SPM Mathematics (Model Test Paper)
Answer any four questions from this section.
15. You are not allowed to use graph paper to answer this question.
(a) Diagram 10.1 shows a solid right prism with rectangular base EFGH on a
horizontal table. The surface EFRJKL is the uniform cross-section of the prism.
Rectangle KLMN and JPQR are horizontal planes. Rectangle JKNP is an inclined
plane. RF and LE are vertical edges.
Draw full scale, the elevation of the solid on a vertical plane parallel to EF as viewed from X [3 marks]
(b) A solid cuboid is removed from the solid in Diagram 10.1. The remaining solid is as shown in Diagram 10.2. Rectangle TUVW is a horizontal plane. JT and BW are vertical edges. UF = 4 cm and UV= 3 cm.
Draw to full scale,
(i) the plan of the remaining solid. [4 marks]
(ii) the elevation of the remaining solid on a vertical plane parallel to FG as viewed from Y.
Answer and solution: