These upper primary activities and games have interactive content. Have a play on a laptop, tablet or computer!
game
Sliding Game
A shunting puzzle for 1 person. Swop the positions of the counters at the top and bottom of the board.
game
Fractions and Coins Game
Calculate the fractional amounts of money to match pairs of cards with the same value.
game
Seeing Squares for Two
Seeing Squares game for an adult and child. Can you come up with a way of always winning this game?
game
Phiddlywinks
Have a go at this version of John Conway's game. Do you have any good strategies for winning?
interactivity
Tessellation interactivity
An environment that enables you to investigate tessellations of
regular polygons
interactivity
Tangram Browser
Explore our selection of interactive tangrams. Can you use the tangram pieces to re-create each picture?
interactivity
Interactive Balance
In this simulation of a balance, you can drag numbers and parts of number sentences on to the trays. Have a play!
problem
Tangrams
Age
5 to 11
Challenge level
Can you make five differently sized squares from the interactive tangram pieces?
problem
Favourite
5 by 5 Mathdokus
Age
7 to 16
Challenge level
Can you use the clues to complete these 5 by 5 Mathematical Sudokus?
problem
Favourite
4 by 4 Mathdokus
Age
7 to 14
Challenge level
Can you use the clues to complete these 4 by 4 Mathematical Sudokus?
problem
Favourite
Less is More
Age
7 to 11
Challenge level
Use your knowledge of place value to try to win this game. How will you maximise your score?
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
Favourite
Always, Sometimes or Never? Shape
Age
7 to 11
Challenge level
Are these statements always true, sometimes true or never true?
problem
Calendar Sorting
Age
7 to 11
Challenge level
The pages of my calendar have got mixed up. Can you sort them out?
problem
How long does it take?
Age
7 to 11
Challenge level
How long does it take to brush your teeth? Can you find the matching length of time?
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
Four-digit targets
Age
7 to 11
Challenge level
You have two sets of the digits 0-9. Can you arrange these in the five boxes to make four-digit numbers as close to the target numbers as possible?
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
Multiplication Square Jigsaw
Age
7 to 11
Challenge level
Can you complete this jigsaw of the multiplication square?
problem
Square tangram
Age
7 to 11
Challenge level
This was a problem for our birthday website. Can you use four of these pieces to form a square? How about making a square with all five pieces?
problem
Diagonally Square
Age
7 to 11
Challenge level
Ayah conjectures that the diagonals of a square meet at right angles. Do you agree? How could you find out?
problem
Mathdoku
Age
7 to 11
Challenge level
Complete the Mathdoku grid using the clues. Can you convince us that the number you have chosen for each square has to be correct?
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
Matching Fractions, Decimals and Percentages
Age
7 to 14
Challenge level
Can you match pairs of fractions, decimals and percentages, and beat your previous scores?
problem
Favourite
Multiplication Tables - matching cards
Age
5 to 11
Challenge level
Practise your tables skills and try to beat your previous best score in this interactive game.
problem
Flip Flop - matching cards
Age
5 to 11
Challenge level
Practise your number bonds whilst improving your memory in this matching pairs game.
problem
Favourite
Factor Lines
Age
7 to 14
Challenge level
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
problem
Colour in the Square
Age
7 to 16
Challenge level
Can you put the 25 coloured tiles into the 5 x 5 square so that no column, no row and no diagonal line have tiles of the same colour in them?
problem
Favourite
Which Scripts?
Age
7 to 11
Challenge level
There are six numbers written in five different scripts. Can you sort out which is which?
problem
Favourite
Dozens
Age
7 to 14
Challenge level
Can you select the missing digit(s) to find the largest multiple?
problem
Number Sandwiches
Age
7 to 14
Challenge level
Can you arrange the digits 1, 1, 2, 2, 3 and 3 to make a Number Sandwich?
problem
Favourite
4 Dom
Age
5 to 11
Challenge level
Use these four dominoes to make a square that has the same number of dots on each side.
problem
Three Way Mix Up
Age
5 to 11
Challenge level
Jack has nine tiles. He put them together to make a square so that two tiles of the same colour were not beside each other. Can you find another way to do it?
problem
Ladybird Box
Age
5 to 11
Challenge level
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
problem
Tea Cups
Age
7 to 14
Challenge level
Place the 16 different combinations of cup/saucer in this 4 by 4 arrangement so that no row or column contains more than one cup or saucer of the same colour.
problem
Favourite
Mystery Matrix
Age
7 to 11
Challenge level
Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.
problem
Favourite
Triangles all Around
Age
7 to 11
Challenge level
Can you find all the different triangles on these peg boards, and find their angles?
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
3 by 3 Mathdokus
Age
7 to 14
Challenge level
Can you use the clues to complete these 3 by 3 Mathematical Sudokus?
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
Unravelling Sequences
Age
7 to 11
Challenge level
Can you describe what is happening as this program runs? Can you unpick the steps in the process?
problem
Triangle in a Square
Age
7 to 11
Challenge level
Do you agree with Badger's statements? Is Badger's reasoning watertight? Why or why not?
problem
Favourite
An Easy Way to Multiply by 10?
