Age 5 to 11
Challenge Level
Being Resourceful - Primary Number
Number problems at primary level that require careful consideration.
Age 5 to 11
Challenge Level
Being Resourceful - Primary Measures
Measure problems at primary level that require careful consideration.
Age 5 to 11
Challenge Level
Being Resourceful - Primary Geometry
Geometry problems at primary level that require careful consideration.
Age 5 to 11
Challenge Level
Being Resourceful - Primary Statistics
Statistics problems at primary level that require careful consideration.
The Animals' Sports Day
Age 5 to 7
Challenge Level
One day five small animals in my garden were going to have a sports day. They decided to have a swimming race, a running race, a high jump and a long jump.
Ladybird Count
Age 5 to 7
Challenge Level
Some children were playing a game. Make a graph or picture to show how many ladybirds each child had.
Repeating Patterns
Age 5 to 7
Challenge Level
Try continuing these patterns made from triangles. Can you create your own repeating pattern?
Turning Man
Age 5 to 7
Challenge Level
Use the interactivity to find out how many quarter turns the man must rotate through to look like each of the pictures.
Wallpaper
Age 5 to 7
Challenge Level
These pieces of wallpaper need to be ordered from smallest to largest. Can you find a way to do it?
Eggs in Baskets
Age 5 to 7
Challenge Level
There are three baskets, a brown one, a red one and a pink one, holding a total of 10 eggs. How many eggs are in each basket?
Heads and Feet
Age 5 to 7
Challenge Level
On a farm there were some hens and sheep. Altogether there were 8 heads and 22 feet. How many hens were there?
The Tall Tower
Age 5 to 7
Challenge Level
As you come down the ladders of the Tall Tower you collect useful spells. Which way should you go to collect the most spells?
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?
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.
Dotty Six
Age 5 to 11
Challenge Level
Dotty Six is a simple dice game that you can adapt in many ways.
4 Dom
Age 5 to 16
Challenge Level
Use these four dominoes to make a square that has the same number of dots on each side.
Shape Times Shape
Age 7 to 11
Challenge Level
These eleven shapes each stand for a different number. Can you use the number sentences to work out what they are?
A Puzzling Cube
Age 7 to 11
Challenge Level
Here are the six faces of a cube - in no particular order. Here are three views of the cube. Can you deduce where the faces are in relation to each other and record them on the net of this cube?
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?
Play to 37
Age 7 to 11
Challenge Level
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.
Square Corners
Age 7 to 11
Challenge Level
What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?
Cows and Sheep
Age 7 to 11
Challenge Level
Use your logical reasoning to work out how many cows and how many sheep there are in each field.
Torn Shapes
Age 7 to 11
Challenge Level
These rectangles have been torn. How many squares did each one have inside it before it was ripped?
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?
Magic Vs
Age 7 to 11
Challenge Level
Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?
Dicey Operations in Line
Age 7 to 11
Challenge Level
Who said that adding, subtracting, multiplying and dividing couldn't be fun?
Satisfying Four Statements
Age 7 to 11
Challenge Level
Can you find any two-digit numbers that satisfy all of these statements?
Four Go
Age 7 to 11
Challenge Level
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?
Cut Nets
Age 7 to 11
Challenge Level
Each of the nets of nine solid shapes has been cut into two pieces. Can you see which pieces go together?
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.
Through the Window
Age 7 to 11
Challenge Level
My local DIY shop calculates the price of its windows according to the area of glass and the length of frame used. Can you work out how they arrived at these prices?
Sealed Solution
Age 7 to 11
Challenge Level
Ten cards are put into five envelopes so that there are two cards in each envelope. The sum of the numbers inside it is written on each envelope. What numbers could be inside the envelopes?
Sponge Sections
Age 7 to 11
Challenge Level
You have been given three shapes made out of sponge: a sphere, a cylinder and a cone. Your challenge is to find out how to cut them to make different shapes for printing.
Twenty Divided Into Six
Age 7 to 11
Challenge Level
Katie had a pack of 20 cards numbered from 1 to 20. She arranged the cards into 6 unequal piles where each pile added to the same total. What was the total and how could this be done?
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?
The Remainders Game
Age 7 to 14
Challenge Level
Play this game and see if you can figure out the computer's chosen number.
Nice or Nasty
Age 7 to 14
Challenge Level
There are nasty versions of this dice game but we'll start with the nice ones...
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?
Eight Hidden Squares
Age 7 to 14
Challenge Level
On the graph there are 28 marked points. These points all mark the vertices (corners) of eight hidden squares. Can you find the eight hidden squares?
Baravelle
Age 7 to 16
Challenge Level
What can you see? What do you notice? What questions can you ask?
NRICH is part of the family of activities in the Millennium Mathematics Project.