1 a 4 b 14 c 6 d 18. e 11 f 19 g 29 h a = 5 2 = 3 b 3 7 = = 4. c 0 9 = = 9 d = = 17
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1 Camridge Essentials Mathematis Extension 8 N. Answers N. Answers a 6 d 8 e f 9 g 9 h a + = = = + = 0 9 = = 9 d + 6 = + 6 = e + = + = f + 8 = + 8 = 0 a d 0 e f 0 g 8 h i j k l 96 x y x y 0 0 x + y a i = 9 ii = 9 = 6 = 6 = = 0 = 0 0 = 0 = = = 6 = 6 = 9 = 9 In part i the answers derease in s and in part ii the answers inrease in s. The answer is a negative numer. d The answer is a positive numer. Original Material Camridge University Press 009
2 Camridge Essentials Mathematis Extension 8 N. Answers 6 a 8 d e 60 f 0 g 0 h 0 i 6 j 00 k 00 l m 6 n o 9 p a 6; 6; ; 8; 8; 9; 9; 6; 6 9; 9; 9 a The top numer is the produt of the middle two numers. The ottom numer is the sum of the middle two numers. 0 a 9 a d e 8 f 9 g h 8 i j 8 k 6 l Original Material Camridge University Press 009
3 Camridge Essentials Mathematis Extension 8 N. Answers a Any orret questions with answer 6, e.g. = 6. Any orret questions with answer, e.g. 6 =. Any orret questions with answer, e.g. =. d Any orret questions with answer 60, e.g. 80 = 60. x y x y a 6 8 d 8 e f g h 0 i 0 a + 6 =, 8 6 = 0 =, = 8 + =, ( ) = 6 =, ( ) = = 8, 8 = =, = =, ( ) 0 = = + = 6 x y x + y x y x y x y Original Material Camridge University Press 009
4 Camridge Essentials Mathematis Extension 8 N. Answers a i ( ) = + = 8 Equation must e equal to zero for to e a solution. ii x = and x = i x = and x = ii x = and x = Original Material Camridge University Press 009
5 Camridge Essentials Mathematis Extension 8 N. Answers N. Answers Ben is right 0 0 = 00. a = = = = = = 8 = 9 = 69 = 9 = 6 = 96 = 6 = = = 6 6 = 6 6 = 6 6 = 66 = 9 = 89 = 9 8 = 6 8 = 8 = 8 9 = 8 9 = 6 9 = 8 0 = 00 0 = 00 0 = If the last digit is or 8 then the numer squared ends in. If the last digit is or then the numer squared ends in 9. If the last digit is or 6 then the numer squared ends in 6. If the last digit is then the numer squared ends in. d, 8, 66 e = 0 ; 0 + = 6 ; 8 + = 0 ; + = ; + 6 = 0 ; + = ; 8 + = a i = ii 0 = or 0 = iii 00 = or 00 = or 00 = or 00 = or 00 = or 00 = iv 8 = or 8 = or 8 = v = or = Original Material Camridge University Press 009
6 Camridge Essentials Mathematis Extension 8 N. Answers i Yes, eause = = ii = = = = = = = = = = d Pupils hoose their own numer and find all the different ways of writing it as the sum of four square numers. a d 0 e f g 6 h i 99 j 8 k 0 l 0 a 00 = 00 = 00 = 0 = 0 00 = 00 = 00 = 0 = = 6 00 = 6 00 = 8 0 = 80 d 900 = 9 00 = 9 00 = 0 = 0 6 = not possile = 9 = + = = + 8 = 6 = 6 + = 9 = + 9 = 8 = 9 + = 6 = + 0 = 00 = 9 + = = + = not possile 6 = 6 = + = = 9 + Original Material Camridge University Press 009
7 Camridge Essentials Mathematis Extension 8 N. Answers a n n , = and = ; 8 = and + + = 8; = 9 and = ; 8 = 8 and =8 d i 0 = ii 00 = iii 9 = iv = v 6 = + e = a, 8 i ii 9 iii 6 iv 00 Yes. The sum of the ue numers is equal to the square of a triangular numer, for example, the sum of the first two ue numers, + is equal to the square of the nd triangular numer. This is true for every triangular numer. d 8 = 8 9 Even Cue numer Odd Fators of 8 Square numer 6 6 Multiples of 9 0 a 6 d 6 e f 6 g h 0 Original Material Camridge University Press 009
