latihan matematik t3 cg amin utk naimah (3)

7/30/2019 Latihan Matematik T3 Cg Amin Utk Naimah (3)

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UNIT 1: WHOLE NUMBERS

Find the value of each of the following

1. 10 + 3 4 =

2. 14 - 6 + 2 =

3. 2 5 + 8 =

4. -3 + 7 1 =

5. -2 5 +13 =

6. 15 3 + 8 =

7. 2 6 + 17 =

8. 8 3 + 4 =

9. 21 + 5 12=

10. 3 5 + 7 =

11. 3( 6 + 2 ) =

12. 4(7 3 ) =

13. (20 6) + 8 =

14. 30 2(4+5) =

15. 40 3(7-2) =

16. 2 ( 11 + 17) =

17. 3 ( 25 - 4) =

18. 3 (14 + 8 ) =

19. 58 3(10+2) =

20. 32 + 2 ( 11 + 17) =

21. 6 + 4 2 =

22. 4 + 6 3 =

23. 4 + 10 2=

24. 6 + 8 4 =

25. 7 + 10 5=

26. 10 4 2 =

27. 8 6 2 =

28. 15 12 4 =

29. 12 15 3 =

30. 9 8 4 =

1

Nama : . Form : . Date: .


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UNIT 3 : FRACTIONS (Equivalent Fractions)

Copy and complete each of the following pairs of equivalent fractions

1.3

4=

12

2.4

7 14=

3.15

18 6=

4.4

5 30=

5.42

48 8=

6.144

36 3

=

7.14

15 45=

8.2

5 15=

9.4

9 18=

10.9

27 9=

11.6 2

9 =

12.2 10

5=

13.3 6

4=

14.1 2

5=

15.15 30

20=

16.3 18

2

=

17.2 24

3=

18.1 3

3=

19.16 2

24=

20.20 5

36=

21.1

9 3=

22.3

12 6=

23.4

7 14=

24.9

50 25=

25.49

10 70=

26.10 20

40

=

27.16 2

8=

28.4 36

45=

29.12 2

3=

30.5 40

64=

4

Name :.. Form : Date : ..


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UNIT 4 : FRACTIONS (Improper Fractions)

Express the following mixed numbers as improper fractions

1. 12

3 =

2. 13

4=

3. 21

5=

2 23

=

31

3=

15

7=

33

5=

61

6=

72

5=

43

4=

52

5 =

21

8=

13

5=

26

7=

44

6=

101

3=

92

3=

45

6=

53

4=

83

5=

44

9 =

33

7=

121

3=

57

8=

14

5=

210

11=

81

2=

61

5=

35

6=

71

7=

5



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UNIT 5 : FRACTIONS (Lowest Common Multiples (LCM))

Find the LCM for the following pairs of numbers.

1. 2 and 4 24. 7 and 8

2. 2 and 8 25. 9 and 10

3. 2 and 12 26. 10 and 11

4. 3 and 6 27. 11 and 12

5. 3 and 12 28. 12 and 13

6. 3 and 18 29. 13 and 14

7. 4 and 8 30. 6 and 7

8. 4 and 16

9. 4 and 24

10. 5 and 10

11. 4 and 6

12. 8 and 12

13. 12 and 15

14. 15 and 20

15. 6 and 15

16. 10 and 15

17. 8 and 10

18. 6 and 9

19. 12 and 16

20. 8 and 6

21. 2 and 3

22. 3 and 4

23. 4 and 5

6



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UNIT 6: ADDITION OF FRACTIONS

