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
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:
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
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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 »