8 Camridge Essentials Mathematis Extension 8 N. Answers a d 6 e 9 9 f g 0 h 0 a, 9 8 If you take loks to make a square-ased pyramid there will e lok in the top layer, in the seond layer, 9 in the third layer and so on. a ( ) = 8 ( ) = ( ) = d ( 6) = 6 e ( 9) = 9 a ( ) ( ) + 6 = = 0. Yes, x = is a solution. + 6 = + 6 =. No, x = is not a solution. x = and x = d x = and x = and x = a 9 d 66 e 00 f 66 g 66 h 8 6 a d 9. e.9 f 0.0 g 9 h 8000 i 096 j 6 k.8 l 00.0 a < 6 < < < 6 < < d 9 < 88 < 0 e < < f < 00 < 8 a Choose a igger numer if the answer is too small and a smaller numer if the answer is too ig. This will get you loser and loser to the answer...0 < x <. 9 a The answer for is too ig and the answer for is too small... < x <. 0. < x <.8 Original Material Camridge University Press 009
9 Camridge Essentials Mathematis Extension 8 N. Answers N. Answers a 8 0 d e 0 a d e 60 f 0 g 60 h 0 a, 0;, ;, 0;, 6 Any three numers whose lowest ommon multiple is 6. a,,, 6,,, 8, 6,,, 9, d,,,, 8, 0, 0, 0 e,,,, 6, 8,, 6,, 8 a, and d i 0:,,,, 6, 0,, 0 8:,,, 6, 9, 8 Common fators are,, and 6. Highest ommon fator is 6. ii :,,, 9,, 6:,,, 9,, 6 :,,,, 6, 8, 9,, 8,, 6, Common fators are, and 9. Highest ommon fator is 9. iii :,,,, 6, 6:,,, 6 9:,,, 9 Common fators are and. Highest ommon fator is. iv 6:,,, 8, 6,, 6 8:,,,, 6,,,,, 8,, 8 0:,,, 8,, 6,, 0 Common fators are,, and. Highest ommon fator is. Original Material Camridge University Press 009
10 Camridge Essentials Mathematis Extension 8 N. Answers 6 Fator of 0 Multiple of 8 Odd numer Multiple of 6 Fator of Multiple of 80 a,,,,,,, 9,, 9,,,,,,, and 9 If it ended in 0,, or 8, it would e even and have a fator of. If it ended in a, it would have a fator of. 8 a yes no no d no e no f no g yes h yes i no 9 The answers less than 00 are:,,,. 0 True for all values of n and p. a Fator of Multiple of Prime numer Multiple of Fator of 9 Multiple of 6 Pupils tales. a Yes.,,, 9,,,, 6,, 89, 9 = + = + = + 6 = 6 + = + = = + 89 = 8 + = = 9 + = + Original Material Camridge University Press 009
11 Camridge Essentials Mathematis Extension 8 N. Answers 6 = 6 = 6 = 6 = It makes no differene to the final answer whih fators you egin the tree with. a d e f g h a 80 = 0 = 0 = 0 = = i ii iii iv v vi vii viii ix 6 x 6 a = 8 whih means that 90 is a multiple of 8, so 8 is a fator 90.,,,, 6, 8,,,,. a,,,,,,, 8,,,, 08 Original Material Camridge University Press 009
12 Camridge Essentials Mathematis Extension 8 N. Answers 8 a 9 d Write numerator and denominator as produts of prime fators and anel ommon fators. e i = = 0 ii 6 0 = = iii 0 = = 6 9 a 80 = = Common fators (irled) are,, Highest ommon fator is 8 0 a d 60 a = ; = = 60 a i ii 0 i 6 ii 96 i 9 ii 80 d i ii 0 e i ii 6 f i ii 90 g i 0 ii 80 h i ii 80 i i ii 88 Original Material Camridge University Press 009
13 Camridge Essentials Mathematis Extension 8 N. Answers N. Answers a d 9 0 e 8 f 00 g 9 h 9 00 a 0 d e 9 f 00 g h a d. e.6 a d 0. e 0.06 f.06 g.68 h. a 00 minutes or hours Maths English Siene History Geography RS Frenh Art Musi a 0. Goes on forever d e =, so = f 6 =., = , =, =. Original Material Camridge University Press 009
