#### Maths Year 12

studyif offers hundreds of year 12 maths skills to explore and learn! Not sure where to start? Go to your personalised Recommendations wall and choose a skill that looks interesting!

Equations
1.1 Solve linear equations Quiz
1.2 Solve linear equations: word problems Quiz
1.3 Solve absolute value equations Quiz

Inequalities
2.1 Write inequalities from graphs Quiz
2.2 Write a linear inequality: word problems Quiz
2.3 Solve linear inequalities Quiz
2.4 Solve absolute value inequalities Quiz
2.5 Characteristics of quadratic functions Quiz

Functions
3.1 Domain and range Quiz
3.2 Identify functions Quiz
3.3 Evaluate functions Quiz
3.4 Find values using function graphs Quiz
3.5 Complete a table for a function graph Quiz
3.6 Find the gradient of a linear function Quiz
3.7 Write linear equations in standard form Quiz
3.8 Write linear equations in point-gradient form Quiz

Simultaneous equations
4.1 Is (x, y) a solution to the simultaneous equations? Quiz
4.2 Solve simultaneous equations using substitution Quiz
4.3 Solve simultaneous equations using substitution: word problems Quiz
4.4 Solve simultaneous equations using elimination Quiz
4.5 Solve simultaneous equations using any method Quiz
4.6 Solve non-linear simultaneous equations Quiz

Factorising
5.1 Factorise out a monomial Quiz
5.3 Factorise using a quadratic pattern Quiz
5.4 Factorise by grouping Quiz
5.5 Factorise sums and differences of cubes Quiz
5.6 Factorise polynomials Quiz

Polynomials
6.1 Polynomial vocabulary Quiz
6.2 Add and subtract polynomials Quiz
6.3 Multiply polynomials Quiz
6.4 Write a polynomial from its roots Quiz
6.5 Find the roots of factorised polynomials Quiz
6.6 Fundamental Theorem of Algebra Quiz
6.7 Descartes’ Rule of Signs Quiz

7.1 Roots of integers Quiz
7.2 Find roots using a calculator Quiz
7.3 Nth roots Quiz
7.4 Simplify radical expressions with variables Quiz
7.7 Simplify radical expressions using the distributive property Quiz

Sequences and series
8.1 Find terms of an arithmetic sequence Quiz
8.2 Find terms of a geometric sequence Quiz
8.3 Find terms of a recursive sequence Quiz
8.4 Evaluate formulas for sequences Quiz
8.5 Write a formula for an arithmetic sequence Quiz
8.6 Introduction to partial sums Quiz
8.7 Partial sums of arithmetic series Quiz
8.8 Partial sums of geometric series Quiz

Probability
9.1 Introduction to probability Quiz
9.2 Theoretical and experimental probability Quiz
9.3 Factorials Quiz
9.4 Calculate probabilities of events Quiz
9.5 Permutations Quiz
9.6 Counting principle Quiz

Statistics
10.1 Mean, median, mode and range Quiz
10.2 Quartiles Quiz
10.3 Identify biased samples Quiz
10.4 Mean absolute deviation Quiz
10.5 Variance and standard deviation Quiz

Introduction to derivatives
11.1 Average rate of change I Quiz
11.2 Average rate of change II Quiz
11.3 Velocity as a rate of change Quiz
11.4 Power rule I Quiz
11.5 Power rule II Quiz
11.6 Find derivatives of polynomials Quiz
11.7 Find second derivatives of polynomials Quiz

Exponential and logarithmic functions
12.1 Evaluate exponential functions Quiz
12.2 Solve exponential equations by factorising Quiz
12.3 Solve exponential equations using common logarithms Quiz
12.4 Solve logarithmic equations I Quiz
12.5 Solve logarithmic equations II Quiz
12.6 Exponential growth and decay: word problems Quiz

Parabolas
13.1 Identify the direction a parabola opens Quiz
13.2 Find the vertex of a parabola Quiz
13.3 Find the axis of symmetry of a parabola Quiz
13.4 Find properties of a parabola from equations in general form Quiz

Function operations
14.1 Add and subtract functions Quiz
14.2 Multiply functions Quiz
14.3 Divide functions Quiz
14.4 Composition of linear functions: find a value Quiz
14.5 Composition of linear functions: find an equation Quiz
14.6 Composition of linear and quadratic functions: find a value Quiz
14.7 Identify inverse functions Quiz

Logarithms
15.1 Convert between exponential and logarithmic form: rational bases Quiz
15.2 Evaluate logarithms Quiz
15.3 Product property of logarithms Quiz
15.4 Power property of logarithms Quiz
15.5 Quotient property of logarithms Quiz
15.6 Properties of logarithms: mixed review Quiz
15.7 Evaluate logarithms: mixed review Quiz