Simplify

1.1 2

3 3+ =

2.1 3

4 4+ =

3.1 5

6 6+ =

4.2 5

9 9+ =

5.5 6

12 12+ =

6.1 1

2 4

+ =

7.1 3

2 8+ =

8.2 1

3 6+ =

9. 3 34 10

+ =

10.3 3

5 10+

11. 1+3

10=

12. 2+4

5=

13. 3+11

12=

14. 3+23

10=

15. 10+45

9=

16. 18+64

7

=

17. 65

108

+ =

18. 75

139

+ =

19. 13 6 137

+ =

20. 21 2

33 3

+ =

21. 41 3

104 4

+ =

22. 11 5

26 6

+ =

23. 32 5

59 9

+ =

24. 55 6

312 12

+ =

25. 31 1

22 4

+ =

26. 41 3

3

2 8

+ =

27. 52 1

23 6

+ =

28. 33 3

64 24

+ =

29. 3 3 345 10

+ =

30. 11 1

18 16

+ =

7



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UNIT 7: SUBTRACTION OF FRACTIONS

Simplify the following

1.3 1

5 5

2.7 2

9 9

3.11 5

13 13

4.3 1

4 4

5.3 1

5 5

6.1 1

2 4

7.1 1

2 8

8.1 1

2 12

9. 2 13 9

10.3 1

4 3

11.3 1

4 6

12.3 1

5 5

13.6 7

15 20

14.5 4

6 9

15.5 1

8 6

16.1 1

2 3

17.2 1

3 4

18.3 2

4 5

19.5 2

6 7

20.3 2

5 6

21. 21

2

22. 13

4

23. 53

5

24. 11

4

25. 33

7

26. 7

12

2

27. 122

53

28.1

15 94

=

29. 18

511

6

30. 237

209

8



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31. 42 1

3 3 =

32. .2 6 49 9

33. 52 1

5 5

34. 35 2

7 7

35. 14 2

5 5

36.3

3 12

4 4

37. 57 1

39 9

38. 21 1

12 2

39. 49 7

210 10

40.3 1

6 38 8

41. 3

1 1

3 6

42.5 7

26 12

43. 13 1

4 2

44.5 1

312 3

45.5 5

67 14

46.1 1

4 12 4

47.3 3

7 25 10

48.7 3

9 48 4

49. 3 55 24 12

50.2 4

4 33 9

9


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UNIT 8: MULTIPLICATION OF FRACTIONSSimplify the following.

1.2 1

3 3

2.1 1

4 2

3.1 4

3 5

4.3 1

4 2

5.7 3

8 4

6.2 3

5 4

7.5 5

6 7

8.4 2

7 3

9.

2 4

9 5

10.3 2

7 5

11.2 3

5 4

12.4 3

9 5 =

13.4 5

7 8 =

14.9 2

1 0 3

15.3 4

9 9

16.5 2

6 3

17.3 2

4 9

18.5 2

6 3

19.

3 2

2 4

20.7 2

8 3

21.2

35

=

22.1

107

23.5

56

=

24.3

164

25.1

147

26. 124

9

27. 23

10

28. 45

12

29. 5

3

10

30. 83

16

10



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31.5 1

17 2

32.1 1

15 3

33.6 3

213 5

34.7 2

415 7

35.6 1

711 3

36. 1 2 46 5

37. 21 6

3 7

38. 12 5

7 6

39. 33 1

8 9

40. 21 2

4 9

41. 11 1

12 2

42. 21 3

18 5

43. 11 2

23 5

44. 24 1

27 3

45. 1

4 21

7 7

46. 21 1

13 5

47. 11 3

1

12 5

48. 24 1

29 4

11


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UNIT 9: DIVISION OF FRACTIONSSimplify the following

1.1 1

2 2

2.2 3

3 4

3.1 1

4 4

4.4 1

6 2

5.7 3

8 4

6.3 2

5 5

7.1

47

8. 61

3

9. 1

1 1

2 4

10. 11 1

12 4

11.3 1

15 5

12. 11 1

110 5

13. 21 1

12 4

14. 2 113 3

15. 101

115

16. 21 1

2 2

17.3 2

4 3

18. 11 1

4 4

19.1 4

2 6

20.3 7

4 8

21.2 3

5 5 =

22. 41

7

23.1

63

24. 41

7

25. 11 3

5 5

26. 11 3

5 10

27. 11 1

14 2

28. 11 2

3 3

29. 1

1 1

15 10

30. 11 1

13 2

12



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UNIT 10: DECIMALS (Addition , Subtraction , Multiplication and Division ofDecimals )

