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Year 11

Specialist (Unit 1 & 2)

16 topics
107 subtopics
523+ questions
Algebra
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8 subtopics
40 questions
Indices Standard form Solving linear equations and simultaneous linear equations Solving problems with linear equations Solving problems with simultaneous linear equations +3 more
Number Systems and Sets
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5 subtopics
25 questions
Set notation Sets of numbers Surds Natural numbers Problems involving sets
Trigonometric Ratios and Applications
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6 subtopics
30 questions
Reviewing trigonometry Exact values of sine, cosine and tangent The sine rule The cosine rule Angles of elevation, angles of depression and bearings +1 more
Further Algebra
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5 subtopics
25 questions
Polynomial identities Quadratic equations Applying quadratic equations to rate problems Partial fractions Simultaneous equations
Vectors in the Plane
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8 subtopics
40 questions
Introduction to vectors Components of vectors Polar form of a vector Scalar product of vectors Vector projections +3 more
Principles of counting
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10 subtopics
50 questions
Basic counting methods Factorial notation and permutations Permutations with restrictions Permutations of like objects Combinations +5 more
Number and Proof
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6 subtopics
30 questions
Direct proof Proof by contrapositive Proof by contradiction Equivalent statements Disproving statements +1 more
Geometry in the plane and proof
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10 subtopics
50 questions
Points, lines and angles Triangles and polygons Congruence and proofs Pythagoras theorem Ratios +5 more
Circle Geometry
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3 subtopics
15 questions
Angle properties of circles Tangents Chords in circles
Graphing techniques
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4 subtopics
22 questions
The modulus function Reciprocals of polynomial functions Rational functions Graphing rational functions using calculus
Trigonometric functions
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9 subtopics
45 questions
Defining the trigonometric functions Symmetry properties and the Pythagorean identity Solution of equations involving sine and cosine Transformations of the graphs of sine and cosine The tangent function +4 more
Trigonometric identities
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4 subtopics
17 questions
Reciprocal trigonometric functions and the Pythagorean identity Angle sum and difference identities Simplifying a cos x + b sin x Sums and products of sines and cosines
Complex numbers
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6 subtopics
25 questions
Starting to build the complex numbers Multiplication and division of complex numbers Argand diagrams Solving equations over the complex numbers Polar form of a complex number +1 more
Matrices
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7 subtopics
34 questions
Matrix notation Addition, subtraction and multiplication by a real number Multiplication of matrices Identities, inverses and determinants for 2 x 2 matrices Solution of simultaneous equations using matrices +2 more
Transformations of the plane
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8 subtopics
39 questions
Linear transformations Geometric transformations Rotations and general reflections Composition of transformations Inverse transformations +3 more
Further graphing techniques
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8 subtopics
36 questions
Locus of points Parabolas Ellipses Hyperbolas Parametric equations +3 more