14 Camridge Essentials Mathematis Extension 8 N. Answers = , = 0..., = a = 0.00 The numerator is repeated as deimal part. d 0. e f , 0., a i 0. ii iii 0.8 iv 0... v vi 0. vii 0. viii i Parts i, vi and vii give terminating deimals. ii Parts ii, iii, iv, v and viii give reurring deimals. 0 Pupils own results Fration Deimal Eah reurring deimal onsists of the yle 8, starting at different digits. a,,, 6,,, 6 8,, 8 9 d,,, 6 0 a d a 9 0 d 8 6 Pupil s answer. Original Material Camridge University Press 009
15 Camridge Essentials Mathematis Extension 8 N. Answers N. Answers a 6 d e f g h 8 + = + = a d e f g 9 h 6 8 a or or 0 0 or 8 8 d 9 8 or e f 6 g or h = = a 8 8 d 8 e 9 f g h a 8 0 d e 6 f 6 g 0 6 h Original Material Camridge University Press 009
16 Camridge Essentials Mathematis Extension 8 N. Answers There are many ways these an e written. The following are examples. a = = + = d 9 = + 0 e = + 0 a g d 8 kg e 6 f 6 g m h p i m a ii i of 8 8 Original Material Camridge University Press 009
17 Camridge Essentials Mathematis Extension 8 N. Answers a 0 0 = 80 0 d 8 e 8 9 = 80 0 f Silver 90, lak, red and lue 8 a 0 9 d e f 6 g 8 h a kg 6 kg m d 6 g 6 e m f 6 seonds g ml h 6 ( 6.0) 6 80 = 0 0 = = = = = 008 a 0 d e 8 f 8 a 8 9 Dividing y is the same as multiplying y. 0 a 0 60 d 0 e f 90 g 0 h Original Material Camridge University Press 009
18 Camridge Essentials Mathematis Extension 8 N. Answers a 0 = 6 therefore 6 = 0 and 6 0 = = 6 therefore 6 = and 6 = 0 = 6 therefore 6 = 0 and 6 0 = d = 6 therefore 6 = and 6 = a Answer is smaller Answer is larger a 8 d = 8 a a 6 = = = a 6 = = Pupils who walk to shool ut do not have shool dinners. a F = = = 0 9 a a 8 a 0000 = 0000 months Original Material Camridge University Press 009
19 Camridge Essentials Mathematis Extension 8 N. Answers N. Answers a d e f g Fration Deimal Perentage 0. % % 0.6 6% 0. % % 0.8 8% 0.0 % a d 00 e 8 a 69% % 8.% d 6% e.6% Plain Cheese and onion Salt and vinegar BBQ Prawn Coktail a 6 % % % % 0% 0 a.6.96 d. e f.6 6 a.08 kg.96.9 km d 9.8 m e 8.0 f 9. kg g. litres h 0.0 tonnes i. m Original Material Camridge University Press 009
20 Camridge Essentials Mathematis Extension 8 N. Answers a a m 0 a % 0% % d.%.% (to deimal plae) a. Sujet English Maths Geography History Siene Sore Perentage 8.% 88.9% 80% 90% 8.% History was Steve s est result. a 8% 8.%.% d.%.% 6 a d.0 e 8.68 f.0 a d a This year s ounil tax ill will e 0% of last year s ill. 0% is equivalent to.0 i 8 ii 09 iii a a a Yes, it is now 68.9%, whih is an inrease of.%. 89. a Original Material Camridge University Press 009
21 Camridge Essentials Mathematis Extension 8 N. Answers a 6.6 kg.89 kg days a No, in years it will generate.% of the world s eletriity. No, in years it will generate.% of world s eletriity. Original Material Camridge University Press 009
22 Camridge Essentials Mathematis Extension 8 N. Answers N. Answers a d 0. e 0. f 0.8 g 0.6 h 0.9 i 0. a i 0. ii Pupil s hek iii 0.8, methods inlude 0. or 0. i 0.0 ii 0.06 iii 0.0 iv 0.8 a 0 d 8 e 0 9 f 8 8 g h i 0 Frations Deimals Perentage 0. 0% % 0. % % % 0 0. % 0. % 0. 0% 0.0 % Original Material Camridge University Press 009
