"TEST – ICSE MATHEMATICS - X", which covers topics in Probability, Quadratic Equations, Factorisation, and Trigonometry:
🧮 Topics Covered
Probability:
- Calculating probabilities based on card draws and coin tosses.
- Real-life scenarios like games and playing cards used to frame questions.
Quadratic Equations:
- Solving quadratic equations.
- Finding conditions for real and equal roots.
- Application-based problems involving area and tile dimensions.
Factorisation:
- Using factor theorem to find unknown coefficients.
- Polynomial division and complete factorisation.
Trigonometry:
- Proving identities involving cotangent, tangent, sine, cosine, secant, and cosecant.
- Complex expressions simplified to standard trigonometric identities.
📝 Sample Questions
- Probability of winning different prizes based on number card properties.
- Proving trigonometric identities like: [ \frac{(\cot A + \tan A - 1)(\sin A + \cos A)}{\sin^3 A + \cos^3 A} = \sec A \cdot \csc A ]
- Solving and factorising polynomials such as: [ 2x^3 - 7x^2 + kx - 2 \quad \text{(given that } x - 2 \text{ is a factor)} ]
- Finding the value of ( x ) in a tile-based floor problem.
- Probability of drawing a specific card from a reduced deck.
⏱️ Format
- Total Marks: 40
- Duration: 1 hour 30 minutes
- Each question is marked individually, ranging from 1 to 4 marks.
No comments:
Post a Comment