answers to LEVEL Intermediate 1 homework

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1 answers to LEVEL Intermediate homework TJ INT Homework Answers page 0

2 INT Homework Chapter page Exercise.. a 60 b 230 c a 00 b 000 c Exercise.2. a 300 b 6500 c a 00 b 000 c a 500 b 500 Exercise.3. a 000 b 7000 c a b 000 c Rome 000, Calcutta 5000, San Francisco 5000, Sydney a 50 b 500 c Exercise.4. a 2400 b c a 600 b c d 4 e 5 f 3. a b Exercise.5. a 6 9 b 70 5 c a 9 6 b 99 6 c Exercise.6. a 4 63 b 6 49 c a 3 78 b 0 84 c cm Revision Exercise. a 0 b 280 c a 00 b 300 c a 5000 b c a b c a 0 b c a 3 6 b 9 63 c 0 00 Chapter 2 - page 4 Exercise 2.. a c e 2. a 29 00, 0 29 b 83 00, , 0 7 d 7 00, , 0 0 f , b 3 25 c Biology : 65%, Chemistry : 70% (Chemistry best) 4. 0% Exercise 2.2. a 9 b 28p c 3 litres d e 45 kg f boys Exercise 2.3. a 6 50 b 2 80 c 40 d 72p e 6 f $ Exercise Exercise 2.5. a 24 b a 2 50 b Revision Exercise 2. 25% Chapter 3 - page 7 Exercise 3.. a 7p b 60p c miles 3. a m/hr b 50 m/sec Exercise 3.2. a 35p b a 90 km b 270 km 3. a 3 b 50 g c p Revision Exercise 3. a 9p b 05 c a 4 50 b a 3 50 b 6 25 c 05 m a 2 min b 8 min c min TJ INT Homework Answers page

3 Chapter 4 - page 9 Exercise 4.. a A b B 2. a PR b OP, OQ, OR 3. a 4 cm b 50 m c 9 mm 4. a 5 cm b 6 5 m c 2 8 mm Exercise 4.2. a 62 8 cm b cm c 3 04 cm cm cm cm 5. a 88 4 cm b cm m Revision Exercise 4. a cm b 34 cm c 22 8 cm 2. a 2 cm b 4 75 cm c 0 5 cm cm cm mm = 62 8 cm cm Chapter 5 - page c cm2 d cm2 Exercise 5.7 (Extension) m cm2 Revision Exercise 5. a 24 m2 b 36 cm2 c 3 5 mm2 d 54 cm2 e cm2 f 2 56 m2 2. a 76 cm2 b m2 c m2 Chapter 6 - page 5 Exercise 6.. a 6 cm3 b 9 cm3 c 3 cm3 d 8 cm3 e 2 cm3 f 72 cm3 Exercise 6.2. a 60 cm3 b 300 cm3 c 000 cm3 2. a 78 cm3 b 480 cm3 Exercise 6.3. a 00 ml b ml c 300 ml 2. a 2 litres b 0 litres c 0 3 litres 3. 4 minutes Exercise cm cm cm cm cm cm2 Exercise cm2 2. a 40 cm2 b 26 cm2 c 49 cm m2 Exercise 5.3. a 2 cm2 b 6 cm2 2. a 48 cm2 b 32 m2 c 6 km m2 Exercise 5.4 (Extension). a 30 cm2 b 6 cm2 c 55 cm2 d 59 5 cm2 e 26 cm2 Exercise cm2 2. a 78 5 cm2 b 2 56 cm2 c cm2 3. a 9 8 cm2 b 78 5 cm2 c 4 9 cm2 Exercise 5.6. a 64 cm2 b 40 cm2 c 04 cm2 2. a 36 cm2 b cm2 TJ INT Homework Answers page 2 Revision Exercise 6. a 5 cm3 b 6 cm3 c 800 cm cm3 3. a ml b 240 Chapter 7 - page 7 Exercise 7.. a b 60 c 36 d 75 e 4 f a b c 0 d 4 5 e 8 f Exercise 7.2. a 24 mph b 5 mph c 80 mph 2. a cm2 b 7 5 cm2 3. a 68 b 22 c a 8 50 b 6 60 c Exercise 7.3. a 4 6 b 05 c 5 d km/hr 3. a 3 b c cm2 Revision Exercise 7. a b 8 c 6 d 65 e 8 f C 4.30 cm

