PABSON Bhaktapur
2nd Terminal Examination 2066
Class: X Sub: Opt Population
Group A
Attempt any 16 questions from this group (16x5)
1. What is family life education? Mention any three of its objectives.
2. When is the beginning of family life? Explain briefly the family life cycle with example.
3. Classify the importance of family life education.
4. What is the difference between early marriage and late marriage? Write disadvantages of early marriage.
5. Mention any five conditions in which second marriage is not prohibited according to the marriage act of Nepal.
6. How does migration affect adversely in human life? Discuss.
7. What is reproductive health? Make a list of eight aspects of reproductive health.
8. What do you mean by family planning? Describe its objective.
9. Differentiate laparoscopy and minilap.
10. Discuss micro nutrient and macro nutrient with example.
11. Differentiate:
a. Immigration and Emigration
b. Pull Factors and Push factors
12. Write a short notes on:
a. Night blindness
b. Rickets.
13. Mention any five reason of high infant and child death rate in Nepal.
14. How do women education and employment help to control population growth? Discuss it.
15. What is natural contracepting? Discuss calendar method.
16. What is Iron Deficiency anemia? Mention its causes and symptoms.
17. What is impact of religious belief like preference of son on population growth? Clarify.
18. Write short notes on:
a. Children the gift of god.
b. Conception.
19. Son is given more important in Nepalese society. Why?
20. Show the immunization schedule for both mother and baby.
Group B
Attempt any two questions (2x10)
21. What is Goiter? Describe its cause, symptoms and controlling measures.
22. Mention any five objectives needed to be empowered the women and explain any five challenges of women empowerment.
23. Define safe method and what major consideration so as to provide safe motherhood service? Mention.
Wednesday, July 28, 2010
optional mathmetics
Joint Examination Board
PABSON, Bhaktapur
Second Term Exam - 2066
Class: X Time: 3 hrs. F.M: 100
Subject: Opt.Maths P.M: 40
Group A [ (2+2) x 8 = 32]
1. a. If f = {(2,4) , (1,8), (0,0)} and g = {(4,0), (0,5),(8,3)}, show the function of g by an arrow diagram and find it in order pair form.
b. State remainder theorem. When x3 + kx2 + 3x + 4 is divided by x - 2, then the remainder is 18. Find the value of K.
2. a. The AM of two numbers P and 8 is 5, find their geometric mean.
b. If the inverse of the matrix is find the values of m and n.
3. a. Which matrix pre multiplies to the matrix gives (10 16)?
b. If the lines A1x + B1y + C1 =0 and A2x + B2y+ C2= 0 are perpendicular to each other , prove that A1A2 + B1B2 = 0.
4. a. Find the separate equations represented by the equation x2 - y2 + 2y - 1 = 0.
b. Find the centre and radius of the circle x2 + y2 - 20y+ 75 = 0.
5. a. Prove that:
b. If , find the value of Sin .
6. a. Prove that: Cos 1050 + Sin 1050 =
b. Solve:
7. a. If and , find the value of p.
b. The position vector of A is and the position vector of B is . If , find the position vector of the point P.
8. a. The translation followed by the translation gives the translation
, what are the values of a and b?
b. If A = , state the transformation represented by A2. Also find the image of point M (2,3) using A2.
Group B (17 x 4 = 68)
9. If f(x) = 4x + 5, g(x) = 3x + k and gf -1(9) = 5, find the value of K.
10. Solve : x3 - 4x2 - 7x + 10 = 0.
11. The product of three numbers of a G.P is 216 and their sum is 19. Find the numbers.
12. Find the maximum value of P = 2x + 3y under constraints
, x+y 0 , y 2.
13. Solve by matrix method; x = 2y - 1 and 2x = y.
14. Find the equation of the straight line passing through the mid point of the
segment joining the points A(2,-4) and B( 2,4) and parallel to the line
3x - 2y - 4 = 0.
15. Find the single equation of a pair of straight lines passing through the origin
and perpendicular to the pair of lines represented by x2 - 5 xy + 4y2 = 0.
16. Find the equation of the circle which touches the x-axis at a point (3,0) and
passing through the point (1,2).
17. Prove that:
18. If A+B+C = prove that;
Cos(B+C-A) +Cos(C+A-B) +Cos (A+B-C) = 1 + 4 Cos A. Cos B. Cos C.
19. Solve: Tan A + Tan3A + Tan A.Tan3A =
20. The shadow of a tower on the ground is found to be 45 m longer when the
sun's altitude is 450 than when it is 600. Find the height of the tower.
21. Prove by vector method that the diagonals of a rhombus intersect at right
angle.
22. A triangle with vertices A(1,2) , B(4,-1) and C (2,5) is reflected in the line
x=5 then rotated through 90+ about origin. Find the final image. Also draw
on the graph paper.
23. Find 2 x 2 transformation matrix which transform the rectangle
into the unit square.
24. Calculate mean deviation from the median and its coefficient from the given
data.
X: 20 18 16 14 12 10 8 6
f: 2 4 9 18 27 25 14 1
25. Calculate standard deviation from the given data:
Class 0-10 10-20 20-30 30-40 40-50 50-60
Frequency 4 6 10 20 6 4
Best of Luck !
PABSON, Bhaktapur
Second Term Exam - 2066
Class: X Time: 3 hrs. F.M: 100
Subject: Opt.Maths P.M: 40
Group A [ (2+2) x 8 = 32]
1. a. If f = {(2,4) , (1,8), (0,0)} and g = {(4,0), (0,5),(8,3)}, show the function of g by an arrow diagram and find it in order pair form.
b. State remainder theorem. When x3 + kx2 + 3x + 4 is divided by x - 2, then the remainder is 18. Find the value of K.
2. a. The AM of two numbers P and 8 is 5, find their geometric mean.
b. If the inverse of the matrix is find the values of m and n.
3. a. Which matrix pre multiplies to the matrix gives (10 16)?
b. If the lines A1x + B1y + C1 =0 and A2x + B2y+ C2= 0 are perpendicular to each other , prove that A1A2 + B1B2 = 0.
4. a. Find the separate equations represented by the equation x2 - y2 + 2y - 1 = 0.
b. Find the centre and radius of the circle x2 + y2 - 20y+ 75 = 0.
5. a. Prove that:
b. If , find the value of Sin .
6. a. Prove that: Cos 1050 + Sin 1050 =
b. Solve:
7. a. If and , find the value of p.
b. The position vector of A is and the position vector of B is . If , find the position vector of the point P.
8. a. The translation followed by the translation gives the translation
, what are the values of a and b?
b. If A = , state the transformation represented by A2. Also find the image of point M (2,3) using A2.
Group B (17 x 4 = 68)
9. If f(x) = 4x + 5, g(x) = 3x + k and gf -1(9) = 5, find the value of K.
10. Solve : x3 - 4x2 - 7x + 10 = 0.
11. The product of three numbers of a G.P is 216 and their sum is 19. Find the numbers.
12. Find the maximum value of P = 2x + 3y under constraints
, x+y 0 , y 2.
13. Solve by matrix method; x = 2y - 1 and 2x = y.
14. Find the equation of the straight line passing through the mid point of the
segment joining the points A(2,-4) and B( 2,4) and parallel to the line
3x - 2y - 4 = 0.
15. Find the single equation of a pair of straight lines passing through the origin
and perpendicular to the pair of lines represented by x2 - 5 xy + 4y2 = 0.
16. Find the equation of the circle which touches the x-axis at a point (3,0) and
passing through the point (1,2).
17. Prove that:
18. If A+B+C = prove that;
Cos(B+C-A) +Cos(C+A-B) +Cos (A+B-C) = 1 + 4 Cos A. Cos B. Cos C.
19. Solve: Tan A + Tan3A + Tan A.Tan3A =
20. The shadow of a tower on the ground is found to be 45 m longer when the
sun's altitude is 450 than when it is 600. Find the height of the tower.
