Kerala Talent Olympiad
Unleash Your Genius
Unleash Your Genius
Practice with our expertly crafted questions to ace the Kerala Talent Olympiad.
Below are 50 carefully selected MCQs covering Class 9 topics (Number Systems, Polynomials, Coordinate Geometry, etc.) and Class 10 topics (Real Numbers, Polynomials, etc.) as per Kerala State & NCERT syllabus.
1. Which of the following is an irrational number?
2. Simplify (3² × 3³) ÷ 3⁴.
3. On the number line, where does √5 lie relative to 2 and 3?
4. What is the degree of the polynomial 4x⁵ - 3x² + 2x + 1?
5. If (x + 2) is a factor of x² + x - 2, what is the other factor?
6. Using the identity (a + b)², simplify (x + 3)².
7. The solution to the system of equations 2x + y = 7 and x - y = 1 is:
8. Which equation represents a line parallel to y = 2x + 3?
9. A boat’s speed in still water is 10 km/h, and the river flows at 2 km/h. If it takes 6 hours to travel upstream and back, what is the distance traveled upstream?
10. What is the distance between points (3, 4) and (7, 1)?
11. The coordinates of the midpoint of the line segment joining (2, 3) and (4, 5) are:
12. In which quadrant does the point (-2, 5) lie?
13. Which of the following is a postulate in Euclid’s Geometry?
14. An axiom is a statement that is:
15. According to Euclid, how many lines can be drawn through a point parallel to a given line?
16. If two parallel lines are cut by a transversal, the corresponding angles are:
17. The sum of angles in a triangle is:
18. If one angle of a triangle is 50° and the other is 60°, what is the third angle?
19. Which criterion proves triangle congruence if two sides and the included angle are equal?
20. In a triangle, if two sides are equal, the angles opposite them are:
21. The longest side of a right-angled triangle is called:
22. In a parallelogram, the diagonals:
23. What is the sum of the interior angles of a quadrilateral?
24. The midpoint theorem states that the line joining midpoints of two sides of a triangle is:
25. Two triangles on the same base and between the same parallels have:
26. The area of a parallelogram with base 6 cm and height 4 cm is:
27. If a triangle and a parallelogram share the same base and height, the area of the triangle is:
28. The angle subtended by an arc at the center is 90°. What is the angle subtended at a point on the remaining arc?
29. A tangent to a circle is:
30. Chords equidistant from the center of a circle are:
31. A triangle has sides 3 cm, 4 cm, and 5 cm. Its area using Heron’s formula is:
32. The semi-perimeter of a triangle with sides 5 cm, 12 cm, and 13 cm is:
33. Heron’s formula is used to find the area of a triangle when its _____ are known.
34. The surface area of a cube with side 5 cm is:
35. The volume of a cylinder with radius 2 cm and height 5 cm is:
36. The curved surface area of a cone with radius 3 cm and height 4 cm is:
37. The mean of the numbers 4, 6, 8, 10, 12 is:
38. The median of the data set {2, 5, 3, 7, 1} is:
39. The mode of the data set {1, 2, 2, 3, 3, 3, 4} is:
40. The probability of getting an even number when rolling a fair die is:
41. A bag contains 4 red and 3 blue balls. The probability of picking a blue ball is:
42. If a coin is tossed, the probability of getting heads is:
43. Using Euclid’s Division Lemma, find the HCF of 56 and 88.
44. The LCM of 12 and 18 is:
45. The decimal expansion of 13/125 is:
46. Which of the following numbers has a non-terminating repeating decimal expansion?
47. If the zeroes of the polynomial x² - 5x + 6 are 2 and 3, what is the sum of the zeroes?
48. The product of the zeroes of the polynomial 2x² + 3x - 5 is:
49. Using the division algorithm, if x² + 2x + 1 is divided by x + 1, the remainder is:
50. If one zero of the polynomial x² - 4x + k is 2, what is the value of k?
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