4 Chapter 8 - page 9 Exercise a 342 b 40 Exercise 8.2. a 22 b Accept. ( 25 more) Exercise a 4 b Exercise a 7 hrs b a 368 b 55 c 92 d 55 Exercise 8.5. a 456 b 506 c a 36 b 360 c a 340 b a 90 b a b 9000 c 950 Exercise 8.6. a b a 2 b c a b 348 c d a b 779 c Kean by Exercise Exercise 8.8. a 40 b 480 c 225 d 640 e 92 f a 60% b 90 c 9 Exercise 8.9. a b 6 40 c 70 d Exercise 8.0. a 58 b 55 c a 50 b 330 c Revision Exercise 8. a 32 b a 0 b a 3000 b a 357 b c 68 d a 536 b 2696 c 6 7. a 62 b 432 c 44 d a b a 40% b 408 c a 79 b Yes, he gets more for his s NAB - page 27 Outcome a 38 miles (3) b 26 Outcome m2 5. a 8000 cm3 b 240 m cm m2 Outcome Outcome Chapter 9 - page 29 Exercise 9.. a A(2, 4), B( 4, 3), C(3, ), D(, 2), E(0, 2), F(2, 3), G( 3, 0). b Check diagram 2. a S(2, ) b U(2, 2), V(2, 0) Exercise 9.2 (Ext.). a A (3, 2), B ( 3, 4), C ( 4, 3) 2. a Check diagram b M ( 3, ), N ( 2, 3), P (3, 3), Q (4, ) 3. K (, 2), L (4, 3), M (3, 0) Exercise 9.3. a 3 C b 28 C 2. a 8 C b 7 C 3. a 60 b a b c TJ INT Homework Answers page 3

5 Exercise 9.4. a 6 C b 2 C c 29 C 2. a 6 C up b 6 C down c 9 C up d 34 C down 3. a 27 C b 43 C c 7 C Exercise 9.5. a b c 5 d 2 e 3 f 6 g 8 h 2 i 8 j 4 k 7 l 79 m 0 n o 290 p 4 q r 52 Exercise 9.6. a 6 b 2. a 7 b 2 c 24 d e 3 f g h i a 0 9 b Exercise 9.7.a 3 b 5 c 64 d 8 e f 28 g 8 h 8 i 9 j 0 k 3 l 04 m 30 n 6 o 36 Exercise 9.8.a 6 b 5 c 8 d 9 e 42 f 8 g 3 h 3 i 5 j 690 k 5 l 9 Exercise 9.9 (Ext.). a t b 9y c 5k d 2u e 0g f 0 g 4p h 0b2 i p3 j 4 k 4 l 2 Revision Exercise 9. a A(, ), B( 2, 4), C(4, 0), D( 2, 3), E(0, 5), F(2, 2), G(, 0) b c Check diagram 2. a 70 b 7 C c (i) 0 (ii) 3 (iii) 0 3. a 5 b 3 c 6 4. a b 0 c 5. a 24 b 6 c 7 Extension :- 6. a A (4, 2), B ( 3, ), C (5, 0) b A ( 4, 2), B (3, ). C ( 5, 0) 7. a k b 5y c 0t2 d 2.40 am e 0.5 pm and a.40pm, 2.5 am b 35 mins Exercise 0.2. a 00 b 555 c 8.5 pm d 2.35 am 2. a hr 35 mins b hr 25 mins c 5 hrs 5 mins d 3 hrs 30 mins 3. hr 40 mins 4. 4 hrs 5 mins hrs 5 mins Exercise 0.3. a 25 mph b 240 mph c 6 mph d 0 mph mph 3. a 5 hrs b 0 km/hr Exercise 0.4. a 6 miles b 44 miles c 300 km d 2 km e 300 miles f 50 miles miles miles km 5. 9 km Exercise 0.5. a 6 5 hrs b 25 hrs c 3 75 hrs d 0 75 hrs 2. a 4 hrs b 0 hrs c 8 hrs d 4 hrs 3. a 2 5 hrs b 9.5 pm 4. a 5 5 hrs b 45 mins Exercise 0.6. a mph b 840 km c 5 hrs hrs 3. a 2400 m/hr b 40 m/min 4. 7 km Exercise 0.7. a 5 hrs b 40 km/hr c km/hr d Outward : town, Inward : motorway Revision Exercise miles 2. No. (60 mph) 3. 4 hrs 30 mins am km Chapter 0 - page 33 Exercise 0.. a 0930 b 545 c d 00 e a 6.50 am b.25 pm c 7.53 pm Chapter - page 37 Exercise.. a 9 b 25 c a 36 b 00 c a 8 cm2 b 00 m2 c mm2 TJ INT Homework Answers page 4

