![The Number Jumbler](/sites/default/files/styles/medium/public/thumbnails/content-id-14314-icon.jpg?itok=lmDl3Y1w)
problem
The Number Jumbler
The Number Jumbler can always work out your chosen symbol. Can you work out how?
![Consecutive Numbers](/sites/default/files/styles/medium/public/thumbnails/content-97-11-bbprob2-icon.jpg?itok=C_UREbsv)
problem
Consecutive Numbers
An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.
![Dozens](/sites/default/files/styles/medium/public/thumbnails/content-98-03-six2-icon.png?itok=NzwxPabC)
![Your number is...](/sites/default/files/styles/medium/public/thumbnails/content-id-2289-icon.jpg?itok=SZLTZLga)
problem
Your number is...
Think of a number and follow the machine's instructions... I know what your number is! Can you explain how I know?
![Treasure Hunt](/sites/default/files/styles/medium/public/thumbnails/content-id-6288-icon.jpg?itok=2AbCpMXX)
problem
Treasure Hunt
Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?
![Nice or Nasty](/sites/default/files/styles/medium/public/thumbnails/content-id-6605-icon.png?itok=mE0W1xSu)
problem
Nice or Nasty
There are nasty versions of this dice game but we'll start with the nice ones...
![Doughnut percents](/sites/default/files/styles/medium/public/thumbnails/content-id-6945-icon.jpg?itok=KYyqyhQF)
problem
Doughnut percents
A task involving the equivalence between fractions, percentages and decimals which depends on members of the group noticing the needs of others and responding.
![Sieve of Eratosthenes](/sites/default/files/styles/medium/public/thumbnails/content-id-7520-icon.jpg?itok=Lg5WVm6M)
problem
Sieve of Eratosthenes
Follow this recipe for sieving numbers and see what interesting patterns emerge.
![Odds, Evens and More Evens](/sites/default/files/styles/medium/public/thumbnails/content-id-7529-icon.png?itok=9Abf3oXj)
problem
Odds, Evens and More Evens
Alison, Bernard and Charlie have been exploring sequences of odd and even numbers, which raise some intriguing questions...
![Magic Letters](/sites/default/files/styles/medium/public/thumbnails/content-id-7821-icon.png?itok=z67LWboP)
problem
Magic Letters
Charlie has made a Magic V. Can you use his example to make some more? And how about Magic Ls, Ns and Ws?
![Strange Bank Account](/sites/default/files/styles/medium/public/thumbnails/content-id-9923-icon.jpg?itok=z5kDCAKZ)
problem
Strange Bank Account
Imagine a very strange bank account where you are only allowed to do two things...
![Beach Huts](/sites/default/files/styles/medium/public/thumbnails/content-id-11008-icon.png?itok=y7UlgTmV)
![Add to 200](/sites/default/files/styles/medium/public/thumbnails/content-id-11110-icon.png?itok=uXY6xAeD)
![Can you Make 100?](/sites/default/files/styles/medium/public/thumbnails/content-id-11819-icon.jpg?itok=TRBLygmu)
problem
Can you Make 100?
How many ways can you find to put in operation signs (+, −, ×, ÷) to make 100?
![Fractions Rectangle](/sites/default/files/styles/medium/public/thumbnails/content-id-13081-icon.gif?itok=JQcThgju)
problem
Fractions Rectangle
The large rectangle is divided into a series of smaller quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the ten numbered shapes?
![Number Families](/sites/default/files/styles/medium/public/thumbnails/content-id-13123-icon.gif?itok=ed1FCHak)
![Almost One](/sites/default/files/styles/medium/public/thumbnails/content-id-13205-icon.jpg?itok=wClBY0YZ)
![Parallelogram It](/sites/default/files/styles/medium/public/thumbnails/content-id-15164-icon.png?itok=k-5tuPhA)
problem
Parallelogram It
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 parallelogram.
![Have you got it?](/sites/default/files/styles/medium/public/thumbnails/content-02-02-15plus2-icon.gif?itok=ZqujeQid)
![Summing Consecutive Numbers](/sites/default/files/styles/medium/public/thumbnails/content-97-05-six4-icon.png?itok=qriTyABd)
problem
Summing Consecutive Numbers
15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?
![Square It](/sites/default/files/styles/medium/public/thumbnails/content-id-2526-icon.png?itok=ay-_3wou)
problem
Square It
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.
![Odds and Evens](/sites/default/files/styles/medium/public/thumbnails/content-id-4308-icon.png?itok=KWAy0vs5)
![Countdown fractions](/sites/default/files/styles/medium/public/thumbnails/content-id-6564-icon.gif?itok=gMgDY9tV)
problem
Countdown fractions
Here is a chance to play a fractions version of the classic Countdown Game.
![Going round in circles](/sites/default/files/styles/medium/public/thumbnails/content-id-6651-icon.jpg?itok=q7CGjhH3)
problem
Going round in circles
Mathematicians are always looking for efficient methods for solving problems. How efficient can you be?
![Shifting Times Tables](/sites/default/files/styles/medium/public/thumbnails/content-id-6713-icon.png?itok=y_Wtw3Cv)
problem
Shifting Times Tables
Can you find a way to identify times tables after they have been shifted up or down?
![Perimeter Expressions](/sites/default/files/styles/medium/public/thumbnails/content-id-7283-icon.jpg?itok=-UMkUn_O)
problem
Perimeter Expressions
Create some shapes by combining two or more rectangles. What can you say about the areas and perimeters of the shapes you can make?
![Connect Three](/sites/default/files/styles/medium/public/thumbnails/content-id-5864-icon.jpg?itok=wTq5Aiim)
problem
Connect Three
In this game the winner is the first to complete a row of three. Are some squares easier to land on than others?