Q) Rinku was very happy to receive a fancy jumbo pencil from his best friend Rohan on his birthday. Pencil is a basic writing tool, when sharpened its shape is a combination of cylinder & cone as given in the picture. Cylindrical pencil with conical head is a common shape worldwide since ages. Commonly pencils are […]
January 2025
Q) While factorizing a given polynomial, a student finds that (2x + 1) is a factor of 2 x3 + 7 x 2 + 2 x – 3 (a) Is the student’s solution correct stating that (2x + 1) is a factor of the given polynomial? (b) Give a valid reason for your answer. (c)
While factorizing a given polynomial, a student finds that (2x + 1) is a factor of Read More »
Q) A line segment joining P (2,- 3) and Q (0, – 1) is cut by the x-axis at the point R. A line AB cuts the y axis at T (0, 6) and is perpendicular to PQ at S. Find the: (a) equation of line PQ (b) equation of line AB (c) coordinates of
A line segment joining P(2,- 3) and Q (0, -1) is cut by the x-axis at the point R. Read More »
Q) In the given figure AC is the diameter of the circle with centre O. CD is parallel to BE. angle AOB = 80 deg and angle ACE = 20 deg . Calculate: (a) angle BEC (b) angle BCD (c) angle CED Ans: (a) ∠ BEC: Step 1: Given that ∠ AOB = 800 ∠
Q) In a Geometric Progression (GP), the first term is 24 and the fifth term is 8. Find the ninth term of the GP. ICSE Specimen Question paper (SQP) 2025 Ans: Step 1: The geometric progression is a, a r, a r 2, ar 3, ……… a r n – 1 here, a is the first
Q) A man buys 250, ten-rupee shares each at 12.50. If the rate of dividend is 7%, find the: (a) dividend he receives annually (b) percentage return on his investment ICSE Specimen Question Paper (SQP)2025 Ans: a) Annual Dividend: Total Number of shares purchased = 250 Face value of each share = Rs. 10
A man buys 250, ten-rupee shares each at 12.50. If the rate of dividend is 7% Read More »
Q) Prove the following trigonometry identity: (sin θ + cos θ)(cosec θ – sec θ) = cosec θ. sec θ – 2 tan θ ICSE Specimen Question Paper (SQP)2025 Ans: Let’s start from LHS: (sin θ + cos θ)(cosec θ – sec θ) = sin θ cosec θ – sin θ sec θ +
Q) In the adjoining diagram, a tilted right circular cylindrical vessel with base diameter 7 cm contains a liquid. When placed vertically, the height of the liquid in the vessel is the mean of two heights shown in the diagram. Find the area of wet surface, when the cylinder is placed vertically on a horizontal
Q) Using step-deviation method, find mean for the following frequency distribution: ICSE Specimen Question Paper (SQP)2025 Ans: Step 1: Let’s re-organize the data in the table: Step 2: Here we have = 30, = – 12, a = 52.5, h = 15 Given that the total of frequencies = 40 ∴ Mean = a + x
Using step-deviation method, find mean for the following frequency distribution: Read More »
Q) Find the coordinates of the centroid P of the Δ ABC, whose vertices are A(-1, 3), B(3, -1) and C(0, 0). Hence, find the equation of a line passing through P and parallel to AB. ICSE Specimen Question Paper (SQP)2025 Ans: (a) Coordinates of the Centroid: Given that two vertices of a triangle are