6 Exercise.2. a 4 b 7 2. a 5 b 0 c 9 d 8 e f 3 3. a 4 47 b 0 49 c 7 32 d 3 6 e 8 94 f cm 5. a 8 cm2 b 6 cm2 c 65 cm2 Exercise.3. a 9, 6, 25 b 25 Exercise.4. 0 cm 2. a 3 cm b 4 34 cm c 7 46 cm d 7 28 m e 7 65 m f m Exercise m m km m 5. a km b m Exercise.6. 8 cm 2. a 3 23 m b 9 64 cm c cm 3. a 87 m b 87 cm mm Exercise.7. a 4 34 mm b cm c 8 25 cm d 9 7 cm e cm f 7 75 cm km 3. cm cm b Thursday c Heating off d (i) Sunday (ii) Office closed 3. Check diagram Exercise 2.2. a b 5% c 7 3 d e 2 ladies, 39 gents 2. a 24 b 96 c a 9% b A : withered, B : broken stems C : no posts D : bugs c 500 d 40 e 90 Exercise 2.3. a 300 b 700 c 60 d a (i) 30 (ii) 225 b 45 Exercise 2.4. a (i) 6 (ii) 5 b 2 c 46 d 46 e f no one in their s 2. a various e.g 2 4 means 24 b 7 c key 4 5 means a (i) 27 (ii) (iii) 59 (iv) 52 b (i) 22 (ii) 7 (iii) (iv) 8 c (i) 47 (ii) 5. men women Revision Exercise. a 9 b 64 c d 7 e 6 f 2. a 6 b 0 0 c 0 d 5 5 e 0 5 f a 7 94 cm b 7 2 cm c 5 6 cm cm m cm Chapter 2 - page 43 Exercise 2.. a (i) 0 (ii) 5 b 85 c Wed (no patients) d 0 e before/after weekend 2. a (i) 55 F (ii) 45 C TJ INT Homework Answers page 5 Exercise 2.5. a 8 b 5 c 7 d a Frequencies: Craig 8, David 3, Jack 0, Jamie 5, Ben 2 b Jack c 3 d 28 e check graph Exercise 2.6. a (i) Abe (ii) Ann (iii) Jill/Sid (iv) Sid b Abe 5 kg, 2, Ann 0 kg, 4, Ben kg, 6, Bob 27 kg, 7, Mo 22 kg, 8, Pat kg, 0, Jill 30 kg, 0, Sid 30 kg,. c Pat 2. Check diagram Exercise 2.7. a Yes b Yes c No d Yes e No 2. a Check diagram b (i) approx (ii) 3 to 3 5 years Revision Exercise 2. a (i) 2 (ii) 44 (iii) 9 (iv) 29

