Download Practice Work 1 Q1. Solve the followings Q2. What are complex

Practice Work 1
Q1.
Solve the followings
i.
5 7
ii.
2 9
iii.
5i   7
35i
iv.
5i
v.
7i  8i
Q2. What are complex roots of quadratic equation.
Q3. Find complex roots of the followings
i.
ii.
iii.
x 2  x  12  0
x 2  9 x  20  0
5 x 2  5 x  56  0
Practice Work 2
Q1. Solve by factorization
x 2  x  12  0
iv.
x 2  9 x  20  0
v.
x 2  5x  6  0
vi.
Q2. Solve by quadratic formula
x 2  x  12  0
i.
x 2  9 x  20  0
ii.
x 2  5x  6  0
iii.
Q1. Solve by quadratic formula
x2  x  2  0
i.
3x 2  9 x  20  0
ii.
7 x 2  x  11  0
iii.
Practice Work 3
Q1. Solve the followings by completing square method
i.
ii.
iii.
iv.
v.
x2
x2
x2
x2
x2
 10 x  11
 6 x  16
 4x  5
 6 x  27
 6x  7
Q2. Draw graph of followings quadratic functions
i.
ii.
iii.
iv.
v.
x2
x2
x2
x2
x2
 10 x  0
 6x  0
 4x  0
 6x  0
 6x  0
Practice Work 4
Q1. Draw graph of followings quadratic functions
x 2  10 x  0
i.
x 2  6x  0
ii.
x 2  4x  0
iii.
x 2  6x  0
iv.
x 2  6x  0
v.
also identify the followings in each graph
i. Vertex:
ii.
Minimum or Maximum:
iii.
X-intercept:
iv.
Y-intercept:
v.
One pair of symmetric points:
vi.
Domain:
vii.
Range:
Practice Work 5
Q1. Find domain and range of each function
i. f = {(1, -1),(2, -2),(3, -3),(4, -4)}
ii. f = {(1, a),(2, b),(3, c),(4, d)}
iii. f = {(1, 2),(3, 4),(5, 6),(7, 8)}
iv.
y=x+3
v.
y = 3x - 4
Q2. Find inverse of each function
i. f = {(1, -1),(2, -2),(3, -3),(4, -4)}
ii. f = {(1, a),(2, b),(3, c),(4, d)}
iii. f = {(1, 2),(3, 4),(5, 6),(7, 8)}
iv.
y=x+3
v.
y = 3x - 4
Q3. What is the type of the following functions
i. f = {(1, -1),(2, -2),(3, -3),(4, -4)}
ii. f = {(1, a),(2, b),(3, c),(4, d)}
iii. f = {(1, 2),(3, 4),(5, 6),(7, 8)}
iv.
f = {(1, 5),(2, 5),(3, 6),(4, 6), (5,7)}
1
2
3
4
5
v.
5
6
7
f = {(a, 5),(a, 6),(b, 6),(c, 7), (d,7)
a
b
c
d
5
6
7
Practice Work 6
Q1. Find value of f (1) when f ( x)  1  x 2
Q2. Find value of f (
2
) when f ( x)  x 2  3x  5
3
Q3 If f ( x)  2 x  3 and g ( x)  x 2
Then find (f(x) + g(x)), (f(x) - g(x)), fog(x), gof(x), fof(x) and gog(x)
Q4. If f ( x)  2 x 2  5 and g ( x)  x 5
Then find (f(x) + g(x)), (f(x) - g(x)), fog(x), gof(x), fof(x) and gog(x)
Q5. If f ( x)  x 2  1 and g ( x)  x 3
Then find (f(x) + g(x)), (f(x) - g(x)), fog(x), gof(x), fof(x) and gog(x)
Practice Work 7
Q1. Draw graph of the following
ex
i.
e2x
ii.
e5x
iii.
Q2. Draw graph of the followings
log x
i.
log 2 x
ii.
log 5 x
iii.
Q3. Draw graph of the followings
iv.
ln x
v.
ln 2 x
vi.
ln 5x
Practice Work 8
Q1. Write in logarithmic form
3 4  81
i.
1
ii.
iii.
32 5  2
1

1
16 4 
2
Q2. Write in logarithmic form
i.
log 2 32  5
1
log 2  2
ii.
4
3
log 25 125 
iii.
2
Q3. Write down laws of logarithm
Q4. Solve by using laws of logarithms
log 3 x 5  log 3 x 2  3
i.
ii.
iii.
iv.
v.
3 log 4 2  log 4 x 2  3
log 5 7  log 5 ( x  5)  3
log 6 (2 x  6)  log 6 x  2
log 18 x  log 18 ( x  3)  1
Practice Work 9
Q1. Write formulas of sines law and cosines law
Q2. Write Double angle and Half angle formulas
Q3. Draw graph of sin 3
Practice Work 10
Law of Sine
We can use law of sine when Two angles and any side is given
Law of Cosine
We can use law of cosines when Three sides or Two sides and their included angle
are given
Q1. Solve the triangle
i.
ii.
iii.
iv.
v.
a = 53, β = 880, γ = 320
β = 600, γ = 150, b = 6
α = 430, γ = 740, c = 16.1
a = 283, b = 317, c = 428
α = 1200, b = 3 cm, c = 5 cm
Q2. Measures of two sides of a triangle are in the ratio 3 : 2 they include an
angle of 570. Find the remaining two angles.
