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Science & Math for K6 - K12 Students

Exercises-I,II &III
Exercise-I
1. Simplify
 Sol: Grid form is

2. Simplify
 Sol: Grid form is

3. Simplify
 Sol: Grid form is

4. The value of y is 18 and the value of x is 8. Find the value of is
 Sol:

5. Find the value of
 Sol: The value of = 0.888..... The answer can be filled in grid in form in the following 3 ways You should record the answer as or 0.888 or 0.889 The grid in form is

6. If p > q and p2 – 2pq + q2 = 289. Find the value of p – q
 Sol: (p – q)2 = p2 – 2pq + q2 (p – q)2 = 289 p – q = p – q = 17 Grid in form is

7.
In the given figure xy = yz and xz = yx. If xy = 2.8cm what is the area of the sector? what is the angle of the sector?
 Sol: xy : yz : xz xy : xy : xy 1 : 1 : When the angles are in the ratio 1 : 1 : the angles are 45° , 45° and 90° The angle of sector is 360 – 45 = 315° Grid form of area of sector Grid form of angle of sector

8. If (x , y) = x2 + y2. If f(15 , y) = 625. what is the positive value of y
 Sol: f(x , y) = x2 + y2 f(15 , y) = 152 + y2 152 + y2 = 625 y2 = 625 – 225 = 400 = = 20 Grid form of y = 20 is

9.
In the given figure Δ AD and CE intersect at 'O'. = 4x° , = 50. Find the value of x
 Sol: In Δ ABD = 90° = 180 – (90 + 50) = 40 In Δ BEC = 180 4x + 90 + 40 = 180 4x = 180 – 130 x = = 12.5° Grid form of 12.5°

10. If f(x) = x2 + 7x + 10 then find f(2) + f(3)
 Sol: f(2) = (2)2 + 7(3) + 10 = 4 + 21 + 10 = 35 f(3) = (3)2 + 7(3) + 10 = 9 + 21 + 10 = 40 f(2) + f(3) = 35 + 40 = 75 Grid in form is

11. If 3x + 4y = 25 , x – 4y = – 13 , what is the value of 100x + 99y?
 Sol: 3x + 4y = 25 3 × 3 + 4y = 25 4y = 16 y = 4 x = 3 100x + 99y = 100 × 3 + 99 × 4 = 300 + 396 = 696 Grid form is

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