Mathematics Assignment Sheet
Topic: Algebra, Geometry, and Trigonometry Practice
Instructions: Solve all questions and show complete steps where necessary.
Section A: Short Answer Questions
1. Solve for x: 3x + 5 = 20
2. Expand: (x + 4)(x + 7)
3. Find the value of: 5² + 3³
4. Simplify: (a + b)²
5. If 2x = 14, find x.
Section B: Algebra Problems
6. Factorize: x² − 16
7. Solve: x² − 9x + 20 = 0
8. If a = 3 and b = 5, find (a + b)².
9. Simplify: (x²y)(3xy²)
Section C: Geometry Problems
10. Find the area of a rectangle with length 15 cm and width 6 cm.
11. Calculate the perimeter of a square with side 8 cm.
12. Find the area of a circle with radius 7 cm.
Section D: Trigonometry Basics
13. If sin θ = 4/5, find cos θ.
14. Write the value of sin 90° and cos 0°.
15. Verify the identity: sin²θ + cos²θ = 1.
Bonus Challenge Questions
16. A triangle has base 12 cm and height 9 cm. Find its area.
