Module PMR CHAPTER 1 : DIRECTED NUMBER
A. Complete the following multiplication table.
x -8 -6 -4 -2 0 2 4 -8 -6 36 -12 -4 -2 0 0 2 -16 4 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)
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
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 3 31+ 52x ( -103 ) = 15 5 + 15 6 x (- 13 10 ) = 15 11 x (-13 10 ) = 39 22 3 1 + 5 2 x ( -3 10 ) = 3 1 - 13 4 = 39 13 - 39 12 = 39 1 4 -4 +71 = -7 4 + 7 1 = -7 3 -3 7 7 + 7 1 = - 3 7 6 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 (-2) x (-5) – (-1) 5 + 1
Module PMR Questions based on PMR format
1) Calculate the value
of−0.6 ) 2 1 5 3 1 (− − + and
express the answer as a decimal.
2) Calculate the value of
-5.2 –(- ) 10 1 8 1 + and
express the answer as a decimal.
3) Calculate the value of 10 7 ÷ − − ) 8 5 ( 5 3 and express the answer as a fraction in its lowest term.
4) Calculate the value of ( 0.25)
2 1
3 + − x 4.2 and express the answer as a decimal.
5) Calculate the value of
( ) 3 2 2 2 1 3 − ÷ 6 5 1 and express the answer as a fraction in its lowest terms.
6) Calculate the value of ) 2 . 4 ( 8 3 4 + − x (-0.6) and express the answer in decimal
Module PMR 7) Calculate the value
of ( ) 3 2 1 6 1 2 − x 7 2 1 and express your answer as a fraction in its lowest term.
8) Calculate the value of ) 13 . 2 ( 4 3 1 + − x (-0.4) and express your answer in decimals.
9) Calculate the value of 4 1 1 x ) 4 3 5 2 1 ( − and
express your answer as a fraction in its lowest term.
10) Calculate the value
of − × 3 1 1 5 2 1 4 1 1 and
express your answer as a fraction in its lowest term.
11) Calculate the value of 7 5 1 7 4 5 3 1 ÷ − and express the answer as a fraction in its lowest term.
12) Calculate the value
of × ÷ 2 1 4 1 1 4 3 2 and
express the answer as a fraction in its lowest term.
Module PMR 13) Calculate the value
of 4 1 1 8 1 3 8 3÷ × and express your answer as a fraction in its lowest terms.
14) Calculate the value
of − ÷ 3 2 1 4 1 3 12 5 1 and
express your answer as a fraction in its lowest terms.
15) Calculate the value
of -0.25 - − + 8 1 5 1 and express the answer as a decimal in 2 decimal places.
16) Evaluate
114 – 4 (14 + 54 ÷ 9 ) 17) Calculate the value of 9 4 ) 027 . 0 ( 8 1 64 3 ÷ − − ×
and express your answer as a decimal in 2 decimal places.
18) Calculate the value of 3 2 1 3 1 1 4 1 3 ÷ + and express your answer as a fraction in its lowest term.
Module PMR 19) Evaluate
3.6 - [ 0.12 X (-6)]
20) Calculate the value of 19 – (- 1.2) ÷
8 3
21) Calculate the value
of − × 3 2 8 7 5 3 1 and
express the answer as a fraction in its lowest term.
PMR past year Questions 2004
1. Calculate the value of
5 3 2 5 2 3 1 2 ÷ −
and express the answer as a fraction in its lowest term.
[2m]
2. Calculate the value of -0.8 -
− + 5 1 2 1
and express the answer as a decimal.
[2m]
2005
Module PMR 4. Calculate the value of 4.26 × 0.8 -
− 2 1
1 and express the answer
correct to two decimal places. [2m]
2006
5. Calculate the value of 14 -
(
)
3 2 6 . 0 ÷ − [2m]6. Calculate the value of
− × 3 2 5 4 8 1
1 and express the answer as a fraction in its lowest term. [2m]
2007
7. Calculate the value of - 24 ÷ 8 - 14 [2m]
8. Calculate the value of 9 . 0 18 . 0 4× [2m] 2008
9. Calculate the value of
− × 3 1 5 3 2 5
and express the answer as a fraction in its lowest term.
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 2.602 Q15 -0.18 Q2 -5.175 Q9 16 13 Q16 34 Q3 7 4 Q10 Q17 0.39 Q4 2.45 Q11 5 3 Q18 4 3 2 Q5 11 5 Q12 5 2 4 Q19 4.32 Q6 6.895 Q13 20 3 Q20 22.2 Q7 14 9 Q14 19 17 Q21 3 1
Past year Questions 29
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