A LevelYear 12Maths · Free with answer key

Math Worksheets – A Level Year 12

Free A Level Year 12 Maths practice worksheets with real exam-style questions and full answer keys. This set has 10 printable papers covering Algebra and Functions, Coordinate Geometry, Trigonometry, Differentiation and 6 more. Work through them to build speed and accuracy, then check your answers against the key on each page. Stuck on any step? The Doubt Solver works out the full method for you.

Worksheets in this set

Sample problems MCQ

Real questions taken from the worksheets above, with answers from the published answer key.

Q1.Which of the following is a factor of f(x) = x³ + 4x² + x − 6?

  1. (a) (x − 1)
  2. (b) (x − 2)
  3. (c) (x + 4)
  4. (d) (x − 4)

Answer: (a) (x − 1)

From: Algebra and Functions

Q1.The gradient of the line joining (1, 2) and (3, 8) is:

  1. (a) 3
  2. (b) 6
  3. (c) 2
  4. (d) 5

Answer: (a) 3

From: Coordinate Geometry

Q1.The exact value of sin 30° is:

  1. (a) ½
  2. (b) √3 ÷ 2
  3. (c) 1
  4. (d) √2 ÷ 2

Answer: (a) ½

From: Trigonometry

Q1.d/dx (x⁵) =

  1. (a) 5x⁴
  2. (b) 5x⁵
  3. (c) x⁴
  4. (d) 4x⁵

Answer: (a) 5x⁴

From: Differentiation

Q1.∫ x³ dx =

  1. (a) x⁴ ÷ 4 + c
  2. (b) 3x² + c
  3. (c) x² + c
  4. (d) x⁴ + c

Answer: (a) x⁴ ÷ 4 + c

From: Integration

Common mistakes to avoid

  • Forgetting the constant of integration when solving indefinite integrals
  • Mixing up (sin^2 x + cos^2 x) with related identities when simplifying trig expressions
  • Incorrectly applying the chain rule and missing the inside derivative

Frequently asked questions

Are the Year 12 Maths worksheets free?

Yes - every Mohsim Digital Education worksheet is free to download with a full answer key.

How do I get a full step-by-step solution?

Run the question through the Doubt Solver on this site to get a clear worked solution instantly.

Do these cover the exam board syllabus?

The topics match the standard A Level Year 12 pure mathematics syllabus, including algebra, trigonometry, calculus and vectors.

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