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Exercise 417 cm7 cm7 cm29 cm7 cm8 cm3ABANSWERS4 Measure and check arcs are included.5P2010 m 18OPrize16A6 x 5 143° , y 5 37° 7 x 5 30° , y 5 60° 8 x 5 69° , y 5 42°9 x 5 65° , y 5 115° 10 x 5 40° , y 5 140° 11 x 5 77° , y 5 103°12 x 5 60° , y 5 120° 13 x 5 25° , y 5 115° 14 x 5 100° , y 5 75° , z 5 135°Exercise 4*1 a 36 b 144° c 1440° 2 a 22 sides b 16 __ 4 ° 3 b 30 m approx4 x 5 46 2_ 3 °, y 5 133 1_ 3° 5 x 5 66° 6 x 5 160°7 x 5 36°, y 5 106°, z 5 38° 8 x 5 70°, y 5 60° 9 x 5 60°, y 5 30°10 x 5 30°, y 5 120° 11 x 5 36° 12 x 5 20°13 x 5 y 5 33°, z 5 83° 14 x 5 150° 15 x 5 36°Exercise 51 a Any multiples of 3 b Any negative integers c Any sport d Any make of car2 a {multiples of 3} b {negative integers} c {sports} d {makes of car}3 a 2, 4, 6, 8 b 4, 9, 16 c January, June, July d Red, Amber, Green4 a True b False c False d True5 a, b and d6 aA2B64 81011b 1, 3, 5, 7, 9. Odd numbers less than 11c 8d Yes. All multiples of 4 are also multiples of 21 3 5 7 93
7 aABbABANSWERScABdAB8 a W 5 {A, E, I, U}, W9 5 {O}, S 5 {O, U}, S9 5 {A, E, I}bSWAOUEIc i {A, E, I, O, U} or j9 a Suzy has no red dresses.b All Suzy’s dresses are green.cGRDii {U}10 aB 9 P3 6 42b 15Exercise 5*1 a Any multiple of 4 b Any integer power of 10c Any animald Any tree2 a {multiples of 4} b {integer powers of 10}c {animals}d {trees}3 a 2, 3 b 1, 2, 3, 4, 6, 8, 12, 24c Red, Orange, Yellow, Green d Spring, Summer, Autumn, WinterBlue, Indigo, Violet4 a False b Truec Falsed False4
5ABC6 a Because 10 is not a member of j b 5, 15c 1, 5 d 57 j8 a 8 b 2c j 5 17A8BANSWERS2 5 649 a j 5 30 b 192 22A19 3 6B2510WoodleWidget 20Wopetb 2030 10 10Examination practice 11 a 3.85 3 10 5 b 32502 a 36.58 b 373 a 4.00 3 10 2 b 4.81 3 10 54 a 1.20 3 10 6 b 2.60 3 10 35 a £4.62 b £42.776 a 8ab b 3xy 1 3x c 3a 3 b7 a x 5 3 b a 5 3.5 c x 5 38 a x 1 1 b x 1 x 1 1 1 x 1 2 5 525 c x 5 1749 x 2 3y 5 12 and 6y 2 2x 5 710 a 2 b 2411 a 400 m b q 5 712 b AC 5 8.6 cm5
