Here is a chance to play a fractions version of the classic Countdown Game.
Can you find six numbers to go in the Daisy from which you can make all the numbers from 1 to a number bigger than 25?
Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?
This Sudoku requires you to do some working backwards before working forwards.
Can you explain the strategy for winning this game with any target?
Got It game for an adult and child. How can you play so that you know you will always win?
How many different differences can you make?
Strike it Out game for an adult and child. Can you stop your partner from being able to go?
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
Here is a chance to play a version of the classic Countdown Game.
Arrange three 1s, three 2s and three 3s in this square so that every row, column and diagonal adds to the same total.
How many solutions can you find to this sum? Each of the different letters stands for a different number.
Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
A cinema has 100 seats. Show how it is possible to sell exactly 100 tickets and take exactly £100 if the prices are £10 for adults, 50p for pensioners and 10p for children.
Make your own double-sided magic square. But can you complete both sides once you've made the pieces?
The letters in the following addition sum represent the digits 1 ... 9. If A=3 and D=2, what number is represented by "CAYLEY"?
Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.
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?
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?
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.
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?
Number problems at primary level that may require resilience.
Find the values of the nine letters in the sum: FOOT + BALL = GAME
By selecting digits for an addition grid, what targets can you make?
Different combinations of the weights available allow you to make different totals. Which totals can you make?
This is an adding game for two players.
First Connect Three game for an adult and child. Use the dice numbers and either addition or subtraction to get three numbers in a straight line.
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
Five numbers added together in pairs produce: 0, 2, 4, 4, 6, 8, 9, 11, 13, 15 What are the five numbers?
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?
Crosses can be drawn on number grids of various sizes. What do you notice when you add opposite ends?
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. . . .
The Scot, John Napier, invented these strips about 400 years ago to help calculate multiplication and division. Can you work out how to use Napier's bones to find the answer to these multiplications?
Can you crack these cryptarithms?
An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.
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?
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!
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?
A game for 2 people. Use your skills of addition, subtraction, multiplication and division to blast the asteroids.
Surprise your friends with this magic square trick.
This task, written for the National Young Mathematicians' Award 2016, involves open-topped boxes made with interlocking cubes. Explore the number of units of paint that are needed to cover the boxes. . . .
A number game requiring a strategy.
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?
Replace each letter with a digit to make this addition correct.
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?
A game for 2 people using a pack of cards Turn over 2 cards and try to make an odd number or a multiple of 3.
Number problems at primary level to work on with others.
Can you make square numbers by adding two prime numbers together?
This Sudoku, based on differences. Using the one clue number can you find the solution?