SUBJECT: MATHEMATICS
TIME ALLOWED: 3 HOURS
Section A (Multiple Choice Questions)(20 Marks)
1. Which of the following is not a rational number?
(a) 1/2
(b) 3.14
(c) 0.25
(d) √2
2. What is the value of sin 30 degrees?
(a) 1/2
(b) √3/2
(c) 1/3
(d) √2/2
3. Which property of real numbers states that a + b = b + a?
(a) Commutative property
(b) Associative property
(c) Distributive property
(d) Identity property
4. What is the equation of a straight line passing through the points (2, 3) and (4, 7)?
(a) y = x + 1
(b) y = 2x + 1
(c) y = 3x + 1
(d) y = 4x + 1
5. Which of the following is a quadratic equation?
(a) x + 2 = 5
(b) x² - 4x - 5 = 0
(c) x³ - 2x² + x - 1 = 0
(d) x⁴ + 2x² - 1 = 0
Section B (Short Answer Questions)(20 Marks)
6. Simplify (2x²y - 3xy²)/xy.
7. Find the value of x for which 2x + 5 = 17.
8. Solve the equation 3(x - 2) = 2(x + 1).
9. Find the slope of the line passing through the points (-2, 4) and (3, -1).
10. Factorise the quadratic expression x² - 4x - 5.
Section C (Long Answer Questions)(60 Marks)
11. Solve the following system of equations:
2x + 3y = 7
4x - 5y = 2
12. Find the roots of the quadratic equation 2x² - 5x - 3 = 0.
13. Prove that the sum of the angles of a triangle is 180 degrees.
14. Construct a rectangle with length 8 cm and width 5 cm. Calculate its perimeter and area.
15. Find the mean, median, and mode of the following data:
4, 6, 8, 10, 12, 14, 16, 18, 20
Good luck!