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

ICSE Class X Board Specimen 2022 : Mathematics [Semester 2]

7 pages, 66 questions, 1 questions with responses, 1 total responses,

ICSE
Indian Certificate of Secondary Education (ICSE), New Delhi

+Fave Message

Profile Timeline Uploads Q & A

Home > icse >

Instantly get Model Answers to questions on this ResPaper. Try now!
NEW ResPaper Exclusive!

Formatting page ...

ICSE SEMESTER 2 EXAMINATION SPECIMEN QUESTION PAPER MATHEMATICS Maximum Marks: 40 Time allowed: One and a half hours Answers to this Paper must be written on the paper provided separately. You will not be allowed to write during the first 10 minutes. This time is to be spent in reading the question paper. The time given at the head of this Paper is the time allowed for writing the answers. Attempt all questions from Section A and any three questions from Section B. The intended marks for questions or parts of questions are given in brackets [ ]. 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 question, Write the correct answer only.) (i) (ii) [10] The point (3,0) is invariant under reflection in: (a) The origin (b) x-axis (c) y-axis (d) both x and y axes In the given figure, AB is a diameter of the circle with centre O . If = 55 then the value of x is: T22 511 S2 SPECIMEN 1 of 7 (a) 27.5 (b) 55 (c) 110 (d) 125 (iii) If a rectangular sheet having dimensions 22 cm x 11 cm is rolled along its shorter side to form a cylinder. Then the curved surface area of the cylinder so formed is: (a) 968 cm2 (b) 424 cm2 (c) 121 cm2 (d) 242 cm2 (iv) If the vertices of a triangle are (1,3), (2, - 4) and (-3, 1). Then the co-ordinate of its centroid is: (v) (a) (0, 0) (b) (0, 1) (c) (1, 0) (d) (1, 1) tan x is equal to: (a) (b) (c) (d) (vi) cos sin tan cot The median class for the given distribution is: Class Interval Cumulative Frequency (a) 1 5 (b) 6 10 (c) 11 15 (d) 11 20 T22 511 S2 SPECIMEN 1 5 6 10 11 15 16 20 2 6 11 18 2 of 7 (vii) If the lines 7 = + 4 2 = 3 , are parallel to each other, then the value of a is: (a) -1 (b) (c) (d) 14 (viii) Volume of a cylinder is 330 cm3. The volume of the cone having same radius and height as that of the given cylinder is: (a) 330 cm3 (b) 165 cm3 (c) 110 cm3 (d) 220 cm3 (ix) In the given graph, the modal class is the class with frequency: (x) (a) 72 (b) 21 (c) 48 (d) 36 If the probability of a player winning a game is 0.56. The probability of his losing this game is: (a) 0.56 (b) 1 (c) 0.44 (d) 0 T22 511 S2 SPECIMEN 3 of 7 SECTION B (Attempt any three questions from this Section.) Question 2 (i) Find the ratio in which the x-axis divides internally the line joining points A (6, -4) and B ( -3, 8). (ii) [2] Three rotten apples are accidently mixed with twelve good ones. One apple is picked at random. What is the probability that it is a good one? [2] (iii) In the given figure , AC is a tangent to circle at point B. is an equilateral triangle and = . Find: (a) (b) (c) [3] (iv) A drone camera is used to shoot an object P from two different positions R and S along the same vertical line QRS. The angle of depression of the object P from these two positions are 35 and respectively as shown in the diagram. If the distance of the object P from point Q is 50 metres, then find the distance between R and S correct to the nearest meter. T22 511 S2 SPECIMEN [3] 4 of 7 Question 3 (i) In the given figure, PT is a tangent to the circle at T, chord BA is produced to meet the tangent at P. Perpendicular BC bisects the chord TA at C. If PA = 9cm and TB = 7cm, find the lengths of: (ii) (a) AB (b) PT [2] How many solid right circular cylinders of radius 2 cm and height 3 cm can be made by melting a solid right circular cylinder of diameter 12 cm and height 15 cm? [2] (iii) Prove that: [3] + = + (iv) Use graph paper for this question, take 2 cm = 10 marks along one axis and 2 cm = 10 students along the other axis. The following table shows the distribution of marks in a 50 marks test in Mathematics: Marks No. of Students 6 10 13 7 4 Draw the ogive for the above distribution and hence estimate the median marks. [3] Question 4 (i) (ii) Find the equation of the perpendicular dropped from the point P (-1,2) onto the line joining A (1,4) and B (2,3). [2] Find the mean for the following distribution: [2] Class Interval 20 40 40 60 60 80 80 100 Frequency 4 7 6 3 T22 511 S2 SPECIMEN 5 of 7 (iii) A solid piece of wooden cone is of radius OP = 7 cm and height OQ = 12 cm. A cylinder whose radius and height equal to half of that of the cone is drilled out from this piece of wooden cone. Find the volume of the remaining piece of wood. (Use, = ) [3] (iv) Use a graph sheet for this question, take 2cm = 1 unit along both x and y axis: (a) [3] Plot the points A (3,2) and B (5,0). Reflect point A on the y-axis to A . Write co-ordinates of A . (b) Reflect point B on the line AA to B . Write the co-ordinates of B . (c) Name the closed figure A B AB. Question 5 (i) (ii) In the given figure, the sides of the quadrilateral PQRS touches the circle at A,B,C and D. If RC = 4 cm, RQ = 7 cm and PD = 5cm. Find the length of PQ: [2] Prove that: [2] + = + T22 511 S2 SPECIMEN 6 of 7 (iii) In the given diagram, OA = OB, = the line AB passes through point P (-3, 4). [3] Find: (a) Slope and inclination ( ) of the line AB (b) Equation of the line AB (iv) Use graph paper for this question. Estimate the mode of the given distribution by plotting a histogram. [Take 2 cm = 10 marks along one axis and 2 cm = 5 students along the other axis] Daily wages(in ) No. of Workers [3] 6 12 20 15 9 Question 6 (i) A box contains tokens numbered 5 to 16. A token is drawn at random. Find the probability that the token drawn bears a number divisible by: (ii) (a) 5 (b) Neither by 2 nor by 3 [2] Point M (2, b) is the mid-point of the line segment joining points P (a, 7) and Q (6, 5). Find the values of a and b . [2] (iii) An aeroplane is flying horizontally along a straight line at a height of 3000 m from the ground at a speed of 160 m/s. Find the time it would take for the angle of elevation of the plane as seen from a particular point on the ground to change from 60 to 45 . Give your answer correct to the nearest second. [3] (iv) Given that the mean of the following frequency distribution is 30, find the missing frequency f Class Interval Frequency T22 511 S2 SPECIMEN [3] 0 10 10 20 20 30 30 40 40 50 50 60 4 6 10 f 6 4 7 of 7

Formatting page ...

Top Contributors
to this ResPaper
(answers/comments)

Vaishali Karne
(1)

Formatting page ...

Tags : icse free download, icse papers, pdf download 2020 2021 2022 2023, 2024 icse sample papers, icse books, portal for icse india, icse question bank, indian certificate of secondary education, icse question papers with answers, icse model test papers, solved past board question papers of icse last year, previous years solved question papers, free online icse solved question paper, icse syllabus, india icse board sample questions papers, last 10 years icse papers, icse question papers 2022 - 2023, icse guess sample questions papers, icse important questions, class 10 specimen / guess / mock papers, icse pre board question papers, icse 2022 - 2023 pre-board examination

icse chat

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