Joint Examination Board
PABSON, Bhaktapur
Second Terminal Examinations - 2066
Class: VIII Time: 1.30 hrs F.M:50
Subject: Population Education P.M: 20
Attempt all the questions
Group A
Short answer questions: 10×2=20
Q.No.1. Write any four effects on environment caused by human activities. 0.5×4=2
Q.No.2. Write any four causes of environmental degradation. 0.5×4=2
Q.No.3. Define Migration. Name the types of migration.
1+1=2
Q.No.4. Define birth and death. 1+1=2
Q.No.5. Name the world cultural heritages of Nepal.
0.25×8=2
Q.No.6. Why are National parks and Wildlife Reserves established? Give any four reasons. 2
Q.No.7. Enlist the causes of deforestation. Write Any four points. 2
Q.No.8. What are the major causes of population decrease? (Any four points) 0.25×4=2
Q.No.9. How does population growth affect the health services? 2
Q.No.10. What are the factors that have an adverse effect on the quality of life? 2
GROUP B
Long answer questions:
Q.No.1. People from village prefer to migrate to town. Justify. 5
Q.No.2. Calculate TFR with the help of the following information: 5
Age group 15-19 20-24 25-29 30-34 35-39 40-45 45-49
ASFR/
Thousand 1996 115 219 340 135 164 105 60
Q.No.3. What are the major causes of population growth? Describe any two in detail. 5
Q.No.4. How can you control pollution? 5
Q.No.5. What steps are to be taken to protect our cultural heritages? Explain. 5
Q.No.6. Describe the factors required for quality of life. 5
Best of Luck !
Wednesday, July 28, 2010
science
Physics
Q No. 1) Define fundamental unit. Write SI unit of density and current. (1+1)
Q No.2) Define Relative motion. Write the formula of acceleration and velocity. (1+1)
Q No.3) Winding roads are mode in hills. Why? Classify sea saw and shovel.(1+1)
Q No.4) Write two differences between barometer and pressure gauze. (2)
Q No. 5) What do you mean by power? Write one different between potential and kinetic energy.(2)
Q No.6) What type of energy is possessed in the following action? (2)
a) Leg lifted to kick ball
b) Burning matchstick
c) Ringing bell
d) Bread
Q No.7) What effects is seen in kinetic energy possessed by body when its velocity is tripled? Show mathematically. (2)
Q No.8) What are the temperatures of the boiling and freezing water in Fahrenheit and Centigrade scale in sea level? (2)
Q No.9) Kink is made in clinical thermometer, Why? (2)
Q No.10) Define refraction of light. Write one use of concave mirror. (2)
Q No.11) Write any two differences between converging mirror & diverging mirror. (2)
Q No.12) Study the given figure and answer the followings.(2)
i) Name AB & BC.
ii) Which one rarer & which is denser medium?
Q No.13) Write energy conversion by Radio and microphone. Ram lifts a weight of 50 kg to a height of 10m in 2m. Shyam lifts the same weight to same height in 3 minutes. By how much power of Ram is greater than that of Shyam? (2+3)
Q No. 14) What types of images are formed by a concave mirror when an object is placed
i) between C and F
ii) between F and P
Also write one nature of image in each (2.5+2.5)
Chemistry
Q No.15) Write molecular formula of Calcium carbonate and magnesium chloride by criss-cross method (2)
Q No.16) Name the methods of separation for following mixtures (2)
a) Rice and husk
b) Alcohol and water
c) Cream from butter
d) Red ink & black ink
Q No.17) Write two differences between Acid & Base (2)
Q No.18) Name any two alkalis. Make a table to show indicator tests for Acid & base. The indicators used are Red & blue litmus, methyl orange and phenolphthalein. (1+4)
Biology
Q No.19) Define National Park. Name any two national parks of Nepal. (2)
Q No.20) Define cross pollination. Give an example of complete and incomplete flower each. (1+1)
Q No.21) Classify the pine with one major characteristics.
