Q) In the given figure PT is a tangent to the circle. Chord BA produced meets the tangent PT at P. Given PT = 20cm and PA = 16cm. (a) Prove Δ ΡΤΒ ~ Δ ΡΑΤ (b) Find the length of AB. ICSE Specimen Question Paper (SQP)2025 Ans: a) Prove Δ ΡΤΒ ~ Δ ΡΑΤ: […]
January 2025
Q) In a TV show, a contestant opts for video call a friend life line to get an answer from three of his friends, named Amar, Akbar & Anthony. The question which he asks from one of his friends has four options. Find the probability that: (a) Akbar is chosen for the call. (b) Akbar
Q) If x, y and z are in continued proportion, Prove that: ICSE Specimen Question Paper (SQP)2025 Ans: Step 1: we know that if x, y and z are in continued proportion, then, y 2 = x z ……….. (i) Step 2: Let’s solve LHS: = = Step 3: By substituting y 2 = x
If x, y and z are in continued proportion, Prove that: Read More »
Q) A manufacturing company prepares spherical ball bearings, each of radius 7 mm and mass 4 gm. These ball bearings are packed into boxes. Each box can have maximum of 2156 cm 3 of ball bearings. Find the: (a) maximum number of ball bearings that each box can have. (b) mass of each box of ball
Q) The table given below shows the runs scored by a cricket team during the overs of a match. Estimate the modal runs scored. ICSE Specimen Question Paper (SQP)2025 Ans: Since the modal class is the class with the highest frequency. In the given question, class “50 – 650” has 60 frequency which is the
Q) An Arithmetic Progression (A.P.) has 3 as its first term. The sum of the first 8 terms is twice the sum of the first 5 terms. Find the common difference of the A.P. ICSE Specimen Question Paper (SQP)2025 Ans: It is given that first term, a = 3 (given). Let’s consider the common difference
An Arithmetic Progression (A.P.) has 3 as its first term. The sum of the first 8 terms Read More »
Q) The roots of equation (q – r) x² + (r – p) x + (p – q) = 0 are equal. Prove that: 2q = p + r, that is, p, q & r are in A.P. ICSE Specimen Question Paper (SQP)2025 Ans: Step 1: Given the polynomial: (q – r) x 2 + (r
The roots of equation (q-r) x² + (r-p) x + (p-q)=0 are equal. Read More »
Q. A car travels a distance of 72 km at a certain average speed of X km per hour and then travels a distance of 81 km at an average speed of 6 km per hour more than its original average speed. If it takes 3 hours to complete the total journey then form a
Q) Read the following text carefully and answer the questions that follow: Lokesh, a production manager in Mumbai, hires a taxi everyday to go to his office. The taxi charges in Mumbai consists of a fixed charges together with the charges for the distance covered. His office is at a distance of 10 km from his
Q) Two poles, 30 feet and 50 feet tall, are 40 feet apart and perpendicular to the ground. The poles are supported by wires attached from the top of each pole to the bottom of the other, as in the figure. A coupling is placed at C where the two wires cross. i. What is
Two poles, 30 feet and 50 feet tall, are 40 feet apart and perpendicular to the ground. Read More »