EXERCISE 1A

1.     

2.     

3.     

4.      (i)   46   (ii)   41   (iii)   208

5.      (i)   3   (ii)   5   (iii)   8

6.      8

7.      5

8.      12

9.      2

10.  €2,315.25

11. 

12. 

13.  3

14.  1

 

EXERCISE 1B

1.     

2.     

3.     

4.     

5.     

6.     

7.     

8.     

9.     

10. 

11. 

12. 

13. 

14. 

15. 

16. 

 

EXERCISE 1C

1.      (i) 7   (ii) 12        (iii) 18

2.      (i) 4   (ii) 26        (iii) 10       (iv) 126

3.      (i) 6   (ii) 1          (iii) -4

4.      (i) 8   (ii) 15        (iii) 44

5.      (i) 25 (ii) 83        (iii) 49

6.      (i) 16 (ii) 20        (iii) 48

7.      (i) 24 (ii) 64        (iii) 25

8.      (i) 2   (ii) -4       

9.      (i) -1  (ii) -4       

10.  (i) 2   (ii) 1         

11.  -3

12. 

13.  9

14.  7

15.  -1

16. 

17.  19

18.  -1

19.  -3

20.  30

21.  2

 

EXERCISE 1D

1.     

2.     

3.     

4.      Ann is 7, Bill is 13.

5.      Carl is 26, Dorothy is 6.

6.      16, 17 and 18.

7.      28, 29 and 30.

8.      43, 44, 45 and 46.

9.      68, 69, 70, 71 and 72.

10.  The youngest child is 13.

11. 

12. 
Ann gets €285, Barry gets €255.

13.  Emma is 20.

14. 
Tom catches up 2 hours after Dan has started.

15.  Amy gets €35, Brian gets €45 and Chris gets €90.

 

EXERCISE 1E

1.     

2.     

3.     

4.     

5.     

6.     

7.     

8.      (i) has solution x = 1                (ii) 7

9.      (i)  has solution x = 5         (ii) 2

10.  (i) (ii) 1

11.  (i) 5   (ii) 5

12. 

 

EXERCISE 1F

  1. x = 4, y = 2
  2. x = 3, y = 5
  3. x = , y = 0
  4. x = 3, y = 3
  5. x = 6, y = 4
  6. x = 2, y = 3
  7. x = 3, y = 4
  8. x = 2, y = -1
  9. x = 5, y = -4
  10. x = -3, y = 2
  11. x = 2, y = 4
  12. x = 1, y = 3
  13. x = 5, y = 6
  14. x = 1, y = -2
  15. x = 0, y = 3

 

EXERCISE 1G

  1. x = 2, y = 3
  2. x = 4, y = 6
  3. x = 2, y = 4
  4. x = 1, y = -2
  5. x = 3, y = 1
  6. x = -6, y = 5
  7. x = -1, y = 9
  8. x = 2, y = 1
  9. x = 5, y = -1
  10. x = -4, y = 5
  11. x = 1, y = -4
  12. x = 1, y = -4
  13. x = 15, y = 12

 

EXERCISE 1H

    8. €130
    9. 23
    10. 36
    11. The length is 18 m and the breadth is 12 m.

 

CHAPTER TEST 1

  6. (i) 6               (ii) 19       (iii) 13
  8. 3
  9. The man is aged 42, the son 14.
  10. 12 pages
  11. (i) x =6, y = -5               (ii) x = 2, y = -1         (iii) x = 4, y = 3
  12. 24

 

EXERCISE 2A

  1. e.g. N
  2. e.g.
  3. e.g. N, Z, Q, Z\N, Q\Z, R\Q etc.
  6. (i) 0.6            (ii) 0.55    
    (iii) 0.1234567                (iv) 4.76
  7. (i) 0.142857  (ii) 0.285714             
    (iii) 0.428571 (iv) 0.571428
    (v) 0.714285 (vi) 0.714285
  8. (i) 0.6775      (ii) 0.03     (iii) 0.421875            
  9. (i) 17,300      (ii) 930      (iii) 20      
    (iv) 532,100   (v) 2,600
  10. (i) 3,000        (ii) 2,100   (iii) 1,560 
    (iv) 780          (v) 7,000
  11. (i) 1,600        (ii) 925,400                (iii) 200    
    (iv) 1,920       (v) 4,783,000
  12. (i) 4.5            (ii) 2.5       (iii) 7.5
  13. (i) 2.09          (ii) 4.5       (iii) 6

 

EXERCISE 2B

 

EXERCISE 2C

3.      (i) 81             (ii) 81        (iii) 2         (iv) 2       
(v) 3              (vi) 3         (vii) 10      (viii) 10
(ix) 125          (x) 125

4.      (i) 0.5            (ii) 0.5       (iii) 0.04    (iv) 0.04   
(v) 0.125       (vi) 0.125  (vii) 0.5     (viii) 0.5
(ix) 0.0625     (x) 0.0625

5.     

