- 1. Mathematics is the study of numbers, quantity, structure, space, and change. It is an essential tool in various fields such as science, engineering, economics, and social sciences. Mathematics helps us understand the world around us by providing logical reasoning and problem-solving skills. From calculating the trajectory of a rocket to analyzing the stock market trends, mathematics is crucial for making informed decisions and advancing human knowledge. It encompasses diverse branches such as algebra, geometry, calculus, statistics, and more, each offering unique insights into the patterns and relationships that govern our universe.
What is the square root of 144?
A) 10
B) 16
C) 12
D) 14
- 2. In a triangle, the sum of all angles is equal to:
A) 270 degrees
B) 360 degrees
C) 180 degrees
D) 90 degrees
- 3. What is the value of 5! (factorial)?
A) 100
B) 120
C) 50
D) 25
- 4. What is the value of log₁₀100?
A) 4
B) 2
C) 3
D) 1
- 5. What is the largest prime number less than 20?
A) 19
B) 17
C) 23
D) 21
- 6. What is the sum of all interior angles of a pentagon?
A) 450 degrees
B) 540 degrees
C) 720 degrees
D) 360 degrees
- 7. What is the next prime number after 29?
A) 29
B) 33
C) 31
D) 27
- 8. What is the formula for the volume of a sphere with radius 'r'?
A) πr²
B) 3/4πr³
C) 2πr³
D) 4/3πr³
- 10. What is the geometric term for a polygon with five sides?
A) Hexagon
B) Decagon
C) Octagon
D) Pentagon
- 11. What is the value of 24?
A) 12
B) 14
C) 8
D) 16
- 12. In the equation 2x - 4 = 10, what is the value of x?
A) 5
B) 12
C) 7
D) 8
- 13. What is the sum of the first 10 natural numbers?
A) 55
B) 50
C) 45
D) 60
- 14. What is the value of 8 ÷ 1/4?
A) 24
B) 16
C) 32
D) 28
- 15. What is the formula for the perimeter of a rectangle with length 'l' and width 'w'?
A) 2(l + w)
B) 2lw
C) l2 + w2
D) l * w
- 16. What is the value of log₃27?
A) 2
B) 3
C) 1
D) 4
- 17. What is the square root of 64?
A) 8
B) 4
C) 10
D) 6
- 18. What is the area of a rectangle with length 5 and width 10?
A) 25
B) 15
C) 30
D) 50
- 19. If a number is divisible by 3 and 4, is it also divisible by 12?
A) Yes
B) No
C) Not always
D) It depends
- 20. What is the solution to the equation 2x + 5 = 15?
A) x = 5
B) x = 2
C) x = 10
D) x = 7
- 21. What is the geometric mean of 4 and 9?
A) 3
B) 13
C) 5
D) 6
- 22. What is the divisibility rule for 9?
A) The sum of the digits is divisible by 9
B) The last two digits form a multiple of 4
C) The number ends in 0
D) The number is even
- 23. What is the LCM of 6 and 8?
A) 24
B) 12
C) 16
D) 10
- 24. What is the binary representation of the decimal number 10?
A) 1100
B) 1001
C) 1111
D) 1010
- 25. What is the symbol of pi?
A) ∞
B) ≈
C) √
D) π
- 26. What is the value of 5 + 8 * 2?
A) 21
B) 18
C) 30
D) 26
- 27. Which trigonometric function is equal to the ratio of the side opposite to the hypotenuse in a right triangle?
A) Tangent
B) Cosecant
C) Sine
D) Cosine
- 28. What is the value of 3² × 4?
A) 10
B) 15
C) 25
D) 36
- 29. How many degrees are in a full circle?
A) 270
B) 720
C) 180
D) 360
- 30. If a triangle has angles of 30°, 60°, and 90°, what type of triangle is it?
A) Equilateral triangle
B) Scalene triangle
C) Isosceles triangle
D) Right triangle
- 31. What is the value of 5³?
A) 75
B) 100
C) 150
D) 125
- 32. What is the value of 2⁴ × 2³?
A) 256
B) 64
C) 128
D) 32
- 33. What is the result of 5 x 7?
A) 42
B) 40
C) 25
D) 35
- 34. What is the next number in the sequence: 2, 5, 10, 17, __?
A) 29
B) 32
C) 26
D) 35
- 35. What is the perimeter of a rectangle with length 8 units and width 5 units?
A) 34 units
B) 26 units
C) 32 units
D) 30 units
- 36. What is the value of 3² + 4²?
A) 12
B) 8
C) 25
D) 18
- 38. What is the volume of a cube with side length 3 units?
A) 27 cubic units
B) 36 cubic units
C) 9 cubic units
D) 18 cubic units
- 39. What is the area of a triangle with base 7 units and height 4 units?
A) 16 square units
B) 20 square units
C) 14 square units
D) 18 square units
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