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🔢 Free Grade 12 Precalculus & Statistics Math Worksheets

50 free, printable grade 12 Precalculus & Statistics and math worksheets aligned to the Common Core State Standards — 10 standards, 5 sheets each, with answer keys.

Grade 12 (ages 17–18)Common Core aligned50 printablesanswer keys

🔢 Trigonometric Identities🔢 Composition of Functions🔢 Polynomial Features🔢 Vectors🔢 Matrix Operations🔢 Conditional Probability🔢 Permutations & Combinations🔢 Expected Value🔢 Binomial Theorem🔢 Solving Trig Equations

🔢 Trigonometric Identities

Standard: F-TF.C.8: Prove and use the Pythagorean identity sin²θ + cos²θ = 1

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Trigonometric Identities: Practice A (F-TF.C.8)

Prove and use the Pythagorean identity sin²θ + cos²θ = 1 · Grade 12

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Trigonometric Identities: Practice B (F-TF.C.8)

Prove and use the Pythagorean identity sin²θ + cos²θ = 1 · Grade 12

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Trigonometric Identities: Mixed Practice & Reasoning (F-TF.C.8)

Prove and use the Pythagorean identity sin²θ + cos²θ = 1 · Grade 12

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🧠

Trigonometric Identities: Show Your Thinking (F-TF.C.8)

Prove and use the Pythagorean identity sin²θ + cos²θ = 1 · Grade 12

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Trigonometric Identities: Quick Check (F-TF.C.8)

Prove and use the Pythagorean identity sin²θ + cos²θ = 1 · Grade 12

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🔢 Composition of Functions

Standard: F-BF.A.1c: Compose functions

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Composition of Functions: Practice A (F-BF.A.1c)

Compose functions · Grade 12

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Composition of Functions: Practice B (F-BF.A.1c)

Compose functions · Grade 12

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Composition of Functions: Mixed Practice & Reasoning (F-BF.A.1c)

Compose functions · Grade 12

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Composition of Functions: Show Your Thinking (F-BF.A.1c)

Compose functions · Grade 12

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Composition of Functions: Quick Check (F-BF.A.1c)

Compose functions · Grade 12

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🔢 Polynomial Features

Standard: F-IF.C.7c: Graph polynomial functions, identifying zeros and end behavior

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Polynomial Features: Practice A (F-IF.C.7c)

Graph polynomial functions, identifying zeros and end behavior · Grade 12

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Polynomial Features: Practice B (F-IF.C.7c)

Graph polynomial functions, identifying zeros and end behavior · Grade 12

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Polynomial Features: Mixed Practice & Reasoning (F-IF.C.7c)

Graph polynomial functions, identifying zeros and end behavior · Grade 12

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Polynomial Features: Show Your Thinking (F-IF.C.7c)

Graph polynomial functions, identifying zeros and end behavior · Grade 12

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Polynomial Features: Quick Check (F-IF.C.7c)

Graph polynomial functions, identifying zeros and end behavior · Grade 12

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🔢 Vectors

Standard: N-VM.A.3: Find magnitudes and solve problems involving vectors

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Vectors: Practice A (N-VM.A.3)

Find magnitudes and solve problems involving vectors · Grade 12

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Vectors: Practice B (N-VM.A.3)

Find magnitudes and solve problems involving vectors · Grade 12

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Vectors: Mixed Practice & Reasoning (N-VM.A.3)

Find magnitudes and solve problems involving vectors · Grade 12

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Vectors: Show Your Thinking (N-VM.A.3)

Find magnitudes and solve problems involving vectors · Grade 12

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Vectors: Quick Check (N-VM.A.3)

Find magnitudes and solve problems involving vectors · Grade 12

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🔢 Matrix Operations

Standard: N-VM.C.8: Add, subtract and multiply matrices

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Matrix Operations: Practice A (N-VM.C.8)

Add, subtract and multiply matrices · Grade 12

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Matrix Operations: Practice B (N-VM.C.8)

Add, subtract and multiply matrices · Grade 12

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Matrix Operations: Mixed Practice & Reasoning (N-VM.C.8)

Add, subtract and multiply matrices · Grade 12

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🧠

Matrix Operations: Show Your Thinking (N-VM.C.8)

Add, subtract and multiply matrices · Grade 12

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✅

Matrix Operations: Quick Check (N-VM.C.8)

Add, subtract and multiply matrices · Grade 12

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🔢 Conditional Probability

Standard: S-CP.A.4: Construct and interpret two-way frequency tables; find conditional probabilities

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Conditional Probability: Practice A (S-CP.A.4)

