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Module PMR

CHAPTER 1 : DIRECTED NUMBER A. Complete the following multiplication table. x -8 -6 -4 -2 0 2 4

-8

-6

-4

-2

0

36

2

4

-12 0

-16 16

B. Solving problems involving Combined Operations. Example : -1 + 2 – (- 3) = -1 + 2 + 3 =1+3 =4

1) 3 + ( - 3) – ( - 5)

2) -18 – 3 + 5 – ( - 6 )

3) 12 + 34 + (- 25 ) – 15

4) -2– (- 5 )+( -4 )+(- 6 )

5) -7 + 3 – (- 2) + ( - 2 )

6) -13 – (- 4 )+(-5) – (-3)

7) 30 + 21 – (-34 )

8) -12 – (-4 ) + 5 +(- 6 )

9) 5+( -3 ) – ( -4 )+ (- 4 )

10) - 8 - ( -3 ) + ( - 3 )

11) - 3 + 2 - (-2) + (- 3)

12) 23 + 2 – (- 3 ) + (- 4)

13) 5 + 3 – (- 4 )

14) − 20 C − (−30 C ) + 50 C

Directed Numbers

1

Module PMR

15) 14 – (- 12) + (- 23)

16) -100 + (- 234) – ( -34)

17) -2 – (-3) + (-4) + 5

18) -12 + (-23) – (- 3)

19) 4 – ( -3) + (- 6 ) + ( - 2 )

20) -5 + (- 3 ) – ( - 4)

21) 42 – 3(5 + 3 x 4)

22) 45 – 3( 2 + 3 x 5)

23) 45 – 4 ( 2 – 8 ÷ 4 )

24) 36 + 4(3 -2 ÷ 2)

25) -20 + 3( -3 - 4 x 5 )

26) -45 – 2( -5 + 3 x 3 )

27) ( 4 ÷ 2 – 3) + 3 – 4

28) ( -2 -3 x 4) – 3 + 4

29) ( - 4 – 5 x 3 ) + 4

30) (3 – 2 x 3)4 + 34

31) ( 5 – 6 ÷ 3) 4 – 3

32) (-6 +3x 4)8 + 3 – 7

Directed Numbers

2

Module PMR

Common Errors No

Errors

Correct Steps

1

(-2) + (-3)- (-4) = -2-3-4 =-9

=(-5)+4 = -1

2

(-4)x 9 – (5) =-36 +5 = -31

-36-5 =-41

1 2 10 + x(- ) 3 5 3 5 6 10 = + x () 15 15 13

1 2 10 + x(- ) 3 5 3 1 4 = 3 13 13 12 = 39 39 1 = 39

3

4

=

11 10 x (- ) 15 13

=

22 39

-4 +

1 7

-3

4 1 + 7 7 3 =7

7 1 + 7 7

=-

=-3

6 7

5

(-2.07x0.2) + 2.9 = - 0.414 + 2.9 =-0.604

=-0.414+2.9 =2.486

6

(-7) x 8 x (-4) =(-56) x ( -4) = -224

= -56 x (-4) =224

7

(-

2 5 1 ) x (- ) – (- ) 7 6 3 5 1 =+ 21 3 5 7 =(- ) + 21 21 2 =21

5 1 + 21 3 5 7 = + 21 21 12 = 21

Directed Numbers

3

Module PMR

Questions based on PMR format 1) Calculate the value 3 1 of − 0.6 + (−1 − ) and 5 2 express the answer as a decimal.

2) Calculate the value of 1 1 -5.2 –(- + ) and 8 10 express the answer as a decimal.

3) Calculate the value of 5 7 3 ÷ − (− ) and 8 10 5 express the answer as a fraction in its lowest term.

4) Calculate the value 1 of 3 + (−0.25) x 4.2 2 and express the answer as a decimal.

5) Calculate the value of 1 2 5 ( 3 − 2 ) ÷ 1 and 2 3 6 express the answer as a fraction in its lowest terms.

6) Calculate the value of 3 4 + (−4.2) x (-0.6) and 8 express the answer in decimal

Directed Numbers

4

Module PMR

7) Calculate the value 1 2 2 of ( 2 − 1 ) x 1 6 3 7 and express your answer as a fraction in its lowest term.

