First Terminal Examination 2073
Class: 10 F.M. 100
Time: 3 hrs. Subject: Compulsory Mathematics P.M. 32
Attempt all the questions.
Group 'A'
9*(2+2)
1. Find the LCM of: a) 12a4 – 27a2b2 and 2a2 – ab – 3b2
b) a4 + a2 + 1 and a2 + a + 1
2. Find the HCF of: a) 5a3 – 20a and a3 – 3a2 – 10a
b) 2x3 + 16 and x2 + 4x + 4
3. Simplify: a) b)
4. Solve: a) 2x+3 + 2x = 36 b) 3x + 3x+2 =
5. Simplify: a) b)
6. Rationalize: a) b)
7. a) Solve:
b) Find the area of (shown in the figure).
8. In the given Venn-diagram along-side if n(P)=20, n(Q)=10 and n(U) =30. Find,
a)
b)
9. a) If A, B and C are disjoint sets and n(A)=2n(B)=3n(C)=60, then find n(AUBUC).
b) Find the area of an equilateral triangle of perimeter 36 cm.
Group 'B'
16*4
10. 32 teachers in a school like either milk or curd or both. The ratio of number of
teachers who like milk to those who like curd is 3:2 and 8 teachers like both milk
and curd.
a) Find the number of teachers who like milk
b) Find the number of teachers who like curd only
c) Represent the above information in Venn-diagram
11. In a group of students, 34 study Mathematics, 40 study Biology, 24 study Physics,
8 study Mathematics only, 14 study Biology only, 6 study Biology and Physics only
and 12 study Mathematics and Biology only. Find,
a) How many study all three subjects?
b) How many students where there in the group?
12. The ratio of sides of a triangle is 3:4:5 and its perimeter is 24 cm. Find the area of
the triangle.
13. Find the area of:
14. Find the LCM of: (a – b)2 + 4ab and (a + b)3 – 3ab(a+b)
15. Find the HCF of: x2 + 4x – 21 and x3 + 7x2 – 9x – 63
16. Simplify:
17. Simplify: 18. Solve:
19. Solve: 3x+1 + 2y+1 = 7, 3x + 2y – 1 = 2
20. Simplify: 21. Simplify:
22. Simplify: 23. Simplify:
24. Solve:
25. Solve:
-O-