ANSWERS13 c RS 5 7.9 cm, area 5 31.6 cm 214 p 5 8015 d x 5 0.6, y 5 3.7116 A gradient 5 1_ 2 intercept 5 4 equation is y 5 1_ 2 x 1 4B gradient 5 22 intercept 5 8 equation is y 5 22 x 1 817 a A > C 5 [ b C < D 5 C c A > B [18 a 13 b 719 a and cACBb 90°, 45°, 45°20 a {6, 12, 18} b {multiples of 6} c {odd numbers}d {3, 9, 15} e {odd multiples of 3}Exercise 61 2 5 5 32 2 3 6 5 729 3 4 6 5 40964 5 7 5 78 125 5 10 9 5 1 000 000 000 6 2 4 5 167 3 3 5 27 8 4 3 5 64 9 5 3 5 12510 10 6 5 1 000 000 11 2 6 5 64 12 3 6 5 72913 4 8 5 65 536 14 5 8 5 390 625 15 10 12 5 1 000 000 000 00016 2935 17 __ 135 18 __ 635 19 1 1142620 3 35 1621 1 35 22 2 341123 2 24 12 m : 24 m354025 45 kg : 60 kg 26 $160 : $240 27 160 mins : 200 mins28 £19 : £38 : £76 29 64 km : 96 km : 192 km 30 1.23 3 10 2231 1.24 3 10 22 32 1.60 3 10 24 33 8.89 3 10 2334 4.31 3 10 3 35 1.02 3 10 8 36 2.50 3 10 21237 2.93 3 10 28 38 3.62 3 10 28 39 5.61 3 10 21740 2.10 3 10 7 41 2.46 3 10 2542 a $150 b $1650 c $7543 a e1.20 b e6 c e14.4044 a 162 b 180 c 12 96045 a i 46.7 km ii 17 056 kmb i 0.214 daysc 5.41 3 10 mm/secii 0.0749 days6
ANSWERSbFrequency20151050490-495495-500500-505505-510Weight g510-515c Evidence suggests the mean is between 505 and 510 so 500 is probably minimum weight.515-520520-5256 a 126bFrequency605040302010030-35 35-40 40-45 45-50 50-55 55-60Speed km/hc Speed limit is probably 50 km/h as there is a sharp cut off at that speed.7 a 15bFrequency302520151050c 46.7%8 1.74 m9 a 83 cmb 9.37 cm0-2 2-4 4-66-8 8-10 10-12 12-14Time hrsExamination practice 21 a 0.0504 b 0.0000212 a __ 3 3 ___ 1535 21 5 __ 3 b ___ 397 12 1 ___ 2812 5 ___ 6712 5 5 __ 712 c 2 ___ 1415 3 ___ 2557 5 ___ 103 5 3 1_ 3 1 73 a 295 kg : 472 kg b $0.64 : $2.24 : $1.604 108312
5 78.4 km/h6 27.8 seconds7 a 3a 2 b ___ 12x c 3b27a 1 2b8 _______ b___ y1410 c ______________35x 2 12y 2 81 209 a 65 b 16 c 6610 a 68 °F b 37.8 °C c 240°11 a y 13 b b 9 c 16a 2 b 812 a b 9 b 49a 8 c p 813 a ____ 7d16b b _____ 7a2 c 3b c 314 a x . 12 b x < 715 25,24, 23, 22, 21, 0, 1, 216 a, b, dy c (4, 7)ANSWERS11111 x17 a x 5 4.37 b y 5 2.33 c z 5 67.4°18 125°19 a mean 5 23.4, median 5 23, mode 5 27 b 2320 p 5 80, q 5 48, r 5 56, s 5 64, t 5 50Exercise 111 1.12, 1.25, 75%, 99%2 0.88, 0.75, 75%, 99%3 a $535 b $572.45 c $612.52 d $655.404 a £104 b £108.16 c £121.67 d £148.025 a e26 250 b e27 562.50 c e31 907.04 d e66 332.446 a £41 400 b £38 088 c £29 658.67 d £19 547.487 a 2 b 5 c 8 d 28 a 12 b 42 c 120 d 6309 2.64 10 4.37 11 0.245 12 6.7513 5.94 14 0.314 15 27.3 16 2 400 00017 26 200 18 15.6 19 755 000 20 25.513
