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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1 KS Maths Progress Delta Unit Answers Exerise. a a = = 0 = = 0 a < > < >,,, a e Pearson Euation Lt 0. Copying permitte for purhasing institution only. This material is not opyright free.

2 KS Maths Progress Delta f 0 a 0 a 0 kg 00 ml m a 0 m 00 mm kg of m m Pearson Euation Lt 0. Copying permitte for purhasing institution only. This material is not opyright free.

3 KS Maths Progress Delta Unit Answers Exerise. a a 0 a remainer remainer remainer remainer a 0 a a Pearson Euation Lt 0. Copying permitte for purhasing institution only. This material is not opyright free.

4 KS Maths Progress Delta a Possile answers: 0 a 0 +, +, + et of an inh a a a Any one of: + = = = 0 0 Any one of: 0 a = = = = 0 = 0 0 = = = = 0 0 = 0 = 0 Pearson Euation Lt 0. Copying permitte for purhasing institution only. This material is not opyright free.

5 KS Maths Progress Delta 0 0 a 0, as the LCM of, 0 an is 0, an a normal lass size is aroun 0 stuents. Pearson Euation Lt 0. Copying permitte for purhasing institution only. This material is not opyright free.

6 KS Maths Progress Delta Unit Answers Exerise. a a Fration 0 0 Deimal Perentage 0% 0% % 0% 0% 0% 0% 0% % 0% 0% Fration 0 0 Deimal Perentage % 0% 0% 0% 0% 0% a. 000 a e 0. a 0 0. % 0 a A =, B =, C =, D =, E = Yes eause the suess rates are all lose to 0. A 0., B 0., C 0., D 0. (.p.), E 0. (.p.) 0 Yes. Fration arrot ake = = 0. =. % whih is approximately % 0 0 Pearson Euation Lt 0. Copying permitte for purhasing institution only. This material is not opyright free.

7 KS Maths Progress Delta a a Pearson Euation Lt 0. Copying permitte for purhasing institution only. This material is not opyright free.

8 KS Maths Progress Delta Unit Answers Exerise. a 0 m m 0 kg =, =, =, = 0 0 a 0 e 0 f g h 0 a kg m mm km miles a = = = = = = = = a = = = = = = 0 Pearson Euation Lt 0. Copying permitte for purhasing institution only. This material is not opyright free.

9 KS Maths Progress Delta = = a 0 00 a 0 a a m a m Pearson Euation Lt 0. Copying permitte for purhasing institution only. This material is not opyright free.

10 KS Maths Progress Delta Unit Answers Exerise. a a a a hours hours hours hours a... a 0 e 0 Pearson Euation Lt 0. Copying permitte for purhasing institution only. This material is not opyright free.

11 KS Maths Progress Delta f a 0 0 e f g a hours 0 minutes.0 pm 0 a e m a Pearson Euation Lt 0. Copying permitte for purhasing institution only. This material is not opyright free.

12 KS Maths Progress Delta e a m Pearson Euation Lt 0. Copying permitte for purhasing institution only. This material is not opyright free.

13 KS Maths Progress Delta Unit Answers Chek up Equivalene 0 a a 0 Fration 0 Deimal Perentage % 0% 0% 0% 0% % 0% a 0.. Multiplying an iviing with frations a 0 kg 0 tonnes a 0 Pearson Euation Lt 0. Copying permitte for purhasing institution only. This material is not opyright free.

14 KS Maths Progress Delta a Working with mixe numers a 0 0 a hours hours Pearson Euation Lt 0. Copying permitte for purhasing institution only. This material is not opyright free.

15 KS Maths Progress Delta Unit Answers Strengthen Equivalene a e a a i ii a = 0. = % = 0. = 0%, = 0. = 0%, = 0. = 0% 0 = 0. = 0%, 0 = 0. = 0%, 0 = 0. = 0%, 0 = 0. = 0%, 0 = 0. = 0%, = 0. = 0%, = 0. = 0%, = 0. = 0% Fration 0 Deimal..... Perentage % 0% 0% 0% 0% a 0. Pearson Euation Lt 0. Copying permitte for purhasing institution only. This material is not opyright free.

16 KS Maths Progress Delta.. 0. Multiplying an iviing with frations a kg km a 0 a kg km m a km Diviing y is the same as multiplying y a 0 Diviing y is the same as multiplying y a 0 a 0 Pearson Euation Lt 0. Copying permitte for purhasing institution only. This material is not opyright free.

17 KS Maths Progress Delta a Working with mixe numers a 0 e f a e f a 0 a = = = Pearson Euation Lt 0. Copying permitte for purhasing institution only. This material is not opyright free.

18 KS Maths Progress Delta 0 a i 0 minutes = hour = hour 0 ii minutes = hour = hour 0 iii minutes = hour = hour 0 iv minutes = 0 hour = hour v minutes = 0 hour = hour vi 0 minutes = 0 0 hour = hour i hours ii hours a hours hours hours a 0 a Enrihment a + 0 Pearson Euation Lt 0. Copying permitte for purhasing institution only. This material is not opyright free.

19 KS Maths Progress Delta + = 0 0 = 0 0 Pearson Euation Lt 0. Copying permitte for purhasing institution only. This material is not opyright free.

20 KS Maths Progress Delta Unit Answers Exten is the o one out eause in all the other frations, one they are simplifie, the enominator is one more than the numerator 0 =, =, =, =, =, = 0 a 00 g a Nitrogen tonnes, Phosphorus tonnes a Any one of: = 0 = 0 0 = 0 = = 0 = 0 = 0 = = 0 = = 0 0 = 0 = 0 = 0 0 = 0 0 = 0 Pearson Euation Lt 0. Copying permitte for purhasing institution only. This material is not opyright free.

21 KS Maths Progress Delta i 0 = 0 ii 0 = 0 a Yes. As long as oth numers are positive, whether you re aing two integers, frations or eimals, the answer will always e igger than the iniviual numers you are aing. No. The answer will e smaller than the first fration, ut may not e smaller than the seon. For example, - =. is smaller than, ut is not smaller than a She ivie y rather than y 0. 0 a 0 a a 0 a ,, = 0 /,, = /,, = /,, = / 0,, = a a 0 miles Pearson Euation Lt 0. Copying permitte for purhasing institution only. This material is not opyright free.

22 KS Maths Progress Delta miles 00 miles 0 miles a i ii iii They are the same. Multiply them. i ii iii 0 Multiply them. Yes Stuents own answers, e.g. 0 = 0 0 Yes. When you multiply a numer y you get the same numer. When you multiply a numer y a fration less than, you will get a fration of the numer you starte with, so the answer must e less than the numer you starte with. 0 No. 0 = Pearson Euation Lt 0. Copying permitte for purhasing institution only. This material is not opyright free.

23 KS Maths Progress Delta Unit Answers Unit test,,,, of kg, of 00 kg, of kg litres a 0 a 0 Fration 0 0 Deimal Perentage 0% 0% % 0% % 0% 0% 0. a Pearson Euation Lt 0. Copying permitte for purhasing institution only. This material is not opyright free.

24 KS Maths Progress Delta a a hours hours hours minutes 0 a 0 Pearson Euation Lt 0. Copying permitte for purhasing institution only. This material is not opyright free.

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

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 Camridge Essentials Mathematis Extension 8 N. Answers N. Answers a 6 d 8 e f 9 g 9 h a + = = = + = 0 9 = 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 8 8 0 6 y 6 9 0

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