6.     

7.     

8.     

9.     

10.  n = 2

11. 

12. 

13. 

14. 

15. 

16.  (a) = (iii), (b) = (ii), (c) = (v), (d) = (i), (e) = (iv)

 

EXERCISE 2D

  7. 9.8

 

CHAPTER TEST 2

  1. e.g.
  3. (i)  0.85         (ii) 0.2125
    (iii) 2.046875 (iv) 0.321
  4. (i) 7100         (ii) 4,260
  5. 5,

 

EXERCISE 3A

    1. (i) x = 60            (ii) y = 20  (iii) z = 30
    2. (i) x = 127, y = 53               (ii) w = 72, z = 36
      (iii) p = 30, q = 110             (iv)       r = 15
    4. (i) x = 40            (ii) y = 18  (iii) z = 15
    5. (i) x = 36, y = 36                 (ii) w = 38, z = 84

 

EXERCISE 3B

2.      (i) x = 30, y = 90                 (ii) w = 140, z = 20
(iii) p = 65, q = 65               (iv) r = 60, s = 120

9.      x = 40, y = 100

11. 

13.  x = 70

 

EXERCISE 3C

7.      (i) h = 8 cm        (ii) l = 24 cm

8.      21 cm2

9.      16 cm

10.  (i) 18 cm2           (ii) 8 cm

 

CHAPTER TEST 3

1.      (i) x = 36            (ii) y = 18

2.      (i) x = 22.5, y = 135            (ii) w = 5, z = 45

3.      48˚:60˚:72˚

6.     

 

EXERCISE 4A

1.      (i) 7(x+2)           (ii) 6(a-3)  (iii) 4(y+4)

2.      (i) 3(x+3)           (ii) 10(a-7)                 (iii) 9(y+5)

3.      (i) 5x(2x-3y)      (ii) 4a(2a+5b)            (iii) 3x(2x-3b)

4.      (i) 3c(5b-1)        (ii) 4a(3a+1)              (iii) 2x(2x-1)

5.      (i) (3x+z)(x+2)   (ii) (a+4)(5b+c)

6.      (i) (q-2)(p+3)     (ii) (3c+d)(4a+2) = 2(3c+d)(2a+1)

7.      (i) (2c+d)(3a-5b)                (ii) (3z+4)(7x-2y)

8.      (i) (4c+1)(10a-3b)              (ii) (4z-5)(3x-y)

9.      (i) (n-5)(a+b)     (ii) (2ab-3)(2a+b)

10.  (i) (x+2y)(x-y)(x+y)            (ii) (3a-4b)(2a+c)

11.  (i) (xy-z)(2x-3)   (ii) (3a+b)(3a+4c)

12.  (i) (3a-2)(4ab+3c)              (ii) (x-b)(x+a)

 

EXERCISE 4B

1.                (i) (a-b)(a+b)            (ii) (c-d)(c+d)            (iii) (y-z)(y+z)