21. Prove by vector method that the diagonals of a rhombus intersect at right
angle.
22. A triangle with vertices A(1,2) , B(4,-1) and C (2,5) is reflected in the line
x=5 then rotated through 90+ about origin. Find the final image. Also draw
on the graph paper.
23. Find 2 x 2 transformation matrix which transform the rectangle
into the unit square.
24. Calculate mean deviation from the median and its coefficient from the given
data.
X: 20 18 16 14 12 10 8 6
f: 2 4 9 18 27 25 14 1
25. Calculate standard deviation from the given data:
Class 0-10 10-20 20-30 30-40 40-50 50-60
Frequency 4 6 10 20 6 4
Best of Luck !
class optional mathematics questin collection
Joint Examination Board
PABSON, Bhaktapur
Second Terminal Examinations - 2066
Class: VIII Time: 1.30 hrs F.M:50
Subject: Opt.Maths P.M: 20
Group ‘A’ [9x2=18]
Q.1 a) In given right angled triangle ABC, find the ratios of Sec & Cosec .
b) Prove: CosA.
Q.2 a) If Sec = ,find Sin and tan .
b) Find the value of: Sin 900 + Cos600 + Tan 450.
Q.3) a) Find the value of: x and y if (x-2, y-3) = (2, 3).
b) Let R = {(0, 0), (1, 1), (2, 8), (3, 27)} be a relation from A B; find the domain and range of R .
Or
If A = {a, b} and B = {1, 2}. Find A x B.
Q.4) a) If P(x) = 4x2 – 3x +2 and Q(x) = 2x2 + 6x – 7.
Find P(x) + Q(x).
b) If the mid-point of the line joining A (7, b) and B (a, 2) is
(-1, 4) then find the values of a & b .
Or
Find the co-ordinates of point which divides internally the line joining C(-3,-4) and D(2,5) in the ratio 2:3.
c) If
Group -B [8x4=32]
Q.5) A pole stands in a horizontal plane and an angle of elevation of the top of the pole from a point is 45o and the distance between the point and the pole is 45m, find its height.
Q.6) If 5 tan = 4, find the value of
Q.7) Prove:
Q.8) If A = { 1,2,3) and B = { 1, 4, 9} and
R= { {x, y) : y = x2 } , find R .
Q.9) Use synthetic division to find quotient & the remainder if:
4a3 – 3a2 + 2a + 1 is divided by a-1 .
Q.10) Find the ratio and the point at which the line joining
M (2,-4) and N (-3,6) is divided by x-axis .
Or
Prove that the points A(-1,0), B(3,1), C(2,2) and
D(-2,1) are the vertices of a parallelogram.
Q.11) Prove that the points A (2, 3), B (2, 0) & C (-1, 0) are the vertices of an isosceles triangle.
Q.12) If
Best of luck
PABSON, Bhaktapur
Second Terminal Examinations - 2066
Class: VIII Time: 1.30 hrs F.M:50
Subject: Opt.Maths P.M: 20
Group ‘A’ [9x2=18]
Q.1 a) In given right angled triangle ABC, find the ratios of Sec & Cosec .
b) Prove: CosA.
Q.2 a) If Sec = ,find Sin and tan .
b) Find the value of: Sin 900 + Cos600 + Tan 450.
Q.3) a) Find the value of: x and y if (x-2, y-3) = (2, 3).
b) Let R = {(0, 0), (1, 1), (2, 8), (3, 27)} be a relation from A B; find the domain and range of R .
Or
If A = {a, b} and B = {1, 2}. Find A x B.
Q.4) a) If P(x) = 4x2 – 3x +2 and Q(x) = 2x2 + 6x – 7.
Find P(x) + Q(x).
b) If the mid-point of the line joining A (7, b) and B (a, 2) is
(-1, 4) then find the values of a & b .
Or
Find the co-ordinates of point which divides internally the line joining C(-3,-4) and D(2,5) in the ratio 2:3.
c) If
Group -B [8x4=32]
Q.5) A pole stands in a horizontal plane and an angle of elevation of the top of the pole from a point is 45o and the distance between the point and the pole is 45m, find its height.
Q.6) If 5 tan = 4, find the value of
Q.7) Prove:
Q.8) If A = { 1,2,3) and B = { 1, 4, 9} and
R= { {x, y) : y = x2 } , find R .
Q.9) Use synthetic division to find quotient & the remainder if:
4a3 – 3a2 + 2a + 1 is divided by a-1 .
Q.10) Find the ratio and the point at which the line joining
M (2,-4) and N (-3,6) is divided by x-axis .
Or
Prove that the points A(-1,0), B(3,1), C(2,2) and
D(-2,1) are the vertices of a parallelogram.
Q.11) Prove that the points A (2, 3), B (2, 0) & C (-1, 0) are the vertices of an isosceles triangle.
Q.12) If
Best of luck
optional mathmateicsa question collection
Opt. Math
Class:- Eight (8)
Group ‘A’ [9x2=18]
Q.1 a) In given right angled triangle ABC, find the ratios of Sec & Cosec .
A
C
θ
B
b) Prove: CosA.
Q.2 a) If Sec = ,find Sin and tan .
b) Find the value of: Sin 900 + Cos600 + Tan 450.
Q.3) a) Find the value of: x and y if (x-2, y-3) = (2, 3).
b) Let R = {(0, 0), (1, 1), (2, 8), (3, 27)} be a relation from A B; find the domain
and range of R .
Or
If A = {a, b} and B = {1, 2}. Find A x B.
Q.4) a) If P(x) = 4x2 – 3x +2 and Q(x) = 2x2 + 6x – 7. Find P(x) + Q(x).
b) If the mid-point of the line joining A (7, b) and B (a, 2) is (-1, 4) then find the
values of a & b .
Or
Find the co-ordinates of point which divides internally the line joining C(-3,-4) and D(2,5) in the ratio 2:3.
c) If
Group -B [8x4=32]
Q.5) A pole stands in a horizontal plane and makes an angle of elevation of the top of the pole from a point
Is 45o and the distance between a point and the pole is 45m, find its height.
Q.6) If 5 tan = 4, find the value of
Q.7) Prove:
Q.8) If A = { 1,2,3) and B = { 1, 4, 9} and R= { {x,y) : y = x2 } , find R .
Q.9) Use synthetic division to find quotient & the remainder if: 4a3 – 3a2 + 2a + 1 is
divided by a-1 .
Q.10) Find the ratio and the point at which the line joining M(2,-4) and N(-3,6) is divided
by x-axis .
Or
Prove that the points A(-1,0), B(3,1), C(2,2) and D(-2,1) are the vertices of a parallelogram.
Q.11) Prove that the points A (2, 3), B (2, 0) & C (-1, 0) are the vertices of an isosceles
triangle.
Q.12) If
THE END
Class: Eight (8)
Subject: Opt. Math
MARKING SCHEME
Group – A
1.a →
1.b L.H.S = Cos A . SecA + Sin A . Cosec A → 1
= 1 + 1
= 2
= R.H.S proved 1
2.a. Here , Sec = Sec = = h/b
then, P =
= 1 1
Now,
1
b.
3.a. Equating corresponding components ,
x – 2 = 3 1
x = 5
again , y – 3 = 3 1
y = 6
b. Domain = { 0,1,2,3} 1
Range = { 0 , 1, 8, 2 } 1
Or
A x B = { a,b} x { 1,2} 1
= {(a,1), (a,2), (b,1), (b,2)}…………..1
4.a. P(x) + Q(x)
= 4x2 + 3x + 2 + 2x2 + 6x – 7 1
= 6x2 + 3x – 5 1
b. We know ,
-1 =
-2 = 7 + 9 1
-2-7 = 9
a = - 9
again ,
4 =
8 = b + 2
8 – 2 = b 1
b = 6
Or
c.
