Cambridge International Mathematics

ANSWERS 693 EXERCISE 12D.2 1a 114 b Tan walks at 114 metres per second. cConstant as the gradient is constant. 2a 105 km/h bi 11 ...

694 ANSWERS 9 b=¡ 3 10 a AB=BC=5units b X(^12 ,^12 ) c gradient BX£gradient AC=7£¡^17 =¡ 1 REVIEW SET 12B 1a(¡ 3 ,3) b p 58 unit ...

ANSWERS 695 EXERCISE 13B.2 1aNumber of red cars Tally Frequency 0 - 9 jjjj 4 10 - 19 ©©jjjj©©jjjjj 11 20 - 29 ©©jjjj©©jjjjjjj 13 ...

696 ANSWERS EXERCISE 13E 1a 1 b 2 c ¼ 1 : 90 d 3 2a i 5 : 74 ii 7 iii 8 iv 10 c bimodal b dThe mean takes into account the full ...

ANSWERS 697 d epositively skewed fmode=2 2aEmails sent last week Tally Frequency 0 - 9 ©©jjjjj 6 10 - 19 ©©jjjjjjjj 9 20 - 29 ©© ...

698 ANSWERS eix ¡^3 ¡^2 ¡^10123 y ¡ 5 ¡ 3 ¡ 11357 ii iiigradient=2, x-intercept is¡^12 , y-intercept is 1 fix ¡^3 ¡^2 ¡^10123 y ...

ANSWERS 699 cd ef gh i 2a b 3a b cd ef gh i 4a b 2 x¡ 3 y=¡ 8 5 EXERCISE 14F 1a ba trapezium c x=5 2a ba square c x=1, y=0, y=x¡ ...

700 ANSWERS 4 agradient of OA=4, gradient of BC=4 ) OAkBC OA=BC= p 17 units bgradient of OA=4 gradient of AB=¡^14 and 4 £¡^14 =¡ ...

ANSWERS 701 bAB=BC=CD=DA=10units cgradient of AB=¡^43 gradient of BC=^34 ) AB and BC are perpendicular. Fromb, ABCD is a rhombus ...

702 ANSWERS EXERCISE 15F.1 1a¼ 21 : 2 cm b¼ 35 : 3 o 2a¼ 9 : 43 cm b¼ 32 : 5 o c ¼ 10 : 8 cm d¼ 29 : 1 o 3a¼ 8 : 94 cm b¼ 18 : 5 ...

ANSWERS 703 2a^3 b+2a ab b^4 d+3a ad c^5 b¡^3 a ab d a m e^3 a+b 3 y f^3 2 a g^3 b¡^2 ab h dc+ab ad i 4+a b j 2 d¡ac ad k 15 +x^ ...

704 ANSWERS EXERCISE 17B 1a b 86 t< 12 c ¼ 7 : 26 min 2a b 656 m< 70 c ¼ 61 : 4 kg 3a b 356 d< 45 c ¼ 41 : 1 m 4 430 em ...

0 0.5 1 1.5 2 2.5 0 20406080100 height ( cm)h frequency density ANSWERS 705 REVIEW SET 17A 1aThe variable can take any value in ...

0 5 10 15 20 48 50 52 54 56 length (cm) frequency 706 ANSWERS 6a b 27 babies c 70%of them d Upper end point Cumulative frequency ...

ANSWERS 707 EXERCISE 19A 1a b cd e 2afreal numbersg bfmultiples of 2 which are not multiples of 4 g cfpositive real numbersg dfr ...

708 ANSWERS 5 Range is fyj¡ 76 y 61 g. 6 Range is fyj¡ 46 y 616 g. 7af(2) =¡ 3 b x¼¡ 1 : 4 , 2 or 3 : 4 8a 5 ¡ 2 a b 5+2a c 3 ¡ ...

ANSWERS 709 dy= n¡x if x> 0 3 x if x< 0 7a a b ja+bj jaj+jbj ja¡bj jaj¡jbj 25773 ¡ 3 2 ¡ 5377 ¡ 3 ¡ 25377 ¡ 3 ¡ 2 ¡ 5773 ¡ ...

710 ANSWERS 5a/b c A^0 (3,1),B^0 (8,¡1),C^0 (4,¡4) d 2 p 5 units 6 a translation of ¡ 5 5 ¢ 7ay=2x+7 b y=^13 x+1 c y=¡x+7 dy=¡^1 ...

ANSWERS 711 3a(4^12 ,6) b(0,2) 4a iy=2x ii y=2x biy=¡x+8 ii y=¡x+^43 ciy=2x+9 ii y=2x EXERCISE 20E 1a b c d 2a b 3a(3,¡4) b(4,10 ...

712 ANSWERS 5a ba stretch with invariantx-axis, factor^14 6a/b x-intercepts are§ 1 , y-intercept is¡ 1 cia vertical translation ...