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Grade 12 · Ontario curriculum

MHF4U

Advanced Functions

Free Ontario MHF4U practice exams, unit reviews, practice tests, and solutions organized by Advanced Functions topic.

10 study items8 with solutions
Full CoursePolynomial FunctionsFactor Theorem & InequalitiesLogarithmic FunctionsTrigonometry in RadiansTrig Identities & EquationsRates of ChangeRational Functions

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MHF4U study materials

Materials are grouped by unit. Choose one item, complete it, and use the clearly labelled solution button when available.

10 study itemsGrouped by unit below

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Free Ontario high-school math and chemistry resources
CourseResourceUnit / topicTypeSolutionsAction
Full Course Review
MHF4UMHF4U Advanced Functions Practice ExamA cumulative Advanced Functions practice exam covering the main MHF4U expectations.Full CourseAll Advanced Functions unitsPractice ExamNo separate key
MHF4UMHF4U Full-Course Review Problem SetA full-course MHF4U review problem set with a separate solutions PDF.Full CourseAll Advanced Functions unitsExam ReviewYes
Unit 1 — Polynomial functions
MHF4UPolynomial Functions Unit ReviewNine pages of polynomial characteristics, transformations, graphs, and symmetry practice.Unit 1Polynomial functionsUnit ReviewYes
Unit 2 — Factoring polynomials, factor theorem, and inequalities
MHF4UFactor Theorem & Inequalities Unit ReviewPractice division, factor and remainder theorems, polynomial equations, and inequalities.Unit 2Factoring polynomials, factor theorem, and inequalitiesUnit ReviewYes
Unit 3 — Logarithmic functions
MHF4ULogarithmic Functions Practice TestA five-page MHF4U practice test on logarithm laws, equations, and applications.Unit 3Logarithmic functionsPractice TestNo separate key
MHF4ULogarithmic Functions Unit ReviewAn extensive logarithms review with a separate worked-solutions document.Unit 3Logarithmic functionsUnit ReviewYes
Unit 4 — Trigonometry in radians
MHF4UTrigonometry in Radians Unit ReviewReview radians, exact ratios, trig graphs, transformations, and applications.Unit 4Trigonometry in radiansUnit ReviewYes
Unit 5 — Trigonometric identities and equations
MHF4UTrig Identities & Equations Unit ReviewPractice compound-angle identities, double-angle identities, proofs, and trig equations.Unit 5Trigonometric identities and equationsUnit ReviewYes
Unit 6 — Rates of change and limits
MHF4URates of Change Unit ReviewReview average and instantaneous rates of change, Newton's quotient, and limits.Unit 6Rates of change and limitsUnit ReviewYes
Unit 7 — Rational functions
MHF4URational Functions Unit ReviewReview reciprocal and quotient functions, combinations, composition, equations, and inequalities.Unit 7Rational functionsUnit ReviewYes

Full Course Review

MHF4UPractice Exam

MHF4U Advanced Functions Practice Exam

Full Course · All Advanced Functions units

A cumulative Advanced Functions practice exam covering the main MHF4U expectations.

No separate solutions
MHF4UExam Review

MHF4U Full-Course Review Problem Set

Full Course · All Advanced Functions units

A full-course MHF4U review problem set with a separate solutions PDF.

Solutions available

Unit 1 — Polynomial functions

MHF4UUnit Review

Polynomial Functions Unit Review

Unit 1 · Polynomial functions

Nine pages of polynomial characteristics, transformations, graphs, and symmetry practice.

Solutions available

Unit 2 — Factoring polynomials, factor theorem, and inequalities

MHF4UUnit Review

Factor Theorem & Inequalities Unit Review

Unit 2 · Factoring polynomials, factor theorem, and inequalities

Practice division, factor and remainder theorems, polynomial equations, and inequalities.

Solutions available

Unit 3 — Logarithmic functions

MHF4UPractice Test

Logarithmic Functions Practice Test

Unit 3 · Logarithmic functions

A five-page MHF4U practice test on logarithm laws, equations, and applications.

No separate solutions
MHF4UUnit Review

Logarithmic Functions Unit Review

Unit 3 · Logarithmic functions

An extensive logarithms review with a separate worked-solutions document.

Solutions available

Unit 4 — Trigonometry in radians

MHF4UUnit Review

Trigonometry in Radians Unit Review

Unit 4 · Trigonometry in radians

Review radians, exact ratios, trig graphs, transformations, and applications.

Solutions available

Unit 5 — Trigonometric identities and equations

MHF4UUnit Review

Trig Identities & Equations Unit Review

Unit 5 · Trigonometric identities and equations

Practice compound-angle identities, double-angle identities, proofs, and trig equations.

Solutions available

Unit 6 — Rates of change and limits

MHF4UUnit Review

Rates of Change Unit Review

Unit 6 · Rates of change and limits

Review average and instantaneous rates of change, Newton's quotient, and limits.

Solutions available

Unit 7 — Rational functions

MHF4UUnit Review

Rational Functions Unit Review

Unit 7 · Rational functions

Review reciprocal and quotient functions, combinations, composition, equations, and inequalities.

Solutions available

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