P2 Plans & Elevation Test

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P2 Plans & Elevation Test

  1. 1. ppr maths nbk Plans & Elevations Diagnostic Test 1 (a) Diagram 1(i) shows a solid right prism with rectangular base FGPN on a horizontal table. EFGHJK is the uniform cross-section of the prism. Rectangle EKLM is an inclined plane. Rectangle JHQR is a horizontal plane. EF, KJ and HG are vertical edges. L M 5 cm E K 5 cm R 2 cm Q N 2 cm F J P H 7 cm 5 cm G Diagram 1(i) Draw a full scale plan of the solid. [ 3 marks] Answer:
  2. 2. ppr maths nbk (b) A solid cuboid is joined to the prism in diagram 1(i) at the vertical plane PQRLMN. The combined solid is as shown in diagram 1(ii). The square base FGSW is horizontal. U 2 cm 7 cm V T L M X 7 cm E K W R 5 cm N Q S F J P H 7 cm 5 cm G D C Draw full scale (i) the elevation of the combined solid on a vertical plane parallel to FG as view from C. [ 4 marks] (ii) The elevation the combined solid on a vertical plane parallel to FG as view from D. [5 marks]
  3. 3. ppr maths nbk 2. (a) Diagram 2(i) show a solid consisting of a cuboid and a half-cylinder which are joined at the plane HJMN. The base GDEF is on a horizontal plane and HJ = 3 cm. N M H L F J 3 cm K G E 6 cm 4 cm X D DIAGRAM 2(i) Draw to full scale the elevation of the solid on a vertical plane parallel to DG as viewed from X. Answer :
  4. 4. ppr maths nbk (b) A solid right prism is joined to the solid in diagram 2(i) at the vertical plane ELMW. The combined solid is as shown in Diagram 2(ii). Trapezium PMWU is the uniform cross-section of the prism and PQRM is an inclined plane. The base DEUTSWFG is on a horizontal plane and EU = 2 cm. P Q N M R 5 cm H L F J 3 cm K S W T G 2 cm E U 6 cm 4 cm D Y Draw to full scale (i) the plan of the combined solid, [ 4 marks] (ii) the elevation of the combined solid on a vertical plane parallel to UT as viewd from Y. [5 marks ] Answer: (i) (ii)
  5. 5. ppr maths nbk 3. Diagram 1 shows a solid consisting of a right prism and a half cylinder. ABQRS is the uniform cross-section of the prism. Rectangle RSTU is an inclined plane while rectangles ABCD and PQRU are horizontal planes. The edges AS, DT, CG and BQ are vertical. CD is the diameter of the half cylinder. T H F S E S G U P 7cm Q R Q D 4cm C A 4cm 8cm X B Y DIAGRAM 1 Given that CG = DE = 5 cm, PU = QR = 6 cm and both R and U are 4 cm vertically above the base ABCD. Draw to full scale, (a) the plan of the solid, (b) the elevation of the solid on a vertical plane parallel to BC as viewed from X, (c) the elevation of the solid on a vertical plane parallel to AB as viewed from Y.
  6. 6. ppr maths nbk 4. (a) Diagram 2(i) shows a solid right prism with a rectangular base ABCD on a horizontal plane. The surface ABFE is the uniform cross-section of the solid. The rectangle EFGH is an inclined plane. The edges AE, BF, CG and DH are vertical. Draw to full scale, the elevation of the solid on a vertical parallel to AB as viewed from X. G H H F D C 4cm E 6cm 2cm A 8cm B DIAGRAM 2(i) X
  7. 7. ppr maths nbk (b) A solid cuboid is joined to the solid in Diagram 2(i) at the vertical plane BCQP to form the combined solid in Diagram 2(ii). The base ABJKSCD is resting on a horizontal plane. DCS is a straight line. G Q R Q H F D P C S E M L 8cm 3cm Y A B J K 3cm DIAGRAM 2(ii) Draw to full scale, (i) the plan of the combined solid, (ii) the elevation of the combined solid on a vertical plane parallel to KS as viewed from Y.
  8. 8. ppr maths nbk 5. (a) Diagram 3(i) shows a solid tin ingot in the shape of a right prism where the trapezium BCHG is the uniform cross-section. The rectangular base ABCD rests on a horizontal plane. The rectangle EFGH is a horizontal plane. The rectangles ABGF and CDEH are inclined planes where ∠ BGH = ∠ CHG. E 11cm H F 8cm D G A C 11cm 2cm B X DIAGRAM 3(i) 4 It is given that BC is 4 cm directly below GH and tan ∠ BGH = . 3 Draw to full scale, the elevation of the solid on a vertical plane parallel to AB as viewed from X.
  9. 9. ppr maths nbk (b) A solid cuboid is joined to the ingot in Diagram 3(i) at the vertical plane BCWV to form the combined solid shown in Diagram 3(ii). The base ABPQCD is resting on a horizontal plane. The edges DCQ and ABP are straight lines. T 2cm R U E 8cm S H F W 6cm G V D D A C Q 11cm B 3cm P Y Draw to full scale, DIAGRAM 3(ii) (i) the plan of the combined solid, (ii) the elevation of the combined solid on a vertical plane parallel to PQ as viewed from Y.
  10. 10. ppr maths nbk Answer to Plan & elevation Diagnostic test: 5 cm 2 cm 1 (a) (b) (i) (ii) 2 cm 5 cm 7 cm 3 cm 5 cm 2 cm 5 cm 2 cm 2 cm 5 cm 2 cm 7 cm 2. (a) (b) (i) (ii) 2 cm 3 cm 2 cm 2 cm 3 cm 3 cm 3 cm 5 cm 6 cm 4 cm 4 cm 2 cm
  11. 11. ppr maths nbk 3 (a) 4cm 2cm 6cm 1 (b) (c) 3cm 1cm 5cm 7cm 6cm 4cm 4cm 4cm 4cm 4cm 8cm 6cm 4 (a) (b)(ii) 2cm 1cm 1cm 4cm 2cm 2cm 8cm
  12. 12. ppr maths nbk 4 (b)(i) 6cm 8cm 8cm 3cm 5 (a) 4cm 11cm (b)(i) 11cm 3cm 2cm 3cm 3cm
  13. 13. ppr maths nbk (b)(ii) 2cm 3cm 3cm 4cm 2cm

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