Numerical Ability

Study lessons

1. 1

   Number Operations and Integers

   Master the order of operations, signed numbers, divisibility rules, GCF/LCM, and remainders, the foundation skills behind almost every CSE Professional math item.

   15 min
2. 2

   Fractions

   Learn to compare, add, subtract, multiply, and divide fractions and mixed numbers quickly, and to translate CSE fraction word problems into simple equations.

   15 min
3. 3

   Decimals

   Handle decimal place value, the four operations, rounding, and conversions among fractions, decimals, and percents, including repeating decimals, without a calculator.

   14 min
4. 4

   Percentages

   Use the base-rate-percentage relationship to solve discount, markup, percent-change, and successive-percent problems, the single most tested computation family in the CSE.

   16 min
5. 5

   Ratio and Proportion

   Simplify ratios, split quantities partitively, and tell direct from inverse proportion, the setup skills behind CSE items on sharing money, scaling maps, and staffing work.

   15 min
6. 6

   Averages

   Compute mean, median, and mode, handle weighted and combined averages, recover missing values from a known average, and avoid the average-speed trap the CSE loves.

   15 min
7. 7

   Age Problems

   Turn CSE age word problems into simple equations using the table method, handling past and future ages, constant age differences, and sum-and-ratio setups.

   14 min
8. 8

   Work-Rate Problems

   Solve combined-work, pipe-and-drain, leave-mid-job, and worker-day problems using rates per unit time, a fixture of every CSE numerical section.

   16 min
9. 9

   Distance, Rate, and Time

   Master the d = rt relationship and its classic exam setups (opposite directions, catching up, round trips, and average speed) so motion problems become quick, mechanical points on the CSE Professional exam.

   15 min
10. 10

    Mixture Problems

    Learn to track the "pure stuff" in solutions and blends, handle adding water or pure substance, and use the alligation shortcut so CSE mixture items become one-line equations.

    15 min
11. 11

    Profit and Loss

    Handle cost price, selling price, markup versus margin, discount chains, and break-even questions, the business-percentage family that the CSE Professional exam draws on heavily.

    15 min
12. 12

    Simple and Compound Interest

    Compute simple interest with I = Prt, grow compound interest year by year, compare the two, and build installment intuition, all with clean no-calculator numbers the CSE favors.

    15 min
13. 13

    Basic Algebra

    Refresh evaluating expressions, the laws of exponents, combining like terms, and basic factoring, the algebra toolkit that CSE numerical items quietly assume you already have.

    15 min
14. 14

    Linear Equations and Inequalities

    Solve one-variable equations, crack two-variable systems by substitution and elimination, and handle inequalities (including the sign-flip rule), the core solving skills behind most CSE word problems.

    15 min
15. 15

    Word Problem Translation

    Build the English-to-equation dictionary (of, is, less than, exceeds, consecutive integers) and apply it to number problems and coin or denomination problems, the CSE's most translation-heavy items.

    15 min
16. 16

    Data Interpretation: Tables

    How to read data tables fast and extract totals, differences, percents, and comparisons, because the CSE Professional numerical section always includes table-based items.

    15 min
17. 17

    Graph Reading

    Reading bar, line, and pie graph data with confidence, including percent shares, degree sectors, and trends, because CSE data items describe graphs in words and numbers.

    15 min
18. 18

    Number Sequences and Patterns

    A systematic method for cracking arithmetic, geometric, alternating, squared, two-step, and Fibonacci-style sequences, which appear in every CSE numerical section.

    15 min
19. 19

    Exponents, Roots, and Scientific Notation

    Perfect squares and cubes, exponent laws, root estimation, and scientific notation conversions, all computed by hand the way the no-calculator CSE requires.

    15 min
20. 20

    Measurement and Unit Conversion

    Metric, time, area, volume, and rate conversions done reliably by hand, because CSE word problems constantly mix units to create trap answers.

    15 min
21. 21

    Estimation and Shortcut Methods

    Benchmarks, smart rounding, fraction-percent equivalents, and distributive tricks that turn long computations into ten-second mental math on the no-calculator CSE.

    15 min
22. 22

    No-Calculator Pacing

    How to budget time across the numerical section, choose which items to attack first, back-solve from choices, and decide when to estimate versus compute exactly.

    14 min

Section practice test

14 test sets covering the whole Numerical Ability section, 750 original questions with explanations. After you finish the lessons above, prove it here. Randomized every run.