Instructions
Write this paper in one sitting. Keep rough work organised. Do not use a calculator unless your school explicitly allows it.
Part A - Short Answers
1. Find domain and range for a given relation. 2. State Euclid division lemma. 3. Write the nth term formula of an AP. 4. Write one algebraic identity. 5. Find midpoint of two points. 6. Write sin^2 theta + cos^2 theta. 7. Write volume formula of a cylinder. 8. Define probability.
Part B - Two-Mark Sums
1. Find A x B for two small sets. 2. Find HCF of two numbers using Euclid algorithm. 3. Factorise a quadratic expression. 4. Find slope of the line joining two points. 5. Find tan theta from a right triangle. 6. Find curved surface area of a cone. 7. Find mean of a small data set. 8. Find probability of getting an even number on a die.
Part C - Five-Mark Sums
Answer any five.
1. Solve an arithmetic progression word problem. 2. Solve a quadratic equation by factorisation. 3. Prove a geometry theorem with diagram and reasons. 4. Find area of a triangle using coordinate formula. 5. Solve a height and distance problem. 6. Solve a combined solid mensuration problem. 7. Find mean from a frequency table.
Checking Rubric
| Area | Check |
|---|---|
| Formula | Formula written before substitution |
| Steps | No major working step skipped |
| Diagram | Geometry and trigonometry diagrams clear |
| Units | Mensuration answer has correct units |
| Time | Final 10 minutes used for checking |
After-Paper Correction
- Rewrite all wrong formulae.
- Reattempt wrong sums after two days.
- Mark weak chapters on the subject dashboard.
- Write one more model paper after revising mistakes.