**CBSE CCE NCERT**

**Class X, Mathematics**

*(Practice Paper-1 / Guess Paper-1)***Formative Assessment - III (FA-3)**

**Time: 1 ½ Hours**

**M.M.: 40**

1. (i) Write the general form of a quadratic equation in standard form.

(ii) If 6x

^{2}– x – 1 = 0 then x = . . . . . .?(iii) The n

^{th}term of an AP: a, a+d, a+2d, . . . . . . . is t_{n}= . . . .(iv) In AP: a, a+d, a+2d, . . . . . l, the P

^{th}term from the end = . . . .(v) Find the sum of the AP: 4, 9, 14, . . . . . . . 89.

(vi) Find the distance between the points (3,4) and (6, –3).

(vii) Angle of elevation = . . . . . .

(viii) Write the equation of x-axis = ?

(ix) Abscissa of any point on the y-axis is . . . . . .

(x) Which term of the AP: 2.9, 3.2, 3.5, 3.8, . . . . is 8 ?

2. The product of two consecutive positive integers is 306. We need to find the integers.

3. A train travels 360 km at a uniform speed if the speed had been 5 km/hr more, it would have taken 1 hr less for the same journey. Find the speed of the train.

4. How many three digit numbers are divisible by 7 ?

5. Find the point on the x-axis which is equidistant from (2, –5) and (–2, 9).

6. Prove that the tangents drawn at the ends of a diameter of a circle are parallel.

7. A quadrilateral ABCD is drawn to circumscribe a circle. Prove that

AB + CD = AD + BC

8. Draw a triangle ABC with side BC = 6 cm AB = 5 cm and

__/__ABC = 60^{O}, then construct a triangle whose sides are ¾ of the corresponding sides of the triangle ABC.9. Find the area of the quadrilateral whose vertices are taken in order (–4, –2), (–3, –5), (3, –2) and (2, 3).

10. A 1.5 m tall boy is standing at some distance from a 30 m tall building. The angle of elevation from his eyes to the top of the building. Increase from 30

^{O}to 60^{O}as the he moves towards the building. Find the distance he walked towards the building.11. (a) The altitude of a right triangle is 7 cm less than the base. If the hypotenuse is 13 cm, find the other two sides.

(b) How many multiples of 4 lie between 10 and 250 ?

++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++

++++++++++++

## No comments:

Write comments