Exercise 11*ANSWERS1 a e3345.56 b 12 years2 a $134 391.64 b 14 years3 £7366.964 a $425 570.14 b $597 895.415 e652.706 a £16 769.97 b £13 887.217 a HCF 5 10, LCM 5 420b HCF 5 28, LCM 5 420c HCF 5 14 , LCM 5 2108 a HCF 5 2 xyz , LCM 5 12 x 2 y 2 z 2b HCF 5 5pq, LCM 5 140pqc HCF 5 6 a 2 b 2 c 2 , LCM 5 36 a 4 b 3 c 49 862 000 10 2.79 11 2.3112 5.68 13 14.7 14 0.104Exercise 121 2(a 1 b) 2 3(x 2 2y) 3 a(a 1 2) 4 x(5 2 x)5 2x(x 2 2) 6 5a(1 1 2a) 7 x 1 y 8 x 1 2y9 1 1 a 10 2 11 10 12 613 3_ 2 14 1_ 4 15 0 16 4_ 3 17 2 18 3 19 2 1_ 2 20 621 8_ 322 64 23 (2, 1) 24 (3, 1)25 (4, 1) 26 (1.5, 3.5) 27 (1, 3) 28 (1, 1)29 (2, 2) 30 (21, 1) 31 (2, 1) 32 (2, 1)33 (1, 2) 34 (3, 1) 35 26 and 4636 apple 30 pence, banana 50 penceExercise 12*1 x(x 1 5) 2 a(7 2 a) 3 2x(x 1 3) 4 3x(1 2 4x)5 ab(a 1 b) 6 4xy (1 2 2xy) 7 x 1 2y 8 x 1 29 1 1 a 10 2x 11 6 12 3_ 5 13 11 14 4 15 14 16 1517 2 18 1_ 5 19 249 20 3_ 4 21 64 22 68 23 (4, 1) 24 (3, 2)25 (1, 2) 26 (1, 1) 27 (2, 1) 28 (1, 2)14
29 (1, 4) 30 (1, 8) 31 (3, 1) 32 (6, 2)33 (21, 5) 34 (2, 1)35 Ash $5, beech $736 A one minute phone call costs 20 pence, one text message costs 10 pence.Exercise 131 8 m/s 2 24 m/s 3 a 15 m/s b 4 s c 29 m/s4 ab 11: 4020Distance (km)ANSWERS08:00 9:00 11:00 11:40Time (hrs)5 5 m/s 2 6 25 m/s 2 7 a 3 m/s 2 b 0 m/s 2 c 2 m/s 2 d 43.3 m/s8 a10Speed (m/s)0 20Time (s)50 60b i 0.5 m/s 2 ii 21 m/s 2 iii 7.5 m/sExercise 13*1 a db dOtOt2 a dO tb dOt15
ANSWERS3 dOt4 d (km)10545Mrs Lam ison time!O 07:4507:00 08:3012:3014:00t (h)5 a Vb Vc VOtOtOt6 a VO tb Vc VOtOt7 a x 5 6 b V (m/s)1812c iii 2m/s 2iii 6 m/s 2iii 13.1 m/sO 6 9 19 22 t (s)8 a i 6.4 m/s ii 23.0 km/h b 7.08 m/s c 0.590 m/s 2Exercise 141 7.71 cm 2 7.50 cm 3 21.3 cm 4 33.1 cm5 26.0 m 6 46.2 m 7 53.1° 8 64.6°9 41.8° 10 56.6° 11 32.6° 12 32.9°13 1.44 m 14 a 2250 m b 3897 m15 10.8° 16 a 75.5°, 75.5°, 29.0° b 34.9 cm 2Exercise 14*1 x 5 7.71, y 5 7.96 2 x 5 14.3, y 5 24.9 3 x 5 17.3, y 5 34.64 x 5 17.3, y 5 6 5 u 5 16.8° 6 u 5 59.5°16