Group B
5. 1 marks for figure and description 1
Let , AB be a pole , A
C 300 B
45m
6.
7. L.H.S. =
8. AxB = { 1,2,3} x { 1,4,9}
= {(1,1) , (1,4), (1,9) , (2,1) , (2,4) , (2,9) , (3,1) , (3,4) , (3,9) } 2
R = {(1,1) , (2,4) , (3, 9) } 2
9. 4 -3 2 1
4 1 3
4 1 3 4 3
Q(x) = 4x2 + a + 3 &
Remainder = 4
10. O =
O = 6m1 – 4m2 2
4m2 = 6m1 1
m1 : m2 = 2 :3 1
Or,
Mid Point of diagonal AC =
= (½,1) ………………1.5
Mid Point of diagonal BD =
= (1/2,1) ……..………….1.5
Mid point of diag. AC = Mid point of diag.BD.
Hence, ABCD is a parallelogram. Proved. …………..1
11.
12.
The End
Class:- Eight (8)
Group ‘A’ [9x2=18]
Q.1 a) In given right angled triangle ABC, find the ratios of Sec & Cosec .
A
C
θ
B
b) Prove: CosA.
Q.2 a) If Sec = ,find Sin and tan .
b) Find the value of: Sin 900 + Cos600 + Tan 450.
Q.3) a) Find the value of: x and y if (x-2, y-3) = (2, 3).
b) Let R = {(0, 0), (1, 1), (2, 8), (3, 27)} be a relation from A B; find the domain
and range of R .
Or
If A = {a, b} and B = {1, 2}. Find A x B.
Q.4) a) If P(x) = 4x2 – 3x +2 and Q(x) = 2x2 + 6x – 7. Find P(x) + Q(x).
b) If the mid-point of the line joining A (7, b) and B (a, 2) is (-1, 4) then find the
values of a & b .
Or
Find the co-ordinates of point which divides internally the line joining C(-3,-4) and D(2,5) in the ratio 2:3.
c) If
Group -B [8x4=32]
Q.5) A pole stands in a horizontal plane and makes an angle of elevation of the top of the pole from a point
Is 45o and the distance between a point and the pole is 45m, find its height.
Q.6) If 5 tan = 4, find the value of
Q.7) Prove:
Q.8) If A = { 1,2,3) and B = { 1, 4, 9} and R= { {x,y) : y = x2 } , find R .
Q.9) Use synthetic division to find quotient & the remainder if: 4a3 – 3a2 + 2a + 1 is
divided by a-1 .
Q.10) Find the ratio and the point at which the line joining M(2,-4) and N(-3,6) is divided
by x-axis .
Or
Prove that the points A(-1,0), B(3,1), C(2,2) and D(-2,1) are the vertices of a parallelogram.
Q.11) Prove that the points A (2, 3), B (2, 0) & C (-1, 0) are the vertices of an isosceles
triangle.
Q.12) If
THE END
Class: Eight (8)
Subject: Opt. Math
MARKING SCHEME
Group – A
1.a →
1.b L.H.S = Cos A . SecA + Sin A . Cosec A → 1
= 1 + 1
= 2
= R.H.S proved 1
2.a. Here , Sec = Sec = = h/b
then, P =
= 1 1
Now,
1
b.
3.a. Equating corresponding components ,
x – 2 = 3 1
x = 5
again , y – 3 = 3 1
y = 6
b. Domain = { 0,1,2,3} 1
Range = { 0 , 1, 8, 2 } 1
Or
A x B = { a,b} x { 1,2} 1
= {(a,1), (a,2), (b,1), (b,2)}…………..1
4.a. P(x) + Q(x)
= 4x2 + 3x + 2 + 2x2 + 6x – 7 1
= 6x2 + 3x – 5 1
b. We know ,
-1 =
-2 = 7 + 9 1
-2-7 = 9
a = - 9
again ,
4 =
8 = b + 2
8 – 2 = b 1
b = 6
Or
c.
Group B
5. 1 marks for figure and description 1
Let , AB be a pole , A
C 300 B
45m
6.
7. L.H.S. =
8. AxB = { 1,2,3} x { 1,4,9}
= {(1,1) , (1,4), (1,9) , (2,1) , (2,4) , (2,9) , (3,1) , (3,4) , (3,9) } 2
R = {(1,1) , (2,4) , (3, 9) } 2
9. 4 -3 2 1
4 1 3
4 1 3 4 3
Q(x) = 4x2 + a + 3 &
Remainder = 4
10. O =
O = 6m1 – 4m2 2
4m2 = 6m1 1
m1 : m2 = 2 :3 1
Or,
Mid Point of diagonal AC =
= (½,1) ………………1.5
Mid Point of diagonal BD =
= (1/2,1) ……..………….1.5
Mid point of diag. AC = Mid point of diag.BD.
Hence, ABCD is a parallelogram. Proved. …………..1
11.
12.
The End
class eight math question of pabson board question collection
Joint Examination Board
PABSON, Bhaktapur
Second Terminal Examinations - 2066
Class: VIII Time: 3 hrs F.M:100
Subject: Mathamatic P.M: 40
Group"A"(1×8)=8
1. a. Write down the set notation represented by shaded region.
b. Find the value of ‘x’ if AB //CD , < AMN = 2x and
< CNM = 3x.
2. a. “Every fraction is a rational number”. Is it true?
b. Find the ratio of 77 weeks to 35 weeks.
3. a. Find the value of 75% of 8 litres.
b. Find the image of A(-4, 7) when it is reflected in Y-axis.
4. a. Write down a set of first 6 whole numbers.
b. Write down the formula to calculate area of a quadrilateral.
Group"B"(2×18) = 36
5. a. Add : 1435 + 3145 + 1005
b. Find the square root of 2.25
6. a. Divide : a4 + a2b2 + b4 by a2 + ab + b2
b. Simplify :(54/128)-1/3
c. In the given figure,
7. If 20, 100 and y are in continued proportion, find the value of y.
8. a. Factorize : 3a2-5a-8
b. Factorize: x3 – 15x2 + 56x
c. Simplify: (4√6+3√7) (4√6-3√7)
d. Rationalize the denominator: 5√3/(2√7-2√3)
e. Simplify: 4x2-25/ (2x2-x-10)
f. Find median from the given data:
11, 11, 12, 13, 16, 24, 11
9. a. From the adjoining figure, find the value of y.
b. From the adjoining figure, find the measure of
c. In the given figure, MNO and ABC are congruent. Find the value of ‘x’ and ‘y’.
d. In the given figure, MEN ~ DEF, MN//DF, MN=15cm, DF = 25cm, EF = 40cm. Find NF.
e. Find the interior angle of a regular octagon.
f. The length of a rectangular field is 9cm.If the perimeter of the field is 34cm, find its breadth.
Group"C"(4×14) = 56
10. If U = {1, 2, 3, …….10} , A = { 1, 2, 3} , B = { 3, 6, 9}. Prove that (AB)' =A'B'
11. A cubical water task can hold 64 litres of water. Find the length of the tank.
12. Simplify: (xb/xc)1/bc . (xc/xa)1/ca . (xa/xb)1/ab
13. Find the H.C.F : y2-4, y3- 8, y2-5y+6
14. If the angles of a triangle are in the ratio 2:3:5, find the angles.
15. Verify experimentally that base angles of an isosceles triangle are equal. (Three figures are necessary).
16. Two numbers are in the ratio 2:3. If 6 is subtracted to each number the new ratio becomes 17:27, find the numbers.
17. Girish and Shirish can do a piece of work in 8days and 12days respectively. If they work together, in how many days would they finish the work?
