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.

Multiples Sudoku
Each clue in this Sudoku is the product of the two numbers in adjacent cells.

Why 24?

Sociable cards

Magic letters

Route to infinity

Kite in a square
Can you make sense of the three methods to work out what fraction of the total area is shaded?

Substitution cipher

Cinema problem
A cinema has 100 seats. How can ticket sales make £100 for these different combinations of ticket prices?

Olympic measures

Consecutive seven

More less is more

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.

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?

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?


What's possible?

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?

Where can we visit?

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

Pair products
Choose four consecutive whole numbers. Multiply the first and last numbers together. Multiply the middle pair together. What do you notice?

Crossing the bridge
Four friends must cross a bridge. How can they all cross it in just 17 minutes?

Product Sudoku
The clues for this Sudoku are the product of the numbers in adjacent squares.


American billions

Sticky numbers


Peaches today, peaches tomorrow...

Gabriel's problem


Tourism

Always a multiple?
Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...


Factors and multiples puzzle