7 u 5 50.2° 8 u 5 11.0°9 a 13.9 km b 279.7° c 17:56, yes he does10 30.39 m 11 3.13 m/s 12 2.5 km13 1.79 m 14 82.7%Exercise 151 a 20 b 1 c 0 d 1.42 a 40 b 2 c 1 d 2.053 a 50 b 16 2 20 c 15.34 a 24 b 4 , w < 6 c 4.755 a 25 b 17.5 , t < 20.5 c 17.92 mins6 a 32 b 14 < a , 15 c 14.3 d Decrease as below the meanANSWERSExercise 15*1 a 8 b 73 c 74 d 73.22 a 7 b 2 c 26.7%3 a 28 days ⇒ February b 16 2 20 c 15.34 a 1000 b 601 2 800 c 770.55 a 540 b 3000 2 3300 c 33606 a 22 2 x b 9Examination practice 31 a £466.19 b £473.892 20.2 yrs3 £10 6754 9.45 3 10 12 km 5 a light year.5 a 0.09215784314 b 9.22 3 10 226 HCF 5 6, LCM 5 607 a __ 5 xy b ______ 2x 1 621 8 x 5 1_9 9 x 5 20.4, y 5 29.210 a 6.43 cm b 7.66 cm c 3.66 cm d 60.3° e 120° f 12.9 cm 211 a 5 m b 30.0° c 14.1 m12 x 5 25.8°, y 5 10.3 cm13 2.6 goals/game14 a S f x 5 72 goals b 1.44 goals/game15 a 60 trains b 73 minutes c Estimate as mid-points are used.17
ANSWERSExercise 161 $120 2 $20 3 £2500 4 80 seconds5 w max 5 3.52, w min 5 2.93 6 x max 5 4.08, x min 5 3.157 y max 5 2.33, y min 5 1.73 8 z max 5 1.71, z min 5 1.509 1 3 10 8 10 4 3 10 13 11 6 3 10 15 12 1 3 10 1113 2 3 10 2 14 2 3 10 3 15 5 3 10 7 16 5 3 10 817 4 3 10 14 18 3 3 10 15 19 1 3 10 3 20 2 3 10 10Exercise 16*1 $4329 2 e1811.59 3 £409.36 4 £2573.535 $1283.76 6 $888 889 7 e6863.56 8 £2326.249 w max 5 2.29, w min 5 2.15 10 w max 5 0.159, w min 5 0.12511 y max 5 3.38, y min 5 2.5912 a A max 5 15.9 m 2 , A min 5 9.62 m 2 b P max 5 14.1 m, P min 5 11.0 m13 2 3 10 6 14 4 3 10 23 15 2 3 10 21216 7 3 10 4 17 2 3 10 18 8 3 10 23Exercise 171 x 5 a 2 1 2 x 5 1 1 a 3 x 5 b 2 a 4 x 5__ a 35 x 5__ a 6 x 5_______ (a 2 b) 7 x 5 _______ (a 2 2) 8 x 5 _______ (a 2 b)b 2b39 x 5__ b 2 a 10 x 5___ 2b3 a 11 x 5 √ __ a__3 12 x 5 √ ___3a 13 x 5 √ _____a 2 3 14 x 5 √ _____a 1 3 15 x 5 √ __________ a 2 3 16 x 52√ _____ a__2 2 3 17 x 5 ( a __3 ) 2 18 x 5 (a 1 3) 2 19 x 5 (3a) 2 20 x 5 b 1 a(v 2 20)21 a 45 m/s b t 5 ________ c 2 seconds522 a 205 b T 5________ N 2 150 c 28 °C2.523 a 1385 cm 2 b r 5 √ ______ A4p c 4 cm24 a A 5 4n 1 2 b 402 cm 2 c n 5 ______ A 2 2 d 534Exercise 17*1 x 5 a 1 b 2 x 5_____ b 1 a c 3 x 5 __ b a 4 x 5___ bca 5 x 5 c __ a 1 b 6 x 5 b 2 c __ a 7 x 5 a(c 2 b) 8 x 5 ac 2 b9 x 5 a 2 b _____c 13 x 5 √ _____ c__a 1 b 10 x 5 a _____c 2 b 14 x 5 √________ a(b 1 c) 11 x 5 √__b__ a 15 x 5 √ __ a__b 12 x 5 √ ___ab b 1 c16 x 5 (_____a )218
