This article for teachers suggests ideas for activities built around 10 and 2010.

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Investigate the different distances of these car journeys and find out how long they take.

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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?

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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.

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

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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?

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This is an adding game for two players. Can you be the first to reach the target?

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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?

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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?

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Strike it Out game for an adult and child. Can you stop your partner from being able to go?

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A game for 2 players. Practises subtraction or other maths operations knowledge.

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Here is a chance to play a version of the classic Countdown Game.

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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. . . .

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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?

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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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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.

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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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Fill in the missing numbers so that adding each pair of corner numbers gives you the number between them (in the box).

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An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

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There are nasty versions of this dice game but we'll start with the nice ones...

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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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Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.

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Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.

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Three children are going to buy some plants for their birthdays. They will plant them within circular paths. How could they do this?

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This group activity will encourage you to share calculation strategies and to think about which strategy might be the most efficient.

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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!

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

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How many ways can you find to put in operation signs (+ - x Ã·) to make 100?

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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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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.

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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.

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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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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?

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Using the statements, can you work out how many of each type of rabbit there are in these pens?

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Arrange three 1s, three 2s and three 3s in this square so that every row, column and diagonal adds to the same total.

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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?

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

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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.

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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!

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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?

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The clockmaker's wife cut up his birthday cake to look like a clock face. Can you work out who received each piece?

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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?

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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?

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Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?

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Here is a chance to play a fractions version of the classic Countdown Game.

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How many solutions can you find to this sum? Each of the different letters stands for a different number.