Mathematical exercises

Here are some exercises for my math students. Worksheets include solutions for all numeric exercises. You can test graphical solutions using your graphic display calculators or using PC programs Graph, Desmos and many others.

Printing: You can print worksheets using Print command in your web browser (Mozilla Firefox and Google Chrome recomended).

Do not copy the exercises to Word (copying exercises to Word destroys math formulas).

International Baccalaureate Diploma Program

Mathematics Applications and Interpretation – Standard Level

Basic skills

• Numbers, expressions and equations
• Linear function
• Using your Graphic Display Calculator (GDC)
• Quadratic function

Algebra

• Exponential and logarithmic functions
• Sequences and series I.
• Sequences and series II.

Functions

• Functions I.
• Functions II.
• Functions III.

Geometry and trigonometry

• Trigonometry
• Coordinate geometry
• Geometry of solids
• Trigonometric functions

Statistics and probability

• Statistics
• Probability I.
• Probability II.
• Hypothesis testing

Calculus

• Differentiation I.
• Differentiation II.
• Integration

Review exercises

• Algebra
• Geometry and trigonometry
• Statistics and probability
• Functions and calculus

Mathematics Analysis and Approaches – Standard Level

Prior knowledge review

• Numbers and expressions
• Linear function
• Quadratic function

Algebra

• Exponential and logarithmic functions
• Sequences and series I.
• Sequences and series II.

Functions and equations

• Functions I.
• Functions II.
• Polynomials and rational functions

Circular functions and trigonometry

• Trigonometry I.
• Trigonometry II.

Calculus

• Differentiation I.
• Differentiation II.
• Differentiation III.
• Integration

Statistics and probability

• Probability
• Statistics

Review exercises for the final exam

• Review: functions and calculator skills
• Review: sequences and series
• Review: trigonometry

Exercises which are no longer included in SL syllabus:

• Vectors I.
• Vectors II.
• Vectors III.
• Review: vectors

Using a Graphic Display Calculator (GDC)

TI-84:

• Updating the operating system
• Univariate statistics
• Bivariate statistics
• Calculator use in exams

TI-nspire:

• Tips for using TI-nspire
• Financial calculations
• Univariate statistics
• Bivariate statistics
• Hypothesis testing
• Calculator use in exams

Casio fx-CG50:

• Financial calculations

---

My exercises are prepared with MathJax  –  a program which allows including mathematics in web pages. MathJax works in all modern browsers with JavaScript enabled.