STP MATHEMATICS NATIONAL CURRICULUM
STP MATHEMATICSN A T I O N A LC U R R I C U L U M9AANSWERSCURR COIC VERUL SUM THRE E LQU ATIR ESTEMENTSL BOSTOCKS CHANDLERA SHEPHERD E SMITH
STP MATHEMATICSN A T I O N A LC U R R I C U L U M9AANSWERSL BOSTOCKS CHANDLERA SHEPHERD E SMITH
Text # L. Bostock, S. Chandler, A. Shepherd, E. Smith 1997, 2001The right of L. Bostock, S. Chandler, A. Shepherd and E. Smith to be identified asauthors of this work has been asserted by them in accordance with the Copyright,Designs and Patents Act 1988.All rights reserved. No part of this publication may be reproduced or transmitted inany form or by any means, electronic or mechanical, including photocopy,recording, or any information storage and retrieval system, without permission inwriting from the publisher or under licence from the Copyright Licensing AgencyLimited, of Saffron House, 6-10 Kirby Street London EC1N 8TSFirst published in 1997 byStanley Thornes ( Publishers ) LtdSecond edition published in 2001 by:Nelson Thornes LtdDelta Place27 Bath RoadCHELTENHAMGL53 7THUnited Kingdom10 11 /109A catalogue record of this book is available from the British Library.ISBN 978 0 7487 6496 9Page make-up by Tech-SetPrinted in India by Multivista Global
c i 1 19Answers are supplied to questions asking for estimates butthere is no correct' estimate; we have given a likely value.Allow a reasonable margin of error for answers read fromgraphs.Possible answers are given to questions asking for opinions orreasons or interpretation; any reasonable alternative is also valid.Visit www.nelsonthornes.com for a downloadable file of Year 9lesson starters.376.7.8.9.10.11.Summary 1Revision Exercise 1.1 (p. 16)1. a 1 1324b910c 12. abc3. abc4. abcd5. abcd6. abcd7. abcded 1 1748g 2 15ehg 2 56kh 1l711261 23422 1112183140148112494 12251 122313 3613673059110102173013212 40.6480.7104efghefghefde11121 3412011 4053 1847322ighighf 2i14ie7f 4 cdi 0.36ii 0.9521i 17ii2050i 44%ii 28%85%, 0.853, 0.37584. abcd5. abc6. abc4. abcd5. aiiiiiiiib iii8 2518 kg 69617.0 km20%2:31:2:39:22:5ii 4 14ii 19.8 gii 144ii 0.599 mii 1340iii 2 : 3iv 7 : 5iii 17 : 60iv 2 : 125iii iii 185iiiiiiiiiiiiiiivvivvi625e139f5280g24000hi 64ii 243ii 73i 273i 2 5 33 iii 21ii 18iii 40iv 1225e81f32g125h27dnot possiblee54f1e211056i 297j 20 r 9192k 174769l 14 r 17iii 504iii 54iv 36222 3 7 13 iii 23 52 32v 78iii 11vi 20iv 3b i 2v 8ii 3vi 14144i 3251600j 8010864k 7202744l 1 100 00025g 3317h 2643i 5611i 168f136j 12 14c 3g 125kd 1 12h 36l7. a i 2.65 102iii 7.67 104 vii 1.8 10 1iv 7 10 6vib i 0.0345iii 0.73vii 0.0501iv 0.000 637 vi8. a 2.7852.78f 