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Mathematics Advanced

Stage 6 · HSC questions by topic

About this subject

Mathematics Advanced

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

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

Functions

  • Working with Functions
  • Graphing Techniques

Trigonometric Functions

  • Trigonometry and Measure of Angles
  • Trigonometric Functions and Identities
  • Trigonometric Functions and Graphs

Calculus

  • Introduction to Differentiation
  • Differential Calculus
  • Applications of Differentiation
  • Integral Calculus

Exponential and Logarithmic Functions

  • Logarithms and Exponentials

Statistical Analysis

  • Probability and Discrete Probability Distributions
  • Descriptive Statistics and Bivariate Data Analysis
  • Random Variables

Financial Mathematics

  • Modelling Financial Situations
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2025HSC
Q9

The diagram shows the graph of y=f′(x)y=f'(x)y=f′(x).

Given f(1)=6f(1)=6, which interval includes the best estimate for ? A. B. C. D.

f(1)=6
f(1.1)f(1.1)f(1.1)

[6.2,6.4)[6.2,6.4)[6.2,6.4)

[6.0,6.2)[6.0,6.2)[6.0,6.2)

[5.8,6.0)[5.8,6.0)[5.8,6.0)

[5.6,5.8)[5.6,5.8)[5.6,5.8)
1 mark
Multiple choice