Supplementary Maths Aanvullende Wiskunde ANSWERS ANTWOORDE Set by / Opgestel deur Seeliger ~ Mouton www.systemmaths.co.za © Copyright Reserved © Kopiereg Voorbehou CAPS Gr 7 Supplementary Maths ANSWERS / ANTWOORDE A Mental Maths / Hoofrekene Prac 1 1. 7 2. 6 3. 7 4. 3 5. 8 6. 6 7. 6000 8. 60 000 9. 400 10. 400 000 Prac 2 1. 7824 2. 36 215 3. 642 371 4. 325 768 5. 246 783 7842 36 512 643 271 326 768 246 883 8427 63 253 643 712 352 768 264 338 8724 63 523 643 721 362 768 264 383 Prac 3 1. 2 406 2. 2 386 3. 4 176 4. 3 976 5. 60 247 6. 58 247 7. 816 256 8. 796 256 9. 1 009 888 10. 989 888 Prac 4 1. 13 2. 33 3. 13 4. 43 5. 13 6. 53 7. 14 8. 64 9. 14 10. 84 Prac 8 1. 3 2. 33 3. 3 4. 43 5. 5 6. 45 7. 6 8. 56 9. 6 10. 66 Prac 12 1. 12 2. 15 3. 28 Prac 5 1. 37 2. 56 3. 72 4. 99 5. 103 6. 142 7. 165 8. 146 9. 131 10. 147 Prac 9 1. 18 2. 17 3. 15 4. 12 5. 19 6. 21 7. 28 8. 23 9. 19 10. 46 Prac 13 1. 21 2. 36 3. 40 Prac 6 1. 193 2. 223 3. 305 4. 325 5. 406 6. 506 7. 617 8. 817 9. 753 10. 953 Prac 10 1. 54 2. 38 3. 183 4. 163 5. 287 6. 387 7. 463 8. 554 9. 671 10. 871 Prac 14 1. 6 2. 6 3. 7 Prac 7 1. 76 2. 59 3. 98 4. 57 5. 88 6. 79 7. 88 8. 119 9. 129 10. 148 Prac 11 1. 67 2. 88 3. 69 4. 68 5. 159 6. 226 7. 377 8. 289 9. 356 10. 366 Prac 15 1. 4 2. 5 3. 2 Gr 7 Aanvullende Wiskunde 4. 45 5. 16 6. 27 7. 35 8. 40 9. 36 10. 44 Prac 16 1. 12 2. 8 3. 6 4. 12 5. 9 6. 6 7. 12 8. 6 9. 12 10. 9 Prac 20 1. 14 2. 18 3. 6 4. 9 5. 3 6. 5 7. 2 8. 8 9. 9 10. 8 Prac 22 1. 4 2. 9 3. 18 4. 31 5. 8 6. 3 7. 12 8. 10 9. 8 10. 6 Prac 24 1. 41 2. 43 3. 98 4. 179 5. 43 6. 58 7. 175 8. 354 9. 6r2 10. 9r5 Prac 26 1. 51 2. 51 3. 168 4. 468 5. 64 6. 15 7. 28 8. 89 9. 125 10. 44 4. 24 5. 54 6. 63 7. 48 8. 60 9. 72 10. 49 Prac 17 1. 6r1 2. 4r1 3. 3r1 4. 2r3 5. 2r1 6. 1r6 7. 4r2 8. 3r3 9. 2r4 10. 2r2 4. 8 5. 5 6. 11 7. 8 8. 8 9. 7 10. 9 Prac 18 1. 6r1 2. 4r1 3. 3r4 4. 3r1 5. 2r7 6. 8r2 7. 6r4 8. 4r6 9. 4r2 10. 3r7 Prac 21 1. 16 2. 13 3. 6 4. 9 5. 6 6. 8 7. 2 8. 4 9. 7 10. 9 Prac 23 1. 9 2. 8 3. 29 4. 39 5. 4 6. 3 7. 3 8. 8 9. 12 10. 7 Prac 25 1. 42 2. 62 3. 99 4. 167 5. 17 6. 38 7. 344 8. 602 9. 2r6 10. 9r7 Prac 27 1. 138 2. 138 3. 5r3 4. 4r6 5. 57 6. 26 7. 31 8. 108 9. 119 10. 18 4. 9 5. 9 6. 6 7. 9 8. 9 9. 7 10. 7 Prac 19 1. 11r3 2. 9r2 3. 6r5 4. 5r7 5. 10r2 6. 8r4 7. 7r3 8. 5r7 9. 7r4 10. 6r6 Prac Maths © Copyright Reserved Prac 28 1. 45 2. 450 3. 540 4. 42 5. 420 6. 420 7. 320 8. 3200 9. 900 10. 1600 Prac 30 1. 126 2. 185 3. 74 4. 155 5. 2345 6. 3544 7. 145 8. 67 9. 58 10. 166 Prac 32 1. 11 2. 13 3. 11 4. 25 5. 11 6. 13 7. 117 8. 390 9. 8 10. 28 Prac 34 1. = 2. < 3. > 4. < 5. = 6. < 7. < 8. < 9. > 10. < Prac 36 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 16-12 = 4 32-2 = 30 3+4+2 = 9 20+2 = 22 30-12+4=22 32 ÷ 4 = 8 54 + 6 = 60 9 + 4 = 13 16-4-2 = 10 48-8+2 = 42 Prac 38 1. 8 + 8 = 16 2. 7 + 14 = 21 3. 60 ÷ 12 = 5 4. 65 - 15 = 50 5. 144 + 25 = 169 6. 0 + 234 = 234 1 Prac 29 1. 69 2. 56 3. 185 4. 108 5. 189 6. 336 7. 504 8. 312 9. 378 10. 273 Prac 31 1. 137 2. 344 3. 259 4. 588 5. 2313 6. 3414 7. 137 8. 167 9. 49 10. 236 Prac 33 1. 22 2. 15 3. 13 4. 36 5. 42 6. 17 7. 158 8. 434 9. 10 10. 41 Prac 35 1. = 2. > 3. > 4. < 5. < 6. = 7. > 8. < 9. = 10. = Prac 37 1. 10+5 = 15 2. 12-4 = 8 3. 54-3 = 51 4. 28 ÷ 4 = 7 5. 6+12-2 = 16 6. 