Perplex - May 2025 Exam Prep Sessions

Schedule:

• Functions of the form cx+dax+b​ (9:00-9:30)

• Transformations of the form af(x−b)+c and af(bx)+c. (9:30-10:00)

• SL+HL problem solving + Q&A (10:00-10:30)

HL

• Modulus & inequalities (10:45-11:00)

• Transformations ∣f(x)∣, f(∣x∣), [f(x)]2 and f(x)1​. (11:00-11:30)

• HL problem solving + Q&A (11:30-12:00)

Schedule:

• Cartesian plane & lines (9:00-10:00)

  • Points, midpoints & distance

  • Different forms of straight lines

  • Parallel & perpendicular lines

  • Intersections & systems of equations

15 minute break

• Quadratics (10:15-12:00)

  • Quadratic roots, factors & discriminant

  • Quadratic graphs & inequalities

  • Problem solving + Q&A

Schedule:

• Function properties (9:00-9:30)

• Function graphs (9:30-10:00)

• Function composition and inverses (10:00-10:30)

• Problem solving + Q&A (10:30-11:30)

Schedule

• Arithmetic sequences (9:00-9:30)

• Geometric sequences (9:30-10:00)

• Arithmetic & geometric series (10:00-10:30)

• Problem solving +Q&A (10:30-11:30)

Schedule:

• Exponential algebra (9:00-9:30)

• Logarithms & rules (9:30-10:00)

• Exponential and log functions (10:00-10:30)

• Problem solving + Q&A (10:30-11:30)

Schedule:

• Pascal's Triangle & nCr (9:00-9:30)

• Binomial Theorem (9:30-10:00)

• SL+HL problem solving + Q&A (10:00-10:30)

HL

• Counting (10:30-11:00)

• Counting with restrictions (11:00-11:30)

• HL problem solving + Q&A (11:30-12:00)

Challenging problems + Q&A on:

• SL+HL (9:00-11:00)

  • Lines & quadratics

  • Function theory

  • Sequences & series

  • Exponents & logarithms

  • Binomial theorem

• HL (11:00-12:00):

  • All of the above AND

  • Counting (11:30-12:00)

Schedule:

• Simple deductive proofs (9:00-9:30)

HL

• Proof by contradiction (9:30-10:15)

• Proof by induction (10:15-11:00)

• Problem solving + Q&A (11:00-12:00)

Schedule:

• Right triangles & sohcahtoa (9:00-9:30)

• Non-right triangles & applications (9:30-10:00)

• Circles, arcs, sectors and radians (10:00-10:30)

• 3D solids (10:30-11:00)

• Problem solving +Q&A (11:00-12:00)

Schedule:

• The unit circle (9:00-9:20)

• SL+HL trig functions (9:20-9:40)

• Solving trig equations (9:40-10:00)

• Trig identities (10:00-10:20)

• SL+HL problem solving + Q&A (10:20-11:00)

HL

• HL trig functions & identites (11:00-11:30)

• HL problem solving + Q&A (11:30-12:10)

Schedule:

• Cartesian form a+bi (9:00-9:45)

• Mod-arg / polar forms (9:45-10:30)

• De Moivre's Theorem (10:30-11:00)

• Problem solving + Q&A (11:00-12:00)

Challenging problems + Q&A on:

• (9:00-10:30)

  • 2D and 3D geometry

  • Transformations & asymptotes

  • Trig equations & identities

HL

• (10:30-12:00) Problems on

  • proofs,

  • HL transformations and trig,

  • Complex numbers.

Schedule:

• Polynomial basics (9:00-9:20)

• Polynomial division & functions of the form cx2+dx+eax+b​ (9:20-10:00)

• Factor & remainder theorems (10:00-10:30)

• Sum / product of roots, conjugate roots a±bi (10:30-11:00)

• Problem solving + Q&A (11:00-12:00)

Schedule

• Populations, data, sampling and error (9:00-9:30).

• Measuring center & dispersion (9:30-10:00).

• Box and whisker plots (10:00-10:30).

• Frequency tables, histograms, CMF plots (10:30-11:00).

• Linear regression (11:00-11:30).

HL

• Linear regression x on y (11:30-11:45).

Schedule

• Basic concepts in probability (9:00-9:20)

• Combined events (A∪B, A∩B, A∣B) and conditional probability (9:20-10:00)

• Dependent events & tree diagrams (10:00-10:20)

• SL & HL problem solving + Q&A (10:20-11:00)

HL

• Bayes' Theorem for 2 and 3 events (11:00-11:30)

• HL problem solving + Q&A (11:30-12:00)

Schedule:

• Concepts of

  • a limit (9:00-9:10)

  • gradient, slope and rate of change (9:10-9:20)

• Rules of differentiation SL+HL (9:20-9:50)

• Tangents & Normals (9:50-10:20)

• Second derivative and applications to curves (10:20-10:50)

HL

• Implicit differentiation & related rates (10:50-11:30)

• n^th derivative and proofs (11:30-12:00)

Schedule:

• Anti-Derivatives (9:00-9:30)

• Definite integrals and areas (9:30-10:00)

• Techniques of integration (10:00-10:20)

• Kinematics (10:20-11:00)

HL

• Advanced techniques of integration (11:00-11:30)

• Volumes of revolution (11:30-12:00)

Challenging questions + Q&A on

• SL+HL (9:00-10:30):

  • Statistics and probability

  • Differentiation & Integration

• HL (10:30-12:00):

  • more differentiation & integration

  • polynomials

Schedule:

• Vector arithmetic & geometry + scalar and vector products (9:00-9:30)

• Vector lines, applications and intersections (9:30-10:00)

• Equations of a plane (10:00-10:30)

• Intersections with planes (10:30-11:00)

• Angles in 3D space (11:00-11:30)

• Problem solving (11:30-12:00)

Schedule

• Direct integration & particular solution (9:00-9:15)

• Separable variables (9:30-10:00)

• Integrating factor (10:00-10:30)

• Homogeneous equations (10:30-11:00)

• Homogeneous equations (11:00-11:30)

• Mixed problem solving (11:30-12:00)

Schedule:

• Concept of a Maclaurin series & common functions (9:00-9:30)

• Maclaurin series for differential equations (9:30-9:45)

• Binomial theorem for rational exponents (9:45-10:00)

• Composing, adding, multiplying and dividing series (10:00-10:30)

• Problem solving (10:30-11:30)

Schedule

• Discrete random variables (9:00-9:30)

• Binomial distrinution (9:30-10:00)

• Normal distribution (10:00-10:30)

• Continuous random variables (10:30-11:00)

• Mixed problem solving (11:00-12:00)

Master your calculator and ace Paper 2 in just a few hours.

Join us in tackling challenging mock paper 3s, and learn the key strategies along the way.

Submit questions you have or problems you're stuck on to be covered in this session.