
	Trending ▼ ICSE CBSE 10th ISC CBSE 12th CTET GATE UGC NET Vestibulares ResFinder

ICSE Class X Board Exam 2026 : Physics

7 pages, 0 questions, 0 questions with responses, 0 total responses,

	Smita Singh	+Fave Message
	Profile Timeline Uploads

Home > devansh21387398 >

Formatting page ...

ICSE Class 10 Maths Prelims Question Paper 2026 uestion Q Number Questions Marks ection A S (Attempt all questions from this Section) 1 hoose one correct answer to the questions from the given C options: Do not copy the questions, write the answers only (i) The solution of the given inequality 2x 5 5x + 4 < 11, where x I (a) {1,2,3, } (b) { 3, 2, 1, 0, 1} (c) { 3, 2, 1} (d) {0,1,2,3,4} ( ii) The volume of a conical tent is 462 m and the area of the base is 154 m . The height of the conical tent is __________ (a) 9.5 cm (b) 9 cm (c) 12 cm (d) 3 cm ( iii) If the straight lines are 3x 5y = 7 and 4x + ay + 9 = 0 are perpendicular to one another, then the value of a is __________ (a) 4 (b) 3/5 (c) 5/3 (d) 12/5 ( iv) Assertion Mr Sharma has a Recurring Deposit with a monthly deposit of 500 for 4 years at 10% p.a. The amount received at maturity is 4900. eason The amount at the time of maturity is P + I R (a) Both Assertion and Reason are true (b) Both Assertion and Reason are false (c) Assertion is true and Reason is false (d) Assertion is false and Reason is true ( v) A man invests 9600 on 100 shares at 80. If the company pays him 18% dividend, his total dividend is __________ (a) 120 (b) 1200 (c) 2160 (d) 960 (vi) The quadratic equation 2x 5 x + 1 = 0 has __________ (a) Two distinct real roots (15) ( b) two equal real roots (c) no real roots (d) more than two real roots ( vii) If 2b 8;9 a+b2b 8 ; 9 a + b2b 8;9 a+b = 6 8;9 86 8 ; 9 86 8;9 8 then the value of a is __________ (a) 5 (b) 11 (c) 8 (d) 9 ( viii) (v) 3a + 2b : 5a + 3b = 18 : 29. a : b = __________ (a) 3 : 4 (b) 4 : 3 (c) 1 : 4 (d) 4 : 1 (ix) The median class for the given distribution is: Class interval Frequency 0 10 10 20 20 30 30 40 2 4 3 5 ( a) 0 10 (b) 10 20 (c) 20 30 (d) 30 40 ( x) If the angle of depression of an object from a 75 m high tower is 30 , then the distance of the object from the tower is __________ (a) 25 3 m (b) 50 3 m (c) 75 3 m (d) 150 m ( xi) The CGST paid by a customer to the shopkeeper for an article which is priced 1200 is 36. The rate of GST charged is __________ (a) 12% (b) 6% (c) 3% (d) 9% ( xii) If the probability of an event is p, then the probability of its complementary event will be __________ (a) p 1 (b) p (c) 1 p (d) 1 1/p (xiii) I n the above figure, RPQ is a tangent to the circle at point P. AB is a chord parallel RPQ. ssertion (A): APR = BPQ A Reason (R): APR and BPQ are angles in alternate segments. ( a) Assertion (A) is true, Reason (R) is false (b) Assertion (A) is false, Reason (R) is true (c) Both Assertion (A) and Reason (R) are true (d) Both Assertion (A) and Reason (R) are false ( xiv) A model of a ship is made to a scale of 1 : 250. The area of the deck of the ship is __________ if the area of the deck of the model is 2.4 m . (a) 15 km (b) 0.15 km (c) 600 m (d) 6 km ( xv) The value of k if x 2 is a factor of x + 2x kx + 10 is __________ ( a) 9 (b) 10 (c) 13 (d) 13 2 ( i) Show that P (3, m 5) is a point of trisection of the line segment joining the points A (4, 2) and B (1, 4). Hence, find the value of m. ( ii) Use graph paper to answer the given questions: (a) Plot the points A (4, 6) and B (1, 2) (b) A is the image of A when reflected in the X axis. (c) B is the image of B when B is reflected in the line AA . (d) Give the geometrical name for the figure ABA B . [4] [5] (e) Find the area of the figure ABA B . [4] ( iii) From a solid cylinder of height is 36 cm and radius 14 cm, a conical cavity of height 24 cm and radius 7 cm is drilled out. Find the volume and total surface area of the remaining solid. 