18. If 20 men can finish a piece of work in 30 days, how many men should be added to finish the work in 24days?
19. Barma’s monthly income is Rs. 15000. His expenditure is as follows :
a. Food = 40% b. Education = 15% c. Clothing = 20%
d. Miscellaneous = 10%, Find his saving per month.
20. Draw a PQR with vertices P(1,3), Q(4,1) and R(3,5) on a graph paper. Find the co-ordinates of images P', Q' and R' when PQR is rotated through 900 clockwise about the origin. Draw the image on the same graph paper.
21. In the given figure, AB = CD and AB // CD, Prove that AO = DO and CO = BO.
22. In the figure alongside,
23. Calculate the mean from the table given below;
Class interval 0-10 10-20 20-30 30-40 40-50
Frequency 3 8 12 7 2
Best of Luck!
PABSON, Bhaktapur
Second Terminal Examinations - 2066
Class: VIII Time: 3 hrs F.M:100
Subject: Mathamatic P.M: 40
Group"A"(1×8)=8
1. a. Write down the set notation represented by shaded region.
b. Find the value of ‘x’ if AB //CD , < AMN = 2x and
< CNM = 3x.
2. a. “Every fraction is a rational number”. Is it true?
b. Find the ratio of 77 weeks to 35 weeks.
3. a. Find the value of 75% of 8 litres.
b. Find the image of A(-4, 7) when it is reflected in Y-axis.
4. a. Write down a set of first 6 whole numbers.
b. Write down the formula to calculate area of a quadrilateral.
Group"B"(2×18) = 36
5. a. Add : 1435 + 3145 + 1005
b. Find the square root of 2.25
6. a. Divide : a4 + a2b2 + b4 by a2 + ab + b2
b. Simplify :(54/128)-1/3
c. In the given figure,
7. If 20, 100 and y are in continued proportion, find the value of y.
8. a. Factorize : 3a2-5a-8
b. Factorize: x3 – 15x2 + 56x
c. Simplify: (4√6+3√7) (4√6-3√7)
d. Rationalize the denominator: 5√3/(2√7-2√3)
e. Simplify: 4x2-25/ (2x2-x-10)
f. Find median from the given data:
11, 11, 12, 13, 16, 24, 11
9. a. From the adjoining figure, find the value of y.
b. From the adjoining figure, find the measure of
c. In the given figure, MNO and ABC are congruent. Find the value of ‘x’ and ‘y’.
d. In the given figure, MEN ~ DEF, MN//DF, MN=15cm, DF = 25cm, EF = 40cm. Find NF.
e. Find the interior angle of a regular octagon.
f. The length of a rectangular field is 9cm.If the perimeter of the field is 34cm, find its breadth.
Group"C"(4×14) = 56
10. If U = {1, 2, 3, …….10} , A = { 1, 2, 3} , B = { 3, 6, 9}. Prove that (AB)' =A'B'
11. A cubical water task can hold 64 litres of water. Find the length of the tank.
12. Simplify: (xb/xc)1/bc . (xc/xa)1/ca . (xa/xb)1/ab
13. Find the H.C.F : y2-4, y3- 8, y2-5y+6
14. If the angles of a triangle are in the ratio 2:3:5, find the angles.
15. Verify experimentally that base angles of an isosceles triangle are equal. (Three figures are necessary).
16. Two numbers are in the ratio 2:3. If 6 is subtracted to each number the new ratio becomes 17:27, find the numbers.
17. Girish and Shirish can do a piece of work in 8days and 12days respectively. If they work together, in how many days would they finish the work?
18. If 20 men can finish a piece of work in 30 days, how many men should be added to finish the work in 24days?
19. Barma’s monthly income is Rs. 15000. His expenditure is as follows :
a. Food = 40% b. Education = 15% c. Clothing = 20%
d. Miscellaneous = 10%, Find his saving per month.
20. Draw a PQR with vertices P(1,3), Q(4,1) and R(3,5) on a graph paper. Find the co-ordinates of images P', Q' and R' when PQR is rotated through 900 clockwise about the origin. Draw the image on the same graph paper.
21. In the given figure, AB = CD and AB // CD, Prove that AO = DO and CO = BO.
22. In the figure alongside,
23. Calculate the mean from the table given below;
Class interval 0-10 10-20 20-30 30-40 40-50
Frequency 3 8 12 7 2
Best of Luck!
classes math question collection
Joint Examination Board
PABSON, Bhaktapur
Second Terminal Examinations - 2066
Class: V Time: 2.30 hrs. F.M:100
Subject: Mathamatics P.M: 40
Group ‘A’ [10x1=10]
Choose the best alternative
1. The least whole number is
i) 1 ii) 10 iii) 0
2. How many zeros are there in one million?
i) 5 ii) 6 iii) 7
3. The sum of (-5) + (-8) is equal to
i) -13 ii) 13 iii) -3
4. What is the reciprocal of ?
i) ii) iii) 3
5. What is the place value of 2 in 0.623?
i) 2 ii) iii) 200
6. y is added to 5 is
i) 5y ii) iii) y + 5
7. The base in 7 3 is
i) 7 ii) iii) 3
8. The product of 2x and 2 is
i) 2 3 ii) 2 + 2 iii) 4
9. The sum of complementary angles is
i) 60o ii) 90o iii) 180o
10. From the figure alongside a and b are …… angles.
i) corresponding ii) alternate iii) co interior
Group ‘B’ [17x2=34]
11. Write down the greatest number and least number of 5 digits.
12. A man bought a radio for Rs. 2588 and a watch for Rs. 4850, calculate the total cost of two items.
13. Add : 16. 54 + 18.583.
14. Find the product of : 1.7 x 0.8
15. If 1kg = 1000g, how many grams are there in 7.625 kg.?
16. Divide: 143.1 300
17. Find the value of : of 42 kg.
18. Subtract :
19. What should be added to 5xy to get 17xy?
20. If a = 5 and b=2, write the value of (a – b)2.
21. Simplify: 5x2 – x2 + 3x2
22. Add : 3x + 2 and 5x – 3.
23. By how much is 2x – 7y less than 6x + y?
24. Multiply : x(2x2 – 4x + 1)
25. Construct an angle of 75o.
26. If xo and 105o form a linear pair, find the size of xo.
27. Find the value of bo.
Group ‘C’ [14x4=56]
28. The product of two numbers is 1710. If one of the numbers is 38, find the other number.
29. Simplify :
30. A rope is 80.5m. If it is cut into two pieces of lengths 25.25 m and 38.90m, what length of rope is left?
31. The cost of 5 litres of petrol is Rs 260, find the cost of 1 litre and 15 litres of petrol.
32. 20 men complete to construct a building in 45 days how many men are needed to complete the work in 30 days?
33. A shopkeeper bought a television for Rs 7990 and sold it for Rs 8340. How much is his profit or loss?
34. There are 75 students in a class. 40 of them are boys.
i) Find the ratio between the boys and total students.
ii) Find the ratio between the number of girls and the number of boys.
35. Find the perimeter of the adjoining triangle.
36. Simplify: 2a2 – 4a + 7a2 – 2a + 8.
37. If x = 2cm and y = 3cm, find the perimeter of the figure alongside.
38. Simplify : 3(2b – 3) – 2(4 – 3b)
39. Categorise the following angles as acute, right, obtuse, straight reflex etc.
16o, 28o, 92o, 180o, 45o, 230o, 185o, 90o, 60o, 360o, 355o.
40. Find the unknown angle from the following figure.
i) ii)
41. a) If (x + 5)o and 68o are alternate angles, find the value of xo.
b) If yo and 2yo are co-interior angles, find the sizes of yo and 2yo.
Best of Luck !