Examples :1) 0.9 + 3.5 = 4.4 2) 4.5 2.3 = 2.2 3)3.3 10 = 33 4) 4.5 10 = 0.45

1) 0.5 + 9.8 =

2) 4.5 + 3.2 =

3) 5.5 + 2.3 =

4) 3.3 + 3 =

5) 6.7 + 5.9 =

6) 7.71 + 3.5 =

7) 0.06 + 1.2 =

8) 8.9 + 2.6 =

9) 6 + 3.7 =

10) 4.6 + 1.2 =

11) 8 + 1.56 =

12) 9.8 + 1.5 =

13) 5.7 + 1.3 =

14) 6.7 + 3.9 =

15) 9 + 5.9 =

16) 7 + 6.8 =

17) 0.7 + 3.4 =

18) 0.8 + 3.7 =

1) 4.8 3.2 =

2) 4.6 2 =

3) 9.9 3.2 =

4) 12 - 0.3 =

5) 3.9 1.2 =

6) 6.9 1.2 =

7) 9.7 2 =

8) 9.4 3.8 =

9) 12.9 1 =

10) 15 0.5 =

11) 34.9 1.2 =

12) 23.8 1.2 =

13) 5.6 1.2 =

14) 9.7 1.3 =

15) 7.7 3.3 =

16) 12.6 1.4 =

17) 33.5 1.2 =

18) 5.6 3.4 =

1) 1.2 2 =

2) 0.3 6 =

3) 0.9 3 =

4) 4.8 2 =

5) 2.5 2 =

6) 0.9 9 =

7) 8.9 3 =

8) 3.9 3 =

9) 3.3 4 =

10) 3.4 5 =

11)4.6 0.3 =

12) 3.7 0.8 =

13) 6.6 0.9 =

14)3.4 0.2 =

15) 7.6 0.5=

16) 9.5 100 =

17) 6.3 100 =

18) 3.5 1000 =

1) 21.2 0.1 =

2) 9.1 2 =

3) 2.2 5 =

4) 8.6 2 =

5) 9.5 5 =

6) 12.9 0.3 =

7) 14.7 7 =

8) 15.5 0.5 =

9) 30.6 6 =

10) 23.4 2 =

11) 11.3 10 =

12) 4.45 10 =

13)2 5.5 10 =

14) 30.5 100=

15) 23.4 100 =

16) 1.3 100=

17) 4.45 1000 =

18) 555.67 1000=

13


Exercises: Evaluate the following


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Express each of the following fractions as a decimal.

1)1

10=

2)1

100=

3)1

1000=

4)7

10=

5)7

100=

6)7

1000=

7)11

100=

8)11

1000=

9)1

1

10

=

10) 11

100=

11) 23

100=

12) 213

100=

13) 5 131000

=

14) 363

1000=

15)1

2=

16)3

4=

17)4

5=

18)3

5=

19)13

25=

20)7

8=

21)1

4=

22)14

25=

23)17

25

=

24)5

2=

25)9

2=

26)9

5=

27) 145

=

28)14

5=

29)

26

5 =

30)25

2=

31)45

2=

32)10

25=

33)12

5=

34)15

4=

35)10

4=

36)

41

5 =

37)11

5=

38)54

5=

39)13

5=

40)15

7=

14


UNIT 11: DECIMALS


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UNIT 12: INTEGERS

Arrange each of the following sets of integers in increasing order.