7 b c a (i) 99 F (ii) 02 F b 5 F c (i) 00 F (ii) 0 F (iii) 00 F 3. a 280 b 80 c 0 d 240 e key 2 means 2 5. a b Check diagram c 2 6. a b Check diagram c approx Chapter 3 - page 5 Exercise 3.. a 9 b 52 c a 3 b 23 c 5 3. a 9 b 3 c a 9 b 3 c 4 5. range 27, mean 4, median 3 5, mode 6. a mean 54, median 53, mode 52 b Yes. (mean is 54) Exercise 3.2. a 0, 6, 22, 2, 6 (total 65) b 2 2 c 2 d 2 2. a (i) 6, 30, 08, 84, 80. Mean 2 7. (ii) 0, 36, 28, 0, 24. Mean 3 6. (iii) 2, 36, 2, 48,0,2. Mean 6 b Range Mode Median (i) (ii) (iii) Exercise 3.3. a 73 b Mean 3, Median 5, Mode 2 c Median d Mean too high, mode too low. 2. a Mean 2 7, Median 2 4, Mode 3 b Median. Mean too high, mode too low Exercise 3.4. Impossible 2. Unlikely 3. Evens 4. Likely 5. Certain 6. Impossible Exercise 3.5. a 2. a 3. a 4 6, 4 b 2 6, 3 4 c 0 8 b 4 8, 2 c b 2 6, 3 4 c Revision Exercise 3 6. a 0 b 7 c 7 d kg 3. a 6, 2, 36,, 2. Totals 25 & 95. b 4 c median 4, mode 4 d a d b 9 c 5, 4 e 0 f NAB 2 - page 54 Outcome 0, 2 8, 2 5. a A(2, 3), B( 3, 0) b check diagram 2. a 5 b 4 c 4 Outcome 2 3. a km b 30 mins c steeper gradient miles hrs Outcome km Outcome 4 7. a min 8 cm, max 45 cm b key 3 4 means 34 cm c mainly increases between 0 and cm a 2 ones, 2 two s, 6 three s, 6 four s, 2 fives, 2 sixes. b Not good. all should be equal, but mainly 3 s and 4 s 0. a b check diagram c approx Outcome 5. a 49 b 48 5 c 53 d Chapter 4 - page 57 Exercise 4.. a 37 b 34 c 8 d 4 e 6 5 f 22 g 400 h 2 i 77 j k 6 l Exercise 4.2. a 4x + b 3x 27 c 8 8x d 2x + 2y e 5x 5y f y x g 6x + 3 h 2x + 28 i 0x 5 j 9 8x k 30 40x l 6x + 9y m 24y 8x n 35p + 28q o 36k 8mp p 00ab + 40c q 2a 0 r 3a 2 s 24a 4 t a u 2v + 2 v 5v + 5 w 7v + 4u x 60v + 6w 2. a 2a + 4b + 2c b 3a + 2b + 5c TJ INT Homework Answers page 6

8 c 4a 4b + 24c d 5a 0b + 5c e 50a 40b 30c f a b g 6ab + 6bc 6cd h 9abc + 9d 36 i 2a 2b 2c j 6a 5b 2c k 2a + 8b c l a + 5b + 30c Exercise 4.3. a 2x + 7 b 3p + 4 c 2d + d 8n + 6 e 8x + 5 f 0x + 27 g 5t + 7 h 4p + 40 i 4x + 7 j 4w 5 k 4x + 2 l 0k 0 m 2x 6y n 6p 8q o 2p a 6x + 2 b 9a + 24 c 9m + 7 d p + 2 e 3x + 7 f 3x + 7 g 28m + 8 h 3 + 2g i 6d + 6 j 6v + 8w k 2x 6 l 4 2x Exercise 4.4. a 3(x + 4) b 6(x + 4) c 8(x + 5) d 2(x 5) e 3(x 5) f 6(x 5) g 9(x + 8) h 8(x 7) i 5(x + 9) j 7(x + 2y) k 4(a + 3b) l 5(p + 4q) m 2(v 9w) n 0(m 9n) o (0k h) 2. a 2(2x + 5) b 4(2x + 5) c 3(3x + 5) d 2(2x 7) e 5(2x 5) f 5(3x 7) g 9(3x + 2) h 4(5x + 6) i 7(3x + 5) j 3(2p + 3q) k 0(2p + 3q) l 6(2x + 3) m 2(3a 7b) n 5(7a 3b) o 7(2a 5b) 3. a 5(a + b + c) b 2(a + 2b + 6c) c 5(5a + 3b 9c) d 7(2a 3b 8c) e p(r q m) f a(b v ) Exercise Exercise 4.6. a F b F c T d T e T f T g T h F i F 2. a < b > c < d < e > f > g < h > i > 3. a x > 8 b x < 0 c x > 3 d x 5 e x < 4 f x < 5 g x 7 h x > 5 i x < 0 Revision Exercise. a 50 b c 32 d 3 2. a 3c + 8 b a 33d c vw 8v d x 2 x e 5n 5m f 2b 8 g 6c + 6y h 4a + 6b 0c i 2k 6gy 0h 3. a 4x + 9 b 9x + 3 c 0x + 2 d x + 24 e 9x + 0y f 4x + 6 g x + 5 h 8x + 4 i 2x a 2(x 9) b 4(5x + ) c 4(2x 5) d 3(3x + 0) e 2(2x + 3y) f 5(2x 9w) g 0 8(v + w) h 0(4p + 5q 6r) i 4(2x 3y 4z) j a(b + c) k m( n) l 2q(p 2a) 5. a 6 b c 2 d 23 e 7 f 5 5 g 8 h 7 i j 5 k l a x > 3 b x < 5 c x 0 d x 8 e x 4 f x 9 g x < h x > 8 5 i x > 7 j x 0 k x 2 5 l x < 0 5 Chapter 5 - page 6 Exercise 5.. a 0, 2, 4, 6 b (0,0), (,2), (2,4), (3,6) c see line through these points 2. a 0, 4, 8, 2, (0,0), (,4), (2,8), (3,2), see line b 0, 7, 4, 2, (0,0), (,7), (2,4), (3,2), see line c 0, 5, 3, 4 5, (0,0), (, 5), (2,3), (3,4 5), see line 3. a 6, 3, 0, 3b see line through these points Exercise 5.2. a, 4, 7, 0 b (0,), (,4), (2,7), (3,0) c see line through these points 2. a 5, 7, 9,, (0,5), (,7), (2,9), (3,), see line b 3, 4, 5, 6, (0,3), (,4), (2,5), (3,6), see line c, 2, 5, 8, (0, ), (,2), (2,5), (3,8), see line Exercise 5.3. a x = 5 b y = 2 c x = 2 2. see lines 3. x = 4 (or x = 2) Revision Exercise 5. a (0,0), (,4), (2,8), (3,2) see line 2. a (, ), (0,2), (,5), (2,8), see line b ( 2,6), (,5), (0,4), (,3), see line c ( 2, 6), (, 5), (0, 4), (, 3), see line d ( 4,3), ( 2,3), (0,5), (2,6), see line 3. a see diagram b A - x = 2, B - x = 3, C - y = 3 c see lines d see line Chapter 6 - page 63 Exercise 6.. see sketches 2. a 0 84 b 0 98 c a 4 cm b cm c 0 36 d same Exercise cm 2. a 9 2 cm b 2 9 cm c cm m m Exercise 6.3. a 54 b 24 c a 45 b 48 8 c Exercise 6.4 TJ INT Homework Answers page 7