7.820b 0.1570.157g 3.299c 0.0730.0733h 0.001d 0.1510.151i 0.010e 254.163 2549. a 41.3d 132gb 239 000e 29.2hc 2.08f 61.7iiv 0.825iv 18iv 92.5%5, 62.5%823, 0.057540023,115%20ef 475%, 4.753. a i ii 49b i 17ii7924iv 1vi 22.5iid i 20, 25iii 0.625 kg, 1.25 kg, 3.125 kgii 54 m, 42 m iv 30 min, 2 12 h, 4 ha 1 : 10000b 4 cma 24.50b i 37ii 25.689a 16bi36%ii 0.36iii 25254.85a 21b 12%c 0.46d 148550a i 24 ii 25.5 cm iii 24 kg9b 34 of 5c 35 of 101. abcd2. abc3. a1.30.0432.40.0360.0364iii 0.54iii 1320iii 138%v37Revision Exercise 1.3 (p.19)Revision Exercise 1.2 (p. 17)1. abc2. abiii 7 12iv iv 39496 47iv 1 1712.6 m234 cm2 iv 28.6033.1 mm30.56%iv 163:5:418 : 8 : 99 : 2050 : 310. a7.58.5b1516c123124Revision Exercise 1.4 (p. 21)1. ab2. abcde1p 70 q 110x 70i 24ii 18i 135ii 160i 24ii 20i yes 9ii noi yes 6ii yes 18c p 50d x 27123 378114.5 1059.2 10 2140 000283 0007.823.300.000 9260.009 643.1140.20.113
3. a 20 cm2b 10 cm2c 17 cm2d 19.35 cm24. a 12 sq unitsc 12 sq unitse 24.5 sq unitsb 30 sq unitsd 16 sq units5. a 4 cmc 5 cme 4 cmb 4.5 cm2d 5 m, 25 m26. a 60 cm2b 40 cm2c 30 cm27. a i 4.804 mii 1015.96 giii 116 inchesb i 4.5 cmvii 6000 cm2ii 560 mviii 432 sq inchesiii 4 feetix 5 cm3iv 39 feetx2000 cm32v 500 mmxi 4 m32vi 0.4 mxii 720 cubic inches8. a i 50.3 cmii 201 cm2b i 35.7 cmii 54.4 cm2c i 65 cmii 69.3 cm239. a 2025 cmb 900 cm3c 2262 cm3310. a 23.94 cmc 5 cmb 1130 cm3d 1447.5 g11. a 2.79 mb 25.2 mm c i 5.19 cm ii 6.09 cm12. a (5, 5)b 107. abc8. abcdRevision Exercise 1.7 (p. 29)1.2.3.4.5x 213a 210x 12x 6efgh2x 66a 36 3x6x 8d 7a15e 232. a 24abcb 40x 2 y3. ab4. a5. abcd6. ai 4i 1.5C 6x54210i x 10ii x 4 5v x iii x 5i 1 x 8i 2 x 4x 3, y 1x 4, y 3 4.80vi x 4ii 2 x 4ii4 x42c x 2, y 5d x 3, y 3b 0.686bc7. ab8. a6123456c 37.5%b 9.629c 20123456(1, 1)(1, 2)(1, 3)(1, 4)(1, 5)(1, 6)(2, 1)(2, 2)(2, 3)(2, 4)(2, 5)(2, 6)(3, 1)(3, 2)(3, 3)(3, 4)(3, 5)(3, 6)(4, 1)(4, 2)(4, 3)(4, 2)(4, 5)(4, 6)(5, 1)(5, 2)(5, 3)(5, 4)(5, 5)(5, 6)(6, 1)(6, 2)(6, 3)(6, 4)(6, 5)(6, 6)b 10c 3055. a 12b 14c 23d 136. a no correlationc strong positive correlationb moderate negative correlation7. a i 42 cmii 20 cmi10x 35j a 20k 4x 6l 182f 50x9ii 14ii 8b un 3n 1e 3f 5.5g 32h 53iv x 4 4c 60ab2b 18a 1940a mode 8, median 9, range 677a 20b 10a1st dice2nddiceRevision Exercise 1.5 (p. 25)1. abcdi 105 milesii 5 milesi 1 h 15 minii 2 h 24 min12 km/h35 milesNina: 2 h 24 min, father 1 h 45 minfather by 5.4 mph1330 at 15 miles from Fbg 6a2h xyi4iii 4iii 18hf18 h 4 2323 h 4 2828 h 4 3333 h 4 3838 h 4 437248174c i 29ii 39e i and ii yd 23 h 4 2825i 7j 14201510vii x viii x 5ix541550x411843 x8. a 36b 100 sc yes (18 