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 Secondary Summer Challenges 2023.
Dicey Operations in Line
Three block towers
Biscuit Decorations
Skip Counting
Missing Middles
Making Sticks
Family Tree
Add 3 Dice
Sets of Numbers
Sealed Solution
Nim-7
Seven Flipped
Shape Times Shape
Factor track
Incey Wincey Spider
More Less is More
Butterfly Flowers
Can you find two butterflies to go on each flower so that the numbers on each pair of butterflies adds to the number on their flower?
Less is More
Coded hundred square
First Connect Three
Robot Monsters
4 Dom
Mystery Matrix
Junior Frogs
Two-digit targets
You have a set of the digits from 0 to 9. Can you arrange these in the five boxes to make two-digit numbers as close to the targets as possible?
Factors and Multiples Game
A game in which players take it in turns to choose a number. Can you block your opponent?
Make 37
Four bags contain a large number of 1s, 3s, 5s and 7s. Can you pick any ten numbers from the bags so that their total is 37?
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.
Sort the Street
Sort the houses in my street into different groups. Can you do it in any other ways?
The Remainders Game
Play this game and see if you can figure out the computer's chosen number.
Roll these Dice
Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possible answers?
A City of Towers
In this town, houses are built with one room for each person. There are some families of seven people living in the town. In how many different ways can they build their houses?
Square Corners
What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?
Teddy Town - Part four
There are twenty five teddies in Teddy Town - five red, five blue, five yellow, five green and five purple. There are also twenty five houses, five of each colour. Can you put them on the map of Teddy Town according to the rules?
Teddy Town - Part five
There are thirty six teddies in Teddy Town - six red, six blue, six yellow, six green, six purple and six turquoise. There are also thirty six houses, six of each colour. Can you put them on the map of Teddy Town according to the rules?
Teddy Town - Part three
There are sixteen teddies in Teddy Town - four red, four blue, four yellow and four green. There are also sixteen houses, four of each colour. Can you put them on the map of Teddy Town according to the rules?
Teddy Town - Part two
There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?
Teddy Town
There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?
Four Triangles Puzzle
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?
Seeing Squares
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.