BEST ASSIGNEMENT FOR SOLVING ON BASIC MATH BASED ON NEET

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LAKSHYA NEET 2025
Basic Mathematics Assignment-01
By: M.R. Sir


1. Find value of given mathematical expression. 7. Find value of m in given expression:

e − 2m + 2 − 2m
(i) (ii) 3° =3
2m
1 6
(iii) (iv)
0.001 0.3
8. Find value of 0.25 × 0.49 × (0.2)2
0
(v) 0.49 (vi) e

(vii) 1 − 0.19
9. Which of the following formula is wrong.
(1) sin 2 = 2 sin  . cos 
2. Find the ratio of area of cross section of cylinders to (2) cos (2) = cos2 – sin2
the volume of cylinder of radius R and height H.  
(3) sin  = 2sin cos
2 2
3. Find area of equilateral triangle of side ‘a’.  
(4) cos  = sin 2 − cos2
2 2
4. Find the ratio of volume of cube to surface area of
cube of side length a. 10. Find distance between centre to corner of equilateral
triangle of side a.
5. Find area of given graph
11. Volume of cone of height H and radius R.

12. Find value of different trigonometric ratio
(i) sin (–45°) (ii) cos (405°)
(iii) sin (390°) (iv) sin (300)
(v) tan (–120°)
6. Find value of given expression.
5 −6 13. If cos () = 0.3 and  is an acute angle, what is the
5 5
(i)     value of sin ()?
7 7 (1) 0.7 (2) 0.9
3/2
 64  (3) 0.6 (4) 0.4
(ii)  
 81 
14. If tan () = 1.2 and  is an acute angle, what is the
(iii) (4 + 4−1 )  22
value of cos ()?
(−4)5 (1) 0.5 (2) 0.6
(iv)
(−4)8 (3) 0.8 (4) 0.9

( 4)
−3
(v) 15. If sin () = 0.6 and cos () = 0.8, where  and  are
0.4 acute angles, what is the value of sin ( + )?
(vi)
0.01 (1) 0.28 (2) 0.48
(3) 0.96 (4) 1.88

, 2


16. In a right triangle, the length of the hypotenuse is (iii) 0.49 = 700 10− x
10 cm and one of the acute angles is 30°. What is
the length of the side opposite to the 30° angle? (iv) 1 − x = 33/2
0.125
(1) 5 cm (2) 5 3 cm (v) = e
(1/ x)
(3) 10 cm (4) 10 3 cm
6
(vi) = 5.(2 x )
0.3
17. If tan () = 1.5, where 0° <  < 90°, find the value x
153  162  13  3
of sec (). (vii) = (9) 2
18  17  117
(1) 0.67 (2) 1.800
(4 x + 4−1 )  22 125
(3) 0.56 (4) 1.500 (viii) =  10−2
10 5
18. If a triangle ABC, the side AB is 8 cm, side BC is
8 cm, and side AC is 8 2 cm. What is the measure
(ix)
of angle C?
(1) 30° (2) 45°
(3) 60° (4) 90°

19. Given that cot () = 0.5, where 0° <  < 90°, find the
value of sin () – cos (). (x)
(1) 0.6 (2) 0.4
(3) 0.8 (4) 1.0

1 3
20. If cos () = and cos () = , where 0° < ,
2 2
24. Length of Rod 20m divided in the ratio 1 : 3 : 5 then
 < 90°, find the value of sin ( + ). find length of bigger part.
(1) 0.58 (2) 0.72
(3) 1.85 (4) 0.96
25. Spring of length L and spring constant K divided
into length ratio 3 : 2 then find their spring (K  1/l)
21. In a right triangle, the hypotenuse is 13 cm and one
of the acute angles is 60°. What is the length of the
26. Current and Voltage
side adjacent to the 60° angle?
(A) I = sin (t – /4) (i) Current lay
(1) 6.5 cm (2) 6.5 3 cm
V = cos (t – 3/4) voltage by 2/3
(3) 7 cm (4) 7 3 cm
(B) I = sin (t + /6) (ii) Voltage leads by
V = cos (t + /3) current by /6
22. If cos () = 0.5, find the value of cos ( – ).
(1) –0.5 (2) –0.4 (C) I = sin (t – /6) (iii) Current leads by
(3) 0.4 (4) 0.5 V = cos (t + /6) voltage /3
(D) I = sin (t + 2/3) (iv) Voltage is in
23. Find value of x for following expression: V = cos (t – /6) phase of current
1
(i) = 10− x
0.001
(ii) 3x = 1