R.N.S.B.S.
Second Terminal Examination 2074
Class: 7 Sub:- Opt. Maths F.M.: 50
Time : 2 hrs. P.M.: 16
Attempt all the questions.
Group ‘A’ [2x10= 20]
1. Find the value of ‘a’ and ‘b’ if: () = (5, -3)
2. If A= {2, 3} and B= {5, 6, 7}, find AxB, BxA and AxA. Represent them in mapping diagram.
3. Express the following polynomials in the standard form: 4x- 7x2 +x3+8
4. For the following polynomials, find f(x)+h(x).
f(x)=x3-7x2+3x+4, h(x)= 2x3- x2 +3x- 8
5. If A= , find a23, a33, a13, a32.
6. If A= and B= , find 2A-3B.
7. Find the vector and its magnitude in the following case: A(2, 7) and B(-2,4).
8. If = and are two vectors prove that unit vectors along and are equal.
9. Find the arithmetic mean of the following data.
60, 68, 42, 70, 71, 63, 64, 68, 40
10. Calculate the median from the following data.
12, 14, 6, 9, 10, 4, 8, 17, 12, 13
Group ‘B’ [ 3x10= 30 ]
11. If A= {3, 5, 6} and B= {3,5}, find the following relation from A to B.
a. The first element is not equal to the second element.
b. The first element is greater than the second element.
12. Find the product of : f(x)= (2x+3) and g(x)= x3-3
13. Find the quotient and the remainder when f(x) is divided by d(x) and verify the relation between divided, divisor, quotient and remainder.
f(x)= 3x3- 10x2+ 3x- 5 and d(x)= x-3
14. Find the values of x, y and z.
- =
15. If A= and B= , prove that, A+B = B+A
16. If the vectors and are equal, find the values of x and y.
a. = (2x+3, y+2) and = (7, 2x+4)
17. Find vectors and in the following case and prove that = .
a. P(2, 5), Q(0, 2), R(-2, 4) and S(-4, 1)
18. Calculate the arithmetic mean of the following data:
Marks | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 |
No. of sts. | 10 | 12 | 14 | 6 | 3 |
19. Calculate the median from the following data.
Incomes | 200 | 210 | 220 | 230 | 240 | 250 |
No. of family | 5 | 8 | 12 | 10 | 6 | 3 |
20. Calculate the mode of the following data.
Height (cm) | 142 | 144 | 145 | 147 | 148 |
No. of Sts. | 4 | 8 | 12 | 9 | 3 |
The End