# GCSE Maths

## GCSE Maths

Category Tests
Number

### Arithmetic

Basic rules of arithmetic, whole numbers, counting numbers, integers, rounding numbers, natural numbers, adding, subtracting, multiplying, dividing

### Decimals

Rounding numbers, significant figures, decimal places, converting fractions to decimals, converting decimals to fractions, rational numbers, reciprocals, expansions of repeating decimals

### Factors

LCM (Lowest Common Multiple), HCF (Highest Common Factor), odd and even numbers, powers, roots, finding factors of a given number, prime numbers, writing number as a product of prime numbers

### Fractions

Improper fractions, mixed numbers, reducing to lowest terms, adding, subtracting, multiplying, dividing and converting fractions, solving equations, equivalent fractions

### Indices

Indices, powers, roots, simplifying equations, Law of Indices, manipulating expressions with the same base

Algebra

### Algebra

Solving equations by substituting values, simplifying equations, collecting like terms, factorising, removing nested brackets, changing subject of a formula and solving simple algebraic equations

### Algebraic Expressions New Tests

Simplifying algebraic expressions, algebraic fractions, addition and subtraction of algebraic fractions, expanding algebraic expressions, multiplication and division of algebraic fractions

### Algebraic Fractions

Simplifying algebraic fractions, common factors, factorising, expanding expressions, adding, subtracting, multiplying and dividing algebraic fractions

### Equations

Linear equations - solving equations with one variable, simultaneous equations - equations with two and three variables, rearranging, inverse operations

### Factorisation

Expanding brackets, collecting like terms, factorising, simplifying algebraic expressions, common factor, factorising quadratic equations

### Formulae

Finding value of a variable in a formulae, rearranging formulas to change subject

### Functions

Equation of a straight line, parallel and perpendicular lines, domain of a function, graphs of linear and quadratic functions

### Inequalities

Linear inequalities, algebra with inequalities, graphical inequalities, sketching graphs

### 4

Solving quadratic equations, factorising quadratic equations, completing the square, solving equations by completing the square, solving by quadratic formula

### Sequences New Tests

Linear, quadratic, Fibonacci, Triangular Numbers sequences, finding the nth term of a linear and quadratic sequence, calculating terms

Ratio

### Percentages

Percentages, calculating percentages, percentage increases and descreases, percentage of a value, calculating percentage change, changing percentage into decimal

### Ratio, Proportion and Scales

Simplifying ratios, ratios as fractions, ratios in different units, reducing ratios, scales, scale factor, calculating values using proportion, time distance and speed formula

### 7

Geometry and measures

### Angles, Straight Lines

Angles, straight lines, parallel lines, corresponding angles, supplementary and complementary angles

### Areas and Volume

Calculating areas, perimeters and volumes of geometric objects

### Circles

Angles within circle, radius and diameter of a circle, arc length, area of a sector, area and circumference of a circle, chords theorem, inscribed triangle and square

### Coordinate Geometry

Coordinate geometry, plot points and shapes, distance between two points, midpoints, equations of a straight line; transformation geometry, reflection across x,y-axis, rotation, enlarge by scale factor

### Measurements

Converting measurements, convert metric and imperial measurements from one unit to another, convert between metric and imperial measurements

### Triangles

Angles in a triangle, pythagorean theorem, area of a triangle, isosceles and equilateral triangles

### Trigonometry

Trigonometric ratios, sine, cosine, tangent, trigonometric graphs, sine rule, cosine rule

Probability

### Probability

Finding probability, probability of event not happening, relative frequency

Statistics