Maths Specimen Paper Sec-B 2023 Solved for ICSE Class-10
Maths Specimen Paper Sec-B 2023 Solved for ICSE Class-10. Step by step solutions as council prescribe guideline of model sample question paper. During solutions of Maths specimen paper we explain with figure , graph, table whenever necessary so that student can achieve their goal in next upcoming exam of council. Visit official website CISCE for detail information about ICSE Board Class-10.
ICSE Class-10 Maths Specimen Paper 2023 Solved sec-B
|Topic||ICSE Specimen Paper Solved|
|Syllabus||on bifurcated syllabus (after reduction)|
|Question Type||Descriptive Type (as prescribe by council)|
|Total question||10 with all parts (Sec-A&B)|
ICSE Maths Specimen Paper 2023 Solved Class-10
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ICSE SPECIMEN QUESTION PAPER 2023
Maximum Marks: 80
- Time allowed: Two and half hours Answers to this Paper must be written on the paper provided separately.
- You will not be allowed to write during first 15 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 four questions from Section B.
- All working, including rough work, must be clearly shown, and must be done on the same sheet as the rest of the answer.
- Omission of essential working will result in loss of marks. The intended marks for questions or parts of questions are given in brackets [ ]
- Mathematical tables are provided.
SECTION B Maths ICSE Specimen Paper Solved 2023 Class-10
(Attempt any four questions from this Section.)
(i) The following bill shows the GST rates and the marked price of articles:
Find the total amount to be paid for the above bill.
(ii) Solve the following quadratic equation,
Give your answer correct to two places of decimal
(iii) Use graph sheet for this question. Draw a histogram for the daily earnings of 54 medical stores in the following table and hence estimate the mode for the following distribution. Take 2 cm = Rs. 500 units along the x-axis and 2 cm = 5 stores along the y-axis.
(ii) In the given figure, O is the centre of circle. The tangent PT meets the diameter RQ  produced at P.
(a) Prove Triangle PQT ~ Triangle PTR
(b) If PT =6cm,QR =9cm. Find the length of PQ
(iii) Factorise the given polynomial completely, using Remainder Theorem:
6x³ + 25x² + 31x + 10
(i) ABCD is a square where B (1, 3), D (3, 2) are the end points of the diagonal BD.
(a) the coordinates of point of intersection of the diagonals AC and BD
(b) the equation of the diagonal AC
(ii) Prove that :
(iii) The first, the last term and the common difference of an Arithmetic Progression are 98, 1001 and 7 respectively. Find the following for the given Arithmetic Progression:
(a) number of terms ‘n’.
(b) Sum of the ‘n’ terms.
(i) A box contains some green, yellow and white tennis balls. The probability of selecting a green ball is 1/4 and yellow ball is 1/3 If the box contains 10 white balls, then find:
(a) total number of balls in the box.
(b) probability of selecting a white ball.
(ii) A cone and a sphere having the same radius are melted and recast into a cylinder. The radius and height of the cone are 3 cm and 12 cm respectively. If the radius of the cylinder so formed is 2 cm, find the height of the cylinder.
(iii) In the given diagram, ABCD is a cyclic quadrilateral and PQ is a tangent to the smaller circle at E. Given angle AEP = 70°, angle BOC = 110°. Find:
(a) angle ECB,
(b) angle BEC,
(c) angle BFC,
(d) angle DAB,
(i) Solve the following inequation:
Represent the solution set on a number line.
(ii) The following table gives the petrol prices per litre for a period of 50 days.
Find the mean price of petrol per litre to the nearest rupee using step — deviation method.
(iii) In the given diagram, ABC is a triangle and BCFD is a parallelogram.
AD: DB = 4:5 and EF = 15 cm.
(i) Amit takes 12 days less than the days taken by Bijoy to complete a certain work. If both, working together, takes 8 days to complete the work, find the number of days taken by Bijoy to complete the work, working alone.
(ii) Use a graph sheet for this question. The daily wages of 120 workers working at a site are given below:
Use 2cm = % 50 and 2 cm = 20 workers along x — axis and y — axis respectively to
draw an ogive and hence estimate:
(a) the median wages
(b) the inter — quartile range of wages
(c) percentage of workers whose daily wage is above rs. 475.
(i) Solve for x, using the properties of proportion.
(ii) Using ruler and compasses, construct a regular hexagon of side 4.5 cm. Hence construct a circle circumscribing the hexagon. Measure and write down the length of the circum-radius.
(iii) An observer standing on the top of a lighthouse 150 m above the sea level watches a ship sailing away. As he observes, the angle of depression of the ship changes from 50° to 30°. Determine the distance travelled by the ship during the period of observation. Give your answer correct to the nearest meter. (Use Mathematical Table for this question.
PDF Solution of Sec-B ICSE Maths Specimen Paper 2023
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