KSSM Latest Syllabus • Form 4 & Form 5
Complete curriculum covering all 10 Form 4 Chapters and 8 Form 5 Chapters. Packed with progressive worked examples, SPM Paper 1 & Paper 2 format questions, authentic examiner marking schemes, and high-impact KBAT real-world challenges.
Fungsi
Composite functions $f(g(x))$, inverse functions $f^{-1}(x)$, self-inverses, domain/range constraints, and algebraic mapping modeling.
Fungsi Kuadratik
Completing square $a(x-h)^2+k$, vertex extrema, discriminant conditions ($b^2 - 4ac \gtrless 0$), quadratic inequalities, and projectile flight.
Sistem Persamaan
Simultaneous linear equations in 3 variables, one linear and one non-linear equation, substitution/elimination methods, and real-life pricing models.
Indeks, Surd dan Logaritma
Laws of indices, rationalizing binomial surds with conjugates, logarithm laws, change of base formula, and exponential growth/decay models.
Janjang
Arithmetic Progression ($a, d, T_n, S_n$), Geometric Progression ($a, r, T_n, S_n$), sum to infinity $S_\infty = \frac{a}{1-r}$, and recurring loan/saving models.
Hukum Linear
Reduction of non-linear equations to linear form $Y = mX + c$, line of best fit plotting rules, determining constants, and experimental error identification.
Geometri Koordinat
Internal division $m:n$, parallel/perpendicular lines ($m_1 m_2 = -1$), shoelace polygon area, and equation of circular/distance-ratio loci.
Vektor
Vector addition/subtraction, collinearity condition $\vec{a} = k\vec{b}$, unit vectors $\hat{r}$, column & Cartesian forms ($x\mathbf{i} + y\mathbf{j}$), and resultant velocity navigation.
Penyelesaian Segi Tiga
Sine Rule, Cosine Rule, ambiguous case of sine ($SSA$), Heron's formula, 3D triangular spatial visualization, and shortest distance from vertex to line.
Nombor Indeks
Price index $I = \frac{Q_1}{Q_0} \times 100$, composite index $\bar{I} = \frac{\sum I_i w_i}{\sum w_i}$, chain index shifting, pie chart/bar weights, and inflation budgeting.
Sukatan Membulat
Radian angle measure, arc length $s = r\theta$, sector area $A = \frac{1}{2}r^2\theta$, segment area, perimeter of composite figures, and pulley belt geometry.
Pembezaan
Product, quotient, and chain rules; tangents and normals ($m_1 m_2 = -1$); small changes & approximations; connected rates of change; stationary points and optimization.
Pengamiran
Indefinite integrals, finding constant $c$, definite integrals, area between curve and axis or line, and volume of revolution generated by rotating about $x$- or $y$-axis.
Pilihatur dan Gabungan
Multiplication rule, permutations $^nP_r$, identical items, circular permutations $(n-1)!$, combinations $^nC_r$, condition restrictions (together/separated), and passcode security.
Taburan Kebarangkalian
Binomial Distribution $B(n, p)$, mean $\mu = np$, standard deviation $\sigma = \sqrt{npq}$, Normal Distribution $Z = \frac{X-\mu}{\sigma}$, standard normal curve symmetry, and reverse $Z$-score finding.
Fungsi Trigonometri
Trigonometric graphs $y = a\sin bx + c$, drawing linear superposition lines to find number of solutions, proving identities, and solving trigonometric equations within specific domains.
Pengaturcaraan Linear
Formulating inequalities from real-world constraints, graphing the feasible region $R$, and using the objective function line $ax + by = k$ to find maximum profit or minimum cost.
Kinematik Gerakan Linear
Displacement $s$, velocity $v = \frac{ds}{dt}$, acceleration $a = \frac{dv}{dt}$, integration $\int v\,dt = s$, initial instantaneous rest, reversing direction, and total distance traveled.
Mastering both papers requires strategic time management and careful question selection in Paper 2 Section B and Section C.
Duration: 2 Hours • Total: 80 Marks
12 Compulsory Questions. Question weightage ranges between 3 to 8 marks each. Tests core mathematical concepts, algebraic precision, and standard applications.
3 Questions given • Answer any 2 questions (8 marks each). Multi-tier analytical problem solving requiring sustained working and conceptual synthesis.
Duration: 2 Hours 30 Mins • Total: 100 Marks
7 Compulsory Questions (6 to 8 marks each). Covers non-linear simultaneous equations, coordinate geometry, calculus, and progressions.
4 Questions given • Answer any 3 questions (10 marks each). High-yield topics: Linear Law, Differentiation & Integration, Probability Distributions, Circular Measure.
4 Questions given • Answer any 2 questions (10 marks each): Solution of Triangles, Index Numbers, Linear Programming, Kinematics.
SPM exam scripts allocate up to 35% to 40% of marks to KBAT (Higher Order Thinking Skills). To secure the full method ($K$) and answer ($N$) marks: