SPM Add Maths case studies
SPM Add Maths · Put your knowledge to work in context.
SPM Additional Mathematics (often called Add Maths) is a Malaysian upper-secondary elective taken alongside the core SPM Mathematics paper. It is aimed at students planning to enter science, engineering, computing, accounting or actuarial pathways, and it is generally expected for those routes at pre-university level. The SPM Add Maths case studies are 5 cases and about 3,640 words.
1Optimising an Open-Top Box When the Constraint Bites
A packaging workshop starts with flat card sheets measuring 20 cm by 32 cm. Equal squares of side x cm are cut from the four corners, the flaps are folded up and taped, producing an open-top box of height x cm and volume V cm³.
859 words, about 4 min2The Ambiguous Sine Rule on a Surveyed Plot
A surveyor is mapping a triangular plot ABC for a landscaping quotation. Standing at corner A, she measures the boundary AB as 12.0 m along a straight fence and records angle BAC = 35°.
647 words, about 3 min3Where Two Service Paths Cross
A civil engineer is laying two service paths across a triangular development plot OPQ. Relative to a survey marker at O, corner P has position vector p and corner Q has position vector q, with p and q not parallel.
665 words, about 3 min4Decibels on the Factory Floor
A factory floor runs three machines. Measured one at a time, machine A registers 78 dB, machine B registers 75 dB and machine C registers 72 dB, where the sound level in decibels is L = 10 log₁₀(I/I₀) and I₀ = 1 × 10⁻¹² W m⁻².
721 words, about 4 min5Reading a Test Trolley's Motion Model
A test trolley runs on a straight horizontal track. Its displacement s metres from a marker O at time t seconds is modelled by s = t³ − 9t² + 24t for 0 ≤ t ≤ 6, after which a separate braking control system takes over.
748 words, about 4 min