out of 36)d not possible to say; 36 were timed but more may have run.iii x 1e x 19, y 2f a 3, b 1Chapter 1Exercise 1B (p. 33)1.Revision Exercise 1.6 (p. 26)1. a Cb Dc A, B, Ed none2. (3, 1), scale factor 313. a i 3, 0ii 2, 6iii,32b i y 4x 2ii y 4x 3c a 1, b 14. a y 2x 2b i obtuseii obtuseiii acuteiv acutec i neitherii paralleliii perpendiculariv perpendicular5. C6. abyy213.1.451.550.550.6501514.3. 6.256.x102.5.x50 0.030.1319. 0.24520. 0.51521. 1.14522. 6.88523. 12.25524. 0.0450.2550.5251.1556.89512.2650.055
25.26.29.30.31.33.34.36.37.39.40.3.4.5.6.5.55 4 w 5.6527. 12.45 4 x 12.552450 4 x 255028. 74 500 4 x 75 5001.245 4 d 1.255a 1.55 4 x 1.65b perhapsc not accurate enough for measuring the space for a newcupboard452.5 4 x 457.532. 97.5 m395 g 4 weight of pack 405 g2985 cm 4 length 2995 cm, 10 cm35. 276 cm33.5 mm 4 cube side 34.5 mm but34.15 mm 4 box side 34.25 mm so the cube may belarger than the box364 days38. 249 4 x 251a 118 mmb 1 073 800a The scale shows that one nail has weight between 7.5 gand 8.5 g.b 7.75 g148. 4 122. 29.3. 2 1210.4.11.1105. 86.7.12.3 23110013.5822.16. 6 1423.17.24.14812312491184 1218.19.20.14. 21. a2. a3. a2.3.4.5.6.720271255125091 2512 1835 10571104 2342b5. a6. a7. a29.72030.31. 332. 312712314037.38.39.33. 1440.34. 741.35.9501.236. 1 252.25226311421681 14141363. a126161674117120011 1001110012 20131 125110 000b14. ab 1252is both even and prime1455. a143101. a 8.4 105b 1.08 10102. a 2 103b 3 10 23. a 3.2 103b 3.2 10 24. 1.49 10 101. a3. a1311313b21. 0.161. a16. 0.2422. 0.312517. 0.062523. 2.3752. a 0.83. b 2518. 0.5424. 0.0024.6. a136326ccdb14cc14164. 0.545. a25c0.50.511. 0.2312. 0.076923213b213d 0.64Crossby0.7hits0.3misses0.7hits0.3missesmissesb 0.15c 0.15Day 11545anowaitb1,6bDay 215wait45no wait15wait45no waitwait1256. a iii1625cExercise 2A (p. 44)BlueExercise 2B (p. 45)16656not 616664. or56not 656ib independent31,3682556Red16340hits5.1.54 10 4e 3.2 10251.15 10f 7.8 10 251.4 103 1003.31 1054.13 10 35. 2.23 10 3dc 0.042c 15a 0.351225720Becker9. 0.41610. 0.07142853. or916b6251434Exercise 2F (p. 52)Chapter 22. andb20. 0.15625cc1312656b15. 0.6d34bExercise 2E (p. 50)42. 214. 0.125ccdcdcdb19. 1.7511811062512234. aExercise 1F (p. 42)1. exclusive2. a exclusiveb431174732631213. 0.158. 0.054. 0.0613. a 591. orb7. ab not independent (you cannot eat the same sweet twice)2. aExercise 1E (p. 41)1. 0.35. 0.1428572. 0.26. 0.0833. 0.837. 0.0 999exclusiveindependentindependentdependent4. a(ignoring the chance that it is in a pocket in agarment in the car!)Exercise 1D (p. 40)1.bbbbExercise 2D (p. 49)15.41525516581 13independentexclusiveexclusiveindependentExercise 2C (p. 47)Exercise 1C (p. 39)1.aaaaii5,36not 6iii536iv518d 0.35c1169
