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.
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.
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?
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?
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.
Frogs
Crossing the bridge
Four friends must cross a bridge. How can they all cross it in just 17 minutes?
Dozens
Can you select the missing digit(s) to find the largest multiple?
What numbers can we make now?
Imagine we have four bags containing numbers from a sequence. What numbers can we make now?
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?
Polygon rings
Join pentagons together edge to edge. Will they form a ring?
L-triominoes
Latin lilies
Stars
In the bag
Tilted squares
It's easy to work out the areas of most squares that we meet, but what if they were tilted?
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?
The better choice
Comparing carbon footprints
Magic potting sheds
Number lines in disguise
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?
Treasure hunt
Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?
Beelines
Nine colours
Your number is...
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?
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?
Isosceles triangles
Draw some isosceles triangles with an area of $9$cm$^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?
Finding factors
Can you find the hidden factors which multiply together to produce each quadratic expression?
Fruity totals
In this interactivity each fruit has a hidden value. Can you deduce what each one is worth?
The Number Jumbler
The Number Jumbler can always work out your chosen symbol. Can you work out how?