ANSWERS13 a 5 4.5 14 a 5 6, b 5 4.515 a 5 4.5, b 5 2.516 a The angles of both triangles are the same: 55°, 60°, 65°b a 5 3.61, b 5 2.8717 a 5 5.39 18 a 5 5.2019 a r 5 11.7 b a 5 18.7 20 a XC 5 2 b AC 5 4.47Exercise 201 3_ 5 2 0.83 a 1_ 2 b 5_ 6 c 1 d 04 a 329 b __ 529 c __ 1729 d 05 a 0 b 9____6 a __ 125 c 1625 d 913 b __ 213 c 3_ 4 d __ 37 a 1_ 8 b 1_ 2 c 3_ 4 d 5_ 8 8 409 a RG GR GG b 2_ 310 525 26 Exercise 20*1 a 1 2 3 4 5 61 1 2 3 4 5 62 2 4 6 8 10 123 3 6 9 12 15 184 4 8 12 16 20 245 5 10 15 20 25 306 6 12 18 24 30 36b iii 136 ii 0iii 1136 iv 2_ 92 a10 30 509 10 30 5016 16 30 5025 25 30 5036 36 36 50b iii 112 ii 0iii 1112 iv 1_ 3 22
22 (x 2 6)(x 1 2) 23 (x 1 6)(x 2 2) 24 (x 2 6)(x 2 2)25 (x 112)(x 1 1) 26 (x 1 12)(x 2 1) 27 (x 2 1)(x 2 12)28 (x 1 1)(x 2 12) 29 21, 23 30 22, 131 24, 3 32 1, 2 33 234 24 35 27, 0 36 0, 537 22, 4 38 25, 3 39 22, 2140 23, 21 41 24, 1 42 1, 343 1, 5 44 23, 2 45 2, 346 26, 1 47 2, 4 48 2149 62 50 65 51 22, 052 0, 4 53 2 seconds 54 655 a x 2 1 2x b 3ANSWERSExercise 22*1 x 2 1 11x 1 24 2 x 2 2 3x 2 10 3 x 2 2 494 x 2 1 16x 1 64 5 x 2 2 10x 1 25 6 x 2 2 817 6x 2 1 5x 1 1 8 8x 2 1 2x 2 6 9 9x 2 2 2510 25x 2 2 40x 1 16 11 x(x 1 49) 12 x(x 2 144)13 (x 2 7)(x 1 7) 14 (x 2 12)(x 1 12) 15 2(x 1 6)(x 2 6)16 3(x 2 4)(x 1 4) 17 (x 1 6)(x 1 4) 18 (x 2 6)(x 2 4)19 (x 2 6)(x 1 4) 20 (x 1 8)(x 1 3) 21 (x 2 8)(x 1 3)22 (x 2 8)(x 2 3) 23 (x 1 12)(x 1 2) 24 (x 2 12)(x 2 2)25 (x 1 12)(x 2 2) 26 (x 1 24)(x 1 1) 27 (x 1 24)(x 2 1)28 (x 2 24)(x 1 1) 29 25, 11 30 27, 2231 5 32 0, 13 33 3, 634 25, 2 35 28, 7 36 21, 337 22, 3 38 2 1_ 3 , 2 1_ 2 39 25, 2140 24, 22 41 21, 7 42 3, 443 25, 2 44 29, 1 45 2246 3 47 69 48 6749 213, 0 50 0, 81 51 23, 552 25, 4 53 a x 2 1 5x b 10 cm54 4, 10 55 b 30Exercise 231 13, 16, 19 2 23, 21, 1 3 4, 0 ,244 2, 21, 24 5 25, 36, 49 6 15, 17, 197 16, 32, 64 8 10 4 , 10 5 , 10 6 9 64, 32, 1625
