Grade 8 · Pre-Algebra

Grade 8 Pre-Algebra — Pythagorean theorem questions and answers

a² + b² = c² on right triangles. Written in American English for students, parents, and teachers in the United States.

Practice quiz

Question and answer list

Each item is a 4-option MCQ. Open a question, tap A–D. Green is correct, red is wrong. Original US classroom practice — not a state test copy.

1. Grade 8 math — pythagorean: practice check 50 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

2. Grade 8 math — pythagorean: practice check 51 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

3. Grade 8 math — pythagorean: practice check 52 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

4. Grade 8 math — pythagorean: practice check 53 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

5. Grade 8 math — pythagorean: practice check 54 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

6. Grade 8 math — pythagorean: practice check 55 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

7. Grade 8 math — pythagorean: practice check 56 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

8. Grade 8 math — pythagorean: practice check 57 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

9. Grade 8 math — pythagorean: practice check 58 — the reliable next step is

Tap A, B, C or D.

Answer: B) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

10. Grade 8 math — pythagorean: practice check 59 — the reliable next step is

Tap A, B, C or D.

Answer: B) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

11. Grade 8 math — pythagorean: practice check 60 — the reliable next step is

Tap A, B, C or D.

Answer: A) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

12. Grade 8 math — pythagorean: practice check 61 — the reliable next step is

Tap A, B, C or D.

Answer: A) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

13. Grade 8 math — pythagorean: practice check 62 — the reliable next step is

Tap A, B, C or D.

Answer: A) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

14. Grade 8 math — pythagorean: practice check 63 — the reliable next step is

Tap A, B, C or D.

Answer: A) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

15. Grade 8 math — pythagorean: practice check 64 — the reliable next step is

Tap A, B, C or D.

Answer: B) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

16. Grade 8 math — pythagorean: practice check 65 — the reliable next step is

Tap A, B, C or D.

Answer: B) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

17. Grade 8 math — pythagorean: practice check 66 — the reliable next step is

Tap A, B, C or D.

Answer: B) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

18. Grade 8 math — pythagorean: practice check 67 — the reliable next step is

Tap A, B, C or D.

Answer: B) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

19. Grade 8 math — pythagorean: practice check 68 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

20. Grade 8 math — pythagorean: practice check 69 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

21. Grade 8 math — pythagorean: practice check 70 — the reliable next step is

Tap A, B, C or D.

Answer: B) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

22. Grade 8 math — pythagorean: practice check 71 — the reliable next step is

Tap A, B, C or D.

Answer: B) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

23. Grade 8 math — pythagorean: practice check 72 — the reliable next step is

Tap A, B, C or D.

Answer: B) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

24. Grade 8 math — pythagorean: practice check 73 — the reliable next step is

Tap A, B, C or D.

Answer: B) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

25. Grade 8 math — pythagorean: practice check 74 — the reliable next step is

Tap A, B, C or D.

Answer: A) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

26. Grade 8 math — pythagorean: practice check 75 — the reliable next step is

Tap A, B, C or D.

Answer: A) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

27. Grade 8 math — pythagorean: practice check 76 — the reliable next step is

Tap A, B, C or D.

Answer: A) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

28. Grade 8 math — pythagorean: practice check 77 — the reliable next step is

Tap A, B, C or D.

Answer: A) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

29. Grade 8 math — pythagorean: practice check 78 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

30. Grade 8 math — pythagorean: practice check 79 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

31. Grade 8 math — pythagorean: practice check 80 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

32. Grade 8 math — pythagorean: practice check 81 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

33. Grade 8 math — pythagorean: practice check 82 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

34. Grade 8 math — pythagorean: practice check 83 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

35. Grade 8 math — pythagorean: practice check 84 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

36. Grade 8 math — pythagorean: practice check 85 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

37. Grade 8 math — pythagorean: practice check 86 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

38. Grade 8 math — pythagorean: practice check 87 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

39. Grade 8 math — pythagorean: practice check 88 — the reliable next step is

Tap A, B, C or D.

Answer: B) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

40. Grade 8 math — pythagorean: practice check 89 — the reliable next step is

Tap A, B, C or D.

Answer: B) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

41. Grade 8 math — pythagorean: practice check 90 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

42. Grade 8 math — pythagorean: practice check 91 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

43. Grade 8 math — pythagorean: practice check 92 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

44. The Pythagorean theorem is

Tap A, B, C or D.

Answer: D) a² + b² = c²

Only for right triangles; c is the hypotenuse.

45. The hypotenuse is

Tap A, B, C or D.

Answer: A) the side opposite the right angle

It is the longest side.

46. If a = 3 and b = 4, c =

Tap A, B, C or D.

Answer: D) 5

9 + 16 = 25, √25 = 5.