Age
7 to 11
Challenge level
Do you agree with Badger's statements? Is Badger's reasoning 'watertight'? Why or why not?
problem
Dotty Circle
Age
7 to 11
Challenge level
Watch this film carefully. Can you find a general rule for
explaining when the dot will be this same distance from the
horizontal axis?
problem
Triangle Pin-Down
Age
7 to 11
Challenge level
Use the interactivity to investigate what kinds of triangles can be
drawn on peg boards with different numbers of pegs.
problem
Arrangements
Age
7 to 11
Challenge level
Is it possible to place 2 counters on the 3 by 3 grid so that there
is an even number of counters in every row and every column? How
about if you have 3 counters or 4 counters or....?
problem
Favourite
A Square of Numbers
Age
7 to 11
Challenge level
Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?
problem
Favourite
1, 2, 3 Magic Square
Age
7 to 11
Challenge level
Arrange three 1s, three 2s and three 3s in this square so that
every row, column and diagonal adds to the same total.
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
Favourite
Missing Multipliers
Age
7 to 14
Challenge level
What is the smallest number of answers you need to reveal in order to work out the missing headers?
problem
Junior Frogs
Age
5 to 11
Challenge level
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
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
Rod Ratios
Age
7 to 11
Challenge level
Use the Cuisenaire rods environment to investigate ratio. Can you find pairs of rods in the ratio 3:2?
problem
Cuisenaire Squares
Age
7 to 11
Challenge level
These squares have been made from Cuisenaire rods. Can you describe the pattern? What would the next square look like?
problem
Rearranged Rectangle
Age
7 to 11
Challenge level
How many different rectangles can you make using this set of rods?
problem
Rod Fractions
Age
7 to 14
Challenge level
Pick two rods of different colours. Given an unlimited supply of rods of each of the two colours, how can we work out what fraction the shorter rod is of the longer one?
problem
Board Block Challenge for Two
Age
7 to 11
Challenge level
Board Block Challenge game for an adult and child. Can you prevent your partner from being able to make a shape?
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
More Transformations on a Pegboard
Age
7 to 11
Challenge level
Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.
problem
Favourite
Transformations on a Pegboard
Age
7 to 11
Challenge level
How would you move the bands on the pegboard to alter these shapes?
problem
Geoboards
Age
7 to 11
Challenge level
This practical challenge invites you to investigate the different
squares you can make on a square geoboard or pegboard.
problem
Flip
Age
7 to 11
Challenge level
Can you picture where this letter "F" will be on the grid if you
flip it in these different ways?
problem
Difference
Age
7 to 11
Challenge level
Place the numbers 1 to 10 in the circles so that each number is the
difference between the two numbers just below it.
problem
Favourite
Times Tables Shifts
Age
7 to 11
Challenge level
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
interactivity
Red or Black Spinner
A simple spinner that is equally likely to land on Red or Black. Useful if tossing a coin, dropping it, and rummaging about on the floor have lost their appeal. Needs a modern browser; if IE then at least version 9.
problem
Favourite
Light the Lights Again
Age
7 to 11
Challenge level
Each light in this interactivity turns on according to a rule. What happens when you enter different numbers? Can you find the smallest number that lights up all four lights?
problem
Magic Crosses
Age
7 to 14
Challenge level
Can you find examples of magic crosses? Can you find all the possibilities?
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
Celebrate 25 Years of NRICH
To celebrate NRICH's 25th birthday, why not play this special version of our classic game, Got It? Can you devise a strategy so that you will always win?
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
First Connect Three for Two
First Connect Three game for an adult and child. Use the dice numbers and either addition or subtraction to get three numbers in a straight line.
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.
problem
Favourite
Fractional Triangles
Age
7 to 11
Challenge level
Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.
problem
Favourite
Twice as Big?
Age
7 to 11
Challenge level
Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.
problem
Favourite
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
Favourite
Growing Garlic
Age
5 to 11
Challenge level
Ben and his mum are planting garlic. Can you find out how many cloves of garlic they might have had?
problem
Favourite
Venn diagrams
Age
5 to 11
Challenge level
How will you complete these interactive Venn diagrams?
game
Favourite
The Remainders Game
Play this game and see if you can figure out the computer's chosen number.
problem
Favourite
Three Squares
Age
5 to 11
Challenge level
What is the greatest number of squares you can make by overlapping three squares?
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
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
World of Tan 1 - Granma T
Age
7 to 11
Challenge level
Can you fit the tangram pieces into the outline of Granma T?
problem
World of Tan 10 - Butterflies
Age
7 to 11
Challenge level
Can you fit the tangram pieces into the outline of the butterfly?
problem
World of Tan 11 - The past, present and future
Age
7 to 11
Challenge level
Can you fit the tangram pieces into the outlines of the telescope and microscope?
problem
World of Tan 12 - All in a fluff
Age
7 to 11
Challenge level
Can you fit the tangram pieces into the outlines of the rabbits?
problem
World of Tan 13 - A Storm in a Tea Cup
Age
7 to 11
Challenge level
Can you fit the tangram pieces into the outlines of the convex shapes?
problem
World of Tan 14 - Celebrations
Age
7 to 11
Challenge level
Can you fit the tangram pieces into the outlines of Little Ming and Little Fung dancing?
problem
World of Tan 15 - Millennia
Age
7 to 11
Challenge level
Can you fit the tangram pieces into the outlines of the numbers?
problem
World of Tan 16 - Time Flies
Age
7 to 11
Challenge level
Can you fit the tangram pieces into the outline of the candle?
problem
World of Tan 17 - Weather
Age
7 to 11
Challenge level
Can you fit the tangram pieces into the outline of the house?
problem
World of Tan 18 - Soup
Age
7 to 11
Challenge level
Can you fit the tangram pieces into the outlines of Mah Ling and Chi Wing?
problem
World of Tan 19 - A Circular Problem
Age
7 to 11
Challenge level
Can you fit the tangram pieces into the outline of this teacup?
Older upper primary Flash-based interactives
The activities below are older resources which require Flash in order to run.No results found