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For younger learners

  • Early Years Foundation Stage

Primary Games and Puzzles for Summer 2021

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

Each weekday from 19 July to 31 August, a new 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 Games and Puzzles for Summer 2021.

Seeing Squares

Age 5 to 11
Challenge Level Yellow 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.

Less Is More

Age 7 to 11
Challenge Level Yellow star

Use your knowledge of place value to try to win this game. How will you maximise your score?

First Connect Three

Age 7 to 11
Challenge Level Yellow 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?

Got It

Age 7 to 14
Challenge Level Yellow starYellow 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.

Junior Frogs

Age 5 to 11
Challenge Level Yellow starYellow star

Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?

Incey Wincey Spider

Age 5 to 7
Challenge Level Yellow star

You'll need two dice to play this game against a partner. Will Incey Wincey make it to the top of the drain pipe or the bottom of the drain pipe first?

Factors and Multiples Game

Age 7 to 16
Challenge Level Yellow star

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

Dicey Operations in Line

Age 7 to 11
Challenge Level Yellow star

Who said that adding, subtracting, multiplying and dividing couldn't be fun?

The Remainders Game

Age 7 to 14
Challenge Level Yellow star

Play this game and see if you can figure out the computer's chosen number.

Countdown

Age 7 to 14
Challenge Level Yellow star

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

Train Tactics

Age 7 to 11
Challenge Level Yellow star

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

Estimating Angles

Age 7 to 14
Challenge Level Yellow star

How good are you at estimating angles?

Treasure Hunt

Age 7 to 14
Challenge Level Yellow star

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

Fruity Totals

Age 7 to 16
Challenge Level Yellow star

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

The Number Jumbler

Age 7 to 14
Challenge Level Yellow star

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

Four Go

Age 7 to 11
Challenge Level Yellow starYellow star

This challenge is a game for two players. Choose two of the numbers to multiply or divide, then mark your answer on the number line. Can you get four in a row?

Dicey Perimeter, Dicey Area

Age 7 to 11
Challenge Level Yellow star

In this game for two players, you throw two dice and find the product. How many shapes can you draw on the grid which have that area or perimeter?

Tug of War

Age 5 to 7
Challenge Level Yellow star

Can you use the numbers on the dice to reach your end of the number line before your partner beats you?

Missing Multipliers

Age 7 to 14
Challenge Level Yellow star

What is the smallest number of answers you need to reveal in order to work out the missing headers?

Play to 37

Age 7 to 11
Challenge Level Yellow star

In this game for two players, the idea is to take it in turns to choose 1, 3, 5 or 7. The winner is the first to make the total 37.

Nice or Nasty

Age 7 to 14
Challenge Level Yellow star

There are nasty versions of this dice game but we'll start with the nice ones...

Board Block Challenge

Age 7 to 11
Challenge Level Yellow starYellow starYellow star

Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?

Strike it Out

Age 5 to 11
Challenge Level Yellow star

Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.

Stop the Clock

Age 5 to 7
Challenge Level Yellow starYellow starYellow star

This is a game for two players. Can you find out how to be the first to get to 12 o'clock?

Shut the Box

Age 5 to 7
Challenge Level Yellow star

An old game but lots of arithmetic!

The Twelve Pointed Star Game

Age 7 to 11
Challenge Level Yellow starYellow star

Have a go at this game which involves throwing two dice and adding their totals. Where should you place your counters to be more likely to win?

Board Block

Age 5 to 7
Challenge Level Yellow star

Take it in turns to make a triangle on the pegboard. Can you block your opponent?

Dotty Six

Age 5 to 11
Challenge Level Yellow star

Dotty Six is a simple dice game that you can adapt in many ways.

Reach 100

Age 7 to 11
Challenge Level Yellow starYellow star

Choose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.

Escape from the Castle

Age 7 to 14
Challenge Level Yellow starYellow star

Skippy and Anna are locked in a room in a large castle. The key to that room, and all the other rooms, is a number. The numbers are locked away in a problem. Can you help them to get out?

A First Product Sudoku

Age 7 to 14
Challenge Level Yellow star

Given the products of adjacent cells, can you complete this Sudoku?

Dicey Addition

Age 5 to 11
Challenge Level Yellow star

Who said that adding couldn't be fun?

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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