See also: Matching titles (5)
141 problems, 6 games, 17 articles, 15 general resources, 4 interactive environments, 42 from Stage 1, 62 from Stage 2, 58 from Stage 3, 48 from Stage 4, 21 from Stage 5
Turning Man
Stage: 1 Challenge Level: 
Use the interactivity to find out how many quarter turns the man must rotate through to look like each of the pictures.
Interactive Spinners
Stage: 3 and 4 Challenge Level:
This interactivity invites you to make conjectures and explore probabilities of outcomes related to two independent events.
More Magic Potting Sheds
Stage: 3 Challenge Level:
The number of plants in Mr McGregor's magic potting shed increases overnight. He'd like to put the same number of plants in each of his gardens, planting one garden each day. How can he do it?
Factor Lines
Stage: 2 Challenge Level:
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
More Carroll Diagrams
Stage: 2 Challenge Level:
How have the numbers been placed in this Carroll diagram? Which labels would you put on each row and column?
Which Spinners?
Stage: 3 Challenge Level:
Which spinners were used to generate these frequency charts?
Remainders
Stage: 3 Challenge Level:
I'm thinking of a number. When my number is divided by 5 the remainder is 4. When my number is divided by 3 the remainder is 2. Can you find my number?
Sizing Them Up
Stage: 1 Challenge Level:
Can you put these shapes in order of size? Start with the smallest.
A Square of Numbers
Stage: 2 Challenge Level:
Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?
The Remainders Game
Stage: 2 and 3 Challenge Level:
A game that tests your understanding of remainders.
Find the Difference
Stage: 1 Challenge Level:
Place the numbers 1 to 6 in the circles so that each number is the difference between the two numbers just below it.
Tessellation Interactivity
Stage: 2, 3 and 4 Challenge Level:
An environment that enables you to investigate tessellations of regular polygons
Steady Free Fall
Stage: 4 Challenge Level:
Can you adjust the curve so the bead drops with near constant vertical velocity?
Shuffles Tutorials
Stage: 3
Learn how to use the Shuffles interactivity by running through these tutorial demonstrations.
Motion Capture
Stage: 3 and 4 Challenge Level:
Explore displacement/time and velocity/time graphs with this mouse motion sensor.
Data Collection Tool
Stage: 3 and 4 Challenge Level:
An interactivity that enables you collect data from an experiment with true/false outcomes.
Sort the Street
Stage: 1 Challenge Level:
Sort the houses in my street into different groups. Can you do it any other ways?
Picturing Square Numbers
Stage: 3 Challenge Level:
Square numbers can be represented as the sum of consecutive odd numbers. What is the sum of 1 + 3 + ..... + 149 + 151 + 153?
Matching Triangles
Stage: 1 Challenge Level:
Can you sort these triangles into three different families and explain how you did it?
Is There a Theorem?
Stage: 3 Challenge Level:
Draw a square. A second square of the same size slides around the first always maintaining contact and keeping the same orientation. How far does the dot travel?
Angle Trisection
Stage: 4 Challenge Level:
It is impossible to trisect an angle using only ruler and compasses but it can be done using a carpenter's square.
Cycling Squares
Stage: 2 Challenge Level:
Can you make a cycle of pairs that add to make a square number using all the numbers in the box below, once and once only?
Odds or Sixes?
Stage: 2 Challenge Level:
Use the interactivity or play this dice game yourself. How could you make it fair?
Repeating Patterns
Stage: 1 Challenge Level:
Try continuing these patterns made from triangles. Can you create your own repeating pattern?
Odds and Evens
Stage: 2 and 3 Challenge Level:
Which of these sets of numbered balls will give the most even totals when two balls are chosen from them?
Archery
Stage: 3 Challenge Level:
Imagine picking up a bow and some arrows and attempting to hit the target a few times. Can you work out the settings for the sight that give you the best chance of gaining a high score?
Nine-pin Triangles
Stage: 2 Challenge Level:
How many different triangles can you make on a circular pegboard that has nine pegs?
Interactive Number Patterns
Stage: 4 Challenge Level:
How good are you at finding the formula for a number pattern ?
Share Bears
Stage: 1 Challenge Level:
Yasmin and Zach have some bears to share. Which numbers of bears can they share so that there are none left over?
Number Balance
Stage: 1 Challenge Level:
Can you hang weights in the right place to make the equaliser balance?
Sheffuls
Stage: 4 Challenge Level:
Discover a handy way to describe reorderings and solve our anagram in the process.
Points in Pairs
Stage: 4 Challenge Level:
In the diagram the radius length is 10 units, OP is 8 units and OQ is 6 units. If the distance PQ is 5 units what is the distance P'Q' ?
Rollin' Rollin' Rollin'
Stage: 3 Challenge Level:
Two circles of equal radius kiss at P. One circle is fixed whilst the other moves, rolling without slipping, all the way round. How many times does the moving coin revolve before returning to P?
Venn Diagrams
Stage: 1 and 2 Challenge Level:
Use the interactivities to complete these Venn diagrams.
Isosceles Triangles
Stage: 3 Challenge Level:
Draw some isosceles triangles with an area of 9 cm squared and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?
Graphical Interpretation
Stage: 4 Challenge Level:
This set of resources for teachers offers interactive environments to support work on graphical interpretation at Key Stage 4.
Balancing 1
Stage: 3 Challenge Level:
Meg and Mo need to hang their marbles so that they balance. Use the interactivity to experiment and find out what they need to do.
Cuisenaire Counting
Stage: 1 Challenge Level:
Here are some rods that are different colours. A dark green rod is 6 units. How could I make 6 using 1s and 2s?
Square It
Stage: 1, 2, 3 and 4 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.
Square Coordinates
Stage: 3 Challenge Level:
A tilted square is a square with no horizontal sides. Can you devise a general instruction for the construction of a square when you are given just one of its sides?
Lost
Stage: 3 Challenge Level:
Can you locate the lost giraffe? Input coordinates to help you search and find the giraffe in the fewest guesses.
Speeding Up, Slowing Down
Stage: 3 Challenge Level:
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the red dot affects its speed at each stage.
Cops and Robbers
Stage: 2 and 3 Challenge Level:
Can you find a reliable strategy for choosing coordinates that will locate the robber in the minimum number of guesses?
Triangles in Circles
Stage: 3 Challenge Level:
How many different triangles can you make which consist of the centre point and two of the points on the edge? Can you work out each of their angles?
Cushion Ball Interactivity
Stage: 4 Challenge Level:
The interactive diagram has two labelled points, A and B. It is designed to be used with the problem "Cushion Ball"
How Far Does it Move?
Stage: 3 Challenge Level:
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the red dot affects the distance it travels at each stage.
Growing Garlic
Stage: 1 Challenge Level:
Ben and his mum are planting garlic. Use the interactivity to help you find out how many cloves of garlic they might have had.
Copyright © 2007. University of Cambridge. All rights reserved.
NRICH is part of the family of activities in the Millennium Mathematics Project, which also includes the Plus and Motivate sites.
email: nrich@damtp.cam.ac.uk
