Q). Sum of the areas of two squares is 157 m2. If the sum of their perimeters is 68 m, find the sides of the two squares. Ans: Let’s consider that the side of a square is X m and the side of the other square is Y m. Step 1: By 1st given condition, […]
Q) How many terms of the arithmetic progression 24, 21, 18, …….. must be taken so that their sum is 78? Explain the double answer. Ans: We start from the given AP: 24, 21, 18, ……. a = 24, d = – 3, Sn = 78 (given) Sum of n terms of AP, Sn
Q. In a fight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. Find the duration of the flight. Ans: Step 1: Let’s consider that the aircraft’s original average speed was X
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
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 +