Trigonometry
16.1 Inverses of sin, cos and tan Quiz
16.2 Inverses of csc, sec and cot Quiz
16.3 Find trigonometric functions using a calculator Quiz
16.4 Pythagoras’ Theorem and its converse Quiz
16.5 Solve a triangle Quiz
16.6 Trigonometric ratios: sin, cos and tan Quiz
16.7 Trigonometric ratios: csc, sec and cot Quiz

Trigonometric functions and identities
17.1 Find properties of sine functions Quiz
17.2 Find properties of cosine functions Quiz
17.3 Complementary angle identities Quiz
17.4 Symmetry and periodicity of trigonometric functions Quiz

Circles
18.1 Central angles Quiz
18.2 Inscribed angles Quiz
18.3 Angles in inscribed quadrilaterals Quiz
18.4 Angles in inscribed right triangles Quiz
18.5 Find the centre of a circle Quiz
18.6 Find the radius or diameter of a circle Quiz
18.7 Convert equations of circles from general to standard form Quiz
18.8 Find properties of circles from equations in general form Quiz

Continuity
19.1 Identify graphs of continuous functions Quiz
19.2 Determine continuity using graphs Quiz
19.3 Determine continuity on an interval using graphs Quiz
19.4 Find and analyse points of discontinuity using graphs Quiz
19.5 Determine one-sided continuity using graphs Quiz

#### English Year 12

studyif offers more than 100 year 12 English skills to explore and learn! Not sure where to start? Hover your mouse over any skill name to preview it, then click to practise!

Sentence structure
1.1-sentence fragments and run-on sentences Quiz
1.2-a phrase or a clause Quiz
1.3-Prepositional Phrases Quiz
1.4-appositives and appositive phrases Quiz
1.5-dependent and independent clauses Quiz
1.6-Simple, Compound, Complex Sentences Quiz
1.7-Relative Clauses Quiz
1.8 Combine sentences using relative clauses Quiz

Pronouns
2.1-Subject and Object Pronoun Quiz
2.2-Pronouns after Than and As Quiz
2.3-Relative Pronouns Quiz
2.4-pronoun reference Quiz
2.5-Antecedent pronouns Quiz
2.6-Perfect Verb Tense Quiz
2.7 Use relative pronouns: who, whom, whose, which and that Quiz

Verbs and verbals
3.1-transitive and intransitive verbs Quiz
3.3-Identify and correct errors with subject-verb agreement Quiz
3.4-verb compound subjects Quiz
3.5-inappropriate shifts in verb tense Quiz
3.6-Progressive Tense Quiz
3.7- infinitives and infinitive phrases Quiz
3.8 write the indefinite pronoun-verb agreement Quiz
3.9 Form the perfect verb tenses Quiz

4.1- comparative and superlative adjectives Quiz
4.2-Good, better, best, bad, worse and worst Quiz
4.4 Well, better, best, badly, worse and worst Quiz

Punctuation and capitalisation
5.2-Introductory Elements Quiz
5.3-absolute phrases Quiz
5.4- Interjection Quiz

Prefixes and suffixes
6.1-Analogies Quiz
6.2-sentence Quiz
6.3-Prefixes Quiz
6.4- Suffixes Quiz

Etymologies and foreign expressions
7.1- Greek & Latin Roots Quiz
7.2-greek latin root meanings of words Quiz
7.3-etymologies meaning Quiz
7.4-meaning of foreign expressions Quiz
7.5-Foreign Policy Quiz
7.6 Use words as clues to the meanings of Greek and Latin roots Quiz
7.7 Use context as a clue to the meanings of foreign expressions Quiz

Word choice and usage
8.1- Describe the difference between related words Quiz
8.2-Denotation and Connotation Quiz
8.3-accurately and precisely Quiz
8.4-Using a Dictionary / Thesaurus Quiz
8.5-Analogies Quiz
8.6-Analogies: challenge Quiz

Context clues
9.1-Determine the meaning of words using synonyms in context Quiz
9.2-Vocabulary in Context Quiz
9.3 Determine the meaning of words using antonyms in context Quiz

Writing clear and concise sentences
10.2-Transitions Quiz
10.3-Double comparison Quiz
10.4-unclear comparisons Quiz
10.5- Misplaced modifiers Quiz
10.6-Dangling Modifiers Quiz

Common errors
11.1-Choose the correct Homophone Quiz
11.2- frequently confused word Quiz
11.3-frequently confused word select missing word Quiz
11.4-everyday use Quiz

Writing process
12.1-Genres of Writing & the Writing Process Quiz
12.2-Writing Process, Nouns, Pronouns Quiz
12.3-Main Idea Quiz
12.4-Plagiarism Quiz

Writing arguments
13.1- supporting evidence Quiz
13.2-Counterclaims Quiz
13.3-Claims & Evidence Quiz
13.4- logically connects the evidence to the claim Quiz

Author’s purpose and tone
14.1- Which text is most formal? Quiz
14.2-Tone Quiz
14.3-Audience Quiz
14.4-Ethos, Logos, Pathos Quiz

Literary devices
15.1-Rhetorical Strategies: Ethos, Pathos, Logos Quiz

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