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Mathematics Extension 1

Stage 6 · HSC questions by topic

About this subject

Mathematics Extension 1

Atlas organises human-reviewed questions against the NSW Stage 6 Mathematics Extension 1syllabus. Every published question retains its exam source and page.

Syllabus: NESA Stage 6 (2017)
Explore the NESA Stage 6 (2017) syllabus topics

Functions

  • Further Work with Functions
  • Polynomials

Trigonometric Functions

  • Inverse Trigonometric Functions
  • Further Trigonometric Identities
  • Trigonometric Equations

Calculus

  • Rates of Change
  • Further Calculus Skills
  • Applications of Calculus

Combinatorics

  • Working with Combinatorics

Proof

  • Proof by Mathematical Induction

Vectors

  • Introduction to Vectors

Statistical Analysis

  • The Binomial Distribution
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2 questions found

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2023HSC
Q11 (d)

Find

∫14−9x2 dx.\int \frac{1}{\sqrt{4-9x^2}}\,dx.∫4−9x
2
​
1
​
d
x
.
2 marks
Short answer
2023HSC
Q12 (a)

Evaluate

∫34(x+2)x−3 dx\int_{3}^{4}(x+2)\sqrt{x-3}\,dx∫34​(x+2)x−3​dx

using the substitution u=x−3u=x-3u=x−3.

3 marks
Short answer