
The remainders game
Play this game and see if you can figure out the computer's chosen number.

Consecutive numbers
An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.


The Number Jumbler
The Number Jumbler can always work out your chosen symbol. Can you work out how?


Missing multipliers
What is the smallest number of answers you need to reveal in order to work out the missing headers?

Sealed solution
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?

Two and two
How many solutions can you find to this sum? Each of the different letters stands for a different number.

An equilateral triangular problem
Take an equilateral triangle and cut it into smaller pieces. What can you do with them?

Can you make 100?
How many ways can you find to put in operation signs (+, −, ×, ÷) to make 100?

Shape products
These eleven shapes each stand for a different number. Can you use the multiplication sums to work out what they are?

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?


Number daisy
Can you find six numbers to go in the Daisy from which you can make all the numbers from 1 to a number bigger than 25?

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.

Reflecting squarely
In how many ways can you fit all three pieces together to make shapes with line symmetry?

Shady symmetry
How many different symmetrical shapes can you make by shading triangles or squares?

Number pyramids
Try entering different sets of numbers in the number pyramids. How does the total at the top change?

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.

Consecutive seven
Can you arrange these numbers into 7 subsets, each of three numbers, so that when the numbers in each are added together, they make seven consecutive numbers?

Substitution cipher
Find the frequency distribution for ordinary English, and use it to help you crack the code.

Factors and multiples puzzle
Using your knowledge of the properties of numbers, can you fill all the squares on the board?

M, M and M
If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?

Multiples Sudoku
Each clue in this Sudoku is the product of the two numbers in adjacent cells.

Sticky numbers
Can you arrange the numbers 1 to 17 in a row so that each adjacent pair adds up to a square number?

Going round in circles
Mathematicians are always looking for efficient methods for solving problems. How efficient can you be?

Shifting times tables
Can you find a way to identify times tables after they have been shifted up or down?

Changing areas, changing perimeters
How can you change the area of a shape but keep its perimeter the same? How can you change the perimeter but keep the area the same?

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?


Perimeter possibilities
I'm thinking of a rectangle with an area of 24. What could its perimeter be?

About average
Can you find sets of numbers which satisfy each of our mean, median, mode and range conditions?





On the edge
If you move the tiles around, can you make squares with different coloured edges?

Squares in rectangles
A 2 by 3 rectangle contains 8 squares and a 3 by 4 rectangle contains 20 squares. What size rectangle(s) contain(s) exactly 100 squares? Can you find them all?