answers to
LEVEL
“Intermediate 1”
homework
TJ INT 1 Homework Answers
page 0
INT 1 Homework
Chapter 1
Exercise 2.2
1. a £9
d £350·40
2 . 48 boys
3 . £2385
4. 63
page 1
Exercise 1.1
1.
2.
3.
4.
a 60
a 100
230
2160
b 230
b 1000
c 3460
c 9990
c 3 litres
f £7·35
b £2·80
e £6
c £1·40
f £1·80
Exercise 2.3
1 . a £6·50
d 72p
2. 7
3 . $765
4. 65
Exercise 1.2
1.
2.
3.
4.
b 28p
e 45 kg
a 300
a 100
1200
a 1500
b 6500
b 1000
c 8800
c 1900
b 1500
Exercise 2.4
Exercise 1.3
1 . a 1000
2 . a 18 000
3 . Rome 1000,
San Francisco
4 . a 11 510
b 7000
c 9000
b 1000
c 10 000
Calcutta 5000,
5000, Sydney 11 000
b 11 500
c 12 000
Exercise 1.4
1 . a 2400
2 . a 600
d 4
3 . a 150 000
b
b
e
b
12 000
40 000
5
20
c 40
c 2 700 000
f 20
£3910
£19 080
£282
£22·56
Exercise 2.5
1.
2.
3.
4.
a £24
a £112·50
£204
£1125
b £504
b £56·25
Revision Exercise 2
Exercise 1.5
1 . a 16·9
2 . a 9·6
3 . 4·7
1.
2.
3.
4.
b 70·5
b 99·6
c 2·0
c 180·2
b 16·49
b 10·84
c 2·86
c 11·20
1.
2.
3.
4.
5.
25%
55
£162 000
£28·20
£22·50
Exercise 1.6
1 . a 4·63
2 . a 3·78
3 . 4·82 cm
a
a
a
a
a
a
110
100
5000
69 790
1200
13·6
Chapter 2
b
b
b
b
b
b
280
300
87 000
69 800
160 000
19·63
c
c
c
c
c
c
9760
9800
135 000
70 000
100
10·00
c £50
b 50 m/sec
Exercise 3.2
1.
2.
3.
4.
5.
a 35p
a 90 km
a £3
£412·50
48p
b £1·40
b 270 km
b 150 g
c £5·53
Revision Exercise 3
1. a
29
100
, 0·29
b
83
100
, 0·83
c
17
100
, 0·17
d
7
100
, 0·07
e
1
100
f
215
1000
c
2
25
2. a
1. a 7p
b 60p
2 . 620 miles
3 . a 180 000m/hr
- page 4
Exercise 2.1
3
5
- page 7
Exercise 3.1
Revision Exercise 1
1.
2.
3.
4.
5.
6.
Chapter 3
, 0·01
b
13
25
, 0·215
3 . Biology : 65%, Chemistry : 70% (Chemistry best)
4 . 10%
TJ INT 1 Homework Answers
1.
2.
3.
4.
5.
6.
7.
8.
page 1
a 9p
£22·50
a £4·50
a £13·50
£2·40
a 2 min
4
£180
b £1·05
c £16
b £31·50
b £6·25
c 105 m
b 8 min
c 20 min
c 189·25 cm2 d
Chapter 4
Exercise 5.7 (Extension)
Exercise 4.1
1.
2.
3.
4.
a
a
a
a
A
PR
14 cm
5 cm
b
b
b
b
B
OP, OQ, OR
50 m
c 19 mm
6·5 m
c 2·8 mm
Exercise 4.2
1.
2.
3.
4.
5.
6.
a 62·8 cm
37·68 cm
34·54 cm
128·5 cm
a 188·4 cm
17·71 m
b 28·26 cm c 113·04 cm
b 308·4 cm
a 20 cm
b 34 cm
a 2 cm
b 4·75 cm
43·96 cm
53·38 cm
628 mm = 62·8 cm
28·56 cm
Chapter 5
Revision Exercise 5
1 . a 24 m2
d 54 cm2
2 . a 76 cm2
b 36 cm2
c 3·5 mm2
e 28·26 cm2 f 12·56 m2
b 47·23 m2 c 100·26 m2
- page 15
Exercise 6.1
1 . a 6 cm3
d 18 cm3
c 22·8 cm
c 0·5 cm
b 9 cm3
e 12 cm3
c 13 cm3
f 72 cm3
b 300 cm3
b 480 cm3
c 1000 cm3
Exercise 6.2
1 . a 60 cm3
2 . a 78 cm3
Exercise 6.3
1 . a 2000 ml
2 . a 2 litres
3 . 4 minutes
- page 11
Exercise 5.1
1.