48 ÷ 4 = 12 7. 9 12 = 108 8. 72 ÷ 12 = 6 9. 4+6-2 = 8 10. 120-10+5=115 Prac 39 1. – 2. + 3. ÷ 4. ÷ 5. 21+14÷7 = 23 6. (21+14)÷7 = 5 Gr 7 Supplementary Maths 7. 8. 9. 10. 590 + 0 = 590 100 - 64 = 36 10 + 30 = 40 46 ÷ 2 = 23 7. (34+14) ÷4 = 12 8. 34 + (144) = 90 9. (28+8) ÷6 = 6 10. 28 + 8 6 = 76 Prac 40 Prac 41 1. 30÷3 - 3 = 7 2. 30+ 3 3 = 39 3. 12 6 - 6 = 66 4. 12 + 6 6 = 48 5. 15 4 - 4 = 56 6. 15 - 4 ÷ 4 = 14 7. 27 2 9 = 63 8. 27 2 - 9 = 45 9. 84 ÷ 7 + 5 = 17 10. 84 ÷ 7 - 5 = 7 1. 122221320 2. 164263362 3. 186285384 4. 215314413 5. 257356455 6. 142240338 7. 156254352 8. 185282381 9. 219317415 10. 371469567 Prac 42 1. 839198104 2. 73808897 3. 39302417 4. 527099127 5. 7455278 6. 82644844 7. 275374473572 8. 37627717879 9. 157255353451 10. 650725800825 Prac 43 1. 47181 ; 47381 +200 2. 73963 ; 73663 –300 3. 27179 ; 32179 +5000 4. 27457 ; 23457 –4000 5. 848621 ; 1048621 +200 000 Prac 44 Prac 45 1. x 1. 53 275 2. t 2. 53 300 3. 0 3. 14 690 4. g 4. 15 000 5. 0 5. 787 000 6. 790 000 6. p 1 7. 642 190 7. x 8. 642 200 8. 0 9. 642 000 9. x + y 10. 640 000 10. p + t Prac 46 1. 1; 2; 3; 4 2. 0; 1; 2; 3 3. 9; 18; 27; 36 4. 2, 3, 7, 11 5. 10; 12; 14; 16 6. 101; 103; 105; 107 7. 11; 13; 17; 19 8. 1, 4, 9, 16 9. 40 000 10. 2 12 93 = 2232 Prac 47 1. 910 2. 9889 3. 10 4. 0 Gr 7 Aanvullende Wiskunde 5. 30 6 = 180 6. 17 + 78 = 95 7. 899 999 8. 476 9. 1824 2 = 3648 10. 360 Prac 48 1. 952 108 2. 501 000 3. 422 123 4. 237 318 5. 2 181 217 Prac 49 1. 7005 2. 108 066 3. 352 Prac 50 1. 31 275 2. 42 572 3. 146 4. 47 5. 273 6. 34 Prac 51 Prac 52 1. 36; 42; 48; 54 2. 63; 70; 77; 84; 91 3. 54; 63; 72; 81; 90 4. 96; 108; 120; 132 5. 13; 26; 39; 52; 65 Prac Maths © Copyright Reserved 2 Prac 53 1. 1, 2, 5, 10 2. 1, 2, 3, 6, 9, 18 3. 1, 2, 4, 7, 14, 28 4. 1, 3, 5, 9, 15, 45 5. 1, 2, 3, 6, 9, 18, 54 Prac 54 1. 2 & 3 2. 2 & 5 3. 2 & 3 4. 3 & 5 5. 2, 3 & 11 Prac 55 1. 2. 3. 4. Prac 56 1. 1 2. 1 3. 3 4. 6 5. 7 6. 4 7. 9 8. 24 9. 15 10. 12 Prac 58 1. a) 7 : 3 c) 4 : 9 2. R24 (8 R3) R60 (12 R5) 3. a) 18 : 24 = 3 : 4 b) 18 : 42 = 3 : 7 Prac 59 Prac 57 1. 12 2. 28 3. 8 4. 24 5. 60 6. 36 7. 24 8. 30 9. 28 10. 36 b) 2 : 7 (÷8) d) 18: 45 = 2 : 5 1. 2. 3. 6 90km = 540km 760 ÷ 8 km/h = 95 km/h 5 21 4. Price 1 / Prys 1 = R9,00 ÷ 5 = R1,80 Price 1 / Prys 1 = R6,80 ÷ 4 = R1,70 Cheapest is 4 for R6,80 Goedkoopste is 4 vir R6,80 Gr 7 Supplementary Maths Prac 60 1. 2. R23,80 R47,60 348 cm 1044 cm 1392 cm (348+1044) Prac 61 1. 3750 g 18 750 g 2. R10,40 (R31,20 ÷ 3) R7,80 (R31,20 ÷ 4) R62,40 (R31,20 2) Prac 62 1. 2. 120km 72km 144km 44km 132km (5 24km) (3 24km) (2 72km) (156 ÷ 4m) (3 44km) Prac 63 1. the base of the power & the exponent die grondtal van die mag & die eksponent 2. 6 6 6 3. 75 4. 53 608 Prac 64 Prac 65 1. 1 + 1 = 2 1. 81 2. 4 + 8 = 12 2. 3 3. 1 + 16 = 17 3. 8 4. 9 - 4 = 5 4. 6 5. 1 + 5 = 6 5. 49 6. 36 + 64 = 100 6. 7 7. 1000+100=1100 7. 27 8. 10 000 8. 3 9. 49 + 70 = 119 9. 5 10. 92 = 81 10. 100+10 = 110 Prac 66 1. 8 + 9 = 17 2. 32 - 25 = 7 3. 36 - 6 = 30 4. 27 - 1 = 26 5. 25 - 9 = 16 25 9 16 4 6. 7. 5 3 = 15 8. 2 2 = 4 9. 372 - 372 = 0 10. 7 10 = 70 Prac 67 1. an obtuse / ‘n stomp hoek 2. 360 ÷ 3 = 120 3. a reflex / ‘n inspringende hoek 4. 90 5. 270 6. 180 7. isosceles / gelykbenige 8. a right-angled / reghoekige 9. a regular hexagon / ‘n reëlmatige heksagoon 10. chord / koord Prac 68 1. 