Q) Ms. Kaur invested ₹ 8,000 in buying ₹100 shares of a company paying 6% dividend at ₹ 80. After a year, she sold these shares at ₹75 each and invested the proceeds including the dividend received during the first year in buying ₹ 20 shares, paying 15% dividend at ₹ 27 each. Find the: (a) […]
Ms. Kaur invested ₹ 8,000 in buying ₹100 shares of a company paying 6% dividend at ₹ 80. Read More »
Q) In the given figure (not drawn to scale) chords AD and BC intersect at P, where AB = 9 cm, PB = 3 cm and PD = 2 cm. (a) Prove that ∆APB ~ ∆CPD. (b) Find the length of CD. (c) Find area ∆APB : area ∆CPD. ICSE Specimen Question Paper (SQP)2026 Ans: a) Prove
In the given figure (not drawn to scale) chords AD and BC intersect at P Read More »
Q) Mr. Sam has a recurring deposit account and deposits ₹ 600 per month for 2 years. If he gets ₹ 15,600 at the time of maturity, find the rate of interest earned by him. ICSE Specimen Question Paper – 2026 Ans: Step 1: Total Interest earned: Given that Principal amount is ₹ 600 per
Mr. Sam has a recurring deposit account and deposits ₹ 600 per month for 2 years. Read More »
Q) The following bill shows the GST rate and the marked price of articles: Find the total amount to be paid (including GST) for the above bill. ICSE Specimen Question Paper – 2026 Ans: Step 1: Let’s start by calculating discount on the marked price and then discounted price for each item: a) Dryfruits: Discount is
The following bill shows the GST rate and the marked price of articles: Read More »
Q) If x, y and z are in continued proportion, prove that: 𝑥/𝑦2. 𝑧2 + 𝑦/𝑧2. 𝑥2 +𝑧/𝑥2. 𝑦2 = 1/𝑥3 + 1/𝑦3 + 1/𝑧3 ICSE Specimen Question Paper – 2026 Step 1: We know that the a continued proportion is a sequence of numbers where the ratio between consecutive terms remains the same:=> x/y = y/
If x, y and z are in continued proportion, prove that: Read More »
Q) A shopkeeper buys an article for Rs. 500 and sells it for Rs. 650. Find the profit percentage. Ans: [Approach: % Profit is calculated by x 100″. Hence, if we calculate the profit, we can calculate % profit] Step 1: Profit = Selling Price – Cost Price = 650
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