2.
3.
4.
5.
6.
1 . 21·65 m2
2 . 21·5 cm2
Chapter 6
Revision Exercise 4
1.
2.
3.
4.
5.
6.
84·56 cm2
- page 9
b 10 000 ml c 300 ml
b 10 litres c 0·3 litres
Revision Exercise 6
7 cm2
8 cm2
7 cm2
10 cm2
5·5 cm2
4·5 cm2
1 . a 5 cm3
b 16 cm3
2 . 2100 cm3
3 . a 60 000 ml b 240
Chapter 7
Exercise 5.2
1 . 16 cm2
2 . a 40 cm2
3 . 9 m2
b 26 cm2
c 49 cm2
b 6 cm2
b 32 m2
c 6 km2
Exercise 5.4 (Extension)
1 . a 30 cm2
d 59·5 cm2
- page 17
Exercise 7.1
Exercise 5.3
1 . a 12 cm2
2 . a 48 cm2
3 . 750 m2
c 1800 cm3
b 16 cm2
e 26 cm2
c 55 cm2
1. a 11
d 75
2. a 11
d 4·5
3 . £1·41
b
e
b
e
60
14
1
18
c
f
c
f
36
50
0
100
b
b
b
b
15 mph
7·5 cm2
£122
£6·60
c 80 mph
Exercise 7.2
1.
2.
3.
4.
a
a
a
a
24 mph
20 cm2
£68
£18·50
c £284
c £284·50
Exercise 7.3
Exercise 5.5
1 . 113·04 cm2
2 . a 78·5 cm2
3 . a 9·81 cm2
b 12·56 cm2 c 153·86 cm2
b 78·5 cm2 c 4·91 cm2
1.
2.
3.
4.
a 4·6
350 km/hr
a –3
1256 cm2
b 105
c 5
b –1
c –4
Revision Exercise 7
Exercise
5.6
1 . a 64 cm2
2 . a 36 cm2
b 40 cm2
b 210 cm2
c 104 cm2
TJ INT 1 Homework Answers
1. a 1
d 65
2. 13
3 . 40°C
4.30 cm
page 2
b 8
e 8
c 16
f 5
d 35
Chapter 8
1.
2.
3.
4.
- page 19
a 58€
a £50
£31
£297
b 551€
b £330
c 13 862€
c £1200
Exercise 8.1
1.
2.
3.
4.
£451·80
£13·80
£11 700
a £342
Revision Exercise 8
1 . a £132
2 . £49 680
3. a £0
4 . a £3000
5 . a £357
6 . a £536
7 . a £1612
8 . a £58·08
9 . a 40%
10. £255
11. a £79
b £11·40
Exercise 8.2
1.
2.
3.
4.
a £1122
b £18 722
£33·40
£38 950
Accept. (£25 more)
b £5·50
b
b
b
b
b
b
b
£175
£25 000
£76·50
£2696
£432
£75·71
£408
c £68
c £16
c £2044
d £501·50
d £170·33
c £34
b Yes, he gets more € for his £’s
Exercise 8.3
1.
2.
3.
4.
£34
£3125
a £420
£330
NAB 1
Outcome 1
b £1960
1 . £2·19
2 . £61·25
3 . a 318 miles
Exercise 8.4
1.
2.
3.
4.
£105
£144
a 7 hrs
a £368
a
a
a
a
a
£456
36
£340
£1190
£28 000
b £189
b £55·20
c £92
d £515·20
b
b
b
b
b
£506
£1360
£60
£148·75
£9000
c £26
c £435
a
a
a
a
£412·50
£220
£577·50
£1701·50
b 126
4.
5.
6.
7.
180 m2
a 8000 cm3
37·68 cm
1962·50 m2
b 240 m2
Outcome 3
8. 28
9 . £139·20
10. 320
c 950
Outcome 4
Exercise 8.6
1.
2.
3.
4.
(320)
Outcome 2
Exercise 8.5
1.
2.
3.
4.
5.
- page 27
b
b
b
b
£465
£542·50
£348
£1779
c £322·50
c £925·50
d £77·13
c Kean by £77·50
11. £98·64
12. £226·50
13. 803€
Chapter 9
- page 29
Exercise 8.7
1.