Q3. Find the length of third side of a triangular building that faces
13.6 m along one street and 13 m along another street. The
angle of intersection between the streets measures 72.
Q4. Three villages A, B and C are connected by straight roads 6 Km, 9 Km and
13 Km. What angles these roads make with each other?
Q5. Two boys, A and B, sitting 33 meters apart on the Swadi beach. A boat, C,
lies on the seabed. The angle of depression of A is 60° and the distance AC
is 40 meters. Calculate the distance BC
Practice Work 11
Q1.
For a school staff, the following expenditures (in omani riyals) are required for
the repair of chairs.
145, 152, 153, 156, 158, 160, 146, 152, 155, 159, 161, 163, 165, 147, 148, 151, 154,
156, 158, 160, 144, 147, 151, 150, 152, 149, 145, 153, 152, 155
Prepare a frequency distribution by tally bar method using 3 as the size of class.
Q2.
Following are the mistakes made by a group of students of class 10 in a test of
essay writing. Using an appropriate size of class interval, make a frequency
distribution and also indicate the number of class intervals.
4, 7, 12, 9, 21, 16, 3, 19, 17, 24, 14, 15, 8, 13, 11, 16, 15, 6, 5, 8, 11, 20, 18, 22, 6
Q3.
Following are the marks (out of 500) obtained by 40 students in a certain
examination.
310, 350, 370, 320, 380, 390, 400, 398, 399, 315, 326, 337, 348, 368, 359, 361, 372,
382, 389, 309, 340, 335, 301, 302, 317, 345, 350, 335, 354, 340, 400, 356, 335, 375,
342, 332, 325, 376, 374, 338
Practice Work 12
Q1. Followings are the number of goals by each player
Name of Player Goals Scored
A
4
B
6
C
17
D
9
E
2
Construct a Pie chart.
Q2. Followings are the number of mistakes made by each student
Name of Player Goals Scored
A
15
B
11
C
9
D
4
E
3
Construct a Pie chart.
Q3. Construct a Pie chart of the followings according to your home kitchen.
Goods and Services Expenditure(in omani riyals)
Floor
15
Rice
11
Sugar
9
Oil
4
Meat or Chicken
3
Practice Work 13
Q1. Find mean, median and mode of the following data
i. 188, 170, 172, 125, 115, 195, 181, 190, 195, 190
ii. 8, 5, 11, 3, 6, 6, 9, 4
iii. 148, 150, 141, 135, 150, 161, 142, 162
iv.
12, 18, 19, 0, -19, -18, -12
v.
6.5, 11, 12.3, 9, 8.1, 16, 18, 20.5, 25
Q2. The marks obtained by the students in the course of English are given
below. Find Arithmetic Mean of their marks.
Marks Obtained Frequency
15 - 19
9
20 - 24
18
25 - 29
35
30 - 34
17
35 - 39
5
Q3. Find mean of the grouped data
Number of
Scores
students
(f)
0 – 10
10 – 20
20 – 30
30 – 40
40 – 50
50 – 60
60 – 70
70 – 80
80 – 90
90 – 100
4
7
3
14
12
8
18
10
23
12
Q4. The mean of 45 numbers is 80. Find sum
Q5. Write at least 3 merits and 3 demerits of Mean, Median and Mode
Practice Work 14
Q1. Find Mean and Standard Deviation of 11, 13, 25, 15, 12, 18, 17, 23, 20, 16
Q2. Find Mean and Variance of 115, 108, 95, 118, 130, 114, 116, 121, 109
Q3. Find Mean, Standard Deviation and Variance of
145, 142, 133, 138, 147, 151, 135, 160, 117, 122
Q4. What is the range of this data
1.25, 3.12, 15, 14.28, 9.1, 16.24, 4.45, 1.13, 9, 16.28
Q5. Write formula for Permutation and Combination
Q6. Find value of (n) from the followings:
n
i.
P2  20
n
C3  220
ii.
12  11
n
C10 
iii.
2!
Practice Work 15
Q1. How many different arrangements can be made by using all the letters of
the word "MATHEMATICS"
Q2.
How many signals can be given by 5 flags of different colors, using 3
flags at a time?
Q3. How many triangles can be formed by joining the vertices of the polygon
having 5 sides.
Q4. What is Probability. Write its formula
Q5. One dice is rolled. Find probability of getting MORE THAN 4.
Q6. Two coins are tossed simultaneousely. Find probability of getting AT
LEAST ONE TAIL.
Q7. Two dice are rolled simultaneously. What is the probability of getting
SUM of 11
Practice Work 16
Q1. A box contains 10 red, 30 white and 20 black marbles. A marble is drawn
at random. Find the probability that it is either Red or White.
Q2. A card is drawn from a deck of 52 playing cards. What is the probability
that it is a diamond card or an ace.
Q3. If Sample Space = {1, 2, 3, …, 9}, Event A = {2, 4, 6, 8} and
Event B = {1, 3, 5} then find P(A U B).
Q4. A dice is thrown twice. What is the probability that the sum of the number
of dots shown is 3 or 11.
Q5. A committee of 4 members is to be chosen from a group of 7 boys and
5 girls. Find the probability that the committee will consist of 2 boys and
2 girls.