23 Camridge Essentials Mathematis Extension 8 N. Answers a The hoolate digestive is Britain s favourite isuit. The hoolate hono ame seond in a poll of 000 people. Aout % of people in the UK eat isuits as a midmorning snak ut the largest proportion, 0%, eat them as they wath TV. 90% of people say that parents should e told if their hildren are oese. More than 0% said the government should aandon its plan to allow parents to opt out of eing told. The poll used a researh panel of a hundred families, eah of two adults and up to four hildren. 6 a.0. kg.0 d 6.80 e.96 km f m g h 0. km Year % of total TV audiene 9.9%.8%.% Estimated total TV audiene in millions Estimated programme audiene in millions a, 96.,, 66., 9 a d 6. e 6 f p 0 a i 0 ii 0 i 0 ii 0 i 0 ii 0 d It does not matter whih perentage you find first, the answers are the same. = = 8 = 0. = = =. Original Material Camridge University Press 009
24 Camridge Essentials Mathematis Extension 8 N. Answers a. 0. d 0. e 00 f 0 a d 6 e 0.06 f 60 a d 0.00 a d Many different answers are possile. ( + ) ( + ) = 6 or ( ) = 6 8 Numers from to 0 exept,, 9 and 0. 9 = 00 = =, moving plaes left = 00, 00 = 0 Numer (x) Square (x ) Cue (x ) a 80 = = = = = = = = = = = 9 + All of them. Original Material Camridge University Press 009
25 Camridge Essentials Mathematis Extension 8 N. Answers = = 8 0 = + 60 = 8 = 6 = = + 0 an not e done = + = 0 0 an not e done 80 = 9 = 6 8 = = 90 = 9 + = = 0 = + 00 = a d e f a 8 0 d e 0 f a 6 or 8 or 69 or or 6 or or or 6 68 or 6 08 or 6 98 or 6 68 or 6 6 d or or or or 6 a 6 or or or 6 80 or 80 or or 6 0 or 6 or 6 0 d 8 0 a,, ,, 9 Original Material Camridge University Press 009
26 Camridge Essentials Mathematis Extension 8 N. Answers N. Answers a d 0 e 0 6 f 0 g 0 0 h 0 9 a a m = 0 m m = 0 m m = 0 mm d mm = 0 m e m = 0 mm f mm = 0 m a nm = 0 9 m nm = 0 6 mm m = 0 nm a d e f 00 g 0 h 6 a d 0 e 0 6 f 0 8 g 0 h 9 0 a d 0.08 e 0.6 f 0.0 g 0.09 h 6.8 i a d 000 e 00 f 00 g 800 h 000 i a d 0. e 000 f 6 g 0 h 0. i 0. 0 a Original Material Camridge University Press 009
27 Camridge Essentials Mathematis Extension 8 N. Answers a = = = 0. d = 0.8 a = 0.6 or = = 0.9 or = = 0. d = 0.6 or = 0.8 a d e f 9 a d e 60 f a d 0.8 e f 0.6 g 0. h 0. 6 a d 600 e 000 f 000 a i 6 90 ii 6 00 iii iv i ii iii iv v vi a m 8 m 0 litres d m e 8 kg f 0 m 9 a d.0 e 9.9 f 0.0 g 0.0 h a d 0.00 e. f 6.6 g 0.00 h a 0... d 0.8 e 0.0 f 0.8 a m m 0 m d 66 m a 8 m m Original Material Camridge University Press 009
28 Camridge Essentials Mathematis Extension 8 N. Answers N. Answers a d 9 e 9 f g 80 h 0 a d 69 e f 8 g h 0 a.6 9p.6 d. e.8 f 0. a d. e.8 f 0. g.6 h.8 a.0 i 9.6 m ii 6.8 m d m 6 a 6 8 d 8 e f 6 g 0 h a 68 pupils 608 m 8 m d hairs 8 a a 6 8 d e 6 f g 8 h i j 6 k 0 l a 960 Four and a half hours. Original Material Camridge University Press 009
29 Camridge Essentials Mathematis Extension 8 N. Answers Deimal Fration Perentage Deimal Fration Perentage 0. 0% 0. 8.% 0. % % 0. % % %. 0% 0. 0%. 6 0% %. 9 0 % 0. %. 0% a 0 0 d 6 e f 8 g h 6 i j k 60 l m n o. p 6. a 0 6 d e a d e 8.8 f. g 0. h 0 0. i.8 a.8 m 0. m. m Original Material Camridge University Press 009
