We have a challenge a day for you throughout the summer break...

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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 Secondary Interactive Summer Challenges 2022.

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### Number Balance

Can you hang weights in the right place to make the the number balance balanced?

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### Tangram Browser

Explore our selection of interactive tangrams. Can you use the tangram pieces to re-create each picture?

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### Fruity Totals

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

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### Number Lines in Disguise

Some of the numbers have fallen off Becky's number line. Can you figure out what they were?

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### Carroll Diagrams

Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?

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### 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.

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### Matching numbers

Can you find different ways of showing the same number? Try this matching game and see!

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### Matching fractions

Can you find different ways of showing the same fraction? Try this matching game and see.

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### Coded hundred square

This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?

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### Treasure Hunt

Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?

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### First Connect Three

Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?

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### Same Length Trains

How many trains can you make which are the same length as Matt's and Katie's, using rods that are identical?

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### Robot Monsters

Use these head, body and leg pieces to make Robot Monsters which are different heights.

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### Your number is...

Think of a number and follow the machine's instructions... I know what your number is! Can you explain how I know?

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### 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?

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### 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?

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### 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.

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### Seesaw Shenanigans

A group of animals has made a seesaw in the woods. How can you make the seesaw balance?

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### Largest Even

How would you create the largest possible two-digit even number from the digit I've given you and one of your choice?

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### Tables Teaser

How will you work out which numbers have been used to create this multiplication square?

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### Sort the Street

Sort the houses in my street into different groups. Can you do it in any other ways?

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### Poly Plug Rectangles

The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?

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### Growing Garlic

Ben and his mum are planting garlic. Can you find out how many cloves of garlic they might have had?

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### The Number Jumbler

The Number Jumbler can always work out your chosen symbol. Can you work out how?

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### Latin Lilies

In this game you are challenged to gain more columns of lily pads than your opponent.

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### Gathering Gems

Using compass points, can you describe up to ten paths on this map so that you bring as many gems back home as possible?

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### Light the Lights

Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?