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.

problem

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

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

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

Carroll Diagrams

Age

5 to 11

Challenge level

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

problem

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

Matching numbers

Age

5 to 7

Challenge level

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

$Matching fractions$

problem

Matching fractions

Age

7 to 11

Challenge level

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

problem

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

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

Venn diagrams

Age

5 to 11

Challenge level

How will you complete these interactive Venn diagrams?

problem

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

100 Square Jigsaw

Age

5 to 7

Challenge level

Can you complete this jigsaw of the 100 square?

problem

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

Robot Monsters

Age

5 to 7

Challenge level

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

problem

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

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

Dozens

Age

7 to 14

Challenge level

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

problem

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

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.