2. 3. 4. 5. 6. 7. 8. Gr 7 Aanvullende Wiskunde 3 1 2 1 2 2 D3 5 E6 Prac 69 1. a) Acute / Skerp ˆ 50 b) BAC 2. a) Obtuse / Stomp ˆ 123 b) PQR 3. a) Obtuse / Stomp ˆ 125 b) DEF 4. a) Acute / Skerp ˆ 41 b) ABC 5. a) Obtuse / Stomp ˆ 141 b) XYZ 30 55 90 90 120 60 20 160 Prac 70 1. AD & BC 2. AD & CD 3. AC or/of AOC 4. OA, OB & OC 5. a chord 6. circumference 7. an arc 8. a sector 9. straight 10. an acute Prac 71 1. a) BAD b) CAD c) ABC d) ABC 2. a) Kite - 1 b) Rectangle - 2 c) Rhombus - 2 d) Trapezium - 0 e) Regular hexagon - 6 / Vlieër - 1 / Reghoek - 2 / Ruit - 2 / Trapesium - 0 / Reëlmatige heksagoon - 6 5 7 9 12 5 7 9 12 b) < < > = c) > > < > d) = = = < 1. 2. 3. 4. 1 3 2 B3 2 9 1 B3 A- 1 5 1 B2 A- 4 5 b) c) 1 1 1 1 7 5 3 2 2 2 2 2 11 9 5 2 3 7 11 7 2 4 5 3 6 14 15 12 6 7 5 3 1 3 1 5 4 8 2 8 2 1 , 7 3 7 20 b) , 2 11 3 2 c) 1 , 8 5 3 1 d) 3 2 e) 7 a) 2. a) < > > < Prac 73 A- C- 2. Prac 72 1 a) e) / ‘n koord / omtrek / ‘n boog / ’n sektor / gestrekte / skerp 2 3 1 D- 1 9 C- Prac 74 1. d) f) Parallelogram - 0 1. C- 1 1 6 1 B4 A- Prac Maths © Copyright Reserved Prac 75 1. 3 2. 21 3. 15 4. 3 5. 1 7 6. 1 7. 18 8. 56 9. 3 10. 1 3 Prac 76 2 3 3 2. 5 5 5 3. 11 7 4 4. 7 9 5 5. 11 11 1 6. 6 4 5 7. 5 6 5 8. 8 8 5 9. 7 12 5 10. 8 6 1. 4 C- Gr 7 Supplementary Maths Prac 77 3 2 5 6 6 6 4 3 7 2. 12 12 12 5 3 8 3. 15 15 15 2 1 3 4. 8 8 8 5 2 7 5. 10 10 10 7 3 10 6. 21 21 21 3 2 1 7. 6 6 6 4 3 1 8. 12 12 12 9 8 1 9. 12 12 12 14 4 10 10. 21 21 21 Prac 78 1. 2 1 3 4 4 4 2 3 5 2. 8 8 8 4 3 7 3. 8 8 8 5 4 9 4. 20 20 20 5 8 13 5. 20 20 20 5 12 17 6. 20 20 20 4 3 1 7. 6 6 6 5 4 1 8. 20 20 20 15 8 7 9. 20 20 20 15 12 3 10. 20 20 20 Prac 79 1. 1. 2. 3. 4. 5. 5 4 9 10 10 10 7 4 11 28 28 28 18 5 23 30 30 30 9 2 11 12 12 12 5 16 1 1 20 20 20 Gr 7 Aanvullende Wiskunde 10 9 7 1 12 12 12 6 5 1 7. 10 10 10 7 4 3 8. 28 28 28 25 18 7 9. 30 30 30 20 3 17 10. 24 24 24 Prac 80 6. 2 1 3 4 4 4 2 1 3 2. 8 8 8 10 5 15 5 1 3. 1 12 12 12 4 4 9 11 20 4. 21 21 21 4 9 13 5. 15 15 15 5 3 2 1 6. 6 6 6 3 14 8 9 1 7. 18 18 18 2 20 8 12 8. 35 35 35 24 9 15 3 9. 50 50 50 10 21 7 14 7 10. 36 36 36 18 1. Prac 81 2 1 3 1 6 6 6 2 2 1 3 1 2. 18 18 18 6 21 7 28 7 3 3. 1 24 24 24 4 4 40 17 57 19 4 4. 1 45 45 45 15 15 33 7 40 10 1 5. 1 36 36 36 9 9 7 4 3 6. 8 8 8 12 7 5 1 7. 15 15 15 3 18 9 9 8. 26 26 26 22 7 15 1 9. 30 30 30 2 22 5 17 10. 48 48 48 1. Prac Maths © Copyright Reserved Prac 82 Prac 83 4 Prac 84 1 4 1 2. 6 4 3. 9 1 4. 3 3 5. 7 3 6. 5 3 7. 10 3 8. 8 2 9. 3 1 10. 10 Prac 86 1. 1. 4 1. 2 2. 4 2. 2 3. 5 3. 2 4. 8 4. 2 5. 9 5. 2 6. 2 6. 2 7. 3 7. 3 8. 2 1 5 8. 3 9. 3 1 7 5 10. 2 9 9. 4 10. 3 Prac 85 1 9 1 2. 16 1 3. 8 1 4. 12 9 5. 16 16 6. 25 1 7. 4 1 8. 9 2 9. 5 5 10. 11 Prac 87 1. 1. 5 4 1 4 5 2. 7 3 1 3 7 3. 16 9 9 2 1 7 16 7 7 4. 19 5 19 5 2 5 7 7 7 3 7 5 2. 9 5 3. 9 3 4. 20 2 5. 3 3 6. 4 2 7. 3 1 8. 3 2 1 9. 3 3 4 10. 15 1. Gr 7 Supplementary Maths 5. 18 5 6 5 3 6. 17 6 17 2 3 6 5 5 5 7. 15 21 9 7 5 8. 9 12 27 2 5 4 5 5 5 9. 32 9 4 9 8 10. 15 20 25 1 12 8 3 2 2 Prac 88 1. 11 36 9 4 11 2. 5 12 6 2 5 3. 15 5 75 3 9 4 2 8 8 4. 9 7 21 1 4 5 3 5 5 5. 13 66 33 2 13 6. 42 10 28 5 3 7. 100 27 90 3 10 8. 50 21 15 7 10 9. 68 13 3 13 13 5 5 10. 54 25 9 1 4 25 12 2 2 Prac 89 1. 2. 3. 4. 5. 6. 7. 8. 