Page 1 :
©, , NUVOCO PUBLIC SCHOOL, GOPALNAGAR, NATIONAL ACHIVEMENT SURVEY - 2021, , Class : X Time : 60 Minutes, , Subject : MATHEMATICS Date : MM : 20 Marks, , , , 1. When 50 is subtracted from 50% of a number, result is 50. The number is, , (A) 300 (B) 400, (C) 200 (BD) 1000, 2. What is the name of ratio of circumference of the circle and twice of radius?, (A) Diameter (B) Radius, (C) Chord (D) Pi (7), , 3. A, B and C can individually complete a task in 24 days, 16 days and 32 days respectively., If A and C start the work and worked for 6 days and left. then the number of days required by, B to complete the remaining task, is:, , (A)9 (B) 10, , (C) 114 (D)12, , 4. The height of cone and cylinder and the radius of their base are same, then find the ratio, of volume of cone & cylinder., , (A) 3:1 (B) 1:2, , (C) 1:3 (D) 2:1, , 5. At any time, the height of a tower is equal to it’s shadow, then find the elevation angle of, the sum., (A) 30 (B) 45, (C) 60 (D) 90, , 6. From follawing which are Pythagorean triplet., (A) (5, 13, 12) (B) (4, 5, 6), (C) (10, 20, 30) (D) (30, 60, 90), , 7. What is the distance between origin and a point in first quadrant, whose distance from, both the axis is 4unit., , (A) 22 (B) 3V2, (C) 4v2 (D) None of these, , 8. Angle of semi circle should be, , (A) 90° (B) 60°, (C) 45° (D) 30°

Page 2 :
9. Which property is shown in the equation given below?, 12(x + 4) = 12x + 48, , (A) Associative Property of Addition, (B) Commutative Property of Addition, (C) Distributive Property, , (D) None of these, , 10. In a Lake there is a Patch of Lily Pads. Every Day, the Patch Doubles in Size. If Takes 48, Days For the Patch to Cover the Entire Lake, How Many Days Would It Take For Patch to, Cover Half Of the Lake ?, , (A) 48 (B) 96, (C) 47 (D) none of these, 11. Apole 6 m high cast a shadow 2v3m long on the ground, the sun's elevation is:, (A) 60° (B) 45°, (C) 30° (D) 90°, , 12. Find the value of cos60° +sin30°, , (A)1 (B)2, (C)3 (D)4, , 13.Find the number of triangles in given figure., , (A)11 (B)12, (C)13 (D)14, , , , , , , , 14. Find the 10" term of series 9,5,1,3,..............., , (A) -27 (B) 27 (C) 25 (D) -21, , 15. If the last term of the series 27, 24, 21, .... Is zero then find the total no. of terms., (A) 10 (B) 20 (C) 15 (D)5, , 16. Find the distance between the point (3, 4) and (1, 2)., , (A) 22 (B) 32 (C) 42 (D) None of these

Page 3 :
17. The radius of a circle is 7 cm, Find area of the sector of this circle if the corresponding, angle is 30°., , (A) 12.83 cm? (B) 11,83 cm?, {C) 10,63 cm? (D) None of these., , 18, Five years hence, father's age will be three times the age of his son. Five years ago,, father was seven times as old as his son. Find their present ages., , {A) 40 years & 10 years (B) 30 years & 20 years, (C) 50 years & 20 years (D) None of these., , 19. Find the minimum number of straight lines required to make the given figure., , , , (A) 13 (B)15 (C)17 (D) 19, , 20. Which one of the four diagrams given below represents school, teachers and students?, , , , (A) 1 (B)2 (C)3 (D)4