Pareto Academy

Free CAT e-books

The same lessons our students learn from, as PDFs you can print: every concept with worked problems, diagrams and full solutions. Free.

  • CAT Quant formula sheet

    Every formula and shortcut, from Percentages to Probability

    All the formulas and time-saving shortcuts from our Quant lessons on a few pages, grouped by topic. Made for last-week revision.

    What's inside (25)
    1. Percentages
    2. Profit, Loss and Discount
    3. Simple and Compound Interest
    4. Ratio, Proportion and Variation
    5. Averages
    6. Mixtures and Alligation
    7. Time and Work
    8. Time, Speed and Distance
    9. Races and Clocks
    10. Linear Equations and Inequalities
    11. Quadratic Equations
    12. Functions and Graphs
    13. Logarithms, Exponents and Surds
    14. Progressions and Series
    15. Binomial Theorem
    16. Number System I: Factors, Divisibility, HCF and LCM
    17. Number System II: Remainders, Unit Digits and Bases
    18. Lines, Angles and Triangles
    19. Circles and Polygons
    20. Mensuration: Areas and Volumes
    21. Coordinate Geometry
    22. Trigonometry: Ratios, Heights and Distances
    23. Permutations and Combinations
    24. Probability
    25. Set Theory and Venn Diagrams
  • Classic CAT puzzles, solved

    The goat on a rope, 25 horses, the fake coin and more

    The famous problems interviewers and paper-setters love, each taken apart step by step with diagrams.

    What's inside (12)
    1. 25 horses, 5 lanes: the fewest races
    2. The fake coin: weighing puzzles
    3. Grazing animals: a goat on a rope
    4. Clocks: the hands race
    5. Calendars: what day was it?
    6. Shortest paths: the ant on a box
    7. Counting on a grid: squares, rectangles and lockers
    8. Escalators: counting steps on the move
    9. Chases: the bird between two trains
    10. The monkey and the greased pole
    11. Handshakes, matches and diagonals
    12. Wine, water and the measuring jugs
  • Arithmetic for CAT

    Percentages to Races and Clocks

    The highest-weight part of CAT Quant: percentages, profit and loss, interest and growth rates, ratios, averages, mixtures, work, speed, races and clocks.

    What's inside (9)
    1. Percentages
    2. Profit, Loss and Discount
    3. Simple and Compound Interest
    4. Ratio, Proportion and Variation
    5. Averages
    6. Mixtures and Alligation
    7. Time and Work
    8. Time, Speed and Distance
    9. Races and Clocks
  • Algebra for CAT

    Equations, functions, logs, series and the binomial theorem

    Linear and quadratic equations, means and inequalities, functions and graphs, logarithms and surds, series and the binomial theorem.

    What's inside (6)
    1. Linear Equations and Inequalities
    2. Quadratic Equations
    3. Functions and Graphs
    4. Logarithms, Exponents and Surds
    5. Progressions and Series
    6. Binomial Theorem
  • Number System for CAT

    Factors, HCF and LCM, remainders and bases

    Divisibility, factors, HCF and LCM, remainder theorems, unit digits and number bases.

    What's inside (2)
    1. Number System I: Factors, Divisibility, HCF and LCM
    2. Number System II: Remainders, Unit Digits and Bases
  • Geometry and Mensuration for CAT

    Triangles, circles, solids, coordinates and trigonometry

    Lines, angles and triangles, circles and polygons, areas and volumes, coordinate geometry, and heights and distances, with figures.

    What's inside (5)
    1. Lines, Angles and Triangles
    2. Circles and Polygons
    3. Mensuration: Areas and Volumes
    4. Coordinate Geometry
    5. Trigonometry: Ratios, Heights and Distances
  • Modern Maths for CAT

    Counting, probability and sets

    Permutations and combinations, probability, and set theory with Venn diagrams.

    What's inside (3)
    1. Permutations and Combinations
    2. Probability
    3. Set Theory and Venn Diagrams