7.Girlsfair35dark25fair35dark26dark1st card16no card56card581;2416no 89c i 0.007738ii 0.1646b13. a 0.04875380.3rain0.70.3no rainrain0.7no rain0.3rainno rain14b 33.60 38.25 16.15 14.309. 32.2510. a 12.2611. loses 31 p 200 17.91 13.60 50 160 17 160 2000 120 12521.22.23.24.25.26.27.28.29.30.b 14.87b140.70.3no rainrain0.7no raind i 0.57939 ii 0.420614. a5. ac14 260 184 92 12 650 160850 cm325 cm 1546a 335 b 108.547812d6. a332415463bbb15321529ccc7162559d3. 33 13 %5. 37.507. 44 275 13.694. 12006. 172a 7.20b 6.90a 70%b 32.50a 180b 150% 35 500a 69.99b 10.50a 154.10b 161.84labour 33, parts 27.50, VAT 13.83 45.38 103.70a 383b 2.47c 43 p 250a i 28.80ii 60.00b i 55.00ii 82.50; 0.8;the multiplying factor that changes P to S, 80%c 80%d 20%20. 2.97b 0.04375b 4.15.16.17.18.19.no rainc411 70 40 16 6 32 800 448 20 40 801. 77 520Exercise 2G (p. 57)3. a5.6.7.8.Exercise 3F (p. 71)rainno rain2. a 0 28 92 25.60 58rainrain411d 116 525Exercise 3E (p. 68)no card1 because the outcomes cover all possibilities,i.e. they are certain.10. a 18b 18c 3811. a Sunday, becauseP(rain on Sunday) P(rain on Saturday)bSatSunMon1. a 1200 1610 1770 2112 4270card3412. a6. 1899.8011.7. 330012.8. 160013.9. 400014.10. 768015.b 2900.02 c 755b 2716.54 c 755b 6498c 11 926Exercise 3D (p. 66)R9.c7202nd Class 1150 1840 1495 2875 1483.50a 1158a 1126a 8088L420a1.2.3.4.5.16.17.18.fair468.Exercise 3C (p. 64)815Boys25821Chapter 3Exercise 3B (p. .13.14.24% 56.00 142.08 60.90 18.00 27.00 80.0015.16.17.18.19.20.21. 12.00 21.60 18.00 24.30 21.00b 8b 70 p22.23.24.25.26.27.28.same 34.50 75.52 9.87 43.70 702.00 9.48Exercise 3G (p. 73)1.2.3.4.5.4 30 731.25 26.40 425 215.806.7.8.9.10. 373.768.5% 41.28 250a 1000b 12 500
Exercise 3H (p. 75)Exercise 4E (p. 5.6.11.12.13.14. 424. 191.777. 252.68 76.325. 143.998. 69 984 103.886. 206.729. 76.04 768.0011. Charles 15 360, David 51 840a i 12 300 ii 6781.83b 54.8%a i 6560 ii 4410.94b 44.9%a 4.30b 4.80a 3880b 4500a i 330 ii 280 iii 230b false, true, false, truea i 21100 ii 22261b i 18 957 ii 17 969a 2b 4c 8start of 2015a 2b 9a (1.08)Pc (1.08)6 P 1079.46d (1.08)n Pb (1.08)2 P15.b 3.6 107x2468y10203040c 1.35 105Exercise 4F (p. 92)3. 3245.504. 40%5. 15 km/litre6. a 3816 b 20011. 5.5 hours2. 203 lines3. 1210.Puzzlepq 2734.38Chapter 4proportionalneitherneitherproportionalinversely proportionalinversely proportional4. 8 days5. 25 cm6. 20200.5520.5207. 16 cm8. 489. 490.01100 0Exercise 4G (p. 93)1.2.3.4.5.6.13.Exercise 4A (p. 82)1.2.3.4.5.6.b 3 h 36 minb 225 miles7. 528 p9. 