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ICSE Class IX Question Bank 2023 : Mathematics

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Shri Vile Parle Kelavani Mandal s C.N.M SCHOOL & N.D PAREKH PRE-PRIMARY SCHOOL REVISION WORKSHEET 3(2023-24) CLASS MATHEMATICS IX Topic: Trigonometry, Simple 2D in right angled triangle, Graphical representation of Data, Statistics, , Circles, Pythagoras theorem, Coordinate geometry (I) Solve the following: (1) If Sin = 3 5 , find tan Sin Cos (2) If 5 Cos - 12 sin = 0; evaluate , without using tables. 2 Cos Sin (3) If Cos 3 = 0 and is acute, find the value of Cos 2 . (4) Find , if 00 < 900: 2sin 2 cos2 450 tan 2 450 (5) From the figure given below, find the values of: (i) 5 sin x (ii) 7 tan x (iii) 5 cos x 17 sin y tan x A y 25 17 15 x B D C (6) If cot = 0.75, find sin and tan . 2 (7) Find the value of 2 tan 2 300.tan 450 tan 2 600 STD-IX Mathematics Revision worksheet Page 1 of 3 (8) Taking A = 300, verify that: cos4 A sin4 A = cos2A (9) If is acute and sin 5 = cos 4 , find the value of . (10) The mean of 6, 8, x + 2, 10, 2x - 1, and 2 is 9. Find the value of x and also the value of the observation in the data. (11) Construct a frequency polygon for the following distribution: Class intervals 0 5 5 10 10 15 Frequency 5 6 3 15 20 2 (12) A ladder is placed against a vertical tower. If the ladder makes an angle of 300 with the ground and reaches upto a height of 20 m of the tower, find the length of the ladder. (13) In the given figure , If OA = 5cm, AB = 8 cm and OD is perpendicular to AB, Then CD is equal to : (14) In the following figure, a circle is given with centre O. AOC = 1200 and AB = BC. Find the values of , and . A C B ( 15) Plot the points A(-4,4), B(-6,0), C(-4,-4), D(-2,0).Write the name of the figure you get and find the area of it. STD-IX Mathematics Revision worksheet Page 2 of 3 (16) Solve graphically: x + y = 6 ; 3x + y = 2 (17) Show that A(0,7) ; B(4,3) ; C(6 ,5) form the vertices of aright angled triangle. (18) In ABC, BAC = 90 = APB. BC = 85 cm, AC = 75 cm and BP = 32 cm. Find x and y. (19) Find the value of cos2 18 + cos2 36 + cos2 54 + cos2 72 + cos2 90 (II) Choose the correct option: 1. ( 3,0) lies on (a) x -axis (b) y -axis (c) II quadrant (d) III quadrant 2. The distance of (2, 6) from x -axis is ( a) 2 units ( b) 2 units (c) 6 units (d) 6 units 3. If the sides of a rectangular plot are 15 m and 8m, then the length of its diagonal is (a) 17 m (b) 23m (c) 21m (d) 17cm 4. When a eucalyptus tree is broken by a strong wind, its top strikes the ground at an angle of 300 to the ground and at a distance of 15m foot. What is the height of the tree? (a) 15m (b) 10 3 (c) 20m (d) 10m 5. Assertion: The value of sin600 cos300 + sin300 cos600 is 1 Reason: sin900 = 1 and cos900=0 STD-IX Mathematics Revision worksheet Page 3 of 3 (a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A). (b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A). (c) Assertion (A) is true but reason (R) is false. (d) Assertion (A) is false but reason (R) is true. STD-IX Mathematics Revision worksheet Page 4 of 3

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