47. If a = 5, b = 12, c =

Tap A, B, C or D.

Answer: D) 13

25 + 144 = 169, √169 = 13.

48. A 6-8-10 triangle is a

Tap A, B, C or D.

Answer: D) scaled 3-4-5 right triangle

Multiply 3-4-5 by 2.

49. If c = 10 and a = 6, b =

Tap A, B, C or D.

Answer: B) 8

36 + b² = 100 → b² = 64.

50. You can use the theorem to find

Tap A, B, C or D.

Answer: A) the distance between two points on a grid

Think of the legs as Δx and Δy.

51. The theorem does not apply to

Tap A, B, C or D.

Answer: B) a triangle with no right angle

All angles must include 90°.

52. Grade 8 math — pythagorean: practice check 1 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

53. Grade 8 math — pythagorean: practice check 2 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

54. Grade 8 math — pythagorean: practice check 3 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

55. Grade 8 math — pythagorean: practice check 4 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

56. Grade 8 math — pythagorean: practice check 5 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

57. Grade 8 math — pythagorean: practice check 6 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

58. Grade 8 math — pythagorean: practice check 7 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

59. Grade 8 math — pythagorean: practice check 8 — the reliable next step is

Tap A, B, C or D.

Answer: A) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

60. Grade 8 math — pythagorean: practice check 9 — the reliable next step is

Tap A, B, C or D.

Answer: A) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

61. Grade 8 math — pythagorean: practice check 10 — the reliable next step is

Tap A, B, C or D.

Answer: B) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

62. Grade 8 math — pythagorean: practice check 11 — the reliable next step is

Tap A, B, C or D.

Answer: B) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

63. Grade 8 math — pythagorean: practice check 12 — the reliable next step is

Tap A, B, C or D.

Answer: B) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

64. Grade 8 math — pythagorean: practice check 13 — the reliable next step is

Tap A, B, C or D.

Answer: B) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

65. Grade 8 math — pythagorean: practice check 14 — the reliable next step is

Tap A, B, C or D.

Answer: A) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

66. Grade 8 math — pythagorean: practice check 15 — the reliable next step is

Tap A, B, C or D.

Answer: A) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

67. Grade 8 math — pythagorean: practice check 16 — the reliable next step is

Tap A, B, C or D.

Answer: A) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

68. Grade 8 math — pythagorean: practice check 17 — the reliable next step is

Tap A, B, C or D.

Answer: A) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

69. Grade 8 math — pythagorean: practice check 18 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

70. Grade 8 math — pythagorean: practice check 19 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

71. Grade 8 math — pythagorean: practice check 20 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

72. Grade 8 math — pythagorean: practice check 21 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

73. Grade 8 math — pythagorean: practice check 22 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

74. Grade 8 math — pythagorean: practice check 23 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

75. Grade 8 math — pythagorean: practice check 24 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

76. Grade 8 math — pythagorean: practice check 25 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

77. Grade 8 math — pythagorean: practice check 26 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

78. Grade 8 math — pythagorean: practice check 27 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

79. Grade 8 math — pythagorean: practice check 28 — the reliable next step is

Tap A, B, C or D.

Answer: A) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

80. Grade 8 math — pythagorean: practice check 29 — the reliable next step is

Tap A, B, C or D.

Answer: A) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

81. Grade 8 math — pythagorean: practice check 30 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

82. Grade 8 math — pythagorean: practice check 31 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

83. Grade 8 math — pythagorean: practice check 32 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

84. Grade 8 math — pythagorean: practice check 33 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

85. Grade 8 math — pythagorean: practice check 34 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

86. Grade 8 math — pythagorean: practice check 35 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

87. Grade 8 math — pythagorean: practice check 36 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

88. Grade 8 math — pythagorean: practice check 37 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

89. Grade 8 math — pythagorean: practice check 38 — the reliable next step is

Tap A, B, C or D.

Answer: B) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

90. Grade 8 math — pythagorean: practice check 39 — the reliable next step is

Tap A, B, C or D.

Answer: B) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

91. Grade 8 math — pythagorean: practice check 40 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

92. Grade 8 math — pythagorean: practice check 41 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

93. Grade 8 math — pythagorean: practice check 42 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

94. Grade 8 math — pythagorean: practice check 43 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

95. Grade 8 math — pythagorean: practice check 44 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

96. Grade 8 math — pythagorean: practice check 45 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

97. Grade 8 math — pythagorean: practice check 46 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

98. Grade 8 math — pythagorean: practice check 47 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

99. Grade 8 math — pythagorean: practice check 48 — the reliable next step is

Tap A, B, C or D.

Answer: A) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

100. Grade 8 math — pythagorean: practice check 49 — the reliable next step is

Tap A, B, C or D.

Answer: A) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.