This article for teachers suggests ideas for activities built around 10 and 2010.
Investigate the different distances of these car journeys and find out how long they take.
During the third hour after midnight the hands on a clock point in the same direction (so one hand is over the top of the other). At what time, to the nearest second, does this happen?
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.
Can you explain the strategy for winning this game with any target?
Mr. Sunshine tells the children they will have 2 hours of homework. After several calculations, Harry says he hasn't got time to do this homework. Can you see where his reasoning is wrong?
This is an adding game for two players. Can you be the first to reach the target?
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?
A lady has a steel rod and a wooden pole and she knows the length of each. How can she measure out an 8 unit piece of pole?
Can you explain how this card trick works?
Strike it Out game for an adult and child. Can you stop your partner from being able to go?
A game for 2 players. Practises subtraction or other maths operations knowledge.
Here is a chance to play a version of the classic Countdown Game.
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. . . .
On the table there is a pile of oranges and lemons that weighs exactly one kilogram. Using the information, can you work out how many lemons there are?
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?
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.
Make your own double-sided magic square. But can you complete both sides once you've made the pieces?
Fill in the missing numbers so that adding each pair of corner numbers gives you the number between them (in the box).
An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.
There are nasty versions of this dice game but we'll start with the nice ones...
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?
Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
Three children are going to buy some plants for their birthdays. They will plant them within circular paths. How could they do this?
This group activity will encourage you to share calculation strategies and to think about which strategy might be the most efficient.
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!
Do you notice anything about the solutions when you add and/or subtract consecutive negative numbers?
How many ways can you find to put in operation signs (+ - x Ã·) to make 100?
How many different differences can you make?
A number game requiring a strategy.
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
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.
A game for 2 people. Use your skills of addition, subtraction, multiplication and division to blast the asteroids.
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
Different combinations of the weights available allow you to make different totals. Which totals can you make?
Is it possible to rearrange the numbers 1,2......12 around a clock face in such a way that every two numbers in adjacent positions differ by any of 3, 4 or 5 hours?
Using the statements, can you work out how many of each type of rabbit there are in these pens?
Arrange three 1s, three 2s and three 3s in this square so that every row, column and diagonal adds to the same total.
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?
This Sudoku, based on differences. Using the one clue number can you find the solution?
A game for 2 or more players with a pack of cards. Practise your skills of addition, subtraction, multiplication and division to hit the target score.
Which times on a digital clock have a line of symmetry? Which look the same upside-down? You might like to try this investigation and find out!
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?
The clockmaker's wife cut up his birthday cake to look like a clock face. Can you work out who received each piece?
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?
We start with one yellow cube and build around it to make a 3x3x3 cube with red cubes. Then we build around that red cube with blue cubes and so on. How many cubes of each colour have we used?
Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?
Here is a chance to play a fractions version of the classic Countdown Game.
How many solutions can you find to this sum? Each of the different letters stands for a different number.