8) Calculate the value of 9) Calculate the value of 3 1 2 3 1 + (−2.13) x (-0.4) and 1 x (1 − ) and 4 4 5 4 express your answer in express your answer as decimals. a fraction in its lowest term.

10) Calculate the value 1 2 1 of 1 × 1 − 1 and 4 5 3 express your answer as a fraction in its lowest term.

11) Calculate the value 3 4 5 of 1 − ÷ 1 and 5 7 7 express the answer as a fraction in its lowest term.

Directed Numbers

5

12) Calculate the value 3 1 1 of 2 ÷ 1 × and 4 4 2 express the answer as a fraction in its lowest term.

Module PMR

13) Calculate the value 3 1 1 ÷ 3 × 1 and of 8 8 4 express your answer as a fraction in its lowest terms.

14) Calculate the value 5 1 2 of 1 ÷ 3 − 1 and 12 4 3 express your answer as a fraction in its lowest terms.

15) Calculate the value 1 1 of -0.25 - − + and 5 8 express the answer as a decimal in 2 decimal places.

16) Evaluate 114 – 4 (14 + 54 ÷ 9 )

17) Calculate the value 3 1 4 ÷ − (−0.027) × of 64 8 9 and express your answer as a decimal in 2 decimal places.

18) Calculate the value 1 2 1 of 3 + 1 ÷ 1 and 3 3 4 express your answer as a fraction in its lowest term.

Directed Numbers

6

Module PMR

19) Evaluate 3.6 - [ 0.12 X (-6)]

20) Calculate the value 3 of 19 – (- 1.2) ÷ 8

21) Calculate the value 3 7 2 of 1 × − and 5 8 3 express the answer as a fraction in its lowest term.

PMR past year Questions 2004 3 1 2 1. Calculate the value of 2 − ÷ 2 and express the answer as a 5 3 5 fraction in its lowest term. [2m]

1 1 2. Calculate the value of -0.8 - − + and express the answer as a 2 5 decimal. [2m]

2005 3. Calculate the value of 96 – 3 (12 + 48 ÷ 6 ) [2m]

Directed Numbers

7

Module PMR

1 4. Calculate the value of 4.26 × 0.8 - − 1 and express the answer 2 correct to two decimal places. [2m]

2006 5. Calculate the value of 14 - ( − 0.6) ÷

2 3

[2m]

1 4 2 6. Calculate the value of 1 × − and express the answer as a fraction 8 5 3 in its lowest term. [2m]

2007 7. Calculate the value of - 24 ÷ 8 - 14

8. Calculate the value of

4 × 0.18 0.9

[2m]

[2m]

2008 9. Calculate the value of in its lowest term.

5 3 1 × − and express the answer as a fraction 2 5 3 [2m]

Directed Numbers

8

Module PMR

CHAPTER 1 : DIRECTED NUMBERS ANSWERS B. Solving problems involving Combined operations Q

A

Q

A

Q

A

Q

A

1

5

9

2

17

2

25

-89

2

-10

10

-8

18

-32

26

-53

3

6

11

-2

19

-1

27

-2

4

-7

12

24

20

-4

28

-13

5

-4

13

12

21

-9

29

-15

6

-11

14

6°c

22

-6

30

22

7

85

15

3

23

45

31

9

8

-9

16

-300

24

44

32

44

Questions based on PMR format Q1

-2.7

Q8

Q2

-5.175

Q9

Q3

4 7

Q10

Q4

2.45

Q11

Q5

5 11

Q12

Q6

6.895

Q13

Q7

9 14

Q14

2.602 13 16 1 12 3 5 2 4 5 3 20 17 19

Q15

-0.18

Q16

34

Q17

0.39

Q18

2

3 4

Q19

4.32

Q20

22.2

Q21

1 3

Past year Questions Q1

29 39

Q4

4.91

Q7

-17

Q2

-0.5

Q5

14.9

Q8

0.8

Q3

36

Q6

3 20

Q9

2 3

Directed Numbers

9

View more...
CHAPTER 1 : DIRECTED NUMBER A. Complete the following multiplication table. x -8 -6 -4 -2 0 2 4