PABSON, Bhaktapur
Second Terminal Examinations - 2066
Class: V Time: 2.30 hrs. F.M:100
Subject: Mathamatics P.M: 40
Group ‘A’ [10x1=10]
Choose the best alternative
1. The least whole number is
i) 1 ii) 10 iii) 0
2. How many zeros are there in one million?
i) 5 ii) 6 iii) 7
3. The sum of (-5) + (-8) is equal to
i) -13 ii) 13 iii) -3
4. What is the reciprocal of ?
i) ii) iii) 3
5. What is the place value of 2 in 0.623?
i) 2 ii) iii) 200
6. y is added to 5 is
i) 5y ii) iii) y + 5
7. The base in 7 3 is
i) 7 ii) iii) 3
8. The product of 2x and 2 is
i) 2 3 ii) 2 + 2 iii) 4
9. The sum of complementary angles is
i) 60o ii) 90o iii) 180o
10. From the figure alongside a and b are …… angles.
i) corresponding ii) alternate iii) co interior
Group ‘B’ [17x2=34]
11. Write down the greatest number and least number of 5 digits.
12. A man bought a radio for Rs. 2588 and a watch for Rs. 4850, calculate the total cost of two items.
13. Add : 16. 54 + 18.583.
14. Find the product of : 1.7 x 0.8
15. If 1kg = 1000g, how many grams are there in 7.625 kg.?
16. Divide: 143.1 300
17. Find the value of : of 42 kg.
18. Subtract :
19. What should be added to 5xy to get 17xy?
20. If a = 5 and b=2, write the value of (a – b)2.
21. Simplify: 5x2 – x2 + 3x2
22. Add : 3x + 2 and 5x – 3.
23. By how much is 2x – 7y less than 6x + y?
24. Multiply : x(2x2 – 4x + 1)
25. Construct an angle of 75o.
26. If xo and 105o form a linear pair, find the size of xo.
27. Find the value of bo.
Group ‘C’ [14x4=56]
28. The product of two numbers is 1710. If one of the numbers is 38, find the other number.
29. Simplify :
30. A rope is 80.5m. If it is cut into two pieces of lengths 25.25 m and 38.90m, what length of rope is left?
31. The cost of 5 litres of petrol is Rs 260, find the cost of 1 litre and 15 litres of petrol.
32. 20 men complete to construct a building in 45 days how many men are needed to complete the work in 30 days?
33. A shopkeeper bought a television for Rs 7990 and sold it for Rs 8340. How much is his profit or loss?
34. There are 75 students in a class. 40 of them are boys.
i) Find the ratio between the boys and total students.
ii) Find the ratio between the number of girls and the number of boys.
35. Find the perimeter of the adjoining triangle.
36. Simplify: 2a2 – 4a + 7a2 – 2a + 8.
37. If x = 2cm and y = 3cm, find the perimeter of the figure alongside.
38. Simplify : 3(2b – 3) – 2(4 – 3b)
39. Categorise the following angles as acute, right, obtuse, straight reflex etc.
16o, 28o, 92o, 180o, 45o, 230o, 185o, 90o, 60o, 360o, 355o.
40. Find the unknown angle from the following figure.
i) ii)
41. a) If (x + 5)o and 68o are alternate angles, find the value of xo.
b) If yo and 2yo are co-interior angles, find the sizes of yo and 2yo.
Best of Luck !
Math question collection
class 8-math
Group"A"(1×8)=8
1. a. Write down the set notation represented by shaded region.
b. Find the value of ‘x’ if AB //CD , < AMN = 2x and < CNM = 3x.
2. a. “Every fraction is a rational number”. Is it true?
b. Find the ratio of 77 weeks to 35 weeks.
3. a. Find the value of 75% of 8litres.
b. Find the image of A(-4, 7) when it is reflected in Y-axis.
4. a. Write down a set of first 6 whole numbers.
b. Write down the formula to calculate area of a quadrilateral.
Group"B"(2×18) = 36
5. a. Add : 1435 + 3145 + 1005
b. Find the square root of 2.25
6. a. Divide : a4 + a2b2 + b4 by a2 + ab + b2
b. Simplify :(54/128)-1/3
c. In the given figure,
7. If 20, 100 and y are in continued proportion, find the value of y.
8. a. Factorize : 3a2-5a-8
b. Factorize: x3 – 15x2 + 56x
c. Simplify: (4√6+3√7) (4√6-3√7)
d. Rationalize the denominator: 5√3/(2√7-2√3)
e. Simplify: 4x2-25/ (2x2-x-10)
f. Find median from the given data:
11, 11, 12, 13, 16, 24, 11
9. a. From the adjoining figure, find the value of y.
b. From the adjoining figure, find the measure of
c. In the given figure,MNO and ABC are congruent. Find the value of ‘x’ and ‘y’.
d. In the given figure, MEN ~ MN//DF, MN=15cm, DF =
25cm, EF = 40cm. find NF.
e. Find the interior angle of a regular octagon.
f. The length of a rectangular field is 9cm.If the perimeter of the field is
34cm, find its breadth.
Group"C"(4×14) = 56
10. If U = {1, 2, 3, …….10} , A = { 1, 2, 3} , B = { 3, 6, 9}. Prove that (AB)' =A'B'
11. A cubical water task can hold 64l of water. Find the length of the tank.
12. Simplify : (xb/xc)1/bc . (xc/xa)1/ca . (xa/xb)1/ab
13. Find the H.C.F : y2-4, y3- 8, y2-5y+6
14. If the angles of a triangle are in the ratio 2:3:5, find the angles.
15. Verify experimentally that base angles of an isosceles triangle are equal. (Three figures are necessary).
16. Two numbers are in the ratio 2:3. If 6 is subtracted to each number the new ratio becomes 17:27, find the numbers.
17. Girish and Shirish can do a piece of work in 8days and 12days respectively. If they work together, in how many days would they finish the work?
18. If 20 men can finish a piece of work in 30 days, how many men should be added to finish the work in 24days?
19. Barma’s monthly income is Rs. 15000. His expenditure is as follows :
a. Food = 40% b. Education = 15% c. Clothing = 20%
d. Miscellaneous = 10%, Find his saving per month.
20. Draw a PQR with vertices P(1,3), Q(4,1) and R(3,5) on a graph paper. Find the co-ordinates of images P', Q' and R' .When PQR is rotated through 900 clockwise about the origin. Draw the image on the same graph paper.
21. In the given figure, AB = CD and AB // CD , Prove that AD = DO and CO = BO.
22. In the figure alongside,
23. Calculate the mean from the table given below;
Class interval 0-10 10-20 20-30 30-40 40-50
Frequency 3 8 12 7 2
Best of Luck
Group"A"(1×8)=8
1. a. Write down the set notation represented by shaded region.
b. Find the value of ‘x’ if AB //CD , < AMN = 2x and < CNM = 3x.
2. a. “Every fraction is a rational number”. Is it true?
b. Find the ratio of 77 weeks to 35 weeks.
3. a. Find the value of 75% of 8litres.
b. Find the image of A(-4, 7) when it is reflected in Y-axis.
4. a. Write down a set of first 6 whole numbers.
b. Write down the formula to calculate area of a quadrilateral.
Group"B"(2×18) = 36
5. a. Add : 1435 + 3145 + 1005
b. Find the square root of 2.25
6. a. Divide : a4 + a2b2 + b4 by a2 + ab + b2
b. Simplify :(54/128)-1/3
c. In the given figure,
7. If 20, 100 and y are in continued proportion, find the value of y.
8. a. Factorize : 3a2-5a-8
b. Factorize: x3 – 15x2 + 56x
c. Simplify: (4√6+3√7) (4√6-3√7)
d. Rationalize the denominator: 5√3/(2√7-2√3)
e. Simplify: 4x2-25/ (2x2-x-10)
f. Find median from the given data:
11, 11, 12, 13, 16, 24, 11
9. a. From the adjoining figure, find the value of y.
b. From the adjoining figure, find the measure of
c. In the given figure,MNO and ABC are congruent. Find the value of ‘x’ and ‘y’.
d. In the given figure, MEN ~ MN//DF, MN=15cm, DF =
25cm, EF = 40cm. find NF.
e. Find the interior angle of a regular octagon.
f. The length of a rectangular field is 9cm.If the perimeter of the field is
34cm, find its breadth.