  1. (i) (a-3)(a+3) (ii) (b-6)(b+6)            (iii) (y-10)(y+10)
  2. (i) (a-2)(a+2) (ii) (b-7)(b+7)            (iii) (y-8)(y+8)
  3. (i) (a-30)(a+30)             (ii) (b-20)(b+20)        (iii) (y-15)(y+15)
  4. (i) (a-17)(a+17)             (ii) (b-22)(b+22)        (iii) (y-35)(y+35)
  5. (i) (a-16)(a+16)             (ii) (b-41)(b+41)        (iii) (y-19)(y+19)
  6. (i) (a-1)(a+1) (ii) (b-1)(b+1)            (iii) (y-1)(y+1)
  7. (i) (a-15b)(a+15b)         (ii) (b-24c)(b+24c)    (iii) (y-14z)(y+14z)
  8. (i) (a-9b)( a+9b)            (ii) (b-12c)(b+12c)    (iii) (y-13z)(y+13z)
  9. (i) (2a-11b)(2a+11b)     (ii) (5b-19)(5b+19)    (iii) (7y-26)(7y+26)
  10. (i) (8a-30)(8a+30)         (ii) (4b-33)(4b+33)    (iii) (9y-40)(9y+40)
  11. (i) (6a-21)(6a+21)         (ii) (27b-15)(27b+15)                 (iii) (3y-11)(3y+11)
  12. (i) 800  (ii) 160               (iii) 140
  13. (i) 260  (ii) 800               (iii) 80
  14. (i) 320  (ii) 4,000            (iii) 80
  15. (i) 4      (ii) 1
  16. (i) 12    (ii) 18
  17. (i) 33    (ii) 5
  18. (i) 3(a-3)(a+3)               (ii) 2(x-5y)(x+5y)      (iii) 3(10a-1)(10a+1)
  19. (i) 2(x-2)(x+2)               (ii) 2(x-7)(x+7)          (iii) 5(x-2y)(x+2y)
  20. (i) 2(a-4b)(a+4b)           (ii) 3(x-5y)(x+5y)      (iii) 2(2p-1)(2p+1)
  21. (i) 2(5a-1)(5a+1)           (ii) 3(2a-1)(2a+1)      (iii) 6(10a-1)(10a+1)
  22. (i) 7(x-3)(x+3)               (ii) 5(5a-1)(5a+1)      (iii) 3(3a-2)(3a+2)
  23. (3x-y)(3x+y)
  24. (2a-b)(2a+b)
  25. (x-5y)(x+5y)

 

EXERCISE 4C

  1. (i) (2x+4)(x+1)               (ii) (3y+5)(y+1)          (iii) (2x+1)(x+2)
  2. (i) (2x+5)(x+1)               (ii) (3x+3)(x+1)         (iii) (2x+1)(x+1)
  3. (i) (2a-5)(a-2)                (ii) (3x-2)(x-1)           (iii) (2x-7)(x-1)
  4. (i) (2x-2)(x-4)                (ii) (3x-3)(x-2)           (iii) (2p-4)(p-3)
  5. (i) (4x+1)(x+2)               (ii) (6x-1)(x-1)           (iii) (8x+2)(x+1)
  6. (i) (4a-1)(2a-1)              (ii) (3x+4)(x+1)         (iii) (2y-3)(y-5)
  7. (i) (3x-10)(x+1)             (ii) (2x+2)(2x+2)       (iii) (3x-2)(x-3)
  8. (i) (5x+5)(x-4)               (ii) (6x+3)(x-1)          (iii) (7x+1)(x+1)
  9. (i) (2x-2)(x+2)               (ii) (3x-2)(x+8)          (iii) (3x+5)(x-1)
  10. (i) (5a-2)(a-5)                (ii) (2b-10)(b+1)        (iii) (2c-2)(c-3)
  11. (i) (x-25)(x-1)                (ii) (x+12)(x-1)          (iii) (4x+5)(x-2)
  12. (i) (5x+2)(x-2)               (ii) (3x+4)(x-2)          (iii) (5x+2)(x-3)
  13. (i) (x-2)(x+14)               (ii) (y-4)(y-1)             (iii) (z+25)(z-2)
  14. (i) (2x+2)(x+1)               (ii) (2x-5)(2x+3)        (iii) (x-20)(x-1)
  15. (i) (x-5)(x-4)                  (ii) (x+4)(x-3)            (iii) (5x+1)(2x-1)
  16. (i) (3x-4)(x+2)               (ii) (y+5)(y+5)            (iii) (z+3)(z-2)
  17. (i) (x+9)(x+1)                 (ii) (3p+2)(p-12)        (iii) (q+5)(q+2)
  18. (i) (5a+1)(a-2)               (ii) (7b-2)(b+1)          (iii) (3x-1)(8x+3)

 

EXERCISE 4D

  1. (i) 7x2            (ii) -6a      (iii) -3y2     (iv) b
  2. (i) 10x2          (ii) -3a      (iii) -8y2     (iv) 3b
  3. (i) x               (ii) 2a2       (iii) -5y2     (iv) 2b4
  4. (i) x               (ii) 2a2       (iii) -6y3     (iv) 3b2
  5. (i) x2              (ii) -3a      (iii) -11y    (iv) 2b
  6. (i) 4a2+5a+3                  (ii) 2x2+3x+4
  7. (i) 3b2-8                         (ii) 4x3-3x2+2x-6
  8. (i) 2x2-x         (ii) 3x2+x-3
  9. (i) x+4           (ii) x+5
  10. (i) x+2           (ii) 3x+2
  11. (i) 4x+3         (ii) 2x+1
  12. (i) x+5           (ii) a-3