-8

-6

-4

-2

0

36

2

4

-12 0

-16 16

B. Solving problems involving Combined Operations. Example : -1 + 2 – (- 3) = -1 + 2 + 3 =1+3 =4

1) 3 + ( - 3) – ( - 5)

2) -18 – 3 + 5 – ( - 6 )

3) 12 + 34 + (- 25 ) – 15

4) -2– (- 5 )+( -4 )+(- 6 )

5) -7 + 3 – (- 2) + ( - 2 )

6) -13 – (- 4 )+(-5) – (-3)

7) 30 + 21 – (-34 )

8) -12 – (-4 ) + 5 +(- 6 )

9) 5+( -3 ) – ( -4 )+ (- 4 )

10) - 8 - ( -3 ) + ( - 3 )

11) - 3 + 2 - (-2) + (- 3)

12) 23 + 2 – (- 3 ) + (- 4)

13) 5 + 3 – (- 4 )

14) − 20 C − (−30 C ) + 50 C

Directed Numbers

1

Module PMR

15) 14 – (- 12) + (- 23)

16) -100 + (- 234) – ( -34)

17) -2 – (-3) + (-4) + 5

18) -12 + (-23) – (- 3)

19) 4 – ( -3) + (- 6 ) + ( - 2 )

20) -5 + (- 3 ) – ( - 4)

21) 42 – 3(5 + 3 x 4)

22) 45 – 3( 2 + 3 x 5)

23) 45 – 4 ( 2 – 8 ÷ 4 )

24) 36 + 4(3 -2 ÷ 2)

25) -20 + 3( -3 - 4 x 5 )

26) -45 – 2( -5 + 3 x 3 )

27) ( 4 ÷ 2 – 3) + 3 – 4

28) ( -2 -3 x 4) – 3 + 4

29) ( - 4 – 5 x 3 ) + 4

30) (3 – 2 x 3)4 + 34

31) ( 5 – 6 ÷ 3) 4 – 3

32) (-6 +3x 4)8 + 3 – 7

Directed Numbers

2

Module PMR

Common Errors No

Errors

Correct Steps

1

(-2) + (-3)- (-4) = -2-3-4 =-9

=(-5)+4 = -1

2

(-4)x 9 – (5) =-36 +5 = -31

-36-5 =-41

1 2 10 + x(- ) 3 5 3 5 6 10 = + x () 15 15 13

1 2 10 + x(- ) 3 5 3 1 4 = 3 13 13 12 = 39 39 1 = 39

3

4

=

11 10 x (- ) 15 13

=

22 39

-4 +

1 7

-3

4 1 + 7 7 3 =7

7 1 + 7 7

=-

=-3

6 7

5

(-2.07x0.2) + 2.9 = - 0.414 + 2.9 =-0.604

=-0.414+2.9 =2.486

6

(-7) x 8 x (-4) =(-56) x ( -4) = -224

= -56 x (-4) =224

7

(-

2 5 1 ) x (- ) – (- ) 7 6 3 5 1 =+ 21 3 5 7 =(- ) + 21 21 2 =21

5 1 + 21 3 5 7 = + 21 21 12 = 21

Directed Numbers

3

Module PMR

Questions based on PMR format 1) Calculate the value 3 1 of − 0.6 + (−1 − ) and 5 2 express the answer as a decimal.

2) Calculate the value of 1 1 -5.2 –(- + ) and 8 10 express the answer as a decimal.

3) Calculate the value of 5 7 3 ÷ − (− ) and 8 10 5 express the answer as a fraction in its lowest term.

4) Calculate the value 1 of 3 + (−0.25) x 4.2 2 and express the answer as a decimal.

5) Calculate the value of 1 2 5 ( 3 − 2 ) ÷ 1 and 2 3 6 express the answer as a fraction in its lowest terms.

6) Calculate the value of 3 4 + (−4.2) x (-0.6) and 8 express the answer in decimal

Directed Numbers

4

Module PMR

7) Calculate the value 1 2 2 of ( 2 − 1 ) x 1 6 3 7 and express your answer as a fraction in its lowest term.