Q No.22) Write two differences between pollination and fertilization.)2)
Q No.23) Draw a labeled diagram of mustard flower.(2)
Q No.24) Define hermaphrodite. Give two examples.(2)
Q No.25) Why are arthropods found abundant in environment?(2)
Q No.26) Write two differences between silverfish and starfish. Write the name of phylum of liver fluke and Unio with one major character.(2+3)
Geology & Astronomy
Q No. 27) Classify the following rocks. (2)
a. Obsidian
b. Limestone
c. Slate
d. Graphite
Q No. 28) Plutonic rocks are hard in nature, Why? Write one example of such rock. (1.5+0.5)
Q No. 29) Which layer of atmosphere is also called protective Shield? Why? (0.5+1.5)
Q No.30) Write two differences between exosphere and stratosphere. Draw a neat labeled diagram of different layers of atmosphere. (2+3)
The End
Q No. 1) Define fundamental unit. Write SI unit of density and current. (1+1)
Q No.2) Define Relative motion. Write the formula of acceleration and velocity. (1+1)
Q No.3) Winding roads are mode in hills. Why? Classify sea saw and shovel.(1+1)
Q No.4) Write two differences between barometer and pressure gauze. (2)
Q No. 5) What do you mean by power? Write one different between potential and kinetic energy.(2)
Q No.6) What type of energy is possessed in the following action? (2)
a) Leg lifted to kick ball
b) Burning matchstick
c) Ringing bell
d) Bread
Q No.7) What effects is seen in kinetic energy possessed by body when its velocity is tripled? Show mathematically. (2)
Q No.8) What are the temperatures of the boiling and freezing water in Fahrenheit and Centigrade scale in sea level? (2)
Q No.9) Kink is made in clinical thermometer, Why? (2)
Q No.10) Define refraction of light. Write one use of concave mirror. (2)
Q No.11) Write any two differences between converging mirror & diverging mirror. (2)
Q No.12) Study the given figure and answer the followings.(2)
i) Name AB & BC.
ii) Which one rarer & which is denser medium?
Q No.13) Write energy conversion by Radio and microphone. Ram lifts a weight of 50 kg to a height of 10m in 2m. Shyam lifts the same weight to same height in 3 minutes. By how much power of Ram is greater than that of Shyam? (2+3)
Q No. 14) What types of images are formed by a concave mirror when an object is placed
i) between C and F
ii) between F and P
Also write one nature of image in each (2.5+2.5)
Chemistry
Q No.15) Write molecular formula of Calcium carbonate and magnesium chloride by criss-cross method (2)
Q No.16) Name the methods of separation for following mixtures (2)
a) Rice and husk
b) Alcohol and water
c) Cream from butter
d) Red ink & black ink
Q No.17) Write two differences between Acid & Base (2)
Q No.18) Name any two alkalis. Make a table to show indicator tests for Acid & base. The indicators used are Red & blue litmus, methyl orange and phenolphthalein. (1+4)
Biology
Q No.19) Define National Park. Name any two national parks of Nepal. (2)
Q No.20) Define cross pollination. Give an example of complete and incomplete flower each. (1+1)
Q No.21) Classify the pine with one major characteristics.
Q No.22) Write two differences between pollination and fertilization.)2)
Q No.23) Draw a labeled diagram of mustard flower.(2)
Q No.24) Define hermaphrodite. Give two examples.(2)
Q No.25) Why are arthropods found abundant in environment?(2)
Q No.26) Write two differences between silverfish and starfish. Write the name of phylum of liver fluke and Unio with one major character.(2+3)
Geology & Astronomy
Q No. 27) Classify the following rocks. (2)
a. Obsidian
b. Limestone
c. Slate
d. Graphite
Q No. 28) Plutonic rocks are hard in nature, Why? Write one example of such rock. (1.5+0.5)
Q No. 29) Which layer of atmosphere is also called protective Shield? Why? (0.5+1.5)
Q No.30) Write two differences between exosphere and stratosphere. Draw a neat labeled diagram of different layers of atmosphere. (2+3)
The End
Population health and environment
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.
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.
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!
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