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