1+2=3 4-2=2 2 4 2 3 3 3 2 1 4 4 4 10 - 6 = 4 21 - 18 = 3 1 1 6 + =6 2 2 1 3 3 2 4 4 Gr 7 Aanvullende Wiskunde 9. 27 - 3 = 24 1 1 10. 20 + = 20 3 3 Prac 90 1. 20 + 12 = 32 2. 6 + 20 = 26 3. 1 11 15 4 16 16 4. 18 - 4 = 14 5. 3 12 = 9 4 6. 5 16 = 10 8 7. 5 18 = 15 6 8. 3 36 18 6 9. 7 60 35 12 5 Prac 95 1. 2. 3. A - 6,2 A - 0,12 A - 1,39 B - 6,5 B - 0,15 B - 1,41 C - 6,8 C - 0,18 C - 1,44 D - 7,1 Prac 96 1. 0,6 > 0,16 > 0,06 > 0,061 2. 1,432 > 1,423 > 1,324 > 1,234 3. 0,81 > 0,8 > 0,081 > 0,081 4. 3,03 > 0,33 > 0,303 > 0,033 5. 9,876 > 9,867 > 9,786 > 9,678 Prac 97 Prac 98 2 48 16 10. 6 Prac 91 1. 1. 8 2. 43 3. 275 4. 6 5. 60 6. 320 7. 708 8. 4 9. 57 10. 9430 Prac 99 2. 3. 4. 5. 6. 7. Prac 100 3780 3783,6 3800 3783,65 67,3 0,75 1,676 50 1,0 6,56 Prac 101 1. 8,61 2. 9,100 3. 0,93 4. 0,334 5. 1,7 6. 10,00 7. 13,000 8. 0,986 9. 0,0787 10. 0,0099 Prac 102 1. 6 2. 38 3. 30 4. 510 5. 1,2 6. 16 7. 30 8. 0,03 9. 0,17 10. 0,92 Prac 103 1. 1,6 2. 3,8 3. 3 4. 51 5. 3,4 6. 66 7. 1440 8. 0,56 9. 1,44 10. 1,35 Prac 104 1. 0,3 2. 0,09 3. 0,007 4. 0,21 5. 0,039 Prac 92 6. 7. 8. 9. 10. 7 1. 10 53 2. 100 53 3. 1000 9 4. 100 231 5. 1000 Prac 93 1 6. 2 100 67 7. 3 1000 3 8. 5 1000 409 9. 8 1000 611 10. 9 1000 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. Prac 105 Prac 106 1. > 2. < 3. > 4. < 5. > Prac 94 1. = 2. < 3. = 4. < 5. = 6. 7. 8. 9. 10. > > > > > 6. 7. 8. 9. 10. < > < = < 1. 2. 3. 4. 5. 6. 7. 8. 1. 2. 3. 4. 5. 6. 7. 8. 1,9 3,03 4,11 5,001 8,041 Prac Maths © Copyright Reserved 0,04 0,004 0,0004 0,83 0,083 0,0083 0,007 0,0007 0,0007 0,0059 1000 16 1 1 9 0,001 0,09 0,027 4 9. 9 16 10. 9 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 0,2 0,3 0,4 0,03 0,05 0,07 0,024 0,039 0,0054 1,192 10 000 32 1 1 81 0,0001 0,25 0,125 4 9. 25 25 10. 16 100 4 1 1 27 0,01 0,04 0,008 1 9. 4 9 10. 4 Prac 107 1. 2. 3. 4. 5. 6. 7. 8. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 7 90 25 20 55 44 22 12,5 37,5 62,5 Gr 7 Supplementary Maths Prac 108 Prac 111 Prac 112 Prac 113 Prac 114 3 4 1 2. 3 1 3. 8 1 4. 6 1 5. 8 2 6. 3 1 7. 25 2 8. 5 9. 1 5 10. 12 Prac 115 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 1. 36g 1. 36g 2. 63m 2. R121 3. R18 3. 60km 4. 41kg 4. 84m 5. 40ℓ 5. 24 ℓ 6. R9 6. R15 7. 25kg 7. 30kg 8. 4,5km 8. R10 9. 66 ℓ 9. 11cm 10. R30 0,325 4800 643 0,046 8210 960 4,208 5820 13,74 4,931 1 12 21 % 8 8 4. 266 23 % 3 2 40% 5. 5 1 6. 2% 50 3 7. 37 21 % 8 3 3% 8. 100 2 9. 66 23 % 3 4 10. 55 57 % 7 Prac 117 1. a) (13 + 15 + 13 + 15)cm = 56cm b) (13 11 + 9 4)cm2 = 179cm2 2. a) 2,8 1,2cm2 = 3,36 cm2 b) (1,2 1,2)cm2 = 1,44 cm2 (2, 8 1, 2) 2 cm = 1,68 cm2 c) 2 (7 2, 6) 2 3. a) cm = 9,1 cm2 2 (9, 4 7) 2 b) cm = 32,9 cm2 2 ( 6 8) 2 4. a) m = 24 m2 2 b) 18 8 m2 = 144 m2 c) (144 - 24)m2 = 120 m2 3. Prac 109 Prac 110 Gr 7 Aanvullende Wiskunde 10. R36 30 000 60 000 70 700 4,61 0,0809 700 7600 0,0371 4,74 1. 6000 8106 30 1000 1 0,001 2000 7000 0,03 200 2. 1 5 3 5 Prac 120 Prac 118 a) Rectangular prism / Reghoekige prisma b) Cube / Kubus c) Cylinder / Silinder d) Square-based pyramid / Vierkantige-basis piramide e) Pentagonal prism / Pentagonale prisma f) Triangular pyramid / Driehoekige piramide g) Sphere / Sfeer h) Cone / Keël i) Triangular prism / Driehoekige prisma Prac 121 1. 6 squares / 6 vierkante 2. 