Group"C"(4×14) = 56
10. If U = {1, 2, 3, …….10} , A = { 1, 2, 3} , B = { 3, 6, 9}. Prove that (AB)' =A'B'
11. A cubical water task can hold 64l of water. Find the length of the tank.
12. Simplify : (xb/xc)1/bc . (xc/xa)1/ca . (xa/xb)1/ab
13. Find the H.C.F : y2-4, y3- 8, y2-5y+6
14. If the angles of a triangle are in the ratio 2:3:5, find the angles.
15. Verify experimentally that base angles of an isosceles triangle are equal. (Three figures are necessary).
16. Two numbers are in the ratio 2:3. If 6 is subtracted to each number the new ratio becomes 17:27, find the numbers.
17. Girish and Shirish can do a piece of work in 8days and 12days respectively. If they work together, in how many days would they finish the work?
18. If 20 men can finish a piece of work in 30 days, how many men should be added to finish the work in 24days?
19. Barma’s monthly income is Rs. 15000. His expenditure is as follows :
a. Food = 40% b. Education = 15% c. Clothing = 20%
d. Miscellaneous = 10%, Find his saving per month.
20. Draw a PQR with vertices P(1,3), Q(4,1) and R(3,5) on a graph paper. Find the co-ordinates of images P', Q' and R' .When PQR is rotated through 900 clockwise about the origin. Draw the image on the same graph paper.
21. In the given figure, AB = CD and AB // CD , Prove that AD = DO and CO = BO.
22. In the figure alongside,
23. Calculate the mean from the table given below;
Class interval 0-10 10-20 20-30 30-40 40-50
Frequency 3 8 12 7 2
Best of Luck
Joint Examination Board
PABSON, Bhaktapur
Second Term Exam - 2066
Class: IX Time: 3 hrs. F.M: 100
Subject: Opt.Maths P.M: 40
Attempt all the questions
Group A [ (2+2) x 8 = 32]
Q.1 a. If the range of the function f(x) = is 14, find its domain.
b. Arrange the surds , , in ascending order in
magnitude.
Q.2 a. If the polynomials P(x) = x3 + kx2 + 5x+ 6 and
Q(x) = x3 + x2 - rx + 6 are equal, find the value of k and r.
b. Define diagonal matrix with an example.
Q.3 a. If the distance between two points A (a,1) and B( -3, 4) is 5
units, find the value of a.
b. The mid point of the line joining the points, A(3,4) and B(x,y) is ( 2,3), find the coordinates of B.
Q.4 a. From the given figure, find the slope of AB and slope of AC.
b. Find the equation of the line PQ from the figure.
Q.5 a. If 40g is taken from 1000. Find the remainder in circular measure.
b. Prove that: = Sec A - Tan A
Q.6 a. If , find the numerical value of Sec .
b. Prove that:
Q.7 a. Find the value of :
b. The magnitude of is 5 units, find the value of x.
Q.8 a. If find the vector such
that
b. Find the image of P(2,3) under the lines
(a) x = 0 and ( b) x-3=0
Group B [ 17 x 4 = 68]
Q.9 If f(x) = x2 + 4x + 5 then for what value of x , f(x) ¬= f(x+1)?
Q.10 Solve :
Q.11 Simplify: + -
Q.12 Find x, y, z and w if = +
Q.13 If the point P(x,y) is equidistant from the points A (a+b, b-a) and B(a-b, a+b), prove that ay = bx.
Q.14 The line joinig the points (6,9) and (-6, -9) is trisected . Find the coordinates of the points of trisection.
Q.15 Find the equation of the locus of the point which moves so that the sum of the square of its distances from the points (-3, 0) and (3,0) is 9 units.
Q.16 Prove that by geometrically , where the symbols have their ususal meanings.
Q.17 Find the equation of the straight line, which passes through the point (2, -3) and makes an intercept on the y -axis twice as long as that on x - axis.
Q.18 Find the equation of the striaght lines bisecting the co-ordinate axes.
Q.19 One angle of a triangle is of right angle. The difference between remaining two angles is 300, find the angles of a triangle in circular measure.
Q.20 Prove that:
Q.21 If find the value of
Q.22 If find the value of x.
Q.23 The vector from A(1,1) to B(2,4) is such that it equals where C is (2,-1). Find the coordinates of the point D.
Q.24 The vertices of ABC are A(0,2) , B(3,4) and C(-1,3). Find the image of A'B'C' under the reflection line y=2. Also draw on the graph paper.
Q.25 PQR having vertices P(3,2), Q (6,1) and R(3,2) is rotated 270+ about origin. Find the coordinates of P' , Q' and R'. Also draw on the graph paper.
Best of Luck !
Joint Examination Board
PABSON, Bhaktapur
Second Term Exam - 2066
Class: X Time: 3 hrs. F.M: 100
Subject: Opt.Maths P.M: 40
Group A [ (2+2) x 8 = 32]
1. a. If f = {(2,4) , (1,8), (0,0)} and g = {(4,0), (0,5),(8,3)}, show the function gof by an arrow diagram and find it in order pair form.
b. State remainder theorem. When x3 + kx2 + 3x + 4 is divided by x - 2, then the remainder is 18. Find the value of K.
2. a. The AM of two numbers P and 8 is 5, find their geometric mean.
b. If the inverse of the matrix is find the values of m and n.
3. a. Which matrix pre multiplies to the matrix gives (10 16)?
b. If the lines A1x + B1y + C1 =0 and A2x + B2y+ C2= 0 are perpendicular to each other , prove that A1A2 + B1B2 = 0.
4. a. Find the seperate equations represented by the eauation x2 - y2 + 2y - 1 = 0.
b. Find the centre and radius of the circle x2 + y2 - 20y+ 75 = 0.
5. a. Prove that:
b. If , find the value of Sin .
6. a. Prove that: Cos 1050 + Sin 1050 =
b. Solve:
7. a. If and , find the value of p.
b. The position vector of A is and the position vector of B is . If , find the position vector of the point P.
8. a. The translation followed by the translation gives the translation
, what are the values of a and b?
b. If A = , state the transformation represented by A2. Also find the image of point M (2,3) using A2.
Group B (17 x 4 = 68)
9. If f(x) = 4x + 5, g(x) = 3x + k and gf -1(9) = 5, find the value of K.
10. Solve : x3 - 4x2 - 7x + 10 = 0.
11. The product of three numbers of a G.P is 216 and their sum is 19. Find the numbers.
12. Find the maximum value of P = 2x + 3y under constraints , x+y 0 , y 2.
13. Solve by matrix method; x = 2y - 1 and 2x = y.
14. Find the equation of the straight line passing through the mid point of the
segment joining the points A(2,-4) and B( 2,4) and parallel to the line
3x - 2y - 4 = 0.
15. Find the single equation of a pair of straight lines passing through the origin
and perpendicular to the pair of lines represented by x2 - 5 xy + 4y2 = 0.
16. Find the equation of the circle which touches the x-axis at a point (3,0) and
passing through the point (1,2).
17. Prove that:
18. If A+B+C = prove that;
Cos(B+C-A) +Cos(C+A-B) +Cos (A+B-C) = 1 + 4 Cos A. Cos B. Cos C.
19. Solve: Tan A + Tan3A + Tan A.Tan3A =
20. The shadow of a tower on the ground is found to be 45 m longer when the
sun's altitude is 450 than when it is 600. Find the height of the tower.
21. Prove by vector method that the diagonals of a rhombus intersect at right
angle.