9 . a 0 7 b 0 87 c a 25 b 7 c a 6 8 cm b 6 3 cm c 26 7 cm m m 6. a 30 b 6 c Exercise 6.5. a 0 98 b 0 87 c a 38 b 78 c a 2 0 cm b 22 7cm c 6 6 cm 4. a 60 b 4 4 c m Exercise 6.6. a 3 2 cm b 4 cm c 9 3 cm d 9 9 e 26 6 f m Revision Exercise 6. a 0 93 b 0 87 c a 60 b 57 c a 26 cm b 49 9 c 60 d 4 8 cm e 53 3 f 5 2 cm m m Chapter 7 - page 70 Exercise 7.. a 3 4 x 0 4 b 6 8 x 0 3 c 4 x a 6 7 x 0 4 b 72 x 0 8 c 2 x 0 d 3 x 0 6 e 4 7 x 0 6 f x x x 0 7 Exercise 7.4. a 5 x 0 5 b 9 9 x 0 5 c 3 52 x 0 6 d 4 x 0 4 e 2 5 x 0 f 9 x x 0 2 Revision Exercise 7. a 4 5 x 0 5 b 8 x 0 7 c 23 x 0 3 d 4 x 0 4 e 6 x 0 7 f 5 02 x a b c 4 d 0 60 e f x a 0 0 mm b x 0 2 mm NAB 3 page 72 Outcome a 3g 6 b 7y (k + 7) 4. a x = 3 b p = 3 5. a h > 2 b d < 4 Outcome 2 6. a (0, ), (, 2), (2, 5), (3, 8) b see line through these 4 points y = 3x Outcome m Outcome 4 9. a b a 24 x 0 8 b 2 3 x x 0 4 Exercise 7.2. a 3000 b c 0000 d 4543 e f g 50 h 0 i miles Exercise 7.3. a 7 x 0 3 b 2 x 0 c 5 4 x 0 7 d 3 x 0 6 e 23 x 0 9 f 8 x a b c 0 5 d e f a b 4 ml TJ INT Homework Answers page 8