Cambridge IGCSE Mathematics Syllabus Overview

A triangle with all three sides equal in length.

A triangle with two sides equal in length.

A triangle with all three sides of different lengths.

A closed shape formed by straight line segments that do not cross over.

A flat shape that can be folded to make a solid shape.

A visual representation of numbers arranged in order, often used to depict inequalities.

A mathematical statement comparing two expressions, where one is either greater than, less than, greater than or equal to, or less than or equal to the other.

A solution to a linear inequality is a value that makes the inequality true.

A graph that represents a linear inequality, with a line separating the values that satisfy the inequality from those that don't.

A linear inequality where the variable can take on any value within a specified range.

Expressing a number to a specific level of precision, typically by reducing the number of digits or rounding.

A specific degree of accuracy, referring to the number of digits used in a value.

The process of finding an approximate value for a calculation, often using rounding to make the calculation easier.

A numerical value that represents the largest possible value a rounded number could have.

A numerical value that represents the smallest possible value a rounded number could have.

A comparison of two quantities of the same kind.

Expressing quantities in direct proportion to each other, scaling up or down in a consistent way.

Numbers that can be written as a ratio of two integers, such as 1/2, 3/4, or 5/8.

Numbers that represent a part of a whole, written with a decimal point, such as 0.5, 0.75, or 0.125.

A way to compare the size of two quantities using symbols like: = (equal to), ≠ (not equal to), > (greater than), < (less than), ⩾ (greater than or equal to), and ⩽ (less than or equal to).

The four basic mathematical operations: addition (+), subtraction (-), multiplication (×), and division (÷).

Fractions where the numerator is larger than or equal to the denominator, such as 5/4 or 7/3.

A combination of a whole number and a proper fraction, such as 1 1/2 or 2 3/4.

A way to express numbers using a base number raised to a power, where the power indicates how many times the base is multiplied by itself.

A way to represent very large or very small numbers using a coefficient between 1 and 10 multiplied by a power of 10.

An expression that represents the product of two consecutive even numbers. For example, if the first even number is represented by 'x', then the next consecutive even number is 'x + 2'. Their product would be x(x + 2).

A mathematical equation that involves only one unknown variable, raised to the power of 1. It can be solved by isolating the variable on one side of the equation using operations such as addition, subtraction, multiplication, and division.

An equation that involves fractions where the denominator contains both numerical and algebraic terms. To solve them, you need to find a common denominator for all the fractions and then simplify the equation.

A set of two or more equations that involve two or more unknown variables. The goal is to find values for each variable that satisfy all the equations simultaneously.

A set of equations that involve one linear equation and one non-linear equation. Non-linear equations contain variables raised to powers other than 1, such as squares or square roots.

An equation where the highest power of the unknown variable is 2. It can be solved by various methods, including factoring, completing the square, and using the quadratic formula. Solutions can involve real numbers, including irrational numbers.

Expressing a formula in terms of a different variable. This involves manipulating the formula algebraically to isolate the new subject variable on one side of the equation.

Representing and interpreting inequalities on a number line. Inequalities involve comparisons between values using symbols such as '>' (greater than), '<' (less than), '≥' (greater than or equal to), and '≤' (less than or equal to).

A drawing that represents an object with accurate proportions but scaled down or up.

A three-figure bearing is an angle measured clockwise from north, starting at 000° and going up to 360°.

Shapes with the same angles but different sizes are similar. The corresponding sides are in the same ratio.

The line of symmetry divides a shape into two identical halves that mirror each other.

The order of rotational symmetry tells you how many times a shape fits perfectly onto itself in one full rotation.

Angles within a triangle add up to 180°. Angles at a point add up to 360°. Angles on a straight line add up to 180°. Vertically opposite angles are equal.

A flat shape that can be folded to make a 3D shape.

The amount of space a 3D shape occupies.