20.25 cm8. 66 rows 10. 480 pesas16. 19 p 10.2 p 4.4 p 33.6 p 1 p 82.6 p 83 p(to nearest p)Exercise 3I (p. 79)1. 218.402. 79.203.2 litres3 hoursa 12.5 unitsa 70 321.78700 bottles65.6 kma 2.25 10715 volts24.7 rneithera 17 743 lira b 3.04 francs7. 24 145.358. 343.5 hours9. 1.44 mnot possible10. 6 weeks4.46 cm11. not possible4912. 1.5 ampsa directly proportionalc inversely proportionalb neitherExercise 4B (p. 83)1.2.3.4.5.6.7.8.9.18.19.20.25 : 24a 3:2 ba 2:3 ba 1:1 ba 1:9 b1 : 1.51 : 2.41 : 0.8571 : 2.73 38/tonne70 p/doz15 p/cmExercise 4H (p. 95)2:3 c 3:59 : 5 c 21 : 23 d 6 : 51:2 c 1:8 d 1:1 e 1:3 f 1:81:4 c 4:910. 1 : 0.614. 1 : 1.4311. 1 : 2.6315. 1 : 0.7512. 1 : 1.3316. 1 : 0.33313. 1 : 0.7517. 1 : 1.7821. 72 p/20 screws22. 500 ml bottle1.2.3.4.3.6114.3 km6 h 40 min3 kgb 1 122. a i 0.35b i6. 15.5 km7. 4 13 km8. 9.809. 8.3010. 1.5 p7. ab 118.8 kmb 7.928. a9. b11. 1.5 m12. 5.5 cm10. b2518161549827c 2 12ii 0.3125 iii 0.0025 iv 0.46875ii783iii 200b 0.5714285b 95. a 195 4 n 205 b 2.465116. a 26b 26Exercise 4D (p. 86)5. 1.2011203. a 0.064. a 51. 570 ml2. a 280 ml b 170 ml3. 600 g4. a 12 : 15 : 14b 878.05; 1097.56; 1024.395. a James 25.21, Sarah 45.01b 1.233. a 72 km4. a 1.65b 1 : 1.2Revision Exercise 2.1 (p. 99)1. a 6b 10.80b 34 unita 0.6 : 1 7.50 37.503.9 minSummary 2Exercise 4C (p. 85)1. a 2.702. a 6 units5.6.7.8.bbcc213212264914272.4726iv 2 125c 0.916c 4.52.475ccc1676132112
Exercise 5D (p. 107)Revision Exercise 2.2 (p. 101)1.2.3.4.5.6.1. 1363. 855. 822. 39.954. a 2029.75 b 16%6. a i 1 : 1.8ii 1 : 0.8iii 1 : 2.33b i 1.75 : 1 ii 0.125 : 1 iii 3.67 : 17. a 4 : 3b 3:4c 3:78. a 19.50b 200 miles9. 7 days10. 12 daysx 2 9x 20a2 7a 10x 2 9x 20a2 7a 10x 2 14x 48a2 17a 707.8.9.10.11.12.x2a2a2y2z2p214x 4817a 703a 103y 186z 403p 4013.14.15.16.a2 3a 70y 2 8y 20z2 11z 12p2 11p 26Exercise 5E (p. 9.20.21.Revision Exercise 2.3 (p. 102)1. a 34.7 cm2. a 1 123. a 2 134. a 796. a 3 weeks7. 6144b 3.5 m 4 thickness 4.5 mb 1 57c 23b 1.7 2c 1140b 295. a 1748b 22b 88 0008. 5929. 10 daysRevision Exercise 2.4 (p. 103)1. a 0.818 b 40.90; 40.91; using a corrected numberfor further working introduces errors1912. a 23b 15c 1503. a4. a5. b14273204156. 448. a 446.25b 1 12cbcc3823452321407. 659. 1200b 9415.93Chapter 55. 15xy 5xz6. 16xy 12yz7. 6np 10nq8. 3ab .20.21.22.23.24.25.26.27.28.29.30.9. 16rt 8rs10. 3ab 15ac11. 12xy 8xz12. 