30 Camridge Essentials Mathematis Extension 8 N. Answers 8 a = = = d = e = 8 f 0 = g = 000 h = i 9 6 = 8 j = 89 k = l 6 = 0 m = 0 n = o = 9 a = 00 whih is larger than the true value = 800 or = 00 9 Original Material Camridge University Press 009
31 Camridge Essentials Mathematis Extension 8 N. Answers N. Answers a d.0 e.96 f g h 6.8 i.09 a d. e. f 8.09 a. 8.9 d. e 88.6 f. g.6 h 90.9 i.68 a d 9.6 e.6 f 9. a. m 0. kg x =.8 m d d =. m e l =. m f Paket X has mass.9 kg 6 a i 90 ii 80 i 00 ii 6 i 0 ii 60.6 d i 00 ii. e i 000 ii 0. f i 000 ii.8 g i ii 6.9 h i 900 ii 9. i i 0 ii. Original Material Camridge University Press 009
32 Camridge Essentials Mathematis Extension 8 N. Answers a 96.8 g d 0.8 m 8 a d. e. f 0. 9 Get original numer ak. = 00 Dividing y 00 is the same as dividing y (000 + ) aa 00 = a sine a 00 = a (000 + ) = a a = aa 0 a 0. d 6.9 e.6 f 6.9 g 00 h.8 i. j.6 k. l.6 a x =.8 m x = 6. m x = 6. m d x = 6 mm a d 0.8 e 0. f a 8% = 0.8, = 0., = 0.6 so in order:, 0.,, 8% = 0., = 0.8, 0.% = 0.0 so in order:, 0.%, 0., a x = 0.9 x =.6 Original Material Camridge University Press 009
33 Camridge Essentials Mathematis Extension 8 N. Answers N. Answers a 8 d e f 8 g h. i 6. j 8 k 0 l 0 a d.6 e 8. f.6 g 6. h i a i 86 F ii 6. F iii F iv F v 0 F i 90 F ii 66 F iii 0 F iv 0 F v 0 F a C = 9 (F ) i.8 C ii. C iii.8 C iv 0 C v 0.0 C vi 60 d i C ii 0 C iii C iv C v C vi a d 9. e 8.0 f a 0.0 Dollars. Yuan 0.6 Euros d.8 Dollars a...6 Dollars 8 a.6 Euros,. US Dollars, 6.6 Japanese Yen and.9 Chinese Yuan.. Euros,.9 US Dollars,.0 Japanese Yen and. Chinese Yuan. Original Material Camridge University Press 009
34 Camridge Essentials Mathematis Extension 8 N. Answers Euros less 0 a hours 8 hours hours a minutes minutes 0 minutes d 0 minutes e minutes f minutes a hours 0 minutes hours minutes hour 8 minutes d hour 6 minutes e hours 9 minutes f hours minutes a 0 hours minutes hours minutes a hour minutes hour 0 minutes. minutes d e hour. minutes a 8 days hours 9 days 6 hours 0 days hours 0 minutes d day 0 minutes e days hours 0 minutes 6 a hours hours hour 0 minutes d minutes e hour 6 minutes a a mm 9 a m m 0 a m 9 m a 0 Mexian pesos 998 Mexian pesos Original Material Camridge University Press 009
35 Camridge Essentials Mathematis Extension 8 N. Answers N. Answers a 9 8 d 0.8 e 0 f g 8 h 6 i j k. l m 9 n 0. o 9 a 6 8 d e 08 f g h i a = (6 + ) 6 + = 9 (6 + ) (6 + ) = d 6 + (6 + ) = 8. e (6 + ) 8 = 9 f = g 6 + (8 ) = 96 h (6 + ) (8 ) = 60 a P = (x + y) P = 9 m P = (a + + ) 6 a P = (m + n) A = (m + n) (m + n) d ( m + n) a 0. < 6 0. < > 0. d 0. < e 0. =. f < 0. g 0. = h 0. 0 < 0 i < a 0.. d 0.8 e. f. g 0. h 0. i j 0. k. l. 9 a 8 0. > 8 0. > > 0 d > 0. e 0. = f 0. < 0. Original Material Camridge University Press 009
36 Camridge Essentials Mathematis Extension 8 N. Answers 0 a 0 0 d 0 e 00 f 000 g 000 h 000 i 000 a The answer is less than the original numer. The answer is more than the original numer. a The answer is more than the original numer. The answer is less than the original numer. a i False ii = 6 (smaller) i True ii 0. = i False ii 6 = (igger) Original Material Camridge University Press 009
