Sapling Academy - Exams Prep

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"10th Maths - Trigonometry" - CBSE 2026 Exam paper MCQ

Question: If 2 sin A = 1 then the value of tan A + cot A is:
(A) √3 (B) 4/√3 (C) √3/2 (D) 1

Answer:
∵ 2 sin A = 1
∴ sin A = 1/2
∴ cos A = √(1-sin^2 A) = √(1- (1/2)^2) = √(3/4) = √3/2
∴ tan A = sin A/cos A = 1/√3
∴ cot A = √3
∴ tan A + cot A = 1/√3 + √3 = 4/√3
∴ Option B is correct.

"10th Maths - Circles" - CBSE 2026 Exam paper MCQ

Question: Area of a segment of a circle of radius 'r' and central angle 60° is:
(A) π r^2/2 - 1/2 r^2 (B) 2 π r/4 - √3/4 r^2
(C) π r^2/6 - √3/4 r^2 (D) 2 π r/4 - r^2 sin 60

Answer:
∵ Segment Area = π r^2 x (60/360) - (1/2) . r . (√3/2 r)
∴ Area = π r^2 x (1/6) - √3/4 r^2
∴ Option C is correct.

"10th Maths - Trigonometry" - CBSE 2026 Exam paper MCQ

Question: If cos A = 4/5, then the value of tan A is:
(A) 3/5 (B) 3/4 (C) 4/3 (D) 5/3

Answer:
∵ cos A = 4/5
∴ sin A = √(1-cos^2 A) = √(1-16/25) = √9/25 = 3/5
∴ tan A = sin A/ cos A = (3/5) / (4/5) = 3/4
∴ Option B is correct.

"10th Maths - Surface Area & Volumes" - CBSE 2026 Exam paper MCQ

Question: A hemispherical bowl is made of steel of thickness 1 cm. The outer radius of the bowl is 6 cm. The volume of steel used (in cm) is:
(A) 182 π (B) 182/3 π
(C) 682/3 π (D) 364/3 π

Answer:
∵ Outer radius, R1 = 6 cm and Thickness is 1 cm
∴ Inner radius, R2 = 6 - 1 = 5 cm
∴ Volume of bowl = 2/3 π R1^3 - 2/3 π R2^3 = 2/3 π (6^3 - 5^3) = 2/3 (91) π
∴ Option B is correct.

# Volume

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"10th Maths - Coordinate Geometry" - CBSE 2026 Exam paper MCQ

Question: If the distance between the points (4, P) and (1, 0) is 5, then P is equal to:
(A) +-4 (B) 4 (C) - 4 (D) 0

Answer:
∵ Distance between points: √{(1-4)^2 + (0-p)^2} = 5
∴ (9 + p^2) = 25
∴ p^2 = 25 - 9 = 16
∴ p = +- 4
∴ Option A is correct.

"10th Maths - Statistics" - CBSE 2026 Exam paper MCQ

Question: The mean and median of a frequency distribution are 43 and 43.4 respectively. The mode of the distribution is:
(A) 43.4 (B) 42.4 (C) 44.2 (D) 49.3

Answer:
∵ By empirical formula, 3 Median = Mode + 2 Mean
∴ Mode = 3 Median - 2 Mean = 3 x 43.4 - 2 x 43
∴ Mode = 130.2-86 = 44.2
∴ Answer: Option C

"10th Maths - polynomial" - CBSE 2026 Exam paper MCQ

Question: If α and β are two zeroes of a polynomial f(x) = p x 2 - 2 x + 3p and α + β = α β, then value of p is:
(A) - ⅔ (B) ⅔ (C) ⅓ (D) - ⅓

Answer: Here, a = p, b = - 2, c = 3 p
Sum of zeroes, α + β = -b/a = 2/p
Product of zeroes, α . β = 3p/p = 3
∵ α + β = α β (given)
∴ 2/p = 3
∴ p = 2/3
∴ Option B is correct.

"10th Maths - Linear equations" - CBSE 2026 Exam paper MCQ

Question: The graph of y = f(x) is given. The number of distinct zeroes of y = f(x) is:
(A) 0 (B) 1 (C) 2 (D) 3

Answer:
∵ Zeroes are the x-values where the y-value is zero.
∴ Here the graph intersects 2 times, hence No. of zeroes = 2
∴ Option C is correct.

"10th Maths - Triangles" - CBSE 2026 Exam paper MCQ

Question: In triangles ABC and PQR, ∠ A = ∠ Q and ∠ B = ∠ R, then AB: AC is equal to:
(A) PQ: PR (B) PQ: QR
(C) QR: QP (D) PR: QR

Answer:
∵ ∠ A = ∠ Q, ∠ B = ∠ R
∴ Δ ABC ~ Δ QRP
∴ AB/AC = QR/QP
∴ Option C is correct

"10th Maths - Real Numbers work Problem - SQP"

📌 Question:
In a workshop, the number of teachers of English, Hindi and Science are 36, 60 and 84 respectively. Find the minimum number of rooms required, if in each room the same number of teachers are to be seated and all of them being of the same subject.
(SQP 2026 CBSE)

🎯 What you get here:
- SQP word problem
- Learn approach to start
- Solve in easy steps

https://youtu.be/wLc63lomhTs

2026 Board Exam | Class 10 Maths SQP | In a workshop, the number of teachers of English, Hindi and.. In this video, I have solved an important REAL NUMBERS problem with full clarity and step-by-step explanation. This word problem is taken from the Board's SQ...