2.
3.
4.
5.
Exercise 9.1
£291
£153
£619·20
£125·95
£688·50
1 . a A(2, 4), B(–4, 3), C(3, –1), D(–1, –2),
E(0, 2), F(2, –3), G(–3, 0).
b Check diagram
2 . a S(2, –1)
b U(2, 2), V(2, 0)
Exercise 9.2
Exercise 8.8
1 . a £140
d £640
2 . a 60%
b £480
e £192
b £190
c £225
f £3000
c £19
b £16·40
c £170
1 . a A’(3, 2), B’(–3, –4), C’(–4, 3)
2 . a Check diagram
b M’(–3, 1), N’(–2, –3), P’(3, 3), Q’(4, –1)
3 . K’(–1, 2), L’(4, 3), M’(3, 0)
Exercise 9.3
Exercise 8.9
1 . a £24·50
2 . £115·50
Exercise 8.10
TJ INT 1 Homework Answers
(Ext.)
d £67·50
1.
2.
3.
4.
page 3
a
a
a
a
–3°C
8°C
–£60
1
b
b
b
b
–28°C
7°C
–£1900
1
c 1
Exercise 9.4
1 . a –6°C
2 . a 6°C up
3 . a –27°C
b 2°C
c –29°C
b 6°C down c 9°C up
b –43°C
c –71°C
d 34°C down
d 2.40 am
e 10.15 pm
3 . 0955 and 1438
4 . a 11.40pm, 12.15 am
b 35 mins
Exercise 10.2
Exercise 9.5
1. a
e
i
m
q
1
3
–18
–10
–1
b
f
j
n
r
1
–6
–4
–11
–52
c
g
k
o
5
–8
–17
–290
d
h
l
p
2
–21
–79
–4
Exercise 9.6
1. a 6
2. a 7
e –3
i –100
3 . a 0·9
b –1
b 12
f 1
1 . a 2000
b 1555
2 . a 1 hr 35 mins
c 5 hrs 15 mins
3 . 1 hr 40 mins
4 . 4 hrs 15 mins
5 . 8.20
6 . 30 hrs 15 mins
c 8.15 pm
d 12.35 am
b 1 hr 25 mins
d 3 hrs 30 mins
Exercise 10.3
c 24
g 11
d –1
h 111
1 . a 25 mph
2 . 50 mph
3 . a 1·5 hrs
b 240 mph
c 6 mph
d 10 mph
b 200 km/hr
b 1·1
Exercise 10.4
Exercise 9.7
1. a
e
i
m
–3
–20
–9
–30
b
f
j
n
–15
–28
–10
–6
c
g
k
o
–64
–8
–31
–36
d –18
h –8
l –104
Exercise 9.8
1. a 6
e 42
i 5
b 15
f 81
j 690
c 8
g 3
k 5
d 9
h 3
l 9
c 15k
g –4p
k –4
d 21u
h –10b 2
l 2
Exercise 9.9 (Ext.)
1 . a 11t
e –10g
i –p 3
b 9y
f 0
j 4
Revision Exercise 9
1 . a A(1, 1), B(–2, 4), C(4, 0), D(–2, –3),
E(0, 5), F(2, –2), G(–1, 0)
b c Check diagram
2 . a –£70
b 7°C
c (i) 0
(ii) –3
(iii) 0
3. a –5
b 3
c –16
4. a 11
b 0
c 1
5 . a –24
b 16
c –7
Extension :6 . a A’(4, –2), B’(–3, 1), C’(5, 0)
b A’(–4, 2), B’(3, –1). C’(–5, 0)
7 . a –11k
b 15y
c –10t 2
Chapter 10
- page 33
b 1545
e 2357
b 1.25 pm
c 2020
c 7.53 pm
TJ INT 1 Homework Answers
b 44 miles c 300 km
e 300 miles f 50 miles
Exercise 10.5
1.
2.
3.
4.
a
a
a
a
6·5 hrs
4 hrs
2·5 hrs
5·5 hrs
b
b
b
b
1·25 hrs
10 hrs
9.15 pm
45 mins
c 3·75 hrs
c 8 hrs
d 0·75 hrs
d 4 hrs
Exercise 10.6
1.
2.
3.
