Numerical reasoning practice by topic
Every numerical reasoning test draws from these areas. Drill them one by one — 4 are free.
Real test questions rarely use one skill in isolation — a single SHL or CCAT item might fold a table read, a percentage change and a ratio into one go. But every question decomposes into the twelve areas below, and the fastest way to raise your score is to find the two or three actually costing you marks and drill them until they’re automatic.
Short on time? Start with the highest-leverage areas: percentages (especially percentage change and reverse percentages), ratios & proportion, and reading data from tables and charts — together they cover most questions on graduate and managerial tests. Rates, averages and currency conversion come up often enough to be worth a pass too. Each topic page gives you the method, worked examples, and a drill of real test-format questions with the named mistake behind every wrong option. Work one area at a time, check the worked solution on anything you miss, then retake the free test to watch your weak spots move.
Numerical reasoning question types
Most numerical reasoning tests combine a small set of repeatable question types. The fastest way to improve is to identify which types cost you marks, learn the method, and drill them until the setup becomes automatic.
% of, % change, reverse %, successive %, percentage points, shares of a total.
Ratio questions — sharing in a ratio, comparing rates, direct & inverse proportion, fractions of a quantity.
Reading values from a table, totals, differences, and locating the right row/column.
Data interpretation: reading bar, pie and line charts and combining values off them.
Average questions: mean, median, range and weighted averages.
Spotting the rule in a sequence and continuing it.
Interest, break-even, depreciation, margins, growth (CAGR), yield, index numbers, real-terms.
Speed-distance-time, currency, per-capita and work-rate problems.
Basic probability, complement, expected value, combined events, Venn diagrams.
Solving linear equations and simultaneous equations.
No-calculator fluency: the four operations, fraction/decimal/percent conversion, percentage shortcuts.
True / False / Cannot-say judgements from given data.
Best topics to practise first
Short on time? Work these high-leverage areas in order — together they cover most questions on graduate and managerial tests.