2 triangles & 3 rectangles / 2 driehoeke & 3 reghoeke 3. 4 triangles / 4 driehoeke 4. 6 25 cm2 = 150 cm2 5. 4 16 cm3 = 64 cm3 6. 9 4 5 cm3 = 180 cm3 7. 72 ÷ 18 cm = 4cm 8. 40 8,2 cm3 = 328 cm3 Prac 116 1. Prac 119 20% 60% Prac Maths © Copyright Reserved 6 Gr 7 Supplementary Maths Prac 122 1. 11 15 19 23 a) 2n + 5 Gr 7 Aanvullende Wiskunde 7 50 km/h = 25km/h 2 c) 1 21 h Prac 129 b) 2. 9 11 13 15 b) 2n + 7 d) 1 21 h e) 10 km/h Prac 135 Prac 123 1. 2. 3. 4. 5. 6. 7. 5 3 ; 8 4 3 3; 3 4 1 1 ; 2 8 2 5 1 ; 3 6 1 1 ; 4 2 2 1 10 ; 21 3 3 3,84 ; 4,56 8. 5,79 ; 4,8 1 8 3 4 3 8 5 6 Prac 130 1. Prac 136 1. x + 6 = 8 2. 6x = 27 3. x2 - 4x = 32 4. x - y < xy 5. 4(x + y) = 3xy 2. ( 2) ( 2) (+ 0,72) Prac 131 1. Prac 137 1. natural / natuurlike 2. whole / telgetalle 3. integers / heelgetalle 4. square / vierkant 5. powers of 2 / magte van 2 (– 0,99) 9. 40,5 ; 121,5 ( 3) 10. 0,25 ; 0,36 (0,5)2 ; (0,6)2 Prac 124 1. x = 48 y=n+6 2. x = 30 y = 2n + 1 3. y = 4n - 1 y = 199 4. y = n2 y = 169 5. y = n2 + 2 y = 38 2. Prac 125 1. x = 20 y=n-1 2. x = 22 y = 2n - 1 3. x = 8 y = 5n + 2 4. y = n3 y = 343 5. x = 7 y = n(n+1) Prac 126 1. 2. 3. 4. 5. T4 = 8, Tn = 2n, T20 = 40 T4 = 9, Tn = 2n+1, T20 = 41 T4 = 12, Tn = 2n+4, T20 = 44 T4 = 20, Tn = 5n, T20 = 100 T4 = 19, Tn = 5n-1, T20 = 99 Prac 127 1. T4 = 16, Tn = n2, T20 = 400 2. T4 = 19, Tn = n2+3, T20 = 403 3. T4 = 64, Tn = n3, T20 = 8000 4. T4 = 63, Tn = n3-1, T20 = 7999 5. T4 = 20, Tn = n(n+1), T20 = 420 Prac 128 Prac 132 1. 2. 1 1 2 5 9 11 12 5 6 3 4 0 1 8 5 12 1 3 Prac 133 1. 2. 1 2 1,3 0,4 2,2 26,2 3,6 0,12 6,1 8,1 Prac 134 1. a) 2 b) 3 c) (7;6) , (4;3) & (7;1) 2. a) 15km Prac Maths © Copyright Reserved Prac 138 1. x = 10 2. x = 22 4. x = 32 3. x = 8 5. x = 4 Prac 139 1. 1, 2, 3 2. 0, 1, 2 3. …–1, 0, 1, 2 4. 2 , 3 5. –3, –2, –1, 0, 1, 2 Prac 140 1. 2, 3, 5, 7 2. 8, 9 3. no value / geen waarde 4. –6 5. –3, –2, –1 Prac 141 1. a) > b) < c) > d) > 2. a) –8 ; –6 b) –14; –18 c) 0; –50 Prac 142 1. a) 0 > -10 > -40 > -80 b) -239 > -329 > -392 > -923 c) -478 > -748 > -784 > -847 d) -3456 > -3564 > -3645 > -3654 2. a) -30 ; -15 b) -130 ; -145 c) -50 ; -25 Gr 7 Supplementary Maths 5. Prac 143 1. -4 2. 0 3. -16 4. -2 5. -7 6. -13 7. 10 8. -14 9. -9 10. 28 Prac 144 1. -8 + 3 - 5 = -10 2. 12 + 7 - 7 = 12 3. 12 - 4 = 8 4. - 4 + 4 = 0 5. 3 + 4 = 7 6. - 8 + 4 = -4 7. - 15 - 15 = -30 8. - 4 - 8 = -12 9. 3 - 4 = -1 10. - 6 - 4 - 12 = -22 Prac 145 Prac 146 1. 9 2. 1 3. -2 4. 4 5. -4 6. 0 7. -2 8. -11 9. -3 10. -2 Prac 147 1. -1 ; 2 (+3) 2. -6 ; -10 4. -10 ; -5 3. -24 ; -48 (2) 5. -23 ; -29 (–6) Prac 148 1. -10 2. 4 3. -3 4. 6 5. -6 6. 3 7. -1 8. 9 9. -5 10. -2 Prac 149 1. a questionnaire / ‘n vraelys / frekwensie 2. frequency / steekproef 3. a sample 4. 6 / grafieke 5. graphs / mediaan 6. median / 7de 7. 7th / modus 8. mode / omvang 9. range / gemiddeld 10. mean Prac 150 1. 15 2. 27 (8th score) / (8ste telling) 3. 15 to/tot 37 4. 26 Gr 7 Aanvullende Wiskunde 11 Prac 151 Prac 152 1 72 18 4 1 ii) 72 12 6 1 iii) 72 12 6 1 iv) 72 24 3 1 v) 72 6 12 Prac 153 i) 1. 6 2. 13 (–4) (÷2) 7 5 8 21 13 21 4 13 34 Prac 154 1. a) 116cm b) 118cm c) 127 - 115cm = 12cm d) 720 ÷ 6cm = 120cm a) 9,6kg b) (10,4 + 9,6) ÷ 2 = 10kg c) (12,3 - 9,3) kg = 3kg d) 63kg ÷ 6 = 10,5kg Prac 155 2. 1 or/of 50% 2 6 1 2. 