Model questions
for SA-1 (MATHS)

1. Factorize: 4x

^{2}+ 24xy +9y^{2}
2. Factorize: 25a

^{2}-16y^{2}
3. Factorize: 7m

^{2}-m
4. Convert into decimal form and state
the type of the expansion

a. 39/5

b. 17/5

5. If m + 1/m = 2 , find m

^{2}+ 1/ m^{2}
6. If
n - 1/n = 3, find n

^{2}+ 1/ n^{2}
7. The perimeter of an equilateral
triangle is 24, find the area of the triangle using Heron’s formula.

8. Plot the points on the graph: (2,-3),
(-5,7), (-4,-4), (0,3), (-6,0)

9. Find the value: 25

^{-1/2}x 5 x 25^{3/2}
10.
Find the value: 7

^{2}x 343^{-1/3}x 49^{3/2 }
1 11.
Simplify:

__(____√____5 -____√____7 ) (____√____7 +____√____5)__
9 - 2√2

12.
Simplify:

__(____√____7 -____√____9 ) (____√____9 +____√____7 )__
7 - 2√5

13.
Say
the quadrant: (4,6), (-3,6) , (-2,-10)

14.
Write
the complimentary angle of : a. 55

^{0}, b. 75^{0}c. 33^{0}
15.
O is the mid point of AB, M is the mid point
of AO, what will be the relation between length of AM and AB, also prove it.

16.
State
and prove any one criteria of congruence of two triangles.

17. Expand: (a) (3x+4y)

^{3}(b) (√3m – n )^{3}
18.
Factorize: m

^{2}+ 9n^{2}+ 25p^{2}+ 6mn + 30np +10pm Also find the value when m=1,n=3 and p=-1