Mock Test math 2024.
Class - X Time - 3 hrs 15 min. Full marks - 90
1. Choose the correct option: 1 x 6 = 6
I) If principal become twice as it's amount in 10 yrs , the rate of simple interest per annum is -
a. 5% b.10 % c. 15 % d. 20 %
ii) If the roots of the equation 3 x² + 8 x + 2 = 0 be p and q , then ( 1/p + 1/q ) is -
a. -3/8. b. 2/3. c. -4 d. 4
iii) If the radius of two circles is 3 cm and 4 cm and the distance between their centres is 10 cm then the number of common tangent is -
a. 0 b. 2 c . 3. d. 4
iv) If the ratio of curved surfaces of two solid spheres is 16 : 9 , then the ratio of their volumes is -
a. 64 : 27 b. 4 : 3 c. 27 : 64 d. 3 : 4
v) The value of ( sin 43º cos 47 º + cos 43 º sin 47 ⁰ )
a. 0. b. 1 c. sin 4⁰ d. cos 4 º
vi) If the mean of the numbers 6 ,7 , 8, x, y, 14 is 9 then -
a. x + y = 21. b. x + y = 19 c. x -y = 21 d. x -y = 19
Fill in the blanks( any five): 1 x 5 = 5
i) If A invests Rs 500 for 9 months and B invests Rs 600 for 5 months in a business then the ratio of their profits is --------------.
ii) If x is proportional to y the x ⁿ ∝ ----------.
iii) The angle in a semi-circle is a --------------.
iv) If the angle of elevation of sun is 45 º ,then the length of shadow and length of post are ----------.
v) Mean ,median and mode are the measure of ---------------.
vi) The number of surfaces of a solid hemisphere is ----------.
3. Write true or false (any five): 1 x 5 = 5
i) On a certain sum for one year the simple and compound interest are the same if interest is calculated annually .
ii) Conjugate of √5 + 2 is √5 - 2
iii) The volume of a solid hemisphere of radius 2 r is 2/3 π r³
iv) The number of common tangent of two circles when they meet externally is 3.
v) The reciprocal of tan (90º - A) is cot A.
vi) Mode is the value of a data having minimum frequency.