1. -5,-3,0,-1,2,-4

2. 8,-7,-5,6,-9,3

3. -10,-1,1,3,4,-2

4. -7,-3,5,-2,7,4

5. 6,-4,0,1,-3,-9

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

7. -7,-6,0,3,4,1

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

9. 9,-12,-6,3,7,-10

10. -11,-4,8,-3,5,-6

11. -7,5,-9,3,0,-2

12. 8,-12,13,-15,7,11

13. -20,-15,16,7,11,1

14. 5,-15,-20,15,10,-5

15. 4,-12,-11,1,4,-10

16. 7,3,-4,-7,-8,-5

17. 16,-17,-20,9,0,1

18. -1,3,-4,-5,10,12

19. 17,4,-3,-11,-20,-1

20. 17,4,-3,-11,-20,-1

21. 0,-1,-8,4,7,8

22. -8,-11,13,15,16,-4

23. 15,17,-18,-11,-12,-1

24. -7,-12,4,7,9,8

25. 3,4,-5,-6,7,8

26. -4,-3,-7,-1,-10,4

27. 9,11,-7,-12,-14,-17

28. -9,-1,0,3,7,10

29. 1,-2,3,0,-5,4

30. 11,-14,-17,-18,4,5

31. 10,-10,-9,9,-7,7

32. -1,-2,-3,-4,-5,-6

33. -20,-18,-16,-14,-12,1

34. 1,4,-3,4,-11,-17

35. -4,0,7,9,-16,-15

36. 9,-1,-7,-9,0,1

37. 11,13,-14,19,-20,-12

38. -3,1,7,-9,-11,-15

39. -12,-14,-1,2,3,8

40. 10,20,-12,-17,4,-4

15



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UNIT 13: INTEGERS

Complete each of the following with symbol ``

1. -4 ______ +2

2. +8 ______ -9

3. -3 ______ -7

4. -5 ______ +6

5. +9 ______ -20

6. +3 ______ -2

7. -7 ______ -6

8. -1 ______ -2

9. +10 ______ -9

10. -2 ______ -1

11. +6 ______ -5

12. +7 ______ -7

13. -3 ______ +3

14. 0 ______ -2

15. -6 ______ +5

16. -9 ______ -7

17. +4 ______ -7

18. +5 ______ -2

19. -3 ______ -5

20. -2 ______ +3

21. -1 ______ -3

22. +3 ______ -2

23. +9 ______ -1

24. -10 ______ -1

25. 0 ______ +8

26. -7 ______ +7

27. +3 ______ -8

28. +7 ______ -1

29. -9 ______ +8

30. -4 ______ -8

31. +1 ______ -4

32. +7 ______ -6

33. -9 ______ +9

34. +2 ______ -1

35. +9 ______ -8

36. +2 ______ -3

37. -5 ______ -6

38. -8 ______ -7

39. +6 ______ -9

40. +7 ______ -10

16



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UNIT 14: INTEGERSCalculate each of the following

