NCERT Math Guess Paper-1 | Class 10, CBSE (CCE) Formative Assessment-III (F 3)

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 6x² – 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 ?         

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