**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]

*Answer and solution:***(a)**

**(b)(i)**

**(b)(ii)**