4.
a 20 mph
b 840 km
c 1·5 hrs
6·5 hrs
a 2400 m/hr b 40 m/min
7 km
Exercise 10.7
1 . a 1·5 hrs
b 40 km/hr
c 120 km/hr d Outward : town, Inward : motorway
Revision Exercise 10
1.
2.
3.
4.
5.
50 miles
No. (60 mph)
4 hrs 30 mins
10.50 am
250 km
Chapter 11
Exercise 10.1
1 . a 0930
d 1100
2 . a 6.50 am
1 . a 6 miles
d 2 km
2 . 325miles
3 . 30 miles
4 . 30 km
5 . 9 km
- page 37
Exercise 11.1
1. a 9
2. a 36
3 . a 81 cm2
page 4
b 25
b 100
b 100 m2
c 49
c 400
c 1 mm2
b Thursday c Heating off
d (i) Sunday (ii) Office closed
3 . Check diagram
Exercise 11.2
1. a 4
2. a 5
d 8
3 . a 4·47
d 3·61
4 . 8 cm
5 . a 81 cm2
b
b
e
b
e
7
10
1
10·49
8·94
b 16 cm2
c
f
c
f
9
13
17·32
35·13
c 65 cm2
Exercise 11.3
1 . a 9, 16, 25
b 25
Exercise 11.4
1 . 10 cm
2 . a 13 cm
d 7·28 m
1. a
1
20
b 5%
d
13
20
e 21 ladies, 39 gents
2. a 24
b
3 . a 9%
b A : withered,
C : no posts
c 500
d
b 41·34 cm c 17·46 cm
e 117·65 m f 90·79 m
1 . a 300
2 . a (i) 30
3.
b 9·64 cm
b 1187 cm
c 33·94 cm
Exercise 11.7
1 . a 41·34 mm b 37·08 cm c 8·25 cm
d 9·17 cm
e 23·26 cm f 7·75 cm
2 . 40 km
3 . 20 cm
4 . 8·66 cm
Revision Exercise 11
1. a 9
d 7
2 . a 11·6
d 5·5
3 . a 7·94 cm
4 . 3·87 cm
5 . 6325 m
6. 5·57 cm
Chapter 12
b
e
b
e
b
64
6
0·0
10·5
17·2 cm
c
f
c
f
c
1
1
1·0
93·0
51·61 cm
(i) 10
85
10
(i) 55°F
B : broken stems
D : bugs
140
e 90
b 700
(ii) 225
c 160°
b 45
d 800
b
0
1
2
3
4
5
17
4
02
06
02
57
1
c 31
2 37 8
8
6 9
7 77 8
key 4 5 means 45
4 . a (i) 27
b (i) 22
c (i) 47
5.
men
754 3 1
8 7 4
0
2
1
2
3
4
5
(ii) 11
(ii) 17
(ii) 20
women
9
0 2
0 0 7
3 8
1 4
(iii) 59
(iii) 11
(iv) 52
(iv) 8
Exercise 12.5
1. a 8
b 15
c 17
d 26
2 . a Frequencies: Craig 8, David 3, Jack 10, Jamie 5, Ben 2
b Jack
c 3
d 28
e check graph
Exercise 12.6
- page 43
Exercise 12.1
1. a
b
d
2. a
c 36
1 . a (i) 6
(ii) 5
b 12
c 46
d 46
e 20
f no one in their 20’s
2. a various e.g 2 4 means 24
25 m
142 m
89·02 km
75 m
a 22·43 km b 22434 m
8 cm
a 13·23 m
a 11·87 m
45 mm
7
20
Exercise 12.4
Exercise 11.6
1.
2.
3.
4.
96
c
Exercise 12.3
Exercise 11.5
1.
2.
3.
4.
5.
Exercise 12.2
(ii) 15
c Wed (no patients)
e before/after weekend
(ii) 45°C
TJ INT 1 Homework Answers
1 . a (i) Abe
(ii) Ann
b Abe 15 kg, 2,
Ben 20 kg, 6,
Mo 22 kg, 8,
Jill 30 kg, 10,
c Pat
2 . Check diagram
Exercise 12.7
(iii) Jill/Sid
(iv) Sid
Ann 10 kg, 4,
Bob 27 kg, 7,
Pat 20 kg, 10,
Sid 30 kg, 11.