1. 6 + (-4) + (-5) =

2. -2 + (-3) + 7 =

3. 8 (-4) 3 =

4. 5 + (-7) + 10 =

5. -7 + 1 + 2 =

6. -6 + (-4) + (-3) =

7. 3 + 6 + (-10) =

8. -4 + 9 + (-5) =

9. -8 + (-7) + 10 =

10. 4 (-4) 12 =

11. 8 15 (-2) =

12. -6 (-7) (-2) =

13. 6 (-3) (-1) =

14. -2 5 (-6) =

15. -9 (-5) 8 =

16. 20 (-7) (-2) =

17. 3 + (-4) + 3 =

18. 4 + (-4) 7 =

19. 3 + (-1) +7 =

20. -6 + (-11) + 9 =

21. -10 2 - 3 =

22. 7 (-1) (-14) =

23. -4 + 7 3 =

24. -7 + (-2) 1 =

25. 6 + (-6) 4 =

26. 5 + (-13) + 4 =

27. -4 - 8 -7 =

28. -7 + 1 - (-4) =

29. 1 (-1) + 4 =

30. 7 4 + (-1) =

31. 10 (-1) (-4) =

32. 7 + 8 + (-9) =

33. -4 - 6 (-3) =

34. -1 - 4 + 5 + =

35. 10 + (-4) (-6) =

36. 4 (-4) + 4 =

37. -8 (-1) + 6 =

38. -4 + (-1) + 6 =

39. -10 12 + (-1) =

40. 7 (-1) + 2 =

41. -4 + (-7) 8 =

42. -9 (-1) (-4) =

43. 11 1 + (-4) =

44. 5 (-4) + 3 =

45. -10 (-1) + 4 =

46. 13 + 2 (-1) =

47. -17 + (-2) 1 =

48. -14 - 5 - 4 =UNIT 15: DIRECTED NUMBER

17




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1. 0.1 2 =

2. 0.04 2 =

3. 0.02 3 =

4. 2.2 3 =

5. 1.4 2 =

6. 3.2 4 =

7. 1.8 3 =

8. 5 1.3 =

9. 7 0.5 =

10. 1.1 + 0.5 =

11. -0.8 + 1.0 =

12. -0.5 + 0.7=

13. -0.3 + 0.5 =

14. -0.6 + 0.9 =

15. -0.4 + 0.5 =

16. -0.7 + 1.1 =

17. -0.8 + 1.2 =

18. -0.4 + 0.8 =

19. -0.3 + 0.6 =

20. -0.9 + 1.3 =

21. 0.8 ( - 0.2) =

22. 0.5 (- 0.3) =

23. 2.5 (-0.5) =

24. 0.6 (-1.5) =

25. 1.2 ( -0.8) =

26. 0.5 + (-1.5) =

27. 0.3 + (-1.5) =

28. 0.4 + ( - 0.5)

29. 0.8 + ( -0.4) =

30. 1.2 + ( -0.2) =

31. 0.8 ( -0.2) =

32. 0.8 ( -0.4)=

33. 0.9 ( -0.3) =

34. 0.6 ( -0.2) =

35. 0.4 ( -0.2) =

UNIT 16: DIRECTED NUMBER

18



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Express the following mixed numbers as a decimal.

1.1

-12

=

2. 12 2 =

3.1

14

=

4.1

-24

=

5.1

-35

=

6.2

-15

=

7.1

-34

=

8.1

-52

=

9. 3-3 4 =


10. =62

87

11. =63

74

12. =63

85

13. =31

54

14. =116

73

15. =+82

65

16. =84

63

17. =+42

21

18. =+72

84

19. =61

21

20. =

3

2

9

4

21. =

31

72

22. =

51

21

23. =41

52

24. =

+

32

31

19


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25. =+43

65

26. =

61

32

1

27. =21

53

9

28. =+32

732

4

29. =+32

221

1

30. = 314517

31. =+32

843

7

32. =21

143

4

33. =3

21

2

12

34. =43

432

5

35. =32

141

3

36. =32

221

1

37. = 10752

38. =

+

31

97

39. =62

43

40. =+43

83

41. =

41

565

Calculate each of the following andexpress the answer as a decimal

42. =+5

30.7

43. =+52

0.06

44. =

+

54

0.08

45. =51

0.5

46. =

+

41

0.04

47. =+ 0.310.23.4

48. =+51

0.23.6

49. =+21

10.34.2

50. =

+

5

113.021.4

51. =

21

10.34.21

20


21/111

52. =

21

120.1

53. =

2

1

120.04

54. =

41

130.02

55. =

21

132.2

56. =

41

121.4

57. =

+

21

131.8

58. =

+

41

131.5

59. =

21

10.43.26

60. =

41

10.22.48

61. =

21

10.31.24

62. =+51

0.5

63. =+210.05

64. =

+

103

0.08

65. =+51

41

67. =

+

51

52

68. ( ) =+ 1.60.71.2

69. =

+

41

10.63.12

70. =

5

10.141.2

71. =

+

21

0.52.14

72. =

51

0.45.21

73.

21

-0.23.22 =

74. =

51

--0.042.32

75. =

21

--0.21.24

21


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UNIT 17: SQUARES, SQUARE ROOTS, CUBES AND CUBE ROOTS

Squares Of Numbers

Write the following numbers in the form of 2a .