EXERCISE 4E

  1. x2+3x-2
  2. x2+5x-3
  3. 5x2+2x-3
  4. 2x2-3x+4
  5. 3x2+6x+2
  6. 4x2-3x+5
  7. 3x2+x+4
  8. 5x2+2x+2
  9. 4x2+3x+7
  10. 2x2-3x-7
  11. x2-5x+6
  12. 2x2-x+6
  13. 2x2-x
  14. x2+2x
  15. x2+x-3
  16. x2+2x-5
  17. 4x2+4x+1
  18. x2-6x+9
  19. 2x2-x+3
  20. 3x2+x+4
  21. x2-x-1
  22. 3x2+2x+1
  23. 2x2-3x+5
  24. x2+x-12

 

EXERCISE 4F

 

EXERCISE 4G

 

EXERCISE 4H

 

CHAPTER TEST 4

  1. (i) 4(2x+5)     (ii) 3a(3a-4)               (ii) 5p(5p+2q)
  2. (i) (x+y)(a+6)                 (ii) (r-2s)(4p+3q)       (iii) (5x-2y)(3z-4w)
  3. (i) (x-2y)(x+2y)              (ii) (3a-6)(3a+6) or 9(a-2)(a+2)
    (iii) 2(b-2)(b+2)
  4. (i) 5200         (ii) 3
  5. (5a-4b)(5a+4b)
  6. (i) (3x+4)(x+2)               (ii) (4y-1)(y-5)           (ii) (2a-3)(a+3)
  7. (i) x+5           (ii) 10x2+5x-3

 

EXERCISE 5A

  1. (i) €0.36        (ii)  €4.80  (iii) €0.20
  2. 28
  3. 23.04            
  4. 85.5%          
  5. 96%             
  6. 20%             
  7. 86%             
  8.  €520            
  9.  €13,600       
  10. 12.50%        
  11. 15%             
  12. 60%             
  13.  €25.25         
  14.  €15,600       
  15. 75%             
  16.  €899            
  17.  €24.00         
  18.  €4,530.50    
  19.  €270            
  20. 8%               
  21.  €15,000       
  22. $864.80         $622.66
  23.  €6,372          $6720.05

 

EXERCISE 5B

  1. (i) 57:76:95    (ii) 108:135:162         (iii) 3:18   
    (iv) 39:104     (v) 111:185:259
  2.  €80
  3.  €176
  4.  €684
  5.  €754
  6.  €15:€20.
  7. 10:6
  8. 70 m
  9. 3:2
  10. 5:4
  11. 4:6
  12. 10:35
  13. 77
  14. 168
  15. 216
  16. (i) 12             (ii) 4.5       (iii)1.5
    (iv) 4              (v) 12        (vi) 7

 

EXERCISE 5C

  1. €3.80
  2. 240 km
  3. 76.2 cm
  4. 122 m
  5. 15 cm
  6. 285 km
  7. 27 minutes
  8. 60 hours
  9. 5 hrs 12 mins
  10. 25 sheep
  11. 5 days
  12. (i) 5 m/s         (ii) 125 m/s               
    (iii) 40 m/s      (iv) 3.75 m/s
  13. (i) 126 km/hr (ii) 900 km/hr            
    (iii) 261 km/hr                 (iv) 18 km/hr

 

EXERCISE 5D

  1. 2.5 hrs or 2 hrs 30 mins
  2. 7.5 m/s
  3. 72 km/hr
  4. 42 km/hr
  5. 6.25 m/s
  6. 9.14 a.m.
  7. 135.3 km
  8. 0.032 seconds
  9. (i) 8760 or 8766 hours (taking 1 year to be 365 days or 365.25 days)
    (ii)171,233 km/hr or     171,116 km/hr
  10. 124 km
  11. 10 seconds
  12. 2.22 km/hr

 

