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 Primary Interactive Summer Challenges 2022.
Phiddlywinks
Beelines
Nine colours
Frogs
Isosceles triangles
Stars
The better choice
Magic potting sheds
In the bag
L-triominoes
Finding factors
Comparing carbon footprints
Number lines in disguise
Treasure hunt
Your number is...
Latin lilies
Square coordinates
A tilted square is a square with no horizontal sides. Can you devise a general instruction for the construction of a square when you are given just one of its sides?
Square it
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.
Factors and multiples game
A game in which players take it in turns to choose a number. Can you block your opponent?
Polygon rings
Join pentagons together edge to edge. Will they form a ring?
Semi-regular tessellations
Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?
Got it
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.
Take three from five
Caroline and James pick sets of five numbers. Charlie tries to find three that add together to make a multiple of three. Can they stop him?
The remainders game
Play this game and see if you can figure out the computer's chosen number.
Diamond collector
Collect as many diamonds as you can by drawing three straight lines.
Last biscuit
Can you find a strategy that ensures you get to take the last biscuit in this game?
Tilted squares
It's easy to work out the areas of most squares that we meet, but what if they were tilted?
What numbers can we make now?
Imagine we have four bags containing numbers from a sequence. What numbers can we make now?
The number jumbler
The Number Jumbler can always work out your chosen symbol. Can you work out how?
Charlie's delightful machine
Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?
Crossing the bridge
Four friends must cross a bridge. How can they all cross it in just 17 minutes?
Connect three
In this game the winner is the first to complete a row of three. Are some squares easier to land on than others?
Fruity totals
In this interactivity each fruit has a hidden value. Can you deduce what each one is worth?
Dozens
Can you select the missing digit(s) to find the largest multiple?
Remainders
I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?
3D treasure hunt
Some treasure has been hidden in a three-dimensional grid! Can you work out a strategy to find it as efficiently as possible?