Lower Secondary Education Completion Examination - 2071
Class: - 8
Time: - 1.5 hrs. F. M. 50
Sub: - English grammar P. M. 18
Attempt all the questions.
1. Read the passage below and do the activities that follow: - 10
Barack Obama was born in Honolulu in 1951. In his early twenties he found his location working among poor communities on the south side of Chicago. Later he went to law school at Harvard University, where he became the first black president of the Harvard Law Review. In 1995, he published his memoir 'Dreams from my Father', which became a best seller soon after it was reissued in 2004. After returning to Chicago, he was elected to the Illinois state senate in 1996.
Barack Obama delivered the key note address at the 2004 Democratic National Convention, and later year he was elected to the US senate. His second book, 'The Audacity of Hope', was published in 2006 and became an immediate best seller. In November 2008, senator Obama was elected the 44th president of the USA. He is married to Michelle, with whom he has two daughters Sasha and Malia.
A. Answer the following questions: - 5
i) Where did Barack Obama spend his time in his early twenties?
ii) What did he publish in 1995?
iii) When was he elected to the US senate?
iv) When was he elected the 44th president of United States of America?
v) How many family members are there in his family? Who are they?
B. Match the words or phrases in column A with their information in column B. 5
A B
i) Honolulu at Democratic National Convention
ii) In 1996 daughters
iii) Keynote address motherland
iv) First black president Illinois State Senate
v) Sasha and Malia of the Harvard Law Review
2. Add a question tag to each of the following sentences: - 4
a) You should do your work sincerely, …………….?
b) She talked with the Education Minister yesterday, ………………?
c) He has to complete the task in time, ………………..?
d) Don't tease the dog…….? e) Someone has stolen my purse, ……?
f) Have a cup of tea,……? g) Let's start a new business, ……?
h) I am a doctor, ………………..?
3. Rewrite the following sentences selecting the correct words from the brackets: -
a) I made my father ………. some new clothes. (buy, to buy, bought)
b) Jivan will have his hair …………. (dye, dyed, to dye)
c) Gita got her sister... breakfast for her. (prepare, to prepare, prepared)
d) Anita made Anil …………. his clothes. (iron, to iron, ironed)
e) I had my nails ………….. (trim, to trim, trimmed)
f) Did you get your photograph ……. in the morning? (take, took, taken)
g) He let his workers ……….. the bridge. (build, to build, built)
h) My son got me ………. hat for him. (buy, to buy, bought)
4. Join the following pair of sentences with appropriate relative clauses:8
a) The house is completely damaged by earthquake. The house was built by my father.
b) Sarita lost the calculator. She bought it yesterday.
c) Domukha is a beautiful place. We went for a picnic there last year.
d) The boy wrote this story. He is talking with our English teacher.
e) The boy gave me pass for show. I met the boy at the gate.
f) Punam went back to the place. She wanted to settle down there.
g) My mother saw the child running after a bus. The child was in a red cap.
h) The flower bouquet is on the table. You gave the bouquet to him.
5. Choose the correct form of the verb to complete the following sentences: - 8
a) If you get up early, you …………………….... the early bus.
(will catch, may catch, would catch)
b) If you heat iron, it ……………… (expands, will expand, expand)
c) If you find a black wallet in your room , please ………………………
(return, will return, would return)
d) If Manju had an alarm clock, she ………………………. up early in morning. (can get, could get, will get)
e) Had I known the answer, I ……………… you long ago.
(will tell, would tell, would have told)
f) I would have already left the office if it …………………….. heavily.
(will have rained, wouldn't rain, wouldn't have rained)
g) Unless you stop teasing me, I ……………… to my father.
(complain, will complain, would complain)
h) If you freeze water, it ……… into ice. (changes, change, will change)
6. Change the following sentences as indicated in the brackets: 6
a) We had food early in the morning. (negative)
b) He does not like to watch this movie, either. (affirmative)
c) Does she have to clear the bill by tomorrow? (statement)
d) He has been searching job since last January. (yes / no question)
e) They used to grow apples in their farm. (negative)
f) Jyoti does not like sharing her feelings. (affirmative)
7. Write an essay on the topic ''Tourism in Nepal'' in 200 words. 5
8. Write a letter to the editor of 'The Rising Nepal' alarming him the danger of rapid population growth in Nepal. 5 Best of Luck.