22. A triangle with vertices A(1,2) , B(4,-1) and C (2,5) is reflected in the line
x=5 then rotated through 90+ about origin. Find the final image also draw
on the graph paper.
23. Find 2 x 2 transformation matrix which transform the rectangle
in to the unit square.
24. Calculate mean deviation from the median and its coefficient from the given
data.
X: 20 18 16 14 12 10 8 6
f: 2 4 9 18 27 25 14 1
25. Calculate standard deviation from the given data:
Class 0-10 10-20 20-30 30-40 40-50 50-60
Frequency 4 6 10 20 6 4
PABSON, Bhaktapur
Second Term Exam - 2066
Class: IX Time: 3 hrs. F.M: 100
Subject: Opt.Maths P.M: 40
Attempt all the questions
Group A [ (2+2) x 8 = 32]
Q.1 a. If the range of the function f(x) = is 14, find its domain.
b. Arrange the surds , , in ascending order in
magnitude.
Q.2 a. If the polynomials P(x) = x3 + kx2 + 5x+ 6 and
Q(x) = x3 + x2 - rx + 6 are equal, find the value of k and r.
b. Define diagonal matrix with an example.
Q.3 a. If the distance between two points A (a,1) and B( -3, 4) is 5
units, find the value of a.
b. The mid point of the line joining the points, A(3,4) and B(x,y) is ( 2,3), find the coordinates of B.
Q.4 a. From the given figure, find the slope of AB and slope of AC.
b. Find the equation of the line PQ from the figure.
Q.5 a. If 40g is taken from 1000. Find the remainder in circular measure.
b. Prove that: = Sec A - Tan A
Q.6 a. If , find the numerical value of Sec .
b. Prove that:
Q.7 a. Find the value of :
b. The magnitude of is 5 units, find the value of x.
Q.8 a. If find the vector such
that
b. Find the image of P(2,3) under the lines
(a) x = 0 and ( b) x-3=0
Group B [ 17 x 4 = 68]
Q.9 If f(x) = x2 + 4x + 5 then for what value of x , f(x) ¬= f(x+1)?
Q.10 Solve :
Q.11 Simplify: + -
Q.12 Find x, y, z and w if = +
Q.13 If the point P(x,y) is equidistant from the points A (a+b, b-a) and B(a-b, a+b), prove that ay = bx.
Q.14 The line joinig the points (6,9) and (-6, -9) is trisected . Find the coordinates of the points of trisection.
Q.15 Find the equation of the locus of the point which moves so that the sum of the square of its distances from the points (-3, 0) and (3,0) is 9 units.
Q.16 Prove that by geometrically , where the symbols have their ususal meanings.
Q.17 Find the equation of the straight line, which passes through the point (2, -3) and makes an intercept on the y -axis twice as long as that on x - axis.
Q.18 Find the equation of the striaght lines bisecting the co-ordinate axes.
Q.19 One angle of a triangle is of right angle. The difference between remaining two angles is 300, find the angles of a triangle in circular measure.
Q.20 Prove that:
Q.21 If find the value of
Q.22 If find the value of x.
Q.23 The vector from A(1,1) to B(2,4) is such that it equals where C is (2,-1). Find the coordinates of the point D.
Q.24 The vertices of ABC are A(0,2) , B(3,4) and C(-1,3). Find the image of A'B'C' under the reflection line y=2. Also draw on the graph paper.
Q.25 PQR having vertices P(3,2), Q (6,1) and R(3,2) is rotated 270+ about origin. Find the coordinates of P' , Q' and R'. Also draw on the graph paper.
Best of Luck !
Joint Examination Board
PABSON, Bhaktapur
Second Term Exam - 2066
Class: X Time: 3 hrs. F.M: 100
Subject: Opt.Maths P.M: 40
Group A [ (2+2) x 8 = 32]
1. a. If f = {(2,4) , (1,8), (0,0)} and g = {(4,0), (0,5),(8,3)}, show the function gof by an arrow diagram and find it in order pair form.
b. State remainder theorem. When x3 + kx2 + 3x + 4 is divided by x - 2, then the remainder is 18. Find the value of K.
2. a. The AM of two numbers P and 8 is 5, find their geometric mean.
b. If the inverse of the matrix is find the values of m and n.
3. a. Which matrix pre multiplies to the matrix gives (10 16)?
b. If the lines A1x + B1y + C1 =0 and A2x + B2y+ C2= 0 are perpendicular to each other , prove that A1A2 + B1B2 = 0.
4. a. Find the seperate equations represented by the eauation x2 - y2 + 2y - 1 = 0.
b. Find the centre and radius of the circle x2 + y2 - 20y+ 75 = 0.
5. a. Prove that:
b. If , find the value of Sin .
6. a. Prove that: Cos 1050 + Sin 1050 =
b. Solve:
7. a. If and , find the value of p.
b. The position vector of A is and the position vector of B is . If , find the position vector of the point P.
8. a. The translation followed by the translation gives the translation
, what are the values of a and b?
b. If A = , state the transformation represented by A2. Also find the image of point M (2,3) using A2.
Group B (17 x 4 = 68)
9. If f(x) = 4x + 5, g(x) = 3x + k and gf -1(9) = 5, find the value of K.
10. Solve : x3 - 4x2 - 7x + 10 = 0.
11. The product of three numbers of a G.P is 216 and their sum is 19. Find the numbers.
12. Find the maximum value of P = 2x + 3y under constraints , x+y 0 , y 2.
13. Solve by matrix method; x = 2y - 1 and 2x = y.
14. Find the equation of the straight line passing through the mid point of the
segment joining the points A(2,-4) and B( 2,4) and parallel to the line
3x - 2y - 4 = 0.
15. Find the single equation of a pair of straight lines passing through the origin
and perpendicular to the pair of lines represented by x2 - 5 xy + 4y2 = 0.
16. Find the equation of the circle which touches the x-axis at a point (3,0) and
passing through the point (1,2).
17. Prove that:
18. If A+B+C = prove that;
Cos(B+C-A) +Cos(C+A-B) +Cos (A+B-C) = 1 + 4 Cos A. Cos B. Cos C.
19. Solve: Tan A + Tan3A + Tan A.Tan3A =
20. The shadow of a tower on the ground is found to be 45 m longer when the
sun's altitude is 450 than when it is 600. Find the height of the tower.
21. Prove by vector method that the diagonals of a rhombus intersect at right
angle.
22. A triangle with vertices A(1,2) , B(4,-1) and C (2,5) is reflected in the line
x=5 then rotated through 90+ about origin. Find the final image also draw
on the graph paper.
23. Find 2 x 2 transformation matrix which transform the rectangle
in to the unit square.
24. Calculate mean deviation from the median and its coefficient from the given
data.
X: 20 18 16 14 12 10 8 6
f: 2 4 9 18 27 25 14 1
25. Calculate standard deviation from the given data:
Class 0-10 10-20 20-30 30-40 40-50 50-60
Frequency 4 6 10 20 6 4
Health and Population Education class IX
Joint Examination Board
PABSON, Bhaktapur
Second Terminal Examination – 2066
Class: IX Time: 2:15 hrs. F.M: 75
Subject: Health and Population Education P.M: 30
[Candidates are required to write answers in their own words. Credit will be given for creativity and are encouraged for it as well.]
Group ‘A’
Attempt all the questions from this group.