37 Camridge Essentials Mathematis Extension 8 N. Answers N. Answers a = 8 is inorret. BIDMAS ditates that 8 8 is done first. 0 = 0 is inorret. 0 must e done first. (..8) = 0.09 is inorret. Estimate using ( ) = d = is inorret. Estimate using = 9. 9 e = 0 is inorret. Work out =. f (0 ) 0 = is inorret. 0 must e done after the rakets. g.9 = 600. is inorret. Estimate = = h.8 = 8.6 is inorret. Estimate 0 = 0. a 8 60 i 80 Must e slightly less than = ii.09 Estimate using =.. i 9. Answer must e slightly less than. d 00. ii = 000, = 00. a ii x =. iii p = 6 i m = + a The total of the perentages is 0% also 0% of =., % of = 6. and % of =., you an not have 0., 0. or 0. of a pupil. 0% of =. and % of =., you an not have 0. of a pupil. All perentages give whole numers of hildren and the numer of hildren totals 0. Mean must lie within the range of results. 6 kg is igger than the heaviest mass. Original Material Camridge University Press 009
38 Camridge Essentials Mathematis Extension 8 N. Answers N. Answers a 8 d e 9 f a : : : 8 d : e : 9 f : a 6 6 : d : a : d : a : : 9 Brown to Blue 6 a : : : d : e : f : g : h : i : 8 j : k : : l : 9 : a x = 6 p = n = 0 d y = 6 e a = f = g m = 0, n = h p = 8, q = 6 i d =, e = 8 8 a m. m 9 a : 00 m ( m m) 0 a 00 m 6 m a m. m Original Material Camridge University Press 009
39 Camridge Essentials Mathematis Extension 8 N. Answers a : 0 : : 0 d : 00 e : f : 00 g : 8000 h : i : 0 j : k : l : 0 a m, m m, 0 m 6 m, 8 m d m, 0 m e m, 9 m f 0. m,. m g m, 8 m, m h 6 m, 0 m, 8 m i 9 m,. m,. m j m, m, m a m, m 0 m, 8 m 0. m,. m d m, m, m e m, 8 m, m, m f m, m,. m, 9. m g m, 6 m, 0 m, 6 m, m h 6 m, 8 m, 0 m, m a litres 600 ml or 0.6 litres 00 ml or 0. litres 6 a 0 ml 8. ml 8. ml a 8 P 60; Q 60 8 a length m and width 0 m area = 900 m square side = 0 m d perimeter square : perimeter retangle is 0 : 0 = : 9 a Jar X = 6 sweets, jar Y = sweets Jar X = 0 sweets, jar Y = 6 sweets Jar X = sweets, jar Y = 9 sweets d Jar X = 8 sweets, jar Y = sweets e Jar X = sweets, jar Y = 6 sweets f Not possile as the ratio is greater than the ratios of oth jars. Original Material Camridge University Press 009
40 Camridge Essentials Mathematis Extension 8 N. Answers N. Answers a Pounds ( ) Japanese Yen ( ) a Pounds ( ) Euros ( ) d Euros less Original Material Camridge University Press 009
41 Camridge Essentials Mathematis Extension 8 N. Answers a 90 km/h Time (hours) Distane (km) d. km a 60 km.6 km 0.6 = km d 00 km = 6 miles, 00 km = miles, 0 km = miles so 0 km = miles. a :. : :. d : e : 0. f : 0. g : h : 9 6 a m. m :. d. m e 0 inhes f 0. inhes g : 0. h 0 inhes a 88 pints.6 pints :.6 d 6. pints e 0.8 litres f : 0.8 g L = 0.8P or P =.6L h 680 litres Original Material Camridge University Press 009
42 Camridge Essentials Mathematis Extension 8 N. Answers 8 a For every 0 g of mass the extension is m. M = E Original Material Camridge University Press 009
Unit 4 Answers. Exercise 4.1. KS3 Maths Progress Delta 1. 1 a 4 b 3 c 7 d 8. 2 a. b 1 3. c 3 8. d a. b 5 6 > 3 4. c 1 3 < 3 7.
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