Rising Nepal Secondary Boarding School

First Terminal Examination 2074

Class: 8 F.M. 50

Time: 2 hrs. Subject: Mathematics P.M. 16

Group 'A'

2x12

  1. Factorize: x2(x + 1) + y2(x + 1)
  2. Factorize:
  3. What must be added to the middle term of x2 + ………… + 49 to make it a perfect square?
  4. Factorize: 4x2 – 8x + 3
  5. Use formula of (a + b)3 or (a – b)3 to find the cube of: (2x + 3y)
  6. Find the HCF of: a3b and ab3
  7. Find the LCM of: 2xy and 4y2
  8. Find the expanded form of: (5x + 3y)3
  9. If A = {1, 3, 5, 7, 9, 11, 13, 15} and B = {5, 7, 9, 11, 15, 17, 19} find the following sets: a) b)
  10. Find the value of x in .
  11. Find the quantity of the following whose 25% is Rs. 3000.
  12. What should be added to both numbers of the ratio 2:3 to make it 5:6?

Group 'B'

4x9

  1. In a class of 200 students, 90 students play football, 130 students play cricket, 40 students liked both the games. Find the number of students who do not like any games. Also, illustrate the above information in a Venn-diagram.
  2. Two numbers are in the ratio of 5:7. If 10 is added to both numerator and denominator, the new ratio becomes 3:4. Find the two numbers.
  3. Factorize x2 – xy – 6y2
  4. If , find the value of .
  5. Find the HCF of a2 + 8a + 15, a2 + 5a + 6 and a2 + 7a + 12.
  6. Find the L.C.M. of y2+6y+8, y2+7y+10 and y2+9y+20
  7. Simplify: (a + 2b)3 – (a – 2b)3 20. Factorize: x3 + 6x2 + 5x

21. In a school of 480 students, 312 are girls. Find the percentage of boys in the school.

-O-

Rising Nepal Secondary Boarding School

First Terminal Examination 2074

Class: 8 F.M. 50

Time: 2 hrs. Subject: Mathematics P.M. 16

Group 'A'

2x12

  1. Factorize: x2(x + 1) + y2(x + 1)
  2. Factorize:
  3. What must be added to the middle term of x2 + ………… + 49 to make it a perfect square?
  4. Factorize: 4x2 – 8x + 3
  5. Use formula of (a + b)3 or (a – b)3 to find the cube of: (2x + 3y)
  6. Find the HCF of: a3b and ab3
  7. Find the LCM of: 2xy and 4y2
  8. Find the expanded form of: (5x + 3y)3
  9. If A = {1, 3, 5, 7, 9, 11, 13, 15} and B = {5, 7, 9, 11, 15, 17, 19} find the following sets: a) b)
  10. Find the value of x in .
  11. Find the quantity of the following whose 25% is Rs. 3000.
  12. What should be added to both numbers of the ratio 2:3 to make it 5:6?

Group 'B'

4x9

  1. In a class of 200 students, 90 students play football, 130 students play cricket, 40 students liked both the games. Find the number of students who do not like any games. Also, illustrate the above information in a Venn-diagram.
  2. Two numbers are in the ratio of 5:7. If 10 is added to both numerator and denominator, the new ratio becomes 3:4. Find the two numbers.
  3. Factorize x2 – xy – 6y2
  4. If , find the value of .
  5. Find the HCF of a2 + 8a + 15, a2 + 5a + 6 and a2 + 7a + 12.
  6. Find the L.C.M. of y2+6y+8, y2+7y+10 and y2+9y+20
  7. Simplify: (a + 2b)3 – (a – 2b)3 20. Factorize: x3 + 6x2 + 5x

21. In a school of 480 students, 312 are girls. Find the percentage of boys in the school.

-O-