Best of Luck.
Lower Secondary Education Completion Examination - 2071
Class: - 8
Time: - 3 hrs. F. M. 50
Sub: - Optional Mathematics P. M. 18
Attempt all the questions.
Group - 'A' [1 x 8 = 8]
1. (a) Convert the angle 10015'10'' into sexagesimal seconds.
(b) If tan A = , find the value of cos A.
2. (a) Factorise: sin6Ѳ + cos6Ѳ.
(b) Find the value of : sin 450 + cos 450 + tan 450
3. (a) A building casts a shadow 80 metres long when the angle of elevation of the sun is 300. Find the height of the building.
(b) If (2x, x + y) = (y, 9) , find the value of x and y.
4. (a) If A = {a, b, c} and B = {7, 8, 9}, find A x B and B x A.
(b) Simplify: + -
Group - 'B' [18 x 2 = 36]
5. (a) Find the distance between A (m, 2m) and B (4m, 6m).
(b) Find the co - ordinates of the point which divides the line segment joining the points (8, 9) and (-7, 4) internally in the ratio 2:3.
(c) Find the equation of the locus of a moving point so that its distance from a fixed point (2, 3) is always 5 units.
6. (a) If P (-8, 2) and Q (-3, -8) are the two given points, find out the vector and its magnitude.
(b) If = , = and = , find out + 3 - 4.
7. (a) The sum of two angles is 90g and their differences is 90. Find the angles in degrees.
(b) Simplify:
(c) Prove that: cos A cosec A = 1
8. (a) If = 4, find the value of .
(b) Find the value of: cos 600 + sin 300 - tan 450
(c) In a right angled triangle PQR, ∡ QPR = 600 and PQ = 4 cm, find the remaining parts of the triangle.
(d) A man 1.75 m tall is 50 m away from a tower 51.75 m high. What is the angle of elevation of the top of the tower from his eyes?
(e) If the function f is given by f(x) = x2, find
9. (a) Find the degree of the polynomials: 7x2 + 8x2y + 2x3y3 + 18
(b) Subtract the polynomial m(x) = 7x3 + 8x + 2 from the polynomial
n(x) = 2x3 - x2 + x - 4.
(c) Rationalise the denominator of :
(d) If the distance between the two points A (a, 2a) and B (4, 3) is
units, find the co - ordinates of A.
(e) Find the co - ordinates of the point P lying on the line joining A (2,3) and B (6, -11) if y co - ordinates of P is -3.
Group - 'C' [14 x 4 = 56]
10. If the angles of a quadrilateral are in the ratio 1:2:3:4, find the angles in grades.
11. Prove that: a) cos4Ѳ - sin4Ѳ + 1 = 2 cos2Ѳ
b) - = -
12. If 4 cos2 A + 4 sin A - 5 = 0, prove that sin A =
13. From the top of a hill the angles of depression of the top and the foot of a tower are 300 and 450 respectively. If the height of the hill is 100m, find the height of the tower.
14. If A = {1, 3, 4, 5} and B = {1, 2, 3}, construct the Cartesian product
A x B and find out the following relations: -
i) is less than ii) is greater than iii) is not equal to
iv) is the square of
15. If p(x) = x2 + x - 7 and q(x) = 2x + 3, find p(x).q(x) and its degrees.
16. Simplify:
17. If a point (x, y) is equidistant from the points (a + b, a + b) and
(a - b, a - b), prove that x + y = 2a.
18. If the points (2, 7), (-3, 3) and (5, 1) are the vertices of a triangle, find the length of the median drawn through the first vertex.
19. Find the equation of a line whose Y - intercept is 3 and the inclination with positive X - axis is 600.
20. If A (1, 1), B (2, 4), M (2, -1) and N (3, 2), prove that = .
21. If = and = , find ..
22. Find the value of m if and are perpendicular to each other where = 3 + 7 and = m + 3 .
Best of Luck.