3xy 6xzExercise 5B (p. 105)1.2.3.4.5.6.7.8.9.10.ac ad bc bdps pt qs qt2ac 4ad bc 2bd5xz 15x 2yz 6yxz 4x yz 4yac ad bc bdxy xz y 2 yz6ac 2ad 3bc bd5xz 10x 4yz 8y15x 3xz 10y 2yz11.12.13.14.15.16.17.18.19.20.2ps 3pt 2qs 3qtac ad 2bc 2bd6uw 30ur 5vw 25vr6ac 9ad 8bc 12bd9xz 6x 6yz 4y12pr 9ps 4qr 3qs9ac 12ad 12bc 16bd21x 14xz 6y 4yz10ac 4a 5bc 2b15a 10ad 12b 8bdExercise 5C (p. 106)1.2.3.4.5.6.7.8.9.10.x 2 7x 12x 2 6x 8x 2 7x 6x 2 7x 10x 2 11x 24a2 9a 20b2 9b 14c2 10c 24p2 15p 36q2 17q 28.29.30.31.32.33.34.35.36.37.38.39.40.41.42.25y 2 49x 2 116x 2 8x 3510 3x x 28 2x 3x 21 2x x 220 y y 221 4x x 22 7x 4x 26 5x x 220 2p 4p26x 2 5x 14 8x 5x 23 19x 6x 26 29a 35a28 10x 3x 215x 2 26x 812 13x 14x 29 27x 20x 212 p p2x 2 3x 47.48.49.50.51.52.53.54.55.56.57.58.59.60.9a2 12ab 4b29a2 6ab b2p2 8pq 16q249x 2 28xy 4y 29s2 24st 16t 29s2 6st t 2x 2 4x 4x 2 12x 36a2 20a 100x 2 2xy y 2x 2 6x 9x 2 14x 49a2 2ab b2u 2 2uv v 29x 2 6x 125z2 10z 1100a2 180a 8116x 2 24x 94a2 4a 116y 2 8y 149b2 28b 425x 2 30x 94y 2 4xy x 225x 2 10xy y 29m2 12mn 4n249x 2 42xy 9y 2a2 6ab 9b2m2 16mn 64n225a2 20ab 4b29p2 30pq 25q2Exercise 5F (p. 110)Exercise 5A (p. 105)1. 2x 22. 3x 33. 4x 124. 3x 62x 2 3x 15x 2 12x 45x 2 17x 63x 2 19x 203x 2 5x 23x 2 11x 64x 2 7x 37x 2 23x 66x 2 13x 612x 2 25x 1210x 2 3x 1821a2 58a 2110x 2 31x 1521x 2 20x 412x 2 5x 26b2 5b 254a2 99b2 4949y 2 2520a2 a 1216x 2 9x2x2a2x2b2x2x2b2a2p25x 612x 3510a 1613x 3010b 257x 1212x 326b 88a 1615p 5621.22.23.24.25.26.27.28.29.30.x2 x 6x 2 x 20x 2 3x 28a2 7a 30p2 25x 2 5x 14x 2 x 30x 2 9x 10b2 b 56z2 11z 126x 2 2x 1x 2 4x 4a2 6a 9b2 8b 16x 2 2xz z2y 2 2xy x 2c 2 2cd d 2m2 2mn n2a2 18a 81t 2 20t 100x 2 24x 144x 2 16x 64p2 14p 49p2 2pq q2a2 2ab b2e2 2ef f 2u2 2uv v 2M2 2Mm m24x 2 4x 116b2 8b 125x 2 20x 436c2 12c 19a2 6a 14x 2 20x 259a2 24a 1616y 2 24y 99W 2 12W 4x 2 4xy 4y 29x 2 6xy y 24x 2 20xy 25y 2
Exercise 5G (p. 2x29.10.11.12.13.14.15.16.7.24x19x 2 149a2 425a2 1625x 2 14a2 9100m2 136a2 2517.18.19.20.21.22.23.24.29x16y4a2 25b21 4a249y 2 9z2100a2 81b225a2 16b21 9x 29 25x 22x 9x 122x 2 9x 2x 2 15x 32a2 9a 362a2 10a 3x 2 13x 25x 2 2x 21x 2 2x 2316x 2 6x 1012x 2 8x 2011.12.13.14.15.16.17.18.19.5x 1024pq 16pr6a2 13ab 5b212x 2 17x 5x 2 16x 60x 2 20x 9616y 2 16y 2116y 2 8125x 2 20x 44a2 28ab 49b28 20x16a 24a212a2 35a 3399 2x x 25 48x 20x 28.14.3. Identity4. Identityx y6xy 925 10yz y 2 z2x 2 y 2 8xy 169p2 q2 48pq 64a2 2abc b2 c2a2 b2 4ab 436 12pq p2 q2m2 n2 6mn 9u 2 v 2 4uvw 4w 216.17.18.19.20.21.22.23.24.25.26.27.28.29.30.9.5. Expression6. Identity242x224 25.15.yy4242x 2 224x 210.16.yy4422246 4 2x 217.y42224 4 2xx24x 2 212.18.yy4422 224 2x 219.20.21.22.26.27.28.31.4y4 4 27. Expression8. Equation2 211.242468 2No, Yes, Nox4223. 2 4 y 4 2y 324. 1 4 x 2x 125. 0.5 y 2.5Yes, Yes, No, Yes, No, No34x4129. 2 4 y 34 y 130. 