1. a
d
2. a
b
c No
Yes
b Yes
Yes
e No
Check diagram
(i) approx £75–£80
(ii) 3 to 3·5 years
Revision Exercise 12
1 . a (i) 12
page 5
(ii) 44
(iii) 19
(iv) 29
b
2. a
b
c
3. a
d
4. 0
1
2
3
4
5
20
(i) 99°F
1·5°F
(i) 100°F
280
240
267
278 99
124 45
489 9
224 55
038
c 128
(ii) 102°F
(ii) 101°F
b 80
e 200
(iii) 100°F
c 200
1. a 10
b 7
c 7
2 . 70 kg
3 . a 6, 21, 36, 20, 12. Totals 25 & 95.
b 4
c median 4, mode 4
4. a
1
20
d
5
20
b
,
1
4
9
20
e 0
c
10
20
,
1
2
f
8
20
,
2
5
d 8
d 3·8
6 8
NAB 2 - page 54
6
key 1 2 means 12
5 . a b Check diagram
6 . a b Check diagram
c 12
c approx 60–65
Outcome 1
1 . a A(2, –3), B(–3, 0)
2. a 5
b –4
b check diagram
c 14
Outcome 2
Chapter 13
- page 51
3 . a 120 km
4 . 60 miles
5 . 2·5 hrs
Exercise 13.1
1.
2.
3.
4.
5.
6.
a 19
b 52
c 45
a 3
b 23
c 5
a 9
b 13
c 3·5
a 9
b 13
c 4
range 27, mean 14, median 13·5, mode 20
a mean 54, median 53, mode 52
b Yes. (mean is 54)
Exercise 13.2
1 . a 0, 6, 22, 21, 16 (total 65)
b 2·2
c 2
d 2
2 . a (i) 16, 30, 108, 84, 80.
Mean 12·7.
(ii) 10, 36, 28, 10, 24.
Mean 3·6.
(iii) 2, 36, 12, 48,10,12. Mean 6
b
Range Mode Median
(i)
8
12
12
(ii) 4
3
3
(iii) 1 0
4
6
1. a
c
2. a
b
73
b Mean 13, Median 5, Mode 2
Median
d Mean too high, mode too low.
Mean 2·7, Median 2·4, Mode 1·3
Median. Mean too high, mode too low
, 41
7 . a min 8 cm, max 45 cm
b 0 89
1 123 57 7 89
2 24
3 4
4 155
key 3 4 means 34 cm
c mainly increases between 10 and 20 cm
8. 40
9 . 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
10. a b check diagram
c approx 20
Outcome 5
b 48·5
c 53
d 16
c 8
g 400
k 6
d 4
h 12
l 49
12. 41
Chapter 14
Exercise
Exercise 13.5
4
16
Outcome 4
1. a 37
e 6·5
i 77
2 . £45
Impossible
Unlikely
Evens
Likely
Certain
Impossible
1. a
6 . 13·89 km
- page 57
Exercise 14.1
Exercise 13.4
1.
2.
3.
4.
5.
6.
c steeper gradient
Outcome 3
11. a 4 9
Exercise 13.3
b 30 mins
b
12
16
2. a
1
8
b
4
8
3. a
3
16
b
12
16
,
3
4
1
2
,
,
3
4
c 0
c 0
c
1
16
Revision Exercise 13
TJ INT 1 Homework Answers
1. a
d
g
j
l
n
p
r
t
v
x
2. a
page 6
b 34
f 22
j 1
14.2
4x + 20
b 3x – 27
c 8 – 8x
2x + 2y
e 15x – 15y f 20y – 20x
6x + 3
h 21x + 28 i 10x – 5
9 – 18x
k 30 – 40x
6x + 9y
m 24y – 8x
35p + 28q
o 36k – 18m p
100ab + 40c
q –2a – 10
3a – 21
s –24a – 4
–16 + 24a
u –2v + 2
–5v + 15
w –7v + 14u
–60v + 6w
2a + 4b + 2c
b 3a + 12b + 15c
c
e
g
i
k
4a – 4b + 24c
50a – 40b – 30c
6ab + 6bc – 6cd
–2a – 2b – 2c
–12a + 8b – 20c
Exercise
1. a
e
i
m
2. a
e
i
1. a
d
g
j
m
2. a
d
g
j
m
3. a
d
1.
5.
9.
13.
17.
21.
25.
29.
33.
37.
