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

ICSE Class X Sample / Model Paper 2026 : Mathematics

8 pages, 10 questions, 0 questions with responses, 0 total responses,

	Sumita Giri	+Fave Message
	Profile Timeline Uploads

Home > ohiogyattrizzler79 >

Formatting page ...

ICSE 10th Mathematics Sample Paper 16 Page 1 Sample Paper 16 2025 ICSE Class X 2024-25 MATHEMATICS Time: 2 Hours Max. Marks: 80 General Instructions: 1. Answer to this Paper must be written on the paper provided separately. 2. You will not be allowed to write during first 15 minutes. 3. This time is to be spent in reading the question paper. 4. The time given at the head of this Paper is the time allowed for writing the answers. 5. Attempt all questions from Section A and any four questions from Section B. 6. All working, including rough work, must be clearly shown, and must be done on the same sheet as the rest of the answer. 7. Omission of essential working will result in loss of marks. 8. The intended marks for questions or parts of questions are given in brackets [ ]. 9. Mathematical tables are provided. SECTION-A (Attempt all questions from this Section.) QUESTION 1. Choose the correct answers to the questions from the given options. (Do not copy the questions, write the correct answer only.) (i) The point which divides the line segment joining the points (8, - 9) and (2, 3) in the ratio 1 : 2 internally lies in the (a) I quadrant (b) II quadrant (c) III quadrant (d) IV quadrant x x (ii) If 2 - 5 # 3 - 4 and x is a natural odd number, then the solution set of x is: (a) { 6, 4, 2} (b) {6, 4, 2, 2, 4, 6) (c) {0, 1, 3, 5} (d) {1, 3, 5} (iii) If a is a natural number and one of the roots of the equation 3x2 14x + 8 = 0 , then the value of a is: (a) 4 (b) 2/3 (c) 8 (d) 6 (iv) If a : b = 3 : 2 , then ^a + b h2 : ^a b h2 is: (a) 9 : 4 (b) 1 : 25 (c) 25 : 1 (d) 4 : 9 Continue on next page..... Install NODIA App to See the Solutions. Click Here To Install Page 2 Sample Paper 16 NODIA (v) If the sum of remainders obtained on dividing x 3 + ^kx + 8h x + k by x + 1 and x - 2 is 1, then the value of k is: (a) 2 (b) 1 (c) 1 (d) 2 (vi) Assertion : If A and B are square matrices of order 2, then AB = BA is not always true. Reason : Matrix multiplication is associative. (a) Both assertion and reason are correct and reason is the correct explanation of assertion. (b) Bot assertion and reason are correct but reason is not the correct explanation of assertion. (c) Assertion is correct but reason is incorrect. (d) Assertion is incorrect but reason is correct. (vii) If the common difference of an AP is 5, then what is a18 - a13 ? (a) 5 (b) 20 (c) 25 (d) 30 (viii) A box contains 20 cards from 1 to 20. A card is drawn at random from the box. Statement 1 : The probability that the number on the drawn card is divisible by 2 or 3, is Statement 1 : The probability that the number on the drawn card is a prime number, is 1 10 1 10 . . (a) Both the statement are true. (b) Both the statement are false. (c) Statement 1 is true and statement 2 is false. (d) Statement 1 is false and statement 2 is true. (ix) Sachin buys 1120 shares at `52 per share and gets dividend of `1456 then rate of return is : (a) 1.5% (b) 5% (c) 2.5% (d) 2% (x) Vimla had a recurring deposit account in ICICI bank and deposited `1000 per month for 2 2 years. If the 1 rate of interest was 10% p.a., then the matured value of this account is: (a) `32,775 (b) `33,875 (c) `23,775 (d) `34,975 (xi) In the given figure, P and Q are points on the sides AB and AC respectively of a triangle ABC . PQ is parallel to BC and divides the triangle ABC into 2 parts, equal in area. The ratio of PA : AB = Install NODIA App to See the Solutions. Click Here To Install ICSE 10th Mathematics Sample Paper 16 (b) ( 2 - 1) : (a) 1 : 1 (c) 1 : Page 3 2 2 (d) ( 2 - 1) : 1 (xii) In the given figure AB is a chord of the circle such that +ACB = 50c. If AT is tangent to the circle at point A, then +BAT is a equal to (a) 65 (b) 60 (c) 50 (d) 40 (xiii) From a solid circular cylinder with height 10 cm and radius of the base 6 cm, a right circular cone of the same height and same base is removed, then the volume of remaining solid is (a) 280 cm3 (b) 330 cm3 (c) 240 cm3 (d) 440 cm3 (xiv) If TABC is right angled at C , then the value ofcos ^A + B h is (a) 0 (b) 1 (c) 1 (d) 2 3 2 (xv) In the given figure if sides PQ, QR, RS and SP of a quadrilateral PQRS touch a circle at point A, B, C and D respectively, then PD + BQ is equal to (a) PQ (b) QR (c) PS (d) SR QUESTION 2. (i) A solid is in the shape of a hemisphere of radius 7 cm, surmounted by a cone of height 4 cm. The solid is immersed completely in a cylindrical container filled with water to a certain height. If the radius of the cylinder is 14 cm, find the rise in the water level. Install NODIA App to See the Solutions. Click Here To Install Page 4 Sample Paper 16 NODIA (ii) Mr Rohit saves ` 20 daily and deposit ` 600 monthly in his R.D. account in S.B.P. for 3 years. If the rate of interest is r % per annum, then he can get ` 24430.50 on maturity. Find