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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 Primary Games and Puzzles for Summer 2021.
Each clue in this Sudoku is the product of the two numbers in adjacent cells.
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.
In this game the winner is the first to complete a row of three. Are some squares easier to land on than others?
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.
How many moves does it take to swap over some red and blue frogs? Do you have a method?
The clues for this Sudoku are the product of the numbers in adjacent squares.
By selecting digits for an addition grid, what targets can you make?
A game in which players take it in turns to choose a number. Can you block your opponent?
Gabriel multiplied together some numbers and then erased them. Can you figure out where each number was?
Can you crack these cryptarithms?
Play this game and see if you can figure out the computer's chosen number.
Collect as many diamonds as you can by drawing three straight lines.
Can you guess the colours of the 10 marbles in the bag? Can you develop an effective strategy for reaching 1000 points in the least number of rounds?
Here is a chance to play a version of the classic Countdown Game.
Mr McGregor has a magic potting shed. Overnight, the number of plants in it doubles. He'd like to put the same number of plants in each of three gardens, planting one garden each day. Can he do it?
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?
Can you use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour?
Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?
Can you find the hidden factors which multiply together to produce each quadratic expression?
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?
Nine squares are fitted together to form a rectangle. Can you find its dimensions?
What is the smallest number of answers you need to reveal in order to work out the missing headers?
There are nasty versions of this dice game but we'll start with the nice ones...
Use the differences to find the solution to this Sudoku.
Can you picture how to order the cards to reproduce Charlie's card trick for yourself?
Here is a Sudoku with a difference! Use information about lowest common multiples to help you solve it.
How is it possible to predict the card?
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, subtracting, multiplying and dividing couldn't be fun?