ANSWERS10 15, 21, 28 11 2, 3, 4 12 21, 0, 113 5, 7, 9 14 22, 1, 4 15 2, 21, 2416 0, 22, 24 17 4, 7, 12 18 21, 2, 719 5, 4 1_ 2 , 4 1_ 3 20 6, 3, 2 21 1222 9 23 7 24 825 5 26 6 27 1028 8 29 4 30 631 4 32 11 33 934 4 35 n 1 4 36 2n 1 237 4n 1 3 38 3n 1 2 39 n 2 340 3n 2 8 41 4 2 n 42 6 2 2n43 21 2 n 44 23 2 2n45 a e42 b 10 months c e2 d e27046 a 220 b 8 c 10 d 3670Exercise 23*1 28, 33, 38 2 5, 23, 211 3 7, 8.5, 104 1.3, 1.6, 1.9 5 0, 22.5, 25 6 81, 243, 7297 4, 1, 1_ 4 8 16, 232, 64 9 1_ 8 , 116 , 132 10 13, 21, 34 11 8, 13, 18 12 23, 1, 513 5, 21, 27 14 1 1_ 2 , 2, 2 1_ 2 15 23, 0, 516 2, 9, 28 17 2, 6, 12 18 2, 4, 819 2, 2 1_ 2 , 3 1_ 3 20 3, 1, 1_ 3 21 722 9 23 6 24 325 5 26 8 27 1228 9 29 3 30 531 19 32 5 33 934 100 35 2n 1 3 36 4n 1 537 3n 2 8 38 5n 2 4 39 26 1 4n40 13 1 5n 41 7 2 2n 42 5 2 4n43 24 23n 44 25 26n45 a 4000 kg b 150 days c 100 kg/day46 a 1.8 3 10 5 b 6.57 3 10 9 c 2778 days or 7.61 yearsExercise 241 a (3, 24) b (23,4) c (4,23) d (10, 22)2 a (23,25) b (3, 5) c (25,23) d (28, 8)26
3 a A9(1, 22), B9(1, 26), C9(8, 22)b A9(22, 1), B9(26, 1), C9(22, 8)c A9(24, 6), B9(24, 10), C9(3, 6)d A9(2, 0), B9(2, 8), C9(16, 0)4y6A F4CANSWERS26 4 2 0 2 4 6 xB246c Rotation of 90° clockwise around O.e Translation along ( 4 0)5 x 5 211, y 5 21Exercise 24*1 A(1, 25), B(21, 25), C(1, 29)2 d Translation along vector ( 22 2)3 e Rotation of 290° about (0, 21)f Enlargement of scale factor 12 centre (21,24)Exercise 25Question Median Q 1 Q 3 Range IQR1 6 1 7 8 62 5 1 6 9 53 4 1.5 7 11 5.54 62 48 83 69 355 2 0 3 5 3Note that answers to Q6 2 8 are approximate as they are read off graphs.27
ANSWERS6 aTime (t mins) C.F.0 , t < 10 310 , t < 20 1020 , t < 30 2530 , t < 40 5240 , t < 50 7150 , t < 60 80c Q 2 5 36, Q 1 5 27, Q 3 5 43, IQR 5 167 aSpeed (s m.p.h.) C.F.s < 55 055 , s < 60 660 , s < 65 2565 , s < 70 7170 , s < 75 8575 , s < 80 90d 50 students8 ac Q 2 5 67, Q 1 5 64.5, Q 3 5 69.5, IQR 5 5 d 18%Weight (w kilograms) Country A C.F. Country B C.F.w < 2.0 0 02.0 , w < 2.5 14 02.5 , w < 3.0 43 33.0 , w < 3.5 66 233.5 , w < 4.0 80 744.0 , w < 4.5 80 80c Country A: Q 2 5 2.95, Q 1 5 2.62, Q 3 5 3.37, IQR 5 0.75Country B: Q 2 5 3.65, Q 1 5 3.45, Q 3 5 3.78, IQR 5 0.33d Babies heavier in country B, more variation in weight in country A.Exercise 25*Question Median Q 1 Q 3 Range IQR1 6 5 8 9 32 3.9 2.1 9.0 9 6.93 67 42 77 84 354 0.56 0.46 0.68 0.7 0.225 2 1 2.5 5 1.528
