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Got It game for an adult and child. How can you play so that you know you will always win?

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Do you notice anything about the solutions when you add and/or subtract consecutive negative numbers?

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Throughout these challenges, the touching faces of any adjacent dice must have the same number. Can you find a way of making the total on the top come to each number from 11 to 18 inclusive?

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In the following sum the letters A, B, C, D, E and F stand for six distinct digits. Find all the ways of replacing the letters with digits so that the arithmetic is correct.

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I throw three dice and get 5, 3 and 2. Add the scores on the three dice. What do you get? Now multiply the scores. What do you notice?

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Crosses can be drawn on number grids of various sizes. What do you notice when you add opposite ends?

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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?

Find out about Magic Squares in this article written for students. Why are they magic?!

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What happens when you add three numbers together? Will your answer be odd or even? How do you know?

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This task, written for the National Young Mathematicians' Award 2016, focuses on 'open squares'. What would the next five open squares look like?

This article explains how to make your own magic square to mark a special occasion with the special date of your choice on the top line.

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Make a set of numbers that use all the digits from 1 to 9, once and once only. Add them up. The result is divisible by 9. Add each of the digits in the new number. What is their sum? Now try some. . . .

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This dice train has been made using specific rules. How many different trains can you make?

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This Sudoku requires you to do some working backwards before working forwards.

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If you take a three by three square on a 1-10 addition square and multiply the diagonally opposite numbers together, what is the difference between these products. Why?

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Can you explain the strategy for winning this game with any target?

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Investigate the different ways that fifteen schools could have given money in a charity fundraiser.

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Choose two digits and arrange them to make two double-digit numbers. Now add your double-digit numbers. Now add your single digit numbers. Divide your double-digit answer by your single-digit answer. . . .

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This Sudoku, based on differences. Using the one clue number can you find the solution?

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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?

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Number problems at primary level that may require resilience.

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Number problems at primary level to work on with others.

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In this game, you can add, subtract, multiply or divide the numbers on the dice. Which will you do so that you get to the end of the number line first?

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Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?

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Play this game to learn about adding and subtracting positive and negative numbers

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This task, written for the National Young Mathematicians' Award 2016, invites you to explore the different combinations of scores that you might get on these dart boards.

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Surprise your friends with this magic square trick.

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Make your own double-sided magic square. But can you complete both sides once you've made the pieces?

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Investigate the totals you get when adding numbers on the diagonal of this pattern in threes.

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What do the digits in the number fifteen add up to? How many other numbers have digits with the same total but no zeros?

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What is the largest number you can make using the three digits 2, 3 and 4 in any way you like, using any operations you like? You can only use each digit once.

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

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Use your logical reasoning to work out how many cows and how many sheep there are in each field.

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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.

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A game for 2 people. Use your skills of addition, subtraction, multiplication and division to blast the asteroids.

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On the planet Vuv there are two sorts of creatures. The Zios have 3 legs and the Zepts have 7 legs. The great planetary explorer Nico counted 52 legs. How many Zios and how many Zepts were there?

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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?

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Three dice are placed in a row. Find a way to turn each one so that the three numbers on top of the dice total the same as the three numbers on the front of the dice. Can you find all the ways to do. . . .

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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?

This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.

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Arrange eight of the numbers between 1 and 9 in the Polo Square below so that each side adds to the same total.

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Different combinations of the weights available allow you to make different totals. Which totals can you make?

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Can you arrange the digits 1,2,3,4,5,6,7,8,9 into three 3-digit numbers such that their total is close to 1500?

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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?

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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?

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Try entering different sets of numbers in the number pyramids. How does the total at the top change?

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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?