EXERCISE 5E

  1. (i) €1,349.84                  (ii) €149.84
  2. (i)  €983.45                    (ii)  €83.45
  3. (i)  €2,153.78                 (ii) €153.78
  4. (i)  €1,663.08                 (ii) €163.08
  5.  (i) €4,049.51                 (ii) €449.51
  6. €4,058.08
  7.  €1,853.67
  8.  €4,514.06
  9. (i) €2,080.00                  (ii) 4%
  10. (i) €618.00    (ii) 3%
  11. (i) €997.50    (ii) 5%
  12. (i) 4%            €800.00
  13. (i) 3%            €600.00
  14.  (i) €4,600.00                 (ii) 19.05% (to two decimal places)
  15.  €11.00         
  16.  (i) €48,400.00               (ii) 6.75%
  17. (i) €22,950.00                (ii) 3%
  18. €2,597.00
  19.  €5,873.92

 

EXERCISE 5F

  1. €900.00
  2.  €15,997.54
  3.  €3,059.52
  4.  €33,647.90
  5.  €8,104.00
  6.  €6,359.72
  7.  €1,460.00
  8. (i) €15,213.00                (ii) €266.21
  9. 19%
  10. 24%
  11.  €1,875.00
  12.  €33,284.00
  13.  €1,816.20
  14.  €19,026.38

 

CHAPTER TEST 5

  1. €1.50
  2.  €1,250.00
  3. 125%
  4. 189                216           324
  5. €119.00
  6. 22.5 and 37.5
  7. 3
  8.  €542.50
  9. 15 days
  10. (i) 17.5 m/s    (ii) 9km/hr
  11. 2.4 m/s
  12.  (i) €2,625.00                 (ii) €2,500.00
  13.  (i) €3,540.00                 (ii) 12%
  14.  €2,375.40
  15. 21

 

EXERCISE 6A

1.      (i) A = {11, 13, 17, 19}      (ii) B = {m, a, t, h, e, i, c, s}
(iii) C = {1, 2, 3, 4, 6, 12}   (iv) D = {3, 6, 9, 12, 15, 18}

2.     

3.     

4.     

5.     

8.      50

9.      3

10.  3

11.  (i) 7   (ii) 9

12.  (i) 12 (ii) 12

13.  7

14.  13

15.  (ii) 3   (iii) 9

16.  (ii) 2   (iii) 3

17. 

 

EXERCISE 6B

1.      (i) 7+5+4+3 = 19                (ii) 4+3+2+6 = 15
(iii) 5+3+2+4 = 14              (iv) 7+6+4 = 17
(v) 4+5+2 = 11  (vi) 3

5.      (i) {6, 12)           (ii) {8, 9, 10}            
(iii) {1, 3, 5, 7, 9, 11}          (iv) {1, 2, 4}

6.      (i) {b, c, d, f, g, h, e, a}      (ii) {a, b, f, g, h}
(iii) {f, g, j}                         (iv) {c, d, e}

7.     

8.      (i) {1, 4, 3, 6}    (ii) {6}      (iii) {4, 5, 6}

 

EXERCISE 6C

1.      (i) 20                  (ii) 65        (iii) 80

2.      (i) 3  (ii) 5          (iii) 1

3.      (i) 3  (ii) 13

4.      (i) 68                  (ii) 6

5.      (i) 12                  (ii) 7          (iii) 4

6.      4

7.      2 play all three. 8 play exactly two.

8.      (i) 4  (ii) 37

 

CHAPTER TEST 6

1.      (ii) {c, a, g, e, f, d}              (iii) {c, a, e}
(iv) {g, f, d}}     (v) {b, h}

3.     

4.      3 like both, 12 like neither.

5.      2

 

EXERCISE 7A

  1. (i) 5               (ii) 9          (iii) 4         (iv) €4       (v) 1          (vi) 0
  3. 28
  4. (ii) 2.5            (ii) 2.5       (iii) 3.5      (iv) 3.5      (v) 5.5       (vi) 5.5
  5. mean =50.5   sum =5050
  1. (i) 5.80,         7,              6
    (ii) 10,            11,            11
    (iii) 4.5,          7,              4
    (iv) 6,             5 and 9,    5
    (v) 1.2,          1.3,           1.3
  2. 4
  3. 6
  4. €4.50
  5. 0.043
  6. 855
  7.  
  8. 8
  9. 16
  10. 15
  11. 13
  12. 5
  13. 10
  14. 8
  15. 8
  16. 5
  17. 8
  18. 7

 

EXERCISE 7B

  1. 6,  4,              6
  2. (i) 3,              3
    (ii) 12,            10
    (iii) 5,             7
    (iv) 32,           40
    (v) 9.5,          8
  3. Given

