Number
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Arithmetic
Basic rules of arithmetic, whole numbers, counting numbers, integers, rounding numbers, natural numbers, adding, subtracting, multiplying, dividing
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13
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Decimals
Rounding numbers, significant figures, decimal places, converting fractions to decimals, converting decimals to fractions, rational numbers, reciprocals, expansions of repeating decimals
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6
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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
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6
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Fractions
Improper fractions, mixed numbers, reducing to lowest terms, adding, subtracting, multiplying, dividing and converting fractions, solving equations, equivalent fractions
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6
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Indices
Indices, powers, roots, simplifying equations, Law of Indices, manipulating expressions with the same base
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6
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Algebra
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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
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9
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Algebraic Expressions
New Tests
Simplifying algebraic expressions, algebraic fractions, addition and subtraction of algebraic fractions, expanding algebraic expressions, multiplication and division of algebraic fractions
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6
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Algebraic Fractions
Simplifying algebraic fractions, common factors, factorising, expanding expressions, adding, subtracting, multiplying and dividing algebraic fractions
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6
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Equations
Linear equations - solving equations with one variable, simultaneous equations - equations with two and three variables, rearranging, inverse operations
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9
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Factorisation
Expanding brackets, collecting like terms, factorising, simplifying algebraic expressions, common factor, factorising quadratic equations
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6
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Formulae
Finding value of a variable in a formulae, rearranging formulas to change subject
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3
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Functions
Equation of a straight line, parallel and perpendicular lines, domain of a function, graphs of linear and quadratic functions
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8
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Inequalities
Linear inequalities, algebra with inequalities, graphical inequalities, sketching graphs
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4
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Quadratic Equations
Solving quadratic equations, factorising quadratic equations, completing the square, solving equations by completing the square, solving by quadratic formula
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6
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Sequences
New Tests
Linear, quadratic, Fibonacci, Triangular Numbers sequences, finding the nth term of a linear and quadratic sequence, calculating terms
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6
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Ratio
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Percentages
Percentages, calculating percentages, percentage increases and descreases, percentage of a value, calculating percentage change, changing percentage into decimal
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6
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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
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7
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Geometry and measures
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Angles, Straight Lines
Angles, straight lines, parallel lines, corresponding angles, supplementary and complementary angles
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3
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Areas and Volume
Calculating areas, perimeters and volumes of geometric objects
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5
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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
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6
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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
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12
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Measurements
Converting measurements, convert metric and imperial measurements from one unit to another, convert between metric and imperial measurements
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3
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Triangles
Angles in a triangle, pythagorean theorem, area of a triangle, isosceles and equilateral triangles
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3
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Trigonometry
Trigonometric ratios, sine, cosine, tangent, trigonometric graphs, sine rule, cosine rule
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3
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Probability
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Probability
Finding probability, probability of event not happening, relative frequency
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4
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Statistics
New Tests
Statistics
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6
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