18 3 4 2 3. (2, 3, 5, 7) 10 5 4 1 4. or/of (1, 2, 4, 8) 8 2 5. 20% Prac 156 1. multiple / veelvoud 2. factor / faktor 3. 16 4. 2 5. 8 - 16 + 9 = 1 6. 1000 + 10 = 1010 1. Prac Maths © Copyright Reserved 7. 9 16 25 5 8. 4 + 2 = 6 9. an odd / onewe 10. negative / negatiewe Prac 157 1. 4 2. 5 3. area of base / opp. van basis 4. 9 5. 222 cm3 = 8 cm3 6. –5 –25 = –30 7. y = 7 + 2 = 9 8. –2 9. 44 (Tn = 4n + 4) 10. 64 & 125 Prac 158 1. 1236 2. 14 4 2 3. 6 3 1 1 4. 4 4 2 2 5. 10 6. 28 7. 5 13kg = 65kg 8. 3 R18 = R54 9. 2,535 2 R40 = R16 10. 5 Prac 159 1. 0 + 0,27 = 0,27 2. 8,65 10 = 86,5 32 h = 24min 3. 80 4. 15 : 300 = 1 : 20 5. 2100g = 2,1kg 6. 6 7. 18 3 180= 135 8. 4 4 9. R42 = R24 7 10. 1 , 2 Prac 160 1. 30 2. 29, 31, 37, 41 3. 1, 2, 4, 7, 14, 28 4. 11, 24 5. 72 6. 24 + 6 + 3 = 33 7. 26, 961 8. 4380g 0,06 = 262,8g 2956 = R1478 9. R 2 10. an isosceles triangle / ‘n gelykbenige driehoek 8 Gr 7 Supplementary Maths B Homework or Revision / Huiswerk of Hersiening Gr 7 Aanvullende Wiskunde HW 6 1. HW 1 1. 80 000 2. 0 ; 1 ; 2 3. 9 ; 18 ; 27 ; 36 4. 5740 5. 246 871 ; 246 873 6. 11 110 7. 300 8. 141 200 9. 47 856 10. 31 206 HW 2 1. 108 + 12 = 120 2. 72 - 42 = 30 3. 30 - 20 = 10 4. 25 + 25 = 50 6. 100 - 84 = 16 5. 100 9 = 900 8. 40 7. 64 + 36 = 100 10. 160 + 240 = 400 9. 150 - 25 = 125 HW 3 1. a) 4123 28 = 4123 7 4 or 4123 4 7 = 28861 4 or 16492 7 = 115444 or 115444 b) 3570 ÷ 15 = 3570 ÷ 5 ÷ 3 or 3570 ÷ 3 ÷ 5 or 1190 ÷ 5 = 714 ÷ 3 = 238 or 238 (n 100) 2. 258 500 258 000 (n 1000) 260 000 (n 10 000) 3. a) 9000 b) 5000 HW 9 1. 70 = 2 5 7 84 = 2 2 3 7 a) HCF/GGF = 2 7 = 14 b) LCM/KGV = 2 5 7 2 3 = 420 2. 2. a) 18 = 2 3 3 b) 28 = 2 2 7 c) 27 = 3 3 3 d)42 = 2 3 7 HW 7 1. 156 = 2 2 3 13 208 = 2 2 2 2 13 a) HCF/GGF = 2 2 13 = 52 b) LCM/KGV = 2 2 3 13 2 2 = 624 HW 10 a) 1 : 3 c) 8 : 11 b) 1 : 3 d) 2 : 11 f) 5 : 9 e) 2 : 5 g) 3 : 7 i) 8 : 5 h) 9 : 11 3 2 10 9 8 9 : j) : l) : k) 6 6 6 6 12 12 =8:9 = 3: 2 = 10 : 9 HW 11 1. HW 4 1. a) 43 963 ; 44 063 ; … b) 52 057 ; 519 57 ; … c) 19 741 ; 20 741 ; … d) 20 346 ; 19 346 ; … e) 694 781 ; 695 281 ; … 2. a) 4265 b) 4586 HW 5 1. a) 2, 3, 5, 7, 11, 13 b) 1, 2, 3, 4, 6, 8, 12, 24 c) 2 & 3 d) 1, 2, 3, 6, 7, 14, 21, 42 e) 2, 3, 7 2. a) 18 b) 3 & 9 c) number ends in 0 or 5 / die getal met 0 of 5 eindig d) last 2 digits divisible by 4 / laaste 2 syfers deelbaar is deur 4 9 a) 90 = 2 3 3 5 b) 140 = 2 2 5 7 c) 198 = 2 3 3 11 d) 910 = 2 5 7 13 2. a) 6 b) 9 c) 15 d) 1 e) 1 f) 1 HW 8 1. a) 15: 1 , 3 , 5 , 15 45: 1 , 3 , 5 , 9 , 15 , 45 HCF = 15 b) 42: 1, 2, 3, 6, 7, 14, 21, 42 63: 1, 3, 7, 9, 21, 63 HCF = 21 2. a) 12 b) 18 c) 28 d) 15 e) 77 f) 26 Prac Maths © Copyright Reserved 2. a) R42,00 R168,00 c) R24,00 R16,00 HW 12 1. a) R9,00 R49,00 c) R3,50 R17,50 3 2. a) 8 b) R56,00 R336,00 d) R27,00 R108,00 b) R13,00 R130,00 d) R2,50 R17,50 5 b) 8 Gr 7 Supplementary Maths HW 13 Gr 7 Aanvullende Wiskunde HW 18 HW 21 1. a) similar / gelyvormige b) congruent / kongruente 2. i) a & b ii) c 3. a) x = 90 - 38 = 52 b) Ĉ1 = 100 & x = 80 4 R154 = R88,00 7 3 T: R154 = R66,00 7 1. M: 2. A: 1 54 6 =9 3. 