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Math 8 (Grade 8) Midterm — Units 1–2

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Math Grade 8 20 multiple choice + 1 written

Free printable Math 8 midterm (Grade 8): 20 multiple-choice questions plus 1 written response covering Exponents & Scientific Notation, Real Numbers & the Pythagorean Theorem. Answer key included — customize it in the Midterm Maker.

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Math 8 (Grade 8) Midterm — Units 1–2
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Directions: Read each question carefully and choose the best answer. Answer the written response in complete sentences.

Covers: Exponents & Scientific Notation · Real Numbers & the Pythagorean Theorem

Part 1: Multiple Choice

  1. What is the value of 5^0?
    1. A. 1
    2. B. 0
    3. C. 5
    4. D. -5
  2. What is (8 × 10^9) ÷ (2 × 10^3)?
    1. A. 4 × 10^12
    2. B. 4 × 10^6
    3. C. 6 × 10^6
    4. D. 4 × 10^3
  3. How many times greater is 6 × 10^8 than 2 × 10^5?
    1. A. 3 × 10^4
    2. B. 4 × 10^3
    3. C. 3 × 10^13
    4. D. 3 × 10^3
  4. What is (3 × 10^4)(2 × 10^3)?
    1. A. 6 × 10^7
    2. B. 6 × 10^12
    3. C. 5 × 10^7
    4. D. 6 × 10^1
  5. Which expression is equal to 3^4 × 3^2?
    1. A. 9^6
    2. B. 3^8
    3. C. 3^2
    4. D. 3^6
  6. How is 0.00045 written in scientific notation?
    1. A. 4.5 × 10^4
    2. B. 4.5 × 10^-3
    3. C. 4.5 × 10^-4
    4. D. 4.5 × 10^-5
  7. Which expression is equal to (2^3)^2?
    1. A. 2^5
    2. B. 2^6
    3. C. 4^5
    4. D. 2^9
  8. What is 3.2 × 10^5 written in standard form?
    1. A. 320,000
    2. B. 3,200,000
    3. C. 0.000032
    4. D. 32,000
  9. Which expression is equal to 7^5 ÷ 7^3?
    1. A. 7^8
    2. B. 1^2
    3. C. 7^15
    4. D. 