your addition and subtraction with the aid of a game board and some dried peas!
This big box adds something to any number that goes into it. If you know the numbers that come out, what addition might be going on in the box?
In this game for two players, the aim is to make a row of four coins which total one dollar.
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?
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 each work out the number on your card? What do you notice? How could you sort the cards?
Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.
Use five steps to count forwards or backwards in 1s or 10s to get to 50. What strategies did you use?
Find all the numbers that can be made by adding the dots on two dice.
You have 5 darts and your target score is 44. How many different ways could you score 44?
This task, written for the National Young Mathematicians' Award 2016, focuses on 'open squares'. What would the next five open squares look like?
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?
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?
Mrs Morgan, the class's teacher, pinned numbers onto the backs of three children. Use the information to find out what the three numbers were.
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!
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?
Winifred Wytsh bought a box each of jelly babies, milk jelly bears, yellow jelly bees and jelly belly beans. In how many different ways could she make a jolly jelly feast with 32 legs?
Can you hang weights in the right place to make the equaliser balance?
Can you substitute numbers for the letters in these sums?
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?
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?
Cassandra, David and Lachlan are brothers and sisters. They range in age between 1 year and 14 years. Can you figure out their exact ages from the clues?
Place the digits 1 to 9 into the circles so that each side of the triangle adds to the same total.
Tell your friends that you have a strange calculator that turns numbers backwards. What secret number do you have to enter to make 141 414 turn around?
A game for 2 players. Practises subtraction or other maths operations knowledge.