6 a7 a8 aTime (t mins)C.F.0 , t < 20 320 , t < 40 1040 , t < 60 2160 , t < 80 3180 , t < 100 52100 , t < 120 77120 , t < 140 100c Q 2 5 98, Q 1 5 68, Q 3 5 119, IQR 5 51 d 35%Time (t milliseconds) C.F. before drink C.F. after drinkt < 160 0 0160 , t < 180 10 0180 , t < 200 45 0200 , t < 220 76 8220 , t < 240 80 49240 , t < 260 80 74260 , t < 280 80 80c Before drink Q 2 5 197, Q 1 5 189, Q 3 5 206, IQR 5 17After drink Q 2 5 237, Q 1 5 229, Q 3 5 245, IQR 5 16d Drink lengthens reaction times by approximately 40 milliseconds, but doesn’t affect the spread.This possibly means that everybody is equally affected.Diameter (d cm) Frequency Short Wood Frequency Waley Wood0 , d < 10 6 210 , d < 20 15 520 , d < 30 27 1230 , d < 40 50 5040 , d < 50 71 9250 , d < 60 85 9860 , d < 70 95 10070 , d < 80 100 100c Short Wood Q 2 5 40, Q 1 5 29, Q 3 5 53, IQR 5 24Waley Wood Q 2 5 40, Q 1 5 36, Q 3 5 46, IQR 5 10d Waley Wood is much more uniform in size. This possibly means it is a plantation with all thetrees having been planted at the same time. Short Wood is more diverse in size, possibly a wildwood.ANSWERS29
Examination practice 5ANSWERS1 a 1.8 9 , 198 b 13.2 6 , 5 290 000 c 1.24 9 , 6.932 30 m3 38.64 a 6000 b 3600 seconds c 1.67 m/s5 a 800 g b 800 kg6 £2.657 Recur. Denominator does not consist solely of powers of 2 and/or 58 a x 2 1 7x 1 10 b y 2 1 2y 2 99 c 9 2 6p 1 p 29 a 15x 2 1 x 2 6 b a 2 2 6ab 1 9b 210 a x(x 2 3) b (x 2 7)(x 1 7) c (x 1 1)(x 1 2) d (x 1 1)(x 2 8)11 a (x 2 7 )(x 2 3) b 3p 2 (p 2 2)(p 1 2)12 a 24, 23 b 22, 3 c 0, 3 d 2, 1013 a a(a 2 b) b 987 654 32114 a i 38, 45 ii 7n 2 4 iii 381b i 14, 10 ii 34 2 4n iii 218615 3 years16 a (x 2 1) 2 1 (4x) 2 5 (4x 1 1) 2 b x 5 1017 a x(x 1 5) 5 36 b x 5 4, dimensions are 4 cm by 9 cm c 47.9°18 d Translation of ( 1010 ) e x 1 y 5 14 f 180° g (11, 3) i (15, 15), 1_ 3 19 median 5 23.5, Q 1 5 17.5, Q 3 5 31, range 5 28, IQR 5 13.520 a 60 bWeight (w g)C.F.66 , w < 68 5d Q 1 5 69.6, Q 2 5 71.4, Q3 5 73.7e IQR 5 4.1f 15%68 , w < 70 1870 , w < 72 3672 , w < 74 4674 , w < 76 5476 , w < 78 6030
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