3 4 x 4 6Yes, No, Yes, NoExercise 6C (p. 124)x1.y3.yy242422 22424x6.2.224x 22x42 2 2y2 2 2 2xy 2x2xy 244 23.x4 2y24y2y 2 4yz 4z236y 2 24yz 5z216a2 8a 125a2 70a 4936z2 156yz 169y 26 3a8ab 4ac10ac 25ad 4bc 10bdx 2 19x 84a2 16a 63a2 a 206x 2 11x 325x 2 49x 2 42x 4925x 2 4y 24.y 22 42 2Exercise 6B (p. 120)2.2xy 2Chapter 6 222Exercise 5J (p. 116)1.4 221. Identity2. Equation62 2Exercise 5I (p. 116)1.2.3.4.5.6.7.8.9.10.11.12.13.14.15.y4 4 2Exercise 5H (p. 114)1.2.3.4.5.6.7.8.9.10.13.y24.y224 2 2x 27y42x224xxx
5.7.y215.y19.y4424 4 2 22x2228.y2 4 2 2x4 26.y16.224x620.y2x42x4 2 229. 2 4 x 4 3, 1 4 y 4 210. 2 x 4 2, 2 4 y 4 111. 9: Yes, 10: No12. 2 4 x 4 1, y 5 113. x 0, y 014.15.16.17.18.2 42 x 2, 2 y 21 x 3, 1 y 4 3x 5 2, y 4 1x 1, 2 y 216: Yes, 17: No217.21.y24 2 2 4 2 2Exercise 6D (p. 127)8.y 2269.x24610.y 2 2x2x4Exercise 6E (p. 129)2x821.2.3.4.5.6.7.x4y422x22y6 242x4y2 24422.4 4 2y3.4x4222 4x2y222.18.y4x4y621.y4x4 2 4x262 2 2y6 2x42x y432x y 5 2x 2y 2x y 23x y 4 32y 3x 4 6y4x 18.9.10.11.12.13.y 2x 4y 5 12 x 2y x 2y 5 74 x 2y 12 x 2y 4 2x 2 24.11.yy4422 2 2x21. 22 2242x2. 445.yy242x6y4 4 2 22 4 2 2x 2242x26xx64x14.y3.y6.yy44662244222 24 4 227.22 2613.4 2xx4 2 2y2 4 2 22 4 244x4y42y6212.y4.y 25.6.Exercise 6F (p. 132)4x 2 224x2846x24
7.10.y2Exercise 6H (p. 135)y1.2.3.4.5.6.7.8.9.x 5 1, y 5 2, x y 4 3y 4 x 3, 2y 5 x 6y 5 0, 2y 4 x 2, x y 4 4x 4 1, y 4 x 1, 3x y 3y 1, x y 3, y 4 2x 2y 3x 3, y 3x 3y 5 0, x 5 1, y 4 x 2y 4 13 x 1, y 5 13 x 1, y 5a x y 4 3, 4y 5 x, y 4 x 3b 4y 4 x, x y 5 3c y 4 x 3, x y 5 3, 4y 5 xd 4y 4 x, x y 4 3, y 4 x 3e y 5 x 3, x y 5 3f 4y 5 x, y 4 x 310. a x y 4 1, y 4 2x 4b y 4 2, x y 5 1c y 5 2, y 4 2x 4d y 5 2x 4, x y 5 1e x y 4 1, y 5 2x 4f y 4 2, y 4 2x 411. a Cb A42 28.x811.64246xy24x 22 29.2 2y246x12. It does not exist13. a Region consists of onepoint (1, 2)b Yesy422x4Exercise 6G (p. 134)1. y6.y4826241. a x 2y, y 5 2b 4x 5y 4 65c (pens) y222.y 24 42 6 224486x7.y 2y4O 242648.xx (pencils)10428x 26 445O2 6 4 22y 24 4249.xy 24 42 25101520x small tentsd i (15, 6)ii e.g. (5, 10), (10, 8) or (20, 4)e There is only one point, (15, 6), in the area with integercoordinates that lies on the line. Other points in the regionthat lie on the line do not have integer coordinates.3. a 1.5x 0.5y 4 60 or 3x y 4 120b x 5 20c y 5 2xd pots yx260246x5010.5.15c 2x 5y 6010 24.10large tents yy252. a y 5 5, x 4 20, x 5 2yb 2yy 2x523.c Bd 14e 3 pens and 12 pencils10 2 47y 4x 135 8xxExercise 6I (p. 137)4x53y240y 2424x 2O2246202530x trayse e.g. (22, 46), (22, 50)The number of trays and the number of pots mustbe integers. 4x9
4. a a 500, b 1c y7.8.9.10.11.12.13.b y 5 200d 350, yese no, (260,