8) Calculate the value of 9) Calculate the value of 3 1 2 3 1 + (−2.13) x (-0.4) and 1 x (1 − ) and 4 4 5 4 express your answer in express your answer as decimals. a fraction in its lowest term.

10) Calculate the value 1 2 1 of 1 × 1 − 1 and 4 5 3 express your answer as a fraction in its lowest term.

11) Calculate the value 3 4 5 of 1 − ÷ 1 and 5 7 7 express the answer as a fraction in its lowest term.

Directed Numbers

5

12) Calculate the value 3 1 1 of 2 ÷ 1 × and 4 4 2 express the answer as a fraction in its lowest term.

Module PMR

13) Calculate the value 3 1 1 ÷ 3 × 1 and of 8 8 4 express your answer as a fraction in its lowest terms.

14) Calculate the value 5 1 2 of 1 ÷ 3 − 1 and 12 4 3 express your answer as a fraction in its lowest terms.

15) Calculate the value 1 1 of -0.25 - − + and 5 8 express the answer as a decimal in 2 decimal places.

16) Evaluate 114 – 4 (14 + 54 ÷ 9 )

17) Calculate the value 3 1 4 ÷ − (−0.027) × of 64 8 9 and express your answer as a decimal in 2 decimal places.

18) Calculate the value 1 2 1 of 3 + 1 ÷ 1 and 3 3 4 express your answer as a fraction in its lowest term.

Directed Numbers

6

Module PMR

19) Evaluate 3.6 - [ 0.12 X (-6)]

20) Calculate the value 3 of 19 – (- 1.2) ÷ 8

21) Calculate the value 3 7 2 of 1 × − and 5 8 3 express the answer as a fraction in its lowest term.

PMR past year Questions 2004 3 1 2 1. Calculate the value of 2 − ÷ 2 and express the answer as a 5 3 5 fraction in its lowest term. [2m]

1 1 2. Calculate the value of -0.8 - − + and express the answer as a 2 5 decimal. [2m]

2005 3. Calculate the value of 96 – 3 (12 + 48 ÷ 6 ) [2m]

Directed Numbers

7

Module PMR

1 4. Calculate the value of 4.26 × 0.8 - − 1 and express the answer 2 correct to two decimal places. [2m]

2006 5. Calculate the value of 14 - ( − 0.6) ÷

2 3

[2m]

1 4 2 6. Calculate the value of 1 × − and express the answer as a fraction 8 5 3 in its lowest term. [2m]

2007 7. Calculate the value of - 24 ÷ 8 - 14

8. Calculate the value of

4 × 0.18 0.9

[2m]

[2m]

2008 9. Calculate the value of in its lowest term.

5 3 1 × − and express the answer as a fraction 2 5 3 [2m]

Directed Numbers

8

Module PMR

CHAPTER 1 : DIRECTED NUMBERS ANSWERS B. Solving problems involving Combined operations Q

A

Q

A

Q

A

Q

A

1

5

9

2

17

2

25

-89

2

-10

10

-8

18

-32

26

-53

3

6

11

-2

19

-1

27

-2

4

-7

12

24

20

-4

28

-13

5

-4

13

12

21

-9

29

-15

6

-11

14

6°c

22

-6

30

22

7

85

15

3

23

45

31

9

8

-9

16

-300

24

44

32

44

Questions based on PMR format Q1

-2.7

Q8

Q2

-5.175

Q9

Q3

4 7

Q10

Q4

2.45

Q11

Q5

5 11

Q12

Q6

6.895

Q13

Q7

9 14

Q14

2.602 13 16 1 12 3 5 2 4 5 3 20 17 19

Q15

-0.18

Q16

34

Q17

0.39

Q18

2

3 4

Q19

4.32

Q20

22.2

Q21

1 3

Past year Questions Q1

29 39

Q4

4.91

Q7

-17

Q2

-0.5

Q5

14.9

Q8

0.8

Q3

36

Q6

3 20

Q9

2 3

Directed Numbers

9

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