2 54 6 = 18 B: 3 54 6 = 27 A: 148 km/h = 37km/h 4 400 b) Time/Tydsduur = = 5h 80 c) i) Distance/Afstand = 110 3 = 330km ii) Distance/Afstand = 110 4 21 = 495km 10 HW 22 a) Speed/Spoed = HW 14 1. a) 53 b) 35 c) 84 2. a) 2 2 2 b) 3 3 3. a) 1 + 3 = 4 b) 8 + 9 = 17 d) 16-4 = 12 e) 32 - 25 =7 g) 4 4 =16 h) 9 8 = 72 j) 16 ÷ 4 = 4 k) 16÷16 = 1 HW 15 1. a) 15-10 = 5 d) 9 - 1 = 8 2. a) 5 + 3 = 8 d) 10 - 8 = 2 c) 25 f) 1 - 0 = 1 i) 125 l) 64÷4 =16 b) 30-5 = 25 e) 6 + 4 = 10 c) 28 + 4=32 f) 12 -2 =10 b) 36 - 6 =30 e) 36 = 6 c) 25 = 5 f) 127 = 84 HW 16 1. a) 2+16 = 18 d) 7 2. a) 22 c) 23 b) 12+3 = 15 e) 2 3 =6 c) 1 + 4 = 5 f) 2 - 1 = 1 b) 3 5 d) 22 5 72 HW 17 1. a) BC b) BE c) an acute / skerp d) an obtuse / stomp 2. 3. HW 19 a) 180 b) between 270 and 360 / tussen 270 en 360 a) a protractor / ‘n gradeboog b) i) 38 ii) 78 iii) 122 HW 20 1. a) Scalene obtuse-angled / Gelyksydig stomphoekig b) Scalene right-angled / Ongelyksydig reghoekig c) Scalene acute-angled / Ongelyksydig skerphoekig 2. a) Rectangle b) Parallelogram c) Kite d) Rhombus e) Trapezium f) Square 3. a) 2 c) 0 / Reghoek / Parallelogram / Vlieër / Ruit / Trapesium / Vierkant b) 3 d) 5 HW 23 1. 5 a) 7 e) 5 2. a) 6 3 8 8 3 = 8 HW 24 1. 11 a) 4 b) 5 9 f) 6 1 11 g) 8 6 13 h) 7 b) 7 6 9 9 1 = 9 c) 10 3 12 12 7 = 12 d) 20 14 35 35 6 = 35 b) d) c) 17 5 c) 37 7 d) 2. a) 3 2 3 b) 3 5 6 c) 5 4 9 d) 8 3. a) Prac Maths © Copyright Reserved 57 8 11 12 b) 5 1 6 c) 1 2 3 11 Gr 7 Supplementary Maths HW 25 1. a) 3 1 e) 4 b) 5 1 f) 20 d) 12 5 h) 42 c) 15 3 g) 14 2. a) 2 3 b) HW 26 1. 5 a) 6 4 5 c) b) 2 HW 27 1. a) 28mm 140mm 4 20 1 5 2. a) R4,50 i) R13,50 ii) R40,50 iii) R67,50 1 2 2 7 d) 1 c) 5 12 48 min 120 min 4 10 2 5 b) R13,50 i) R4,50 ii) R18,00 iii) R3,60 HW 28 1. a) 1,03 ; 1,12 b) 1,497 ; 1,488 2. a) 7,3 b) 4,3 c) 187 3. a) 0,22 b) 0,28 c) 0,096 d) 0, 3 e) 0, 6 4. 2. a) 4,43 b) 9,825 c) 3,035 d) 1,755 3. a) 2,4 e) 0,0006 HW 30 2. B - 0,04 B - 1,64 30 100 240 1 = 12 2 36 b) % 100 90 = 40 75 100 c) % 375 = 20 2. a) Incr. amount / Vermeerderde bedrag = 1,15 R80 = 11,5 R8 = R92,00 b) Decr. mass / Verminderde massa = 0,4 750kg = 300kg a) % b) 0,24 f) 0,0040 c) 0,27 g) 0,48 d) 0,027 h) 0,0026 HW 31 1. a) 11 HW 33 1. a) 34 2 = 68 b) 130 3 = 390 c) 21,04 3 = 63,12 d) 0,42 4 = 1,68 a) 0,5 b) 0,04 c) 0,009 d) 0,541 0, 846 e) = 0,423 2 2, 853 f) = 0,317 9 1. b) 3. Fraction left / Breukdeel oor 3 1 4 3 2 2 = 1 – 1 7 2 7 7 7 7 f) 0, 2 a) A - 0,01 b) A - 1,62 Gr 7 Aanvullende Wiskunde 2000 500 7000 40 b) 2. a) 0,786 51,62 2,46 8,491 HW 32 1. 5000 6000 8000 3000 b) 5,324 1,004 0,653 0,546 c) 20 000 100 4000 1 000 000 c) 0,4819 6,592 2,479 0,9548 3. a) 3 70kg = 210kg b) 10% = 30km Tot. = 300km HW 34 1. Discount / Afslag = R14,50 1450 10 %= 145 R 8400 2. SI / ER = 6, 5 3 100 = R1638,00 3. Loss / Verlies = R735 735 100 30 %= 2450 4. Profit / Wins = R288 288 100 40 %= 720 HW 35 1. a) b) 2 2, 8 3 5 6, 3 3 7 8, 4 6 2. a) 1st = 5 + 3 = 8 & 10th = 50 + 3 = 53 b) C - 0,08 C - 1,68 HW 29 1. 2. a) 1 2 60 = 30 b) 1 5 45 = 9 c) 2 3 27 = 18 Prac Maths © Copyright Reserved Gr 7 Supplementary Maths HW 36 1. a) P = 2 (12 + 8,6) cm = 2 (20,6) cm = 41,2 cm b) ℓ = 40,5 ÷ 5cm = 8,1cm P = 2 (8,1 + 5) cm = 26,2 cm Gr 7 Aanvullende Wiskunde 2. a) b) c) d) 3. a) a) Rectangle / Reghoek b) Parallelogram c) Triangle / Driehoek 8n 6n+1 3n 2 n2 HW 43 a) 8 right & 2 down / 8 regs & 2 af b) 2. 