Examples1) 2111 = 2) ( ) ( ) ( )2

3 3 3 = 3)2

2.2 2.2 2.2 = 4)2

43

43

43

=

1) 3 3 =

2) 5 5 =

3) 10 10 =

4) 15 15 =5) 18 18 =

6) 20 20 =

1) ( ) ( )2 2 =

2) ( ) ( )6 6 =

3) ( ) ( )9 9 =

4) ( ) ( )13 13 =

5) ( ) ( )17 17 =

1) 4.1 4.1 =

2) 6.2 6.2 =

3) 11.3 11.3 =

4) 12.4 12.4 =5) ( 18.5) (18.5) =

6) ( 21.2) ( 21.2) =

1)1 1

2 2 =

2)2 2

5 5 =

3)6 6

7 7 =

4)9 9

11 11 =

Express each of the following as a form of multiplication.examples

1) ( ) ( ) ( )2

2 2 2 = 2)2

2 2 2

5 2 5

=

3)2

1 1 1

4 4 4

=

4) ( ) ( ) ( )2

3.2 3.2 3.2 =

1) ( ) 23 =

2) ( )2

4 =

3) ( )2

5 =

4) ( ) 26 =

5) ( )2

7 =

6) ( )2

8 =

7) ( )2

9 =

1)2

3

5

=

2)2

5

7

=

3)2

3

8

=

4)25

12 =

5)2

13

4

=

1)2

1

5

=

2)2

3

7

=

3)2

4

9

=

4)29

3 =

5)2

11

3

=

1) ( ) 23.5 =

2) ( )2

5.2 =

3) ( )2

6.3 =

4) ( )2

9.7 =

5) ( )2

11.4 =

6) ( )2

7.8 =

7) ( )2

8.5 =

22

Exercises : Write the following numbers in the form of 2a



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Estimating the squares of the following numbers

Examples1) 2 22.3 2 4 = 2) 2 22.6 3 9 = 3) 2 24.4 4 16 = 4) 2 223.2 23 529 =

Exercises1) 22.1

2) 23.6

3) 24.3

4) 25.8

5) 26.4

6) 27.7

7) 28.2

8) 29.9

9) 210.9

10) 211.4

11) 212.8

12) 213.1

13) 213.9

14) 214.6

15) 215.1

16) 216.2

17) 217.4

18) 217.7

19) 219.1

20) 220.4

Examples 12 3 4< < 2 2 22 3 4< < 4 9 16< , < , , . Example : 10 is greater than 4

10 > 4

Exercises :

1. 11 is greater than 10

____________

2. 4 is less than 6

__________

3. -6 is less than 6

_________


__________

5. -5 is greater than -10

__________

6. 3 is less than 10

__________

7. 5 is less than 8

__________


__________

9. 4 is greater than -20

_________


_________

11. a is less than c

__________

12. k is greater than p

__________

13. m is greater than or equal to 15

__________

14. z is less than d

__________


__________


__________


__________


__________

19. d is less than or equal to 5

__________

20. u is greater than or equal to 4

__________

21. k is less than or equal to 20

__________

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UNIT 66: LINEAR INEQUALITIES State True or False to each of the followinginequalities. Example : 4 < 5 True.

1. 3 < 2 __________

2. 7 > 9 __________

3. 12 > 1 __________

4. 7 < 5 __________

5. 3 > 2 __________

6. 5 > 6 __________

7. 12 < 3 __________

8. 4 < 6 __________

9. 6 < 9 __________

10. 5 > 11 __________

11. 14 < 9 __________

12. 3 > 6 __________

13. 8 > 9 __________

14. 2 < 7 __________

15. 7 > 14 __________

16. 25 < 17 __________

17. 29 > 23 __________

18. 21 < 16 __________

19. 2 > 9 __________

20. 8 < 4 __________

21. 27 < 60 __________

22. 12 > 25 __________

23. -4 < 6 __________

24. -17 < -20 __________

25. 19 > -32 __________

26. -3 < -15 __________

27. -12 > 5 __________

28. + 6 < - 25 __________

29. - 24 < -- 4 __________

30. + 2 > - 26 __________

31. 9 > - 100 __________

32. - 33 < 4 __________

32. + 1 > - 25 __________

33. - 23 < - 3 __________

34. + 3 < - 8 __________

35. + 7 > - 43 __________

36. - 22 > 2 __________

37. + 3 > - 63 __________

38. - 4 < - 25 __________

39. + 6 < - 32 __________

40. - 9 > - 29 __________

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UNIT 67: LINEAR INEQUALITIES Represent each of the following inequalities on anumber line. Example x < 3