Construct and interpret two-way frequency tables; find conditional probabilities · Grade 12

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Conditional Probability: Practice B (S-CP.A.4)

Construct and interpret two-way frequency tables; find conditional probabilities · Grade 12

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💬

Conditional Probability: Mixed Practice & Reasoning (S-CP.A.4)

Construct and interpret two-way frequency tables; find conditional probabilities · Grade 12

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🧠

Conditional Probability: Show Your Thinking (S-CP.A.4)

Construct and interpret two-way frequency tables; find conditional probabilities · Grade 12

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Conditional Probability: Quick Check (S-CP.A.4)

Construct and interpret two-way frequency tables; find conditional probabilities · Grade 12

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🔢 Permutations & Combinations

Standard: S-CP.B.9: Use permutations and combinations to compute probabilities

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Permutations & Combinations: Practice A (S-CP.B.9)

Use permutations and combinations to compute probabilities · Grade 12

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Permutations & Combinations: Practice B (S-CP.B.9)

Use permutations and combinations to compute probabilities · Grade 12

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💬

Permutations & Combinations: Mixed Practice & Reasoning (S-CP.B.9)

Use permutations and combinations to compute probabilities · Grade 12

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🧠

Permutations & Combinations: Show Your Thinking (S-CP.B.9)

Use permutations and combinations to compute probabilities · Grade 12

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✅

Permutations & Combinations: Quick Check (S-CP.B.9)

Use permutations and combinations to compute probabilities · Grade 12

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🔢 Expected Value

Standard: S-MD.A.2: Calculate the expected value of a random variable

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Expected Value: Practice A (S-MD.A.2)

Calculate the expected value of a random variable · Grade 12

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Expected Value: Practice B (S-MD.A.2)

Calculate the expected value of a random variable · Grade 12

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Expected Value: Mixed Practice & Reasoning (S-MD.A.2)

Calculate the expected value of a random variable · Grade 12

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Expected Value: Show Your Thinking (S-MD.A.2)

Calculate the expected value of a random variable · Grade 12

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Expected Value: Quick Check (S-MD.A.2)

Calculate the expected value of a random variable · Grade 12

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🔢 Binomial Theorem

Standard: A-APR.C.5: Expand (x + y)ⁿ using the Binomial Theorem

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Binomial Theorem: Practice A (A-APR.C.5)

Expand (x + y)ⁿ using the Binomial Theorem · Grade 12

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Binomial Theorem: Practice B (A-APR.C.5)

Expand (x + y)ⁿ using the Binomial Theorem · Grade 12

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💬

Binomial Theorem: Mixed Practice & Reasoning (A-APR.C.5)

Expand (x + y)ⁿ using the Binomial Theorem · Grade 12

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🧠

Binomial Theorem: Show Your Thinking (A-APR.C.5)

Expand (x + y)ⁿ using the Binomial Theorem · Grade 12

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Binomial Theorem: Quick Check (A-APR.C.5)

Expand (x + y)ⁿ using the Binomial Theorem · Grade 12

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🔢 Solving Trig Equations

Standard: F-TF.B.7: Use inverse functions to solve trigonometric equations

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Solving Trig Equations: Practice A (F-TF.B.7)

Use inverse functions to solve trigonometric equations · Grade 12

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Solving Trig Equations: Practice B (F-TF.B.7)

Use inverse functions to solve trigonometric equations · Grade 12

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💬

Solving Trig Equations: Mixed Practice & Reasoning (F-TF.B.7)

Use inverse functions to solve trigonometric equations · Grade 12

Print →
🧠

Solving Trig Equations: Show Your Thinking (F-TF.B.7)

Use inverse functions to solve trigonometric equations · Grade 12

Print →
✅

Solving Trig Equations: Quick Check (F-TF.B.7)

Use inverse functions to solve trigonometric equations · Grade 12

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More for Grade 12

Grade 12 English worksheets → · All grades K–12 → · Free books for Grade 12 →

Frequently asked questions

Are these Grade 12 math worksheets free?

Yes — every worksheet is free to print or save as a PDF with a free Pagine account. Answer keys are included where needed.

Are they aligned to the Common Core?

Yes. Each sheet lists the Common Core State Standard it practises (for example F-TF.C.8). Problems are generated for each standard and every answer is computed.

How are the worksheets organised?

By standard — 10 key Grade 12 standards, each with Practice A, Practice B, Word Problems, Show Your Thinking and a Quick Check.

Do you have Grade 12 books too?

Yes — 20,000+ free books and audiobooks in the Pagine e-reader and the free Pagine app.

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