UEE Mathematics study guide
UEE Mathematics · Work through your exam, one topic at a time.
UEE Mathematics is the mathematics component of a unified entrance examination used by some institutions for admission to undergraduate programmes. It is intended for secondary-school graduates and other candidates who need a mathematics score for university entry. The exam assesses six areas: Numbers and Algebra (20%), Functions and Graphs (20%), Geometry and Measurement (20%), Trigonometry (10%), Probability and Statistics (15%), and Calculus and Analysis (15%). Both multiple-choice and constructed-response questions are used, so you must be able to produce clear, justified solutions as well as select correct options. The UEE Mathematics study guide has 6 sections and about 1,483 words.
01Numbers and Algebra
Numbers and Algebra tests fluency with number systems, algebraic manipulation, and equation solving. Questions combine rational and irrational numbers, exponents and logarithms, polynomials, inequalities, sequences, and matrices or complex numbers where the syllabus includes them.
242 words, about 1 min02Functions and Graphs
Functions and Graphs tests the connection between algebraic rules and their graphs: domain and range, composition, inverses, transformations, and asymptotic behaviour. Domain restrictions come from denominators (not zero), even roots (radicand ≥0), and logarithms (argument 0).
236 words, about 1 min03Geometry and Measurement
Geometry and Measurement tests angle relationships, triangle and circle theorems, coordinate geometry, and the calculation of perimeter, area, surface area, and volume in plane and solid figures. Angles in a triangle sum to 180°; an exterior angle equals the sum of the two opposite interior angles.
262 words, about 1 min04Trigonometry
Trigonometry tests radian and degree measure, the unit circle, identities, trigonometric equations, and the sine and cosine rules in non-right triangles. Convert with π radians = 180°.
251 words, about 1 min05Probability and Statistics
Probability and Statistics tests counting, basic and conditional probability, and the summary and interpretation of data sets. Probability P(A)=favourable outcomes/total equally likely outcomes; 0≤P(A)≤1.
240 words, about 1 min06Calculus and Analysis
Calculus and Analysis tests limits, continuity, differentiation, curve sketching, optimisation, and basic integration as accumulated change or area. Limit laws apply when limits exist; factor or rationalise to remove 0/0 forms.
252 words, about 1 min