Formula Sheet
SPM Mathematics Formula Sheet (1449)
These are the 39 formulae the SPM Mathematics exam gives you, printed on the paper itself, grouped the way the official format lists them. Anything not here you are expected to remember, so this page also shows what to memorise.
Number and Operations
am × an = am+n
Given in the examam ÷ an = am−n
Given in the exam(am)n = amn
Given in the examam/n = (n-th root of am)
Given in the examI = Prt
Given in the examMV = P(1 + r/n)nt
Given in the examA = P + Prt
Given in the examRelationship and Algebra
Distance = √(x2−x1)2 + (y2−y1)2
Given in the exam(x, y) = ((x1+x2)/2, (y1+y2)/2)
Given in the examAverage speed = Total distance / Total time
Given in the examm = (y2−y1)/(x2−x1)
Given in the examm = −(y-intercept)/(x-intercept)
Given in the examA-1 = 1/(ad−bc) × [[d, −b], [−c, a]]
Given in the examMeasurement and Geometry
c2 = a2 + b2
Given in the exam(n − 2) × 180°
Given in the examπd = 2πr
Given in the examπr2
Given in the exam(θ/360°) × 2πr
Given in the exam(θ/360°) × πr2
Given in the exam(1/2) × product of two diagonals
Given in the exam(1/2) × sum of two parallel sides × height
Given in the exam2πr2 + 2πrh
Given in the examπr2 + πrs
Given in the exam4πr2
Given in the examarea of cross section × height
Given in the examπr2 h
Given in the exam(1/3)πr2 h
Given in the exam(4/3)πr3
Given in the exam(1/3) × base area × height
Given in the examk = PA'/PA
Given in the examarea of image = k2 × area of object
Given in the examStatistics and Probability
x̄ = Σx / N
Given in the examx̄ = Σfx / Σf
Given in the examσ2 = Σ(x−x̄)2 / N = Σx2/N − x̄2
Given in the examσ2 = Σf(x−x̄)2 / Σf = Σfx2/Σf − x̄2
Given in the examσ = √Σ(x−x̄)2 / N = √Σx2/N − x̄2
Given in the examσ = √Σf(x−x̄)2 / Σf = √Σfx2/Σf − x̄2
Given in the examP(A) = n(A) / n(S)
Given in the examP(A') = 1 − P(A)
Given in the exam