the value of r . (iii) Prove that : ^sin A + sec Ah2 + ^cos A + cosec Ah2 = ^1 + sec A cosec Ah2 QUESTION 3. (i) ` 100 shares of a company are sold at 15 % discount. If the return on investment is 20 %, find the rate of dividend declared. (ii) ABC is a triangle with AB = 10 cm, BC = 8 cm and AC = 6 cm (not down to scale). Three circles are drawn touching each other with the vertices s as their centres. Find the radii of the three circles. (iii) The daily wages of 80 workers in project are given below : Wages (in Rs) Number of workers 400-450 2 450-500 6 500-550 12 550-600 18 600-650 24 650-700 13 700-750 5 Use a graph paper to draw an ogive for the above distribution. Install NODIA App to See the Solutions. Click Here To Install ICSE 10th Mathematics Sample Paper 16 Page 5 (Use a scale of 2 cm = Rs. 50 on x-axis and 2 cm = 10 wokers on y-axis). Use your ogive to estimate : (a) The median wage of the workers. (b) The lower quartile wage of workers. (c) The number of workers who earn more than Rs. 625 daily. SECTION-B (Attempt any four questions.) QUESTION 4. (i) If A = =2 - 2G and B = =3 4G , compute AB and BA. What conclusions can you draw? 5 -5 3 4 (ii) Construct a TABC in which base BC = 6 cm, AB = 5.5 cm and +ABC = 120c. (a) Construct a circle circumscribing the TABC . (b) Draw a cyclic quadrilateral ABCD so that D is equidistant from B and C . (iii) In the given figure, AB and DE are perpendicular to BC . (a) Prove that TABC + TDEC . (b) If AB = 6 cm, DE = 4 cm and AC = 15 cm, then calculate CD . (c) Find the ratio of the area of TABC |area of TDEC . QUESTION 5. (i) Calculate the mean of the following frequency distribution : Class 10-30 30-50 50-70 70-90 90-110 Frequency 15 18 25 10 2 Continue on next page..... Install NODIA App to See the Solutions. Click Here To Install Page 6 Sample Paper 16 NODIA (ii) Jatin bought a Desktop Computer and other computer accessories from Satyam Computers, Delhi as given below : S. No. Item Price Rate of GST Discount (a) Desktop `40000 18% `4000 (b) Mouse `800 18% - (c) Key Board `2400 18% `600 (d) Pen Drive `900 18% - Find the : (a) Total GST paid. (b) Total bill amount including GST. (iii) In TPQR , PQ = 24 cm, QR = 7 cm and +PQR = 90c. Find the radius of the inscribed circle QUESTION 6. (i) If a, b, c are in A.P. as well in GP., prove thata = b = c . (ii) A sum of Rs. 1890 is to be used to given seven cash prizes to students of a school for their overall academic performance. If each prize is Rs. 50 less than its preceding prize, find the value of each of the prizes. (iii) For the following frequency distribution draw a histogram. Class 0-5 5-10 10-15 15-20 20-25 25-30 Frequency 2 7 18 10 8 5 Hence, calculate the mode. QUESTION 7. (i) A line AB meets x -axis at A and y -axis at B , P (4, - 1) divides AB in the ratio 1 | 2 . (a) Find the coordinates of A and B . (b) Find the equation of the line through P and perpendicular to AB . Install NODIA App to See the Solutions. Click Here To Install ICSE 10th Mathematics Sample Paper 16 Page 7 (ii) The angle of elevation to the top of the Egyptian pyramid of Cheops is 30c measured from a point 50 meter from the base of the pyramid. The angle of elevation from the base of a face of the pyramid is 60c . (i) Find the height of the Cheops pyramid. (ii) Find the side of base of pyramid. QUESTION 8. (i) If x d Z , solve the in equation 3 + 5x 1 3x 5 # 4x + 1 . Also, represent its solution set on a number line. (ii) In the figure given below, AD is a diameter and O is the centre of the circle. AD is parallel to BC and +CBD = 32c. Find (a) +OBD (b) +AOB (c) +BED Continue on next page..... Install NODIA App to See the Solutions. Click Here To Install Page 8 Sample Paper 16 NODIA (iii) Prove that the points ( 2, 1), (1, 0), (4, 3) and (1, 2) are the vertices s of a parallelogram. Is it a rectangle? QUESTION 9. (i) 5x + 2x 6 5x 2x 6 Using properties of proportion solve for x, given (ii) A person on tour has expenses by = 4. < 4200 for his expenses. If he extends his tour for 3 days, he has to cut down his daily < 70. Find the original duration of the tour. (iii) Using only a ruler and compass, construct +ABC = 120c, where AB = BC = 5 cm. (a) Mark two points D and E , which satisfy the condition that they are equidistant from both BA and BC . (b) In the above figure, join AE and EC . Describe the figures. (a) ABCD (b) ABD (c) ABE QUESTION 10. (i) Use Remainder theorem to factorize the polynomial 2x3 + 3x2 9x 10 . (ii) A bag contains cards numbered 1 to 49. Find the probability that the number on the drawn card is : (a) An odd number (b) A multiple of 5 (c) Even prime (iii) Use graph paper for this question. (a) Plot the points A(-4, 4), B(2, 2). (b) Reflect A and B in the origin to get the images Al and B l respectively. Write the coordinates of Al and Bl. (c) Give geometrical name of the figure ABAl B l . (d) Draw and name its lines of symmetry. ****** Install NODIA App to See the Solutions. Click Here To Install

Formatting page ...

ohiogyattrizzler79 chat

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