Exercise
c
g
k
o
c
g
k
2d + 1
5t + 7
14x + 2
–2p + 17
9m + 7
28m + 8
2x – 6
d 8n + 6
h 4p + 40
l 10k – 10
d 11p + 2
h 31 + 2g
l 14 – 2x
m(1 – n)
6
7
1
x>3
x≤4
x>7
Chapter 15
Exercise
b
e
h
k
n
b
e
h
k
n
b
e
2.
6.
10.
14.
18.
22.
26.
30.
34.
38.
6(x + 4)
3(x – 5)
8(x – 7)
4(a + 3b)
10(m – 9n)
4(2x + 5)
5(2x – 5)
4(5x + 6)
10(2p + 3q)
5(7a – 3b)
2(a + 2b + 6c)
p(r – q – m)
c
f
i
l
o
c
f
i
l
o
c
f
8(x + 5)
6(x – 5)
5(x + 9)
5(p + 4q)
11(10k – h)
3(3x + 5)
5(3x – 7)
7(3x + 5)
6(2x + 3)
7(2a – 5b)
5(5a + 3b – 9c)
a(b – v – 1)
8
5
10
9
8
8
2
5·5
5
0
3.
7.
11.
15.
19.
23.
27.
31.
35.
39.
5
23
8
8
7
1
8
7
9
18
4.
8.
12.
16.
20.
24.
28.
32.
36.
14.6
b
e
h
b
e
h
b
e
h
F
T
F
>
>
>
x < 10
x<4
x>5
c
f
i
c
f
i
c
f
i
T
T
F
<
>
>
x>3
x<5
x<0
1. a
c
2. a
b
c
3. a
20
5·5
5
x < 15
x≥9
x ≥ 10
l
c
g
k
c
g
k
2q(p – 2a)
12
8
1
x≤0
x < 20
x ≤ 2·5
d
h
l
d
h
l
23
7
3·5
x ≥ 18
x > 8·5
x < 0·5
- page 61
0, 2, 4, 6 b (0,0), (1,2), (2,4), (3,6)
see line through these points
0, 4, 8, 12, (0,0), (1,4), (2,8), (3,12), see line
0, 7, 14, 21, (0,0), (1,7), (2,14), (3,21), see line
0, 1·5, 3, 4·5, (0,0), (1,1·5), (2,3), (3,4·5), see line
–6, –3, 0, 3 b see line through these points
Exercise
1. a
c
2. a
b
c
b
f
j
b
f
j
15.1
15.2
1, 4, 7, 10 b (0,1), (1,4), (2,7), (3,10)
see line through these points
5, 7, 9, 11, (0,5), (1,7), (2,9), (3,11), see line
3, 4, 5, 6, (0,3), (1,4), (2,5), (3,6), see line
–1, 2, 5, 8, (0,–1), (1,2), (2,5), (3,8), see line
15n – 5m
–6c + 6y
2k – 6gy –
4x + 9
x + 24
11x + 15
2(x – 9)
4(2x – 5)
b 1
Exercise
15.3
1. a x = 5
b y=2
2 . see lines
3 . x = 4 (or x = –2)
Revision
c x = –2
Exercise 15
1 . a (0,0), (1,4), (2,8), (3,12) see line
2 . a (–1,–1), (0,2), (1,5), (2,8), see line
b (–2,6), (–1,5), (0,4), (1,3), see line
c (–2,–6), (–1,–5), (0,–4), (1,–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
- page 63
Exercise 16.1
1 . see sketches
2 . a 0·84
3 . a 4 cm
b 0·98
b 11 cm
c 286·48
c 0·36
b 12·9 cm
4 . 7·44 m
c 11·1 cm
b 24°
c 3°
b 48·8°
c 67·4°
Exercise 16.2
c 32
b 11a – 33d
d x2 – x
d 3
f –2b – 8
h 4a + 6b – 10c
10h
b 9x + 3
e 9x + 10y
h 8x + 4
14
9
7
10
4·5
10
9
4
7
Chapter 16
Exercise
1. a 50
2 . a 3c + 18
c vw – 8v
e
g
i
3. a
d
g
4. a
c
3p + 14
10x + 27
14w – 5
6p – 8q
9a + 24
3x + 17
6v + 8w
k
5. a
e
i
6. a
e
i
f 5(2x – 9w)
h 10(4p + 5q – 6r)
j
a(b + c)
14.5
F
T
T
<
<
<
x>8
x≥5
x≤7
Revision
e 2(2x + 3y)
g 0·8(v + w)
i 4(2x – 3y – 4z)
14.4
7
7
4
3·5
9
6
2·5
0
0
18
1. a
d
g
2. a
d
g
3. a
d
g
b
f
j
n
b
f
j
3(x + 4)
2(x – 5)
9(x + 8)
7(x + 2y)
2(v – 9w)
2(2x + 5)
2(2x – 7)
9(3x + 2)
3(2p + 3q)
2(3a – 7b)
5(a + b + c)
7(2a – 3b – 8c)
Exercise
15a – 10b + 5c
20a – 20b – 20
9abc + 9d – 36
–6a – 15b – 21c
–20a + 15b + 30c
14.3
2x + 7
8x + 15
14x + 7
12x – 6y
6x + 12
3x + 17
16d + 6
Exercise
d
f
h
j
l
c
f
i
b
d
10x + 21
4x + 6
2x + 4
4(5x + 1)
3(3x + 10)
TJ INT 1 Homework Answers
1 . 6·7 cm
2 . a 9·2 cm
3 . 7·23 m
Exercise 16.3
1.