1. Mention any two characteristics of social health.
2. Which is the highest level of human needs according to Maslow?
3. What is the appropriate age of marriage of the girls from the reproductive point of view?
4. What is the number of secondary teachers according to latest report?
5. How many species of reptiles are found in Nepal?
6. When was National parks and wildlife protection act promulgated in Nepal?
7. Write down the full form of IUCN.
8. Give any two examples of land field site waste.
9. When is international consumer’s day celebrated?
10. When was Alma Ata conference held?
Group ‘B’ [13×5=65]
Attempt any 13 questions from this group
11. “An individual who gets health education is aware of the problems of population growth and environment degradation.” Justify the statement. 5
12. Why is population education included in school curriculum? Give reasons and explain them. 5
13. Define ageing. What are the steps taken for elderly care in Nepal? 5
14. “Family life education helps to live a prosperous life.” Explain. 5
15. How does rapid population growth affect the employment opportunity of the people? 5
16. Make a clear chart of contraceptive devices and describe any three natural methods. 2+3
17. Clarify the concept of natural resources. How does it help to uplift the economic status of the country? 1+4
18. Differentiate between Absolute conservation and Relative conservation of natural resources. 5
19. Why is the earth considered as an only living planet? 5
20. What constructive measures do you apply for caring the earth in your locality? 5
21. What are the effects of latrines if they are not properly managed? What should be done to control their effects? Describe in brief. 3+2
22. What would be your steps for the management of solid waste especially in Kathmandu city? 5
23. What rights has the consumer protection Act, 2054 B.S. provided to the consumers? List any five. 5
24. Define safety education. Enlist its any four importances. 1+4
25. What are the required qualities of a first aider? Enlist any six and explain any two of them. 3+2
The End
PABSON, Bhaktapur
Second Terminal Examination – 2066
Class: IX Time: 2:15 hrs. F.M: 75
Subject: Health and Population Education P.M: 30
[Candidates are required to write answers in their own words. Credit will be given for creativity and are encouraged for it as well.]
Group ‘A’
Attempt all the questions from this group.
1. Mention any two characteristics of social health.
2. Which is the highest level of human needs according to Maslow?
3. What is the appropriate age of marriage of the girls from the reproductive point of view?
4. What is the number of secondary teachers according to latest report?
5. How many species of reptiles are found in Nepal?
6. When was National parks and wildlife protection act promulgated in Nepal?
7. Write down the full form of IUCN.
8. Give any two examples of land field site waste.
9. When is international consumer’s day celebrated?
10. When was Alma Ata conference held?
Group ‘B’ [13×5=65]
Attempt any 13 questions from this group
11. “An individual who gets health education is aware of the problems of population growth and environment degradation.” Justify the statement. 5
12. Why is population education included in school curriculum? Give reasons and explain them. 5
13. Define ageing. What are the steps taken for elderly care in Nepal? 5
14. “Family life education helps to live a prosperous life.” Explain. 5
15. How does rapid population growth affect the employment opportunity of the people? 5
16. Make a clear chart of contraceptive devices and describe any three natural methods. 2+3
17. Clarify the concept of natural resources. How does it help to uplift the economic status of the country? 1+4
18. Differentiate between Absolute conservation and Relative conservation of natural resources. 5
19. Why is the earth considered as an only living planet? 5
20. What constructive measures do you apply for caring the earth in your locality? 5
21. What are the effects of latrines if they are not properly managed? What should be done to control their effects? Describe in brief. 3+2
22. What would be your steps for the management of solid waste especially in Kathmandu city? 5
23. What rights has the consumer protection Act, 2054 B.S. provided to the consumers? List any five. 5
24. Define safety education. Enlist its any four importances. 1+4
25. What are the required qualities of a first aider? Enlist any six and explain any two of them. 3+2
The End
Health and Physical Education exam question collection
Joint Examination Board
PABSON, Bhaktapur
Second Term Examination-2066
Time: 1Hr, 30 Mins.
Class: V FM :50
Subject: Health and Physical Education PM: 20
Attempt all the questions
Group-‘A’ (Health Education)
Q.No.1. Answer the following questions: (2×7=14)
a. What is Skin?
b. Write any two functions of our Tongue?
c. How do we know the smell?
d. What will happen if your head collided with any hard things?
e. Name the four diseases caused by bacteria.
f. What is immunity?
g. What are the causes of Tuberculosis? Write any four causes.
Q.No.2. Match the followings: (1×5=5)
A B
i. cancer is a. drug
ii. smoke of Cigarettes b. incurable diseases
iii. drinks c. produce gas in the stomach
iv. heroin is d. destroy cells in the liver
v. Tea and Coffee produces e. is harmful
Q.No.3. Copy the following diagram of the lungs and label the following parts. (6)
a. Right Lung c. Left Lung
b. Trachea d. Bronchus
Q.No.4. Write YES for the true and NO for the false statements.
(1×5=5)
a. Morning is the time when Typhoid fever rises high.
b. Protection of the food from flies is necessary.
c. Chicken-pox is communicable disease.
d. A non-communicable disease passes one person to another very
quickly
e. Rashes appear in the first stage in chicken-pox.
Group – ‘B’
Physical Education
Q.No.1. Answer the following questions:
a. In the game “Boat Man”, how is a new boat man made? (2)
b. What type of animal cries can you make? Write any four. (2)
c. Which popular game do you play generally? Write any four games.
(2)
d. How is the game ‘Biralo Ra Musa’ played? (4)
Q.No.2. Write short notes on any one. (4)
a. Rumal Lukai
b. Boat Man (Majhi Dai)
Q.No.3. Fill in the gaps choosing the correct words given below. (1×6=6)
a. One ……….. is drawn in the centre in the game “Bone and Dog”.
b. ……….. is an imitative game.
c. The game ……….. is played in a broad square play ground.
d. Players make circle in the game ………….
e. The last student who is successful to escape is declared
…………… or………..of the fish.
f. Elementary exercises like jogging, skipping develops ………. .
Physical Fitness Small Circle Rumal Lukai
Boat Man Barking of a Dog King or Queen
PABSON, Bhaktapur
Second Term Examination-2066
Time: 1Hr, 30 Mins.
Class: V FM :50
Subject: Health and Physical Education PM: 20
Attempt all the questions
Group-‘A’ (Health Education)
Q.No.1. Answer the following questions: (2×7=14)
a. What is Skin?
b. Write any two functions of our Tongue?
c. How do we know the smell?
d. What will happen if your head collided with any hard things?
e. Name the four diseases caused by bacteria.
f. What is immunity?
g. What are the causes of Tuberculosis? Write any four causes.
Q.No.2. Match the followings: (1×5=5)
A B
i. cancer is a. drug
ii. smoke of Cigarettes b. incurable diseases
iii. drinks c. produce gas in the stomach
iv. heroin is d. destroy cells in the liver
v. Tea and Coffee produces e. is harmful
Q.No.3. Copy the following diagram of the lungs and label the following parts. (6)
a. Right Lung c. Left Lung
b. Trachea d. Bronchus
Q.No.4. Write YES for the true and NO for the false statements.
(1×5=5)
a. Morning is the time when Typhoid fever rises high.
b. Protection of the food from flies is necessary.
c. Chicken-pox is communicable disease.
d. A non-communicable disease passes one person to another very
quickly
e. Rashes appear in the first stage in chicken-pox.
Group – ‘B’
Physical Education
Q.No.1. Answer the following questions:
a. In the game “Boat Man”, how is a new boat man made? (2)
b. What type of animal cries can you make? Write any four. (2)
c. Which popular game do you play generally? Write any four games.
(2)
d. How is the game ‘Biralo Ra Musa’ played? (4)
Q.No.2. Write short notes on any one. (4)
a. Rumal Lukai
b. Boat Man (Majhi Dai)
Q.No.3. Fill in the gaps choosing the correct words given below. (1×6=6)
a. One ……….. is drawn in the centre in the game “Bone and Dog”.
b. ……….. is an imitative game.
c. The game ……….. is played in a broad square play ground.
d. Players make circle in the game ………….
e. The last student who is successful to escape is declared
…………… or………..of the fish.
f. Elementary exercises like jogging, skipping develops ………. .
Physical Fitness Small Circle Rumal Lukai
Boat Man Barking of a Dog King or Queen
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