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Mathematics

Grade 12 · High School

Topics

01

Limits of Functions

Determining limits of algebraic and trigonometric functions, including limits at infinity.

20 questions
02

Derivatives

Derivative rules for algebraic and trigonometric functions, including product, quotient, and chain rules.

20 questions
03

Applications of Derivatives

Using derivatives for tangent slopes, stationary points, maximum-minimum values, and rates of change.

20 questions
04

Integrals

Indefinite and definite integrals of algebraic and basic trigonometric functions.

20 questions
05

Applications of Integrals

Computing areas between curves and volumes of solids of revolution using definite integrals.

20 questions
06

Linear Programming

Formulating mathematical models and finding the optimum value of an objective function over a feasible region.

20 questions
07

Three-Dimensional Geometry

Distances and angles in solids such as cubes, cuboids, and pyramids.

20 questions
08

Probability, Permutations & Combinations

Using counting rules, permutations, combinations, and the probability of an event.

20 questions
09

HOTS Linear Programming

Model production decisions, interpret feasible regions, test optima, and analyse parameter changes.

20 questions🔒 Khusus siswa privat
10

HOTS Integration

Analyse accumulation, signed area, net change, and rate models in contextual data.

20 questions🔒 Khusus siswa privat
11

HOTS Limits of Functions

Evaluate function behaviour from graphs, data, domains, and instantaneous-change models.

20 questions🔒 Khusus siswa privat
12

HOTS Derivatives

Model instantaneous rates, optimisation, sensitivity, and function behaviour from derivatives.

20 questions🔒 Khusus siswa privat
13

HOTS Applications of Integrals

Model area, volume, displacement, and rate accumulation with definite integrals.

20 questions🔒 Khusus siswa privat
14

HOTS Applications of Derivatives

Analyse rates of change, optimisation, motion, and derivative-based decisions.

20 questions🔒 Khusus siswa privat
15

HOTS Three-dimensional Geometry

Analyse distance, angles, projections, sections, and coordinates in solids.

20 questions🔒 Khusus siswa privat
16

HOTS Probability, Permutations, and Combinations

Analyse counting, conditional probability, arrangements, and decisions based on random data.

20 questions🔒 Khusus siswa privat