List

Primary Interactive Summer Challenges 2022

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.

 

Train Tactics
game

Train Tactics

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

Phiddlywinks

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

Number Balance

Age
5 to 7
Challenge level
filled star empty star empty star
Can you hang weights in the right place to make the the number balance balanced?
Tangram Browser
interactivity

Tangram Browser

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

Fruity Totals

Age
7 to 16
Challenge level
filled star empty star empty star
In this interactivity each fruit has a hidden value. Can you deduce what each one is worth?
Number Lines in Disguise
problem
Favourite

Number Lines in Disguise

Age
7 to 14
Challenge level
filled star filled star empty star
Some of the numbers have fallen off Becky's number line. Can you figure out what they were?
Carroll Diagrams
problem
Favourite

Carroll Diagrams

Age
5 to 11
Challenge level
filled star empty star empty star
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
Seeing Squares
problem
Favourite

Seeing Squares

Age
5 to 11
Challenge level
filled star empty star empty star
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.
Matching numbers
problem

Matching numbers

Age
5 to 7
Challenge level
filled star empty star empty star
Can you find different ways of showing the same number? Try this matching game and see!
Matching fractions
problem
Favourite

Matching fractions

Age
7 to 11
Challenge level
filled star empty star empty star
Can you find different ways of showing the same fraction? Try this matching game and see.
Coded hundred square
problem
Favourite

Coded hundred square

Age
7 to 11
Challenge level
filled star empty star empty star
This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?
Treasure Hunt
problem
Favourite

Treasure Hunt

Age
7 to 14
Challenge level
filled star empty star empty star
Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?
Venn diagrams
problem
Favourite

Venn diagrams

Age
5 to 11
Challenge level
filled star empty star empty star
How will you complete these interactive Venn diagrams?
First Connect Three
problem
Favourite

First Connect Three

Age
7 to 11
Challenge level
filled star empty star empty star
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?
100 Square Jigsaw
problem
Favourite

100 Square Jigsaw

Age
5 to 7
Challenge level
filled star empty star empty star
Can you complete this jigsaw of the 100 square?
Same Length Trains
problem
Favourite

Same Length Trains

Age
5 to 7
Challenge level
filled star empty star empty star
How many trains can you make which are the same length as Matt's and Katie's, using rods that are identical?
Robot Monsters
problem
Favourite

Robot Monsters

Age
5 to 7
Challenge level
filled star empty star empty star
Use these head, body and leg pieces to make Robot Monsters which are different heights.
Your number is...
problem
Favourite

Your number is...

Age
7 to 14
Challenge level
filled star empty star empty star
Think of a number and follow the machine's instructions... I know what your number is! Can you explain how I know?
Remainders
problem
Favourite

Remainders

Age
7 to 14
Challenge level
filled star filled star empty star
I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?
Dozens
problem
Favourite

Dozens

Age
7 to 14
Challenge level
filled star empty star empty star
Can you select the missing digit(s) to find the largest multiple?
Four Triangles Puzzle
problem
Favourite

Four Triangles Puzzle

Age
5 to 11
Challenge level
filled star empty star empty star
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?
Seesaw Shenanigans
problem
Favourite

Seesaw Shenanigans

Age
3 to 7
Challenge level
filled star empty star empty star
A group of animals has made a seesaw in the woods. How can you make the seesaw balance?
Largest Even
problem
Favourite

Largest Even

Age
5 to 11
Challenge level
filled star empty star empty star
How would you create the largest possible two-digit even number from the digit I've given you and one of your choice?
Tables Teaser
problem
Favourite

Tables Teaser

Age
5 to 7
Challenge level
filled star empty star empty star
How will you work out which numbers have been used to create this multiplication square?
Sort the Street
problem
Favourite

Sort the Street

Age
5 to 7
Challenge level
filled star empty star empty star
Sort the houses in my street into different groups. Can you do it in any other ways?
Poly Plug Rectangles
problem
Favourite

Poly Plug Rectangles

Age
5 to 11
Challenge level
filled star empty star empty star
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?
Sizing them Up
problem
Favourite

Sizing them Up

Age
5 to 7
Challenge level
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Can you put these shapes in order of size? Start with the smallest.
The Number Jumbler
problem
Favourite

The Number Jumbler

Age
7 to 14
Challenge level
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The Number Jumbler can always work out your chosen symbol. Can you work out how?
Latin Lilies
problem

Latin Lilies

Age
7 to 14
Challenge level
filled star empty star empty star
In this game you are challenged to gain more columns of lily pads than your opponent.
Gathering Gems
problem

Gathering Gems

Age
5 to 11
Challenge level
filled star empty star empty star
Using compass points, can you describe up to ten paths on this map so that you bring as many gems back home as possible?
Light the Lights
problem
Favourite

Light the Lights

Age
5 to 7
Challenge level
filled star filled star empty star

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

Growing Garlic
problem
Favourite

Growing Garlic

Age
5 to 11
Challenge level
filled star empty star empty star

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

Got It
problem
Favourite

Got It

Age
7 to 14
Challenge level
filled star filled star empty star

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.

Factors and Multiples Game
game
Favourite

Factors and Multiples Game

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

Ducking and Dividing
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?

Countdown
game
Favourite

Countdown

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