3 ( i) If (x 2) is a factor of 2x x px 2. (a) Find the value of p (b) Factorise the given expression completely. [4] ( ii) In the given figure, O is the centre of the circle. DAE = 70 . [4] Find, giving suitable reasons, the measure of: [4] ( a) BCD (b) BOD (c) OBD (d) BAD (iii) The 4 term of an A.P. is 22 and the 15 term is 66. Find the first term and the common difference. Find the A.P. Hence find the sum of the series to 8 terms. (Section B) (Attempt any four questions) 4 ( i) Solve the given inequation and represent the solution set on the number line. 3 + x 8x/3 + 2 14/3 + 2x, where x I [3] ( ii) A bag contains 5 white balls, 6 red balls and 9 green balls. A [3] ball is drawn at random from the bag. Find the probability that t he ball drawn is: (a) green ball (b) a white or red ball (c) Is neither a green ball nor a white ball ( iii) Find the amount of bill for the following intra state transaction of goods/services: Product A MRP (in ) 5 B C [4] D 10000 6000 7200 8500 Discount % 20 30 20 40 GST % 18 12 12 18 ( i) As observed from the top of a 100 meter high lighthouse, the angle of depression of two ships on opposite sides of it are 48 [5] and 36 respectively. Find the distance between the 2 ships to the nearest metre. ( ii) (a) Using the step deviation method, calculate the mean marks of the following distribution. (b) State the modal class. 6 Class 5 0 interval 5 5 5 5 6 0 0 6 6 5 5 6 7 0 0 7 7 5 75 80 80 8 8 5 9 5 0 requen 5 F cy 20 10 10 9 6 12 8 (i) The daily wage of 80 workers in a project are given below: Wages in 00 4 45 0 o. of N 2 workers [5] 50 4 50 0 00 5 55 0 50 5 60 0 00 6 65 0 50 6 70 0 00 7 75 0 6 12 18 24 13 5 se a graph paper to draw an ogive for the above distribution U and estimate: (a) The median wage of the workers (b) The lower quartile wage of workers [3] (c) The number of workers who earn more than 625 daily ( ii) Five years ago, a woman s age was the square of her son s age. Ten years later her age will be twice that of her son s age. Find: (a) The age of the son five years ago (b) The present age of the woman (iii) Shyam opened a recurring deposit account in a bank. He deposited 2500 per month for two years. At the time of maturity he got 67,500. Find: (a) the total interest earned by Shyam (b) the rate of interest per annum [3] 7 [4] [3] ( i) The first term of a G.P. is 1. The sum of its third and fifth terms is 90. Find the common ratio of the G.P. [3] [3] ( ii) The coordinates of the vertex A of a square ABCD are (1, 2) and the equation of the diagonal BD is x + 2y = 10. Find the equation of the other diagonal and the coordinates of the point of intersection of the two diagonals. [3] [3] ( iii) A mathematics aptitude test of 50 students was recorded as [4] follows: Marks o. of N students 50 60 60 70 70 80 80 90 90 100 6 12 10 16 6 raw a histogram for the above data using a graph paper and D hence locate the mode. 8 ( i) Construct a ABC with BC = 5.8 cm, AB = 5.4 cm and ABC [3] = 120 . Construct its circumcircle. Measure and record its radius. ( ii) Given that (x + 3xy ) / (y + 3x y) = 63 / 62. Find the value of x / y. [3] ( iii) A vessel in the form of an inverted cone is filled with water to the brim. Its height is equal to 20 cm and diameter is 16.8 cm. Two equal solid cones are dropped in it so that they are [4] f ully submerged. As a result, 1/3 of the water in the original cone overflows. What is the volume of each of the solid cones submerged? 9 ( i) Construct a triangle ABC in which ABC = 75 , AB = 5 cm and BC = 6.4 cm. Draw perpendicular bisector of side BC and also the bisector of ACB. If these points intersect each other at Point P, prove that P is equidistant from B and C; and also from AC and BC. ( ii) Ravi invested rupees 8000 in 7%, 100 shares at 80. After a year he sold these shares at 75 each and invested the proceeds (including the dividend) in 18%, 25 shares at 41. Find: (a) His dividend for the first year (b) His annual income in the second year (c) The percentage increase in his return on his original i nvestment. [4] [3] [3] ( iii) Solve the given quadratic equation correct to two significant figures. x 18/x = 6, x 0 10 ( i) A = 4 2;6 34 2 ; 6 34 2;6 3, B = 02;1 10 2 ; 1 102;1 1 and C = 23; 1 1 2 3 ; 1 1 23; 1 1 [3] Find A A + BC ( ii) In the above figure, ABC and CEF are two triangles where BA is parallel to CE and AF : AC is equal to 5 : 8. (a) Prove that ADF ~ CEF. (b) Find AD if CE = 6 cm. (c) If DF is parallel to BC, find A( ADF) : A( ABC) [3] (iii) Prove that [4] ((1 + sin A)/(1 sin A)) ((1 sin A)/(1 + sin A)) = 2 tan A

Formatting page ...

Related ResPapers
ICSE Class X Board Exam 2020 : Physics
by coolsroy_mdp

ICSE Class X Board Exam 2025 : Physics
by abcd3236

ICSE Class X Board Specimen 2025 : Physics
by anany19

ICSE Class X Board Exam 2026 : Physics
by abirsengupta

Formatting page ...

devansh21387398 chat

Horizontal lines at:
Guest Horizontal lines at:
AutoRM Data:
Box geometries: