1. Calculate the sum of 2+2.

2. Solve for x in the equation 2x+5=11.

3. Find the area of a rectangle with length 5cm and width 3cm.

4. What is the next number in the sequence: 2, 5, 8, 11, 14?

5. Prove that 1+1=2.

6. Calculate the average of 5, 7, and 9.

7. Solve the inequality 3x-2>5.

8. Find the slope of a line that passes through the points (2,3) and (4,5).

9. What is the value of x in the equation x^2+4x+4=0?

10. Calculate the sum of the first 10 prime numbers.

11. Solve the system of equations 2x+y=4 and x-2y=-3.

12. Find the area of a circle with radius 4cm.

13. What is the next number in the sequence: 1, 2, 4, 7, 11?

14. Prove that 2+2=4.

15. Calculate the average of 2, 4, 6, and 8.

16. Solve the inequality 2x+3>5.

17. Find the slope of a line that passes through the points (1,2) and (3,4).

18. What is the value of x in the equation x^2-4x+4=0?

19. Calculate the sum of the first 5 even numbers.

20. Solve the system of equations x+y=2 and 2x-2y=4.

21. Find the area of a triangle with base 5cm and height 6cm.

22. What is the next number in the sequence: 2, 6, 12, 20, 30?

23. Prove that 3+3=6.

24. Calculate the average of 1, 3, 5, and 7.

25. Solve the inequality x-2>3.

26. Find the slope of a line that passes through the points (2,1) and (4,3).

27. What is the value of x in the equation x^2+2x+1=0?

28. Calculate the sum of the first 10 odd numbers.

29. Solve the system of equations 3x+y=6 and 2x-3y=12.

30. Find the area of a rectangle with length 6cm and width 4cm.

31. What is the next number in the sequence: 1, 4, 9, 16, 25?

32. Prove that 4+4=8.

33. Calculate the average of 2, 5, 8, and 11.

34. Solve the inequality 2x+5>11.

35. Find the slope of a line that passes through the points (1,1) and (3,5).

36. What is the value of x in the equation x^2-6x+8=0?

37. Calculate the sum of the first 5 prime numbers.

38. Solve the system of equations 2x+2y=8 and x-2y=-2.

39. Find the area of a circle with radius 5cm.

40. What is the next number in the sequence: 2, 8, 18, 32, 50?

41. Prove that 5+5=10.

42. Calculate the average of 1, 2, 3, and 4.

43. Solve the inequality x+2>6.

44. Find the slope of a line that passes through the points (2,2) and (4,6).

45. What is the value of x in the equation x^2+3x+2=0?

46. Calculate the sum of the first 10 numbers.

47. Solve the system of equations 3x-2y=7 and 2x+3y=14.

48. Find the area of a triangle with base 4cm and height 5cm.

49. What is the next number in the sequence: 1, 3, 6, 10, 15?

50. Prove that 6+6=12.

51. Calculate the average of 2, 4, 6, and 8.

52. Solve the inequality 2x-3>5.

53. Find the slope of a line that passes through the points (1,3) and (3,5).

54. What is the value of x in the equation x^2-4x+4=0?

55. Calculate the sum of the first 5 even numbers.

56. Determine the validity of the argument: "All humans are mortal. Socrates is human. Therefore, Socrates is mortal."

57. Solve the classic "prisoners and hats" puzzle.

58. Prove that the sum of any two even numbers is even.

59. Determine the next shape in the sequence: square, circle, triangle, square, circle, ?

60. Solve the "five houses" puzzle, where each house is painted a different color and has a different nationality.

61. Prove that 2+2=4 using only logical reasoning.

62. Determine the validity of the argument: "If it is raining, the streets will be wet. The streets are wet. Therefore, it is raining."

63. Solve the "three switches" puzzle, where you must turn on a light bulb in a room using only three switches.

64. Prove that the product of any two odd numbers is odd.

65. Determine the next number in the sequence: 1, 2, 4, 7, 11, ?

66. Solve the "Monty Hall problem", where you must choose one of three doors to win a prize.

67. Prove that the sum of any two prime numbers is even.

68. Determine the validity of the argument: "All rectangles are quadrilaterals. All squares are rectangles. Therefore, all squares are quadrilaterals."

 

69. Solve the "water, gas, and electricity" puzzle, where you must connect three houses to three utilities.

70. Prove that 1+1=2 using only logical reasoning.

71. Determine the next shape in the sequence: triangle, square, pentagon, hexagon, ?

72. Solve the "four envelopes" puzzle, where you must determine the contents of four envelopes using only logical reasoning.

73. Prove that the product of any two even numbers is even.

74. Determine the validity of the argument: "If it is not raining, the streets will not be wet. The streets are not wet. Therefore, it is not raining."

75. Solve the "three boxes" puzzle, where you must determine the contents of three boxes using only logical reasoning.

76. Prove that the sum of any two numbers is equal to the sum of the other two numbers.

77. Determine the next number in the sequence: 2, 5, 8, 11, 14, ?

78. Solve the "five coins" puzzle, where you must determine the authenticity of five coins using only logical reasoning.

79. Prove that the product of any two numbers is equal to the product of the other two numbers.

80. Determine the validity of the argument: "All triangles are polygons. All equilateral triangles are triangles. Therefore, all equilateral triangles are polygons."

81. Solve the "two ropes" puzzle, where you must burn two ropes of different lengths to determine the length of a third rope.

82. Prove that 2+2=4 using only logical reasoning.

83. Determine the next shape in the sequence: square, circle, triangle, square, circle, ?

84. Solve the "three light bulbs" puzzle, where you must turn on three light bulbs using only three switches.

85. Prove that the sum of any two odd numbers is even.

86. Determine the validity of the argument: "If it is raining, the streets will be wet. The streets are wet. Therefore, it is raining."

87. Solve the "four switches" puzzle, where you must turn on a light bulb in a room using only four switches.

 

88. Prove that the product of any two prime numbers is odd.

89. Determine the next number in the sequence: 1, 3, 6, 10, 15, ?

90. Solve the "Monty Hall problem", where you must choose one of three doors to win a prize.

91. Prove that 1+1=2 using only logical reasoning.

92. Determine the next shape in the sequence: triangle, square, pentagon, hexagon, ?

93. Solve the "three envelopes" puzzle, where you must determine the contents of three envelopes using only logical reasoning.

94. Prove that the sum of any two numbers is equal to the sum of the other two numbers.

95. Determine the validity of the argument: "All rectangles are quadrilaterals. All squares are rectangles. Therefore, all squares are quadrilaterals."

96. Solve the "water, gas, and electricity" puzzle, where you must connect three houses to three utilities.

97. Prove that the product of any two even numbers is even.

98. Determine the next number in the sequence: 2, 5, 8, 11, 14, ?

99. Solve the "five houses" puzzle, where each house is painted a different color and has a different nationality.

100. Prove that the sum of any two prime numbers is even