Number

1

2

3

4

5

Frequency

4

x

5

6

3

then x = 4

  1. 5
  2. 2
  3. 5
  4. 7
  5. 3

 

EXERCISE 7C

  1. (i) 24             (ii) 2
  2. (i) 80             (ii) 30

 

EXERCISE 7D

    1. (i) 10-20             (ii) €33.05
    2. (i) 40-60             (ii) 50
    3. (i) 20-30             (ii) €31.25
    4. (ii) 30-50            (iii) 45       (iv) 14
    5. (i) 60-100           (ii) 51 minutes
    6. (i) 30-40             (ii) 70        (iii) 44       (v) 18
    7. (ii) 49.6              (iii) 54
    8. (i) 10-15             (ii) 10
    9. 17
    10. 5
    11. 2, 5, 3, 3
    12. 8, 12, 4
    13. 4.5, 12, 3, 13.5
    14. 30, 50, 60
    15. 8, 9, 20, 10, 3
    16. 4, 18, 20, 6

 

EXERCISE 7E

  1. (i) 26, 59, 71, 81, 90
  2. (i) 4, 10, 16, 24, 40
  3. (i) 17, 32, 46, 50
  1. (iii) 3, 39, 4
  2. (ii) €10.67      (iii) 18, 40, 68, 88, 90
  3. (ii) €21.50      (iii) 22, 73, 88, 100

 

CHAPTER TEST 7

  2. €12.07
  3. 7 years 3 months
  4. 2
  5. 5
  6. 30, 21, 22
  7. 30                 
  8. (i)  48             (ii)14
  9. (i) 80-100      (ii) €72.40
  10. 8, 9, 5, 10, 4
  11. 6, 24, 44, 70, 88, 100

 

EXERCISE 8A

1.     

2.     

3.     

4.     

5.     

6.     

7.     

8.     

9.     

10. 

11. 

12. 

 

EXERCISE 8B

 

EXERCISE 8C

  1. -0.4, -1.4
  2. -0.3, -1.7
  3. -0.54, -2.46
  4. -0.4, -3.6
  5. 1.58, 0.42
  6. 1.8, 0.4
  7. 2.9, -0.4
  8. 0.65, -0.22
  9. 1.2, -5.2
  10. 0.7, -2.2
  11. 0.6, -1.4
  12. 0.8, -0.6
  13. -0.28, -2.39
  14. -1.4, 3.4
  15. -0.8, 1.3
  16. 0.18, -1.43
  17. 0.6, -1.6
  18. -0.4, -0.8
  19. 0.8, -2.0
  20. 0.19, -2.69
  21. 0.7, -0.2
  22. -0.4, -1.8
  23. -0.26, -2.74
  24. -0.6, -2.0

 

EXERCISE 8D

  1. , 0.4, -2.4
  2. , 0.2, -4.2
  3. , 4.65, -0.65
  4. , 4.45, -0.45
  6. , 2.73, -0.73
  8. , 2.74, -1.74
  9. (i) 2.4, -0.9    (ii) -0.6, -3.9
  10. 1.22, -0.55, 1.1, 0.2
  11. 2.4, -0.4, 7.4, 4.6
  12. -0.9, -4.4, -1.9, -5.4
  13. -4.2, 1.2, -2.6, 0.1

 

EXERCISE 8E

 

EXERCISE 8F

  1. -4, 8
  2. -3, 6
  3. -2, 4
  4. , -2, 1
  5. , -4, 6
  6. , -3, 6

 

EXERCISE 8G

 

EXERCISE 8H

  1. {0, 1, 2, 3, 4, 5}
  2. {0, 1, 2, 3, 4}
  3. {0, 1, 2, 3, 4, 5, 6}
  4. {0, 1, 2, 3}
  5. {0, 1, 2, 3, 4, 5, 6}

 

CHAPTER TEST 8

 

EXERCISE 9A

  1. (i) 50º            (ii) 35º       (iii) 130º
    (iv) 90º          (v) 240º
  2. (i) 65             (ii) 16        (iii) 23       (iv) 16
  3. (i) x = 60       (ii) p = 20, q = 40, r = 120
    (iii) y = 48
  4. (i) x = 36       (ii) y =17   (iii) z = 76
  6. (i) 97º            (ii) 62º       (iii) 118º
  1. 63º
  1. 40

 

