Q) An electric pole is 10 m high. A steel wire tied to top of the pole is affixed at a point on the ground to keep the pole upright. If the wire makes an angle of 45° with the horizontal through the foot of the pole, find the length of the wire. [Use √2 […]
Q) Find the ratio in which the point (−3, k) divides the join of A (−5, −4) and B (−2, 3). Also, find the value of k. Ans: Let A (- 5,- 4), B (- 2,3), P (- 3, k). Step 1: Using section formula for x coordinate: ∴ m:n = 2: 1 Let’s consider,
Q) Find the 7th term from the end of AP 7, 10, 13, …, 184. Ans: Given AP series is: 7, 10, 13, ……. , 184 Step 1: Let’s identify first term and common difference of our given AP: First term: a = 7 Common difference: d = 10 – 7 = 3 Step 2:
Find the 7th term from the end of AP 7, 10, 13, …, 184. Read More »
Q) At present, Asha’s age (in years) is 2 more than the square of her daughter Nisha’s age. When Nisha grows to her mother’s present age, Asha’s age would be one year less than 10 times the present age of Nisha. Find the sum of their present ages. Ans: METHOD 1 (ONE VARIABLE) Let’s consider
Q) Find the middle term of A.P 6,13, 20, ……., 230. [Q 21B – Sample Question Paper – CBSE Board 2026] Ans: Step 1: given progression is: 6,13, 20, ……., 230 Here, we can see that first term, a = 6 and the common difference, d = 13 – 6 = 7 Step 2: Let’s
Q) The A.P 8, 10, 12,……. has 60 terms. Find the sum of last 10 terms. [Q 21A – Sample Question Paper – CBSE Board 2026] Ans: Step 1: Let’s start with first term and common difference of the given AP: First term, a = 8 and the common difference, d = 10 – 8 =
The A.P 8, 10, 12,……. has 60 terms. Find the sum of last 10 terms. Read More »
Q) If sin(A + B) = 1 and cos (A − B) = √3/ 2 ,0° < A, B < 90°, find the measure of angles A and B. [Q 22 – Sample Question Paper – CBSE Board 2026] Ans: Let’s take each of the given values one by one: sin (A + B) = 1 Since
Q) If AP and DQ are medians of triangles ABC and DEF respectively, where ∆ABC~ ∆DEF, then prove that 𝐴𝐵/𝐷𝐸 = 𝐴𝑃/𝐷𝑄. [Q 23 – Sample Question Paper – CBSE Board 2026] Ans: Step 1: Given that, Δ ABC ~ Δ DEF, therefore ∠ B = ∠ E …………. (i) and …………. (ii) Step 2:
Q) Find the area of the major segment (in terms of 𝜋) of a circle of radius 5 cm, formed by a chord subtending an angle of 90˚ at the centre. [Q 24 B – Sample Question Paper – CBSE Board 2026] Ans: Let the chord AB cut the circle in 2 parts. Sector APB
Using step-deviation method, find mean for the following frequency distribution: ICSE Specimen Question Paper (SQP) 2026 Ans: Step 1: From the given frequency distribution table, first we calculate class marks (x) for each class interval. Step 2: we take 45-60 as mean class. Hence, its class marks 52.5 as our assumed mean ∴ A =
Using step-deviation method, find mean for the following frequency distribution: Read More »