Quantitative Reasoning

Divisibility, remainders, factors and digit properties — the backbone of teen-level aptitude tests. NEAT draws heavily from the IPMAT/NTSE tradition here: expect questions that look simple but reward knowing why something is true, not just computing it. Practise remainder arithmetic, factor counting, and digit-sum reasoning until they're reflexes.

Quadratics, polynomials, exponents, modulus and inequalities — the largest single block of quant on tests like IPMAT. NEAT questions tend to test manipulation fluency: rearranging expressions, bounding variables, and spotting when an inequality flips. Work through these slowly; errors here are usually sign errors, not concept errors.

Counting arrangements, selections, and chances — plus the binomial theorem. These questions punish the two classic mistakes: double-counting and forgetting whether order matters. NEAT-style questions stay accessible (no advanced distributions) but expect clean casework. If you can explain *why* a formula divides by k!, you're ready.

Percentages, profit & loss, interest, ratios, mixtures, time-speed-distance and time & work — the most business-flavoured math on the paper, and the closest to what founders actually calculate. These are estimation-friendly: practise getting within 5% mentally before reaching for exact computation. Averages and rate problems dominate.

Log laws, change of base, and logarithmic equations — a compact topic that shows up disproportionately on IPMAT-style papers. Nearly every question reduces to three or four identities applied in the right order. Master logₐ(b)·log_b(a)=1 style manipulations and the topic turns into free marks.

Arithmetic and geometric progressions, series sums, and recurrence patterns. Questions range from plug-in formula work to spotting the pattern in an unfamiliar sequence — the latter is pure NEAT. Learn AP/GP sums cold, then practise 'find the next term' puzzles that have no formula at all.

Circles, triangles, quadrilaterals, polygons and areas/volumes. NEAT geometry stays classical — angle chasing, similarity, circle theorems, and mensuration formulas — rather than coordinate-heavy. Draw the figure even when one isn't given; most geometry questions collapse once the diagram is labelled properly.

Straight lines, distances, slopes and intersections. IPMAT-lineage questions favour line geometry — finding equations from conditions, distances between points, reflections. Convert geometric language to algebra mechanically; these questions are computation-heavy but conceptually light.

Identities, heights & distances, and equation solving. For a school-level exam this stays standard: know your identity families and the classic 30°/45°/60° setups. Heights-and-distances problems are really geometry problems wearing trig clothes — sketch first, calculate second.

Matrix operations, determinant evaluation, and properties like det(AB)=det(A)det(B). A small but consistent presence on IPMAT-style papers. Most questions are property checks rather than full computation — learn the standard identities and singular-matrix conditions.

Domain, range, composition and function behaviour. These questions test whether you understand a function as a mapping rather than a formula. Expect 'what can f(x) be?' and range-bounding questions — sketch the graph mentally before algebra.

Union/intersection counting with two or three sets. Nearly every question is inclusion-exclusion in disguise. Draw the Venn diagram, fill innermost regions first, and let the arithmetic fall out — the classic trap is forgetting the 'neither' region.

Quant questions that arrive as data tables rather than prose — totals, rates and comparisons read off a grid. The skill is extraction speed: identify which cells matter before computing anything. This overlaps the DI section's chart questions, so practice transfers both ways.