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

### 3D Treasure Hunt

### Isosceles Triangles

### Stars

### The Better Choice

### Magic potting sheds

### Connect Three

### crossing the bridge

### In the bag

### L-triominoes

### Finding factors

### Comparing Carbon Footprints

### Number Lines in Disguise

### Treasure Hunt

### Your number is...

### Remainders

### The Number Jumbler

### 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?

### 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?

### 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?

### What numbers can we make now?

Imagine we have four bags containing numbers from a sequence. What numbers can we make now?

### Fruity Totals

In this interactivity each fruit has a hidden value. Can you deduce what each one is worth?