stp mathematics 9a s chandler e smith l bostock a shepherd cover test curr icul um requirements national curriculum. answers national curriculum stp mathematics 9a s chandler e smith l bostock a shepherd ˇˆ ˆ ! ˇˆ "ˆ ˆ!ˆ # ! ˆ " "% ˇˆ ˆ % ˆ & ˆ ’ (( ˆ ) * ! ˆ #" ˆ ˆ ˇ %" # ˇˆ ˆ %! ˇ "% %ˇ ˆ ˇ ˆ ˆ # ˆ % ˆ %ˆ ! ˇ ˆ .
The Red Jacket Product Portfolio The Red Jacket 4" STP Portfolio Fuel Compatibility The Red Jacket STP The Red Jacket Alcohol Gas STP Red Armor STP 2 2 The Red Jacket Fixed Speed STP Virtual Siphon - Automation Maxxum STP CoreDEF STP 7MXI 'SR ¼KYVEXMSR The Red Jacket DEF Pump LPG Premier STP Combat Corrosion Sump-Dri Desiccant System
Spanning Tree Protocol (STP) Page 6 Spanning Tree Protocols: STP, RSTP, and MSTP Spanning Tree Protocol (STP) STP uses the process described in Table 1 on page 4, to avoid loops. STP port states In STP mode, each switch port can be in one of five spanning tree states, and one of two
STP –Spanning Tree Protocol indigoo.com Contents 1. Goal of STP: Loop-free topology for Ethernet networks 2. STP standards overview 3. IEEE 802.1D STP protocol 4. IEEE 802.1w RSTP Rapid STP 5. IEEE 802.1Q CST Common Spanning Tree 6. Cisco PVST and PVRST 7. IEEE 802.1s MST Multiple Spanning Tree Protocol 8. STP Pros and Cons
Softswitch Operations [2/3] n Inter-Softswitch Communications Local Switch STP Trunking Gateway Signaling (SS7) Gateway Media Gateway Controller STP Trunking Gateway STP Media Gateway Controller Signaling (SS7) Gateway STP STP Domain A Domain B Local Switch Routing Directory 3 1 5 2 ISUP IAM 4
treatment facility CIP recommendations presented in Chapter 9 Recommended Wastewater CIP of this volume. This evaluation will focus on the seven treatment facilities located on Guam, as shown in Figure 5-1 Location of Sewage Treatment Plants. Agat-Santa Rita STP Hagatna STP Baza Gardens STP Umatac-Merizo STP Northern District STP (NDSTP)
1.1 The Single National Curriculum Mathematics (I -V) 2020: 1.2. Aims of Mathematics Curriculum 1.3. Mathematics Curriculum Content Strands and Standards 1.4 The Mathematics Curriculum Standards and Benchmarks Chapter 02: Progression Grid Chapter 03: Curriculum for Mathematics Grade I Chapter 04: Curriculum for Mathematics Grade II
802.1s (Multiple STP or MST / MSTP): Maps multiple VLANs into the same spanning-tree instance 802.1w (Rapid STP or RSTP): Improves convergence over 1998 STP by adding roles to ports and enhancing BPDU exchanges PVRST : A Cisco enhancement of RSTP using PVST PVST, RPVST: STP a RSTP instance for each VLAN in the ISL network
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