2.
3.
4.
5.
a 54°
50·2°
a 45°
34·7°
78·7°
Exercise 16.4
page 7
d same
1.
2
3.
4.
5.
6.
7.
8.
a 0·17
a 25°
a 6·8 cm
95·6 m
66·5 m
a 30°
35·7°
40°
b 0·87
b 7°
b 16·3 cm
c 0·99
c 66°
c 26·7 cm
b 61°
c 16·3°
a 0·98
a 38°
a 12·0 cm
a 60°
33·6°
2·9 m
17.4
1 . a 5·1 x 105
d 4 x 104
Exercise 16.5
1.
2.
3.
4.
5.
6.
Exercise
b
b
b
b
0·87
78°
22·7cm
41·4°
c
c
c
c
0·21
29°
6·6 cm
68·7 °
b 9·9 x 105 c 3·52 x 106
e 2·5 x 101 f
2 . 2·856 x
1012
Revision
Exercise 17
9 x 107
1 . a 4·5 x 105
b 8 x 107
c 1·23 x 103
d 4 x 1014
2 . a 3 2 000
d 0·601
e 6 x 107
b 710 000
e 0·000 0 9
f 5·02 x 106
c 420
f 0·000 001
3 . 1·48 x 103
4 . a 0·01 mm
b 1 x 10–2 mm
Exercise 16.6
1 . a 13·2 cm
d 19·9°
2 . 52·4°
3 . 5·6 m
4 . 21·8°
Revision
b 11·4 cm
e 26·6°
c 19·3 cm
f 41·4°
Exercise 16
1 . a 0·93
2 . a 60°
3 . a 26·1 cm
d 4·8 cm
4 . 1·77 m
5 . 8·7 m
6 . 43°
b
b
b
e
0·87
57°
49·9°
53·3°
c
c
c
f
0·12
33°
60°
5·2 cm
NAB 3
page 72
Outcome 1
1.
2.
3.
4.
5.
22
a 3g – 6
6(k + 7)
a x = 13
a h>2
b 7y + 12
b p=3
b d<4
Outcome 2
6 . a (0, –1), (1, 2), (2, 5), (3, 8)
b see line through these 4 points y = 3x – 1
Outcome 3
7 . 1·67 m
8 . 36·9°
Chapter 17
Exercise
17.1
1 . a 3·4 x
104
2 . a 6·7 x 104
d 3 x 106
- page 70
Outcome 4
105
9 . a 328 900
10. a 1·24 x 108
b 1·72 x 108 c 1·2 x 101
11. 1·0406 x 1014
b 6·8 x
103
c 1·4 x
e 4·7 x 106 f
1 x 108
3 . 2·5 x 106
4 . 2·05 x 107
Exercise
17.2
1 . a 13000
b 6810000 c 10000
d 4543
e 40230000 f
111·11
g 50·1
h 10
554·321
i
2 . 9 3 000 000 miles
3 . 5 3 000 000 000
Exercise
17.3
1 . a 7 x 10–3
d 3x
f
2. a
c
e
3. a
10–6
8 x 10–15
0·00021
0·5
0·09001
0·0014
b 1·2 x 10–1 c 5·4 x 10–7
e 1·23 x 10–9
b
d
f
b
0·0000871
0·0000006
0·06034
1·4 ml
TJ INT 1 Homework Answers
page 8
b 0·0012
b 2·3 x 10–5