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We have a challenge a day for you throughout the summer break...
Each weekday, from 18 July to 2 September, a new interactive 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 Interactive Summer Challenges 2022.
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 these head, body and leg pieces to make Robot Monsters which are different heights.
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.
This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?
Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?
A game in which players take it in turns to choose a number. Can you block your opponent?
Can you select the missing digit(s) to find the largest multiple?
Play this game and see if you can figure out the computer's chosen number.
Sort the houses in my street into different groups. Can you do it in any other ways?
Ben and his mum are planting garlic. Can you find out how many cloves of garlic they might have had?
I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?
In this game you are challenged to gain more columns of lily pads than your opponent.
Using compass points, can you describe up to ten paths on this map so that you bring as many gems back home as possible?
How would you create the largest possible two-digit even number from the digit I've given you and one of your choice?
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
Have a go at this version of John Conway's game. Do you have any good strategies for winning?
Can you hang weights in the right place to make the the number balance balanced?
Explore our selection of interactive tangrams. Can you use the tangram pieces to re-create each picture?
A group of animals has made a seesaw in the woods. How can you make the seesaw balance?
Here is a chance to play a version of the classic Countdown Game.
Can you find different ways of showing the same fraction? Try this matching game and see.
Can you find different ways of showing the same number? Try this matching game and see!
How many trains can you make which are the same length as Matt's and Katie's, using rods that are identical?
A train building game for two players. Can you be the one to complete the train?
Some of the numbers have fallen off Becky's number line. Can you figure out what they were?
How good are you at estimating angles?
Can you put these shapes in order of size? Start with the smallest.
Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?
The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?
Your vessel, the Starship Diophantus, has become damaged in deep space. Can you use your knowledge of times tables and some lightning reflexes to survive?
Think of a number and follow the machine's instructions... I know what your number is! Can you explain how I know?
How will you complete these interactive Venn diagrams?
Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
How will you work out which numbers have been used to create this multiplication square?
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?
Can you complete this jigsaw of the 100 square?