3

Exercises:

1. x 3

3

2. x > 7

3. x < 5

4. x -3

5. x 5

6. x - 4

7. x 4

8.x - 3

9. x < 6

10. x 9

11. x 8

12. x > 3

13. x < 7

14. x 9

15. x > 9

16. x 4

17. x > -7

98



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UNIT 68: LINEAR INEQUALITIES Operations on Inequalities.Solve each of the following inequalities.

1. x + 5 8

2. x + 7 > 11

3. x + 5 12

4. x + 11 > 15

5. x + 34 < 44

6. x + 8 18

7. x + 7 > 15

8. x + 20 40

9. x + 13 19

10. x + 15 > 20

11. x + 14 35

12. x + 9 49

13. x + 27 > 30

14. x + 5 < 45

15. x + 10 37

16. x + 8 29

17. x + 55 > 65

18. x + 38 72

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1. 10 + x > 17

2. 34 + x 14

3. 18 + x > 28

4. 23 + x 33

5. 14 + x 12

6. 22 + x < 44

7. 25 + x > 50

8. 13 + x 49

9. 15 + x 32

10. 36 + x 77

11. 26 + x > 46

12. 14 + x 12

13. 9 + x 27

14. 17 + x < 25

15. 32 + x > 49

16. 19 + x 53

17. 15 + x 40

18. 28 + x > 37

19. 15 + x 55

20. 12 + x < 82

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1. x 6 < 4

2. x - 4 > 8

3. x - 1 10

4. x - 8 > 12

5. x - 12 9

6. x - 7 < 21

7. x - 9 19

8. x - 12 > 36

9. x - 6 < 20

10. x - 31 33

11. x - 13 < 24

12. x - 4 20

13. x - 25 > 3

14. x - 12 36

15. x - 31 > 13

16. x - 12 30

17. x - 33 77

18. x - 4 < 9

19. x - 8 19

20. x - 21 14

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1. 12 x - 4

2. 10 > x - 7

3. 6 x - 1

4. 15 > x - 22

5. 18 x - 15

6. 8 > x - 10

7. 32 x + 4

8. 8 x - 8

9. 24 < x + 20

10. 17 = x + 7

11. 10 = x + 3

12. 13 = x + 13

13. 8 < x - 7

14. 32 x + 10

15. 24 < x - 5

16. 9 x + 12

17. 23 > x - 11

18. 12 x + 7

19. 30 > x - 6

20. 37 x + 3

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1. 2x < 12

2. 3 x 9

3. 6 x > 18

4. 2 x < 20

5. 4 x 48

6. 8 x 32

7. 5x > 35

8. 3 x 30

9. 6 x 42

10. 9 x > 81

11. 2 x 24

12. 9 x > 27

13. 5 x < 50

14. 12 x 36

15. 7 x 56

16. 4 x < 44

17. 5 x 100

18. 11 x 132

19. 7 x < 7

20. 9 x 63

21. 12 x > 144

22. 9 x < 108

23. 6 x > 42

24. 8 x 56

103



104/111


105/111


1.3

x< 3

2.36

x 3

3.30

x< 10

4.48

x 6

5.10

x> 10

6.54

x 5

7.16

x> 4

8.15

x 5

9.16

x> 4

10.14

x 7

11.12

x 3

12.55

x 5

13.

