We have a challenge a day for you throughout the summer break...
Each weekday, from 10 July to 1 September, a new problem or game 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 Summer Challenges 2023.
What's Possible?
Why 24?
Where can we visit?
American Billions
Frogs
Peaches today, Peaches tomorrow...
Tourism
Consecutive Seven
Substitution Cipher
Factors and Multiples Puzzle
Route to infinity
Connect Three
crossing the bridge
Zin Obelisk
Multiples Sudoku
Sticky Numbers
Always a multiple?
Sociable Cards
Magic Letters
Kite in a Square
Olympic Measures
Forwards Add Backwards
Overlaps
Gabriel's Problem
More Less is More
What numbers can we make?
Imagine we have four bags containing a large number of 1s, 4s, 7s and 10s. What numbers can we make?
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?
Cinema Problem
A cinema has 100 seats. How can ticket sales make £100 for these different combinations of ticket prices?
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?
Product Sudoku
The clues for this Sudoku are the product of the numbers in adjacent squares.
The Remainders Game
Play this game and see if you can figure out the computer's chosen number.
Last Biscuit
Can you find a strategy that ensures you get to take the last biscuit in this game?
Pair Products
Choose four consecutive whole numbers. Multiply the first and last numbers together. Multiply the middle pair together. What do you notice?
Special Numbers
My two digit number is special because adding the sum of its digits to the product of its digits gives me my original number. What could my number be?