# SPM Mathematics (Model Test Paper)

SPM Mathematics (Model Test Paper)

Section B
[48 marks]
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.

Diagram 10.1

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.

Diagram 10.2

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.
[5 marks]