42

x < 7

14.100

x 10

15. 15x

> 3

105



106/111

UNIT 75: LINEAR INEQUALITIES Operations on Inequalities.Solve each of the following inequalities.1. 3x + 2 < 11

2. 8 3x > 2

3. 2x + 1 7

4. 4

x

1 < 2

5. 12 x + 3

6. x 3 > 1

7. 2x + 5 < 11

8. 3x 6 12

9. 3 + 2x 7

10.2

4

x 5

11. 3x + 1 7

12.2

3X 5 > 1

13.3 1

2

x > 7

14. x + 3 8

15. 6 x > 10

16. 2x + 3 15

17. 3x 2 13

18. 5

6x > 10

19. 13 3x < 4

106



107/111


108/111

f) Table F shows the values of two variablesxand y, of a function.

x -3 -2 -1 0 1 2 3 4y 27 7 -7 -15 -17 -13 -3.5 13

Table FBy using a scale of 2cm to 1 unit on the x-axis and 2 cm to 5 units on y-axis, drawthe graph of the function.

g) Table G shows the values of two variablesxand y, of a function.

x -2 -1 0 1 2 3 4 4.5y 18 5 -1.5 -2 -1 -5.5 -17 -25

Table GBy using a scale of 2cm to 1 unit on thex-axis and 2 cm to 5 units on y-axis, drawthe graph of the function.

h) Table H shows the values of two variablesxand y, of a function.

x -3 -2 -1 0 1 2 3 3.5 4y 32 12 -2.5 -15 -21 -15 -9 -15 -45

Table HBy using a scale of 2cm to 1 unit on thex-axis and 2 cm to 10 units on y-axis, drawthe graph of the function.

i) Table I shows the values of two variablesxand y, of a function.

x -3 -2 -1 0 1 2 3 3.5 4y -50 -25 -7 -5 11.5 12 12.5 19 37.5

Table IBy using a scale of 2cm to 1 unit on thex-axis and 2 cm to 10 units on y-axis, drawthe graph of the function.

j) Table J shows the values of two variablesxand y, of a function.

x -3 -2 -1 0 1 2 3 4 5y -7 0.5 2 0.5 -1 0.5 8 20 35

Table JBy using a scale of 2cm to 1 unit on thex-axis and 2 cm to 5 units on y-axis, drawthe graph of the function.

108


109/111

UNIT 77: TRIGONOMETRY

tan

cos

sin

opposite otoa

adjacent a

adjacent acah

hypotenuse h

opposite osoh

hypotenuse h

= =

= =

= =

Exercise

1. Based on the right-angled triangle PQR, name;

a) the hypotenuse =______________________

b) the opposite side to angle = ____________

c) the adjacent side to angle =_____________

2. Find the value of tan .

a)

tan= _________

b)

tan= __________

c)

tan= __________

d)

tan= __________

e)

tan= ___________

f)

tan= __________

3. Find the value of sin .

109


Q

PR

C

A

opposite side

hypotenuse

B adjacent side

6cm

8cm

10cm

26cm

10cm

24cm

2m

1m

5

12cm

4cm

2.5cm

2cm

1.5cm

3

1cm2cm


110/111

a)

sin= __________

b)

sin= __________

c)

sin = ___________

d)

sin= __________

e)

sin= ___________

f)

sin = ___________

4. Find the value of cos .

a)

cos = __________

b)

cos = ___________

c)

cos = ___________

d)

cos = __________

e)

cos = ____________

f)

cos = _________

UNIT 78: TRIGONOMETRY Find the unknowns

110

8

6

10

5cm

13cm

12cm

24

10 26

4

3 5

6.56

2.5

257

24

5

12

13

17

15

8

2

2.51.5

12

3.5

12.5

32 5

2

13

113



111/111

9

x

a) Given tan =3

4, find the

value ofx

c) Given that tan =1

4, find the

value ofx.

e) Given sin =3

5,find the value

ofx

g) Given cos =3

find the value

b) Given tan =1

2, find the value ofx.

d) Given sin =4

5, find the value ofx

f) Given sin =7

12, find the value ofx

24

10

x

x

9

8

8

x

x

x

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