Being Collaborative

Being Collaborative is part of our Developing Mathematical Habits of Mind collection.

Good thinkers collaborate and communicate. They work productively with other people, valuing different points of view. They are willing to change their mind when presented with convincing arguments. They know when to seek help, when to support others, when to speak up and when to compromise.

Want to become better at collaborating mathematically?

These problems are ideal for working on with others. Find a friend, share ideas, and see if two heads really are better than one!

You can browse through the Number, Algebra, Geometry or Statistics collections, or scroll down to see the full set of problems below.
Challenge Level: Challenge Level:1

Being Collaborative - Number

Number problems to work on with others.

Challenge Level: Challenge Level:1

Being Collaborative - Algebra

Algebra problems to work on with others.

Challenge Level: Challenge Level:1

Being Collaborative - Geometry

Geometry problems to work on with others.

Challenge Level: Challenge Level:1

Being Collaborative - Statistics

Statistics problems to work on with others.

American Billions

KS 3 Challenge Level:

Challenge Level:1

Play the divisibility game to create numbers in which the first two digits make a number divisible by 2, the first three digits make a number divisible by 3...

What's it Worth?

KS 3 & 4 Challenge Level:

Challenge Level:1

There are lots of different methods to find out what the shapes are worth - how many can you find?

Estimating Angles

KS 2, 3 & 4 Challenge Level:

Challenge Level:1

How good are you at estimating angles?

Got It

KS 2 & 3 Challenge Level:

Challenge Level:2 Challenge Level:2

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.

Quadrilaterals Game

KS 3 Challenge Level:

Challenge Level:1

A game for 2 or more people, based on the traditional card game Rummy. Players aim to make two `tricks', where each trick has to consist of a picture of a shape, a name that describes that shape, and two properties of the shape.

Shapely Pairs

KS 3 Challenge Level:

Challenge Level:3 Challenge Level:3 Challenge Level:3

A game in which players take it in turns to turn up two cards. If they can draw a triangle which satisfies both properties they win the pair of cards. And a few challenging questions to follow...

Property Chart

KS 3 Challenge Level:

Challenge Level:2 Challenge Level:2

A game in which players take it in turns to try to draw quadrilaterals (or triangles) with particular properties. Is it possible to fill the game grid?

Transformation Game

KS 3 Challenge Level:

Challenge Level:2 Challenge Level:2

Why not challenge a friend to play this transformation game?

Factors and Multiples Game

KS 2, 3 & 4 Challenge Level:

Challenge Level:1

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

Diamond Collector

KS 3 Challenge Level:

Challenge Level:1

Collect as many diamonds as you can by drawing three straight lines.

Playing Connect Three

KS 3 Challenge Level:

Challenge Level:2 Challenge Level:2

In this game the winner is the first to complete a row of three. Are some squares easier to land on than others?

First Connect Three

KS 2 & 3 Challenge Level:

Challenge Level:2 Challenge Level:2

The idea of this game is to add or subtract the two numbers on the dice and cover the result on the grid, trying to get a line of three. Are there some numbers that are good to aim for?

All in a Jumble

KS 3 Challenge Level:

Challenge Level:2 Challenge Level:2

My measurements have got all jumbled up! Swap them around and see if you can find a combination where every measurement is valid.

Reflecting Lines

KS 3 Challenge Level:

Challenge Level:1

Investigate what happens to the equations of different lines when you reflect them in one of the axes. Try to predict what will happen. Explain your findings.

Translating Lines

KS 3 Challenge Level:

Challenge Level:1

Investigate what happens to the equation of different lines when you translate them. Try to predict what will happen. Explain your findings.

Surprising Transformations

KS 4 Challenge Level:

Challenge Level:2 Challenge Level:2

I took the graph y=4x+7 and performed four transformations. Can you find the order in which I could have carried out the transformations?

How Would You Score It?

KS 3 Challenge Level:

Challenge Level:1

Invent a scoring system for a 'guess the weight' competition.

Sociable Cards

KS 3 Challenge Level:

Challenge Level:1

Move your counters through this snake of cards and see how far you can go. Are you surprised by where you end up?

What Does Random Look Like?

KS 3 Challenge Level:

Challenge Level:1

Engage in a little mathematical detective work to see if you can spot the fakes.

Olympic Records

KS 3 Challenge Level:

Challenge Level:1

Can you deduce which Olympic athletics events are represented by the graphs?

What's That Graph?

KS 4 Challenge Level:

Challenge Level:1

Can you work out which processes are represented by the graphs?

Magic Letters

KS 3 Challenge Level:

Challenge Level:1

Charlie has made a Magic V. Can you use his example to make some more? And how about Magic Ls, Ns and Ws?

Constructing Triangles

KS 3 Challenge Level:

Challenge Level:1

Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?

Olympic Measures

KS 3 Challenge Level:

Challenge Level:1

These Olympic quantities have been jumbled up! Can you put them back together again?

Up, Down, Flying Around

KS 3 Challenge Level:

Challenge Level:1

Play this game to learn about adding and subtracting positive and negative numbers

Picturing the World

KS 3 Challenge Level:

Challenge Level:1

How can we make sense of national and global statistics involving very large numbers?

Perception Versus Reality

KS 4 & 5 Challenge Level:

Challenge Level:1

Infographics are a powerful way of communicating statistical information. Can you come up with your own?

Box Plot Match

KS 4 Challenge Level:

Challenge Level:1

Match the cumulative frequency curves with their corresponding box plots.