8 6 2 m 2 = 24 m2 6 4 2 m b) Area = 2 = 12 m2 9 5 2 m c) Area = 2 = 22 21 m2 12 a) Area = HW 37 1. a) ℓ = 5m Vol = 53 m3 = 125m3 b) Vol = 6 5 3 cm3 = 90cm3 c) Vol = 5 2,4 7 cm3 = 12 7 cm3 = 84cm3 No./Aantal mℓ = 84mℓ 2. a) b) Area = 125 ÷ 5 m2 = 25m2 8 5,4 h = 116,64 h = 116,64 ÷ 8 ÷ 5,4 m = 2,7m HW 38 1. a) 6ℓ2 b) 2ℓb + 2ℓh + 2bh or/of 2ℓb + 2(b+ℓ)h 2. a) S-A / B-Opp. = 2 [77 5 + 53 + 7 3] cm2 = 2 [35 + 15 + 21] cm2 = 2 (71) cm2 = 142 cm2 b) S-A / B-Opp. = 2 [5540 + 4020 + 5520] cm2 = 2 [ 2200 + 800 + 1100] cm2 = 2 [4100] cm2 = 8200 cm2 3. Area of one face / Opp. van een vlak = 216 ÷ 6 cm2 = 36 cm2 Length / Lengte = 6 cm b) HW 40 1. b) 1 a) 3 d) –5 c) 3 2. a) x + y + 2 b) 3x – y 3. The square of t decreased by 1 is equal to p t kwadraat verminder met 1 is gelyk aan p 4. a) 12 - 4 + 1 = 9 b) 9 + 27 - 16 = 20 HW 41 1. a) x + 7 = 13 b) t - 9 = 8 c) 5k = k + 11 2. a) 9 b) 11 HW 42 1. A(1 ; 2) C(3 ; 4) E(6 ; 5) 2. c) 4 d) 36 B(3 ; 1) D(4 ; 3) F(5 ; 2) HW 39 1. a) 19 ; 24 b) 15 ; 8 c) 32 ; 64 d) 9 ; 3 Prac Maths © Copyright Reserved c) d) HW 44 1. a) -3 ; -2 ; -1 ; 0 b) -13 ; -16 ; -19 ; -22 c) -9 ; -6 ; -3 ; 0 2. a) -97 < -83 < -79 < -38 b) -614 < -461 < -164 < -146 3. a) 2 b) 2 c) -261 d) -10 e) -16 f) -301 HW 45 1. d) -9 c) -4 b) -18 a) -6 h) -7 g) 8 f) -10 e) -6 2. a) -3 b) +8 3. d) -8 c) 16 b) 16 a) 8 h) -1 g) -10 f) -8 e) 9 Gr 7 Supplementary Maths Gr 7 Aanvullende Wiskunde RHS / RK = - 6 - 2 = -8 x = -1 LHS / LK = -5 RHS / RK = -5 x = -1 HW 46 a) b) HW 51 a) HW 50 1. a) c) d) HW 47 1. a) p c) 3 b) 2 pt 2 d) pt 2 b) 16 - 12 = 4 c) 12 12 12 13 13 15 15 16 16 16 d) 14 e) 16 f) (36 + 26 + 30 + 48) ÷ 10 = 14 g) 8 pt b) i) 61 - 19 = 42 ii) 37 iii) 507 ÷ 13 = 39 HW 52 a) 2 2 e) p t 2. a) 2 (t - 7) b) 6t - t3 c) ct + x d) p2 - p 3. a) (x + 3) years / jare (x - 5) years / jares b) R5t HW 48 1. a) 6 + 1 = 7 b) 4 - 3 = 1 c) 1 - 4 = -3 2. a) -6 b) -6 c) 2 - 8 = -6 d) -5 - 9 = -14 e) -16 + 4 = -12 f) -5 + 4 = -1 b) HW 53 1. 4 2 a) 18 19 6 1 b) 18 3 c) 0 2. 3 1 a) 6 2 3 1 b) 6 2 4 2 c) 6 3 3. a) -1 ; 0 ; -1 ; … b) … -2 ; -1 ; 0 ; 1 c) -3 ; -2 ; -1 HW 49 1. c) -4 b) 4 a) -5 g) 0 f) -4 e) -2 2. a) LHS / LK = -4 + 1 = -3 RHS / RK = -2 -1 = -3 x = -2 b) x = -2 LHS / LK = -2 - 4 = -6 d) -12 h) -3 Prac Maths © Copyright Reserved (1 , 3 , 5) (2 , 3 , 5) (1 , 2 , 3 , 6) 13 Gr 7 Supplementary Maths 3. Gr 7 Aanvullende Wiskunde Measurement / Meting 3 a) 10 2 1 b) 10 5 11. B 1. D 2. C 12. A 3. A 13. D 4. C 14. C 5. A 15. D 6. D 16. B 7. C 17. B 8. B 18. D 9. C 19. A 10. C 20. B Word Sums / Woordsomme HW 54 1. 15 3 a) 50 10 42 21 b) 50 25 2. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 26 1 a) P(red/rooi) = 52 2 4 1 b) P(10) = 52 13 2 1 c) P(B6) = 52 26 D A C B D A C C D B 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. C D A C B D D B C A C Multiple Choice Questions/ Meervoudige Keusevrae Numbers and Operations / Getalle en Bewerkings 1. C 23. 2. D 24. 3. C 25. 4. C 26. 5. A 27. 6. C 28. 7. A 29. 8. B 30. 9. D 31. 10. C 32. 11. B 33. 12. A 34. 13. D 35. 14. B 36. 15. C 37. 16. D 38. 17. A 39. 18. B 40. 19. D 41. 20. B 42. 21. D 43. 22. C 44. Space and Shape / Ruimte en Vorm 1. 2. 3. 4. 5. 6. 7. C C D C D A B 8. 9. 10. 11. 12. 13. 14. B B D D C B A D B A D D B B C B D C B D A C 45. 46. 47. 48. 49. 50. 51. 52. 53. 54. 55. 56. 57. 58. 59. 60. 61. 62. 63. 64. 65. B D C D D B B D B B D A A C B A D A D C C D C B B D A B Prac Maths © Copyright Reserved 14