EXERCISE 9B

  1. (i) x = 40       (ii) y = 45  (iii) z = 10
  2. (i) x = 105     (ii) y = 20, z = 10       (iii) w = 43
  3. (i) 112º          (ii) 28º
  1. 120º
  1. (i) 30º            (ii) 52º       (iii) 77º

 

EXERCISE 9C

  1. (i) x = 55       (ii) y = 9    (iii) z =51
  2. 70º
  1. 60º
  2. 52º
  1. (i) 42º            (ii) 96º       (iii) 48º      (iv) 70º

 

EXERCISE 9D

  1. (i) x = 6         (ii) y = 12  (iii) z =3
  2. (i) x = 6         (ii) y = 9    (iii) z = 12
  3. (i) 10             (ii) 6
  4. (i) 27             (ii) 16
  5. (i) 24             (ii) 33
  6. 1.9
  7. 14.4
  8. (i) 9               (ii) 3
  9. 16
  10. (i) 11.5          (ii) 11
  11. (i) 12             (ii) 16
  12. (i) 48             (ii) |qx| = 10
  13. No
  1. 8.75

 

EXERCISE 9E

  1. (i) 13             (ii) 17        (iii) 10       (iv) 29
    (v) 7              (vi) 24       (vii) 33      (v) 65
  5. 24 cm
  6. 16 cm
  7. 29
  8. 14
  9. 112
  10. 31.3

 

CHAPTER TEST 9

  1. 67º
  2. (i) x = 40, y = 26, z = 132               (ii) p = 90, q = 10
    (iii) r = 160, s = 100, t = 80
  1. (i) 4.5
  1. (i) 4

 

EXERCISE 10A

  1. (i) P = 720, A = 35,000
    (ii) P = 288, A = 2409.75
    (iii) P = 216, A = 1764
  2. (i) 2058         (ii) 525
  3. (i) A = , P = 27.4
    (ii) A = , P = 110.8
    (iii) A = , P = 48.8
  4. (i) 72             (ii) 220.5   (iii) 15
  5. 56
  6. (i) 25             (ii) 12
  8. 7000
  9. 16
  10. (i) 10             (ii) 20        (iii) 1.5
  12. 693
  13. 346.5
  14. (i) 7               (ii) 21
  15. (ii) 21            

 

EXERCISE 10B

  1. (i) A = 348 cm2, V = 360 cm3
    (ii) A = 124 cm2, V = 90 cm3
    (iii) A = 284 cm2, V = 210 cm3
  2. (i) A = 54, V = 27
    (ii) A = 96 ,V = 64
    (iii) A = 150, V = 125 cm3
  3.  (i) CSA = 528 cm2, TSA = 1760 cm2, V = 3696 cm3
    (ii) CSA = 314 cm2, TSA = 471 cm2, V = 785 cm3
  4. (i) A = 1386, V = 4851 cm3
    (ii) A = 2826, V = 14,130 cm3
  5. 16 cm2
  6. 10 cm
  7. (i) 198 cm3     (ii) 504 cm3
  8. (i) 1760 cm2   (ii) 70.4 cm
  9. (i) 9261 cm3   (ii) 4851 cm3
  11. (i) 600 litres   (ii) 160 cm
  12. (i) 19.25 m2   (ii) 16 m
  13. (i)  cm3               (ii) 30 cm
  14. 10 cm
  15. 1.5 m

 

EXERCISE 10C

    1. (i) 1100 cm3       (ii) 1386 cm3              (iii) 88 cm3
    2. (i) 87.92 cm2      (ii) 282.6 cm2             (iii) 62.8 cm2
    3. (i) 2.5 cm            (ii) 10 cm 
      (iii) 16.5 cm        (iv) 48.5 cm
    4. 21 cm
    5. 12.5 cm
    6. 10 cm
    7. 7 cm
    8. 24 cm
    9. (i) 58 cm             (ii) 40 cm
    10. (i) 24 cm             (ii) 1232 cm3
    11. (i) 20.5 cm          (ii) 1287.4 cm2
    12. (i) 14 cm             (ii) 9856 cm3
    13. (i) 6.5 cm            (ii) 70.69 cm2
    14. 288 cm3
    15. 1:8

 

EXERCISE 10D

  1. (i)  cm3   (ii) 3 cm
  2. (ii) 3072 cm3                  
  3. (i) 180 cm3 (ii) 144 cm3            (iii) 55.6%
  4. (i) 160 cm3 (ii)  cm
  5. 126 cm3,