Advance Maths is one of the most important sections in the SSC CGL Exam and plays a crucial role in determining overall performance. It covers a wide range of topics such as Algebra, Geometry, Mensuration, Trigonometry, Coordinate Geometry, Heights & Distances, and Statistics. Questions from Advance Maths frequently appear in SSC Exams and often test both conceptual understanding and problem-solving speed. A strong command of formulas, theorems, shortcuts, and calculation techniques helps candidates solve questions accurately within limited time. Regular practice and a clear understanding of concepts can make Advance Maths a high-scoring section in the exam.
Advance Maths Questions PDF Download Link
Download the Advance Maths Questions PDF specially designed for SSC CGL Exam by clicking on the link below:
Attempt Advance Maths Live Quiz
Below are some important Advance Maths Questions for SSC CGL and other competitive exams for your practice. Attempt them live and evaluate your performance according to the actual exam marking scheme. This will help you identify your strengths and improve your speed and accuracy.
Q1. If sin θ + cos θ = √2 cos θ, then cot θ = ?
Q2. Value of (sin 75° − sin 15°)(cos 15° − cos 75°) = ?
Q3. If tan A − tan B = x and cot B − cot A = y, then cot(A−B) = ?
Q4. If sin θ = a/b, then sec θ + tan θ = ?
Q5. Maximum value of sin⁴θ + cos⁴θ = ?
Q6. If a + b + c = 0, then a²/bc + b²/ca + c²/ab = ?
Q7. If x + 1/x = 5, then x³ + 1/x³ = ?
Q8. If 3x + 5y = 11 and xy = 2, then 9x² + 25y² = ?
Q9. If x = √5+√3, y = √5−√3, then x²+y² = ?
Q10. If a² + b² + c² = ab + bc + ca, then value of (a+b+c)³/9abc = ?
Q11. In △ABC, bisector of ∠A meets BC at D. AB = 6, AC = 9, BC = 10. BD = ?
Q12. Two chords AB and CD intersect inside a circle at P. AP = 4, PB = 9, CP = 6. PD = ?
Q13. Two tangents from external point are 4 cm each. Radius = 3 cm. Distance of point from centre = ?
Q14. In △ABC, ∠B = 90°. D is midpoint of AC. BD = ?
Q15. If the angles of a triangle are in ratio 2:3:7, the triangle is:
Q16. Number of trailing zeros in 100! = ?
17. LCM of two numbers is 1920, HCF is 16, one number is 128. The other = ?
Q18. Sum of two numbers = 36, product = 320. Sum of reciprocals = ?
Q19. A sum doubles in 8 years at SI. In how many years will it become 5 times?
Q20. Difference between CI and SI on ₹1600 at 10% p.a. for 2 years = ?
Quiz Summary
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I’m Mahima Khurana, a writer with a strong passion for creating meaningful, learner-focused content especially in the field of competitive exam preparation. From authoring books and developing thousands of practice questions to crafting articles and study material, I specialize in transforming complex exam-related topics into clear, engaging, and accessible content. I have first hand experience of 5+ months in SSC Exams. Writing, for me, is not just a skill but a way to support and guide aspirants through their preparation journey one well-written explanation at a time.