While factorizing a given polynomial, using remainder & factor theorem, a student finds that (2x + 1) is a factor of 2×3 + 7×2 + 2x – 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. Also, […]
While factorizing a given polynomial, using remainder & factor theorem, a student finds Read More »
Q) P is a point on the x- axis which divides the line joining A (- 6, 2) and B (9, – 4). Find: (a) the ratio in which P divides the line segment AB. (b) the coordinates of the point P. (c) equation of a line parallel to AB and passing through (-3, -2). ICSE
P is a point on the x- axis which divides the line joining A (- 6, 2) and B (9, – 4). Read More »
Q) In the given figure, AC is the diameter of the circle with centre O. CD is parallel to BE. ∠AOB = 80⁰ and ∠ACE = 20⁰. Calculate: (a) ∠ BEC (b) ∠ BCD (c) ∠ CED ICSE Specimen Question Paper (SQP) 2026 Ans: Step 1: AC is the straight line and hence ∠ AOB +
In the given figure, AC is the diameter of the circle with centre O. Read More »
Q) -11, -7, -3, ………….,49, 53 are the terms of a progression. Answer the following: (a) What is the type of progression? (b) How many terms are there in all? (c) Calculate the value of middle most term. ICSE Specimen Question Paper 2026 Ans: a) Type of progression: Step 1: given progression is: -11, -7, -3,
-11, -7, -3, ………….,49, 53 are the terms of a progression. Answer the following: Read More »
Q) In the diagram given below, 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
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) In the given figure, the parallelogram ABCD circumscribe a circle, touching circle at P, Q, R and S. (a) Prove that: AB = BC (b) What special name can be given to the parallelogram ABCD? ICSE Specimen Question Paper – 2026 Ans: For a detailed answer to this question, please refer to the similar
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 »