Age 11-12
In an arithmagon, the number in a square is the sum of the numbers in the two circles on either side of it. What could the letters be? Find relationships between the letters. There are many possible solutions for the arithmagons. The answer sheet will give one set of solutions.

Sum puzzle

Age 11-12

Solve simple equations

Work out what number each shape represents (positive numbers)
Work out what number each shape represents (positive and negative numbers)
Work out the value of each letter (positive numbers)

Pyramid equations
Age 12-14
In each pyramid each number is the sum of the two numbers immediately below. Find the value of n

Pyramid 1 positive whole number solutions

Pyramid 2 positive and negative whole number solutions

Pyramid 3
positive whole number solutions.

Pyramid 4
positive and negative whole number solutions

Pyramid 5 positive whole number solutions

Pyramid 6 positive and negative whole number solution

Square equations
Age 12-14
Work out the value of a and b so that each row and column adds up to the required total.

Square equations 1: positive whole number solutions.

Square equations 2: positive and negative whole number solutions.

Linear equations
Age 11-13

Type 1

Type 2

Type 3

Type 4

Age 11-14
What numbers are hidden?

Two or three rows of polygon people are shown. Two numbers are hidden behind the shape people: one behind the triangle and one behind the circle. What are the hidden numbers?
Shape people and simultaneous equations (2 rows)
Shape people and simultaneous equations (3 rows)

Age 14-16
Traditional simultaneous equations

Simultaneous equations generator

Click on the four option buttons to generate new simultaneous equations:
1. Positive answers and coefficients of x and y
2. Positive and negative answers and positive coefficients of x and y
3. Positive answers and positive and negative coefficients of x and y
4. Positive and negative answers and coefficients of x and y

Age 14-16

Solve quadratic equations
eg: x² + 3x - 10 = 0

Age 12-13

I think of a number n. Write algebraic expressions.
Algebraic expressions

Substitute numbers into expressions.
Age 12-13

Substitute positive numbers

Substitute positive and negative numbers