Primary Interactive Summer Challenges 2022

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 Secondary Interactive Summer Challenges 2022.

game

Train Tactics

A train building game for two players. Can you be the one to complete the train?

game

Phiddlywinks

Have a go at this version of John Conway's game. Do you have any good strategies for winning?

problem

Favourite

Number Balance

Age

5 to 7

Challenge level

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

interactivity

Tangram Browser

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

problem

Favourite

Fruity Totals

Age

7 to 16

Challenge level

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

problem

Favourite

Number Lines in Disguise

Age

7 to 14

Challenge level

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

problem

Matching numbers

Age

5 to 7

Challenge level

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

problem

Favourite

Coded hundred square

Age

7 to 11

Challenge level

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

problem

Favourite

Treasure Hunt

Age

7 to 14

Challenge level

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

problem

Favourite

First Connect Three

Age

7 to 11

Challenge level

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?

problem

Favourite

100 Square Jigsaw

Age

5 to 7

Challenge level

Can you complete this jigsaw of the 100 square?

problem

Favourite

Same Length Trains

Age

5 to 7

Challenge level

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

problem

Favourite

Robot Monsters

Age

5 to 7

Challenge level

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

problem

Favourite

Your number is...

Age

7 to 14

Challenge level

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

problem

Favourite

Remainders

Age

7 to 14

Challenge level

I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?

problem

Favourite

Dozens

Age

7 to 14

Challenge level

Can you select the missing digit(s) to find the largest multiple?

problem

Favourite

Four Triangles Puzzle

Age

5 to 11

Challenge level

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?

problem

Favourite

Largest Even

Age

5 to 11

Challenge level

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

problem

Favourite

Tables Teaser

Age

5 to 7

Challenge level

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

problem

Favourite

Poly Plug Rectangles

Age

5 to 11

Challenge level

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?

problem

Favourite

The Number Jumbler

Age

7 to 14

Challenge level

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

problem

Latin Lilies

Age

7 to 14

Challenge level

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

problem

Gathering Gems

Age

5 to 11

Challenge level

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

problem

Favourite

Light the Lights

Age

5 to 7

Challenge level

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

game

Favourite

Factors and Multiples Game

A game in which players take it in turns to choose a number. Can you block your opponent?

game

Ducking and Dividing

Your vessel, the Starship Diophantus, has become damaged in deep space. Can you use your knowledge of times tables and some lightning reflexes to survive?

game

Favourite

Countdown

Here is a chance to play a version of the classic Countdown Game.

problem

Favourite

Seeing Squares

Age

5 to 11

Challenge level

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.

problem

Favourite

Got It

Age

7 to 14

Challenge level

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.

$Matching fractions$