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Each weekday from 19 July to 31 August, a new game or puzzle will appear on this page.
After you've had a go at the day's challenge you may be able to compare your approach to the solutions we have published, which are based on students' work.
You can also find Secondary Games and Puzzles for Summer 2021.
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.
Use your knowledge of place value to try to win this game. How will you maximise your score?
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 game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
You'll need two dice to play this game against a partner. Will Incey Wincey make it to the top of the drain pipe or the bottom of the drain pipe first?
A game in which players take it in turns to choose a number. Can you block your opponent?
Who said that adding, subtracting, multiplying and dividing couldn't be fun?
Play this game and see if you can figure out the computer's chosen number.
Here is a chance to play a version of the classic Countdown Game.
A train building game for two players. Can you be the one to complete the train?
How good are you at estimating angles?
Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?
In this interactivity each fruit has a hidden value. Can you deduce what each one is worth?
The Number Jumbler can always work out your chosen symbol. Can you work out how?
This challenge is a game for two players. Choose two of the numbers to multiply or divide, then mark your answer on the number line. Can you get four in a row?
In this game for two players, you throw two dice and find the product. How many shapes can you draw on the grid which have that area or perimeter?
Can you use the numbers on the dice to reach your end of the number line before your partner beats you?
What is the smallest number of answers you need to reveal in order to work out the missing headers?
In this game for two players, the idea is to take it in turns to choose 1, 3, 5 or 7. The winner is the first to make the total 37.
There are nasty versions of this dice game but we'll start with the nice ones...
Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?
Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.
This is a game for two players. Can you find out how to be the first to get to 12 o'clock?
An old game but lots of arithmetic!
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?
Take it in turns to make a triangle on the pegboard. Can you block your opponent?
Dotty Six is a simple dice game that you can adapt in many ways.
Choose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.
Skippy and Anna are locked in a room in a large castle. The key to that room, and all the other rooms, is a number. The numbers are locked away in a problem. Can you help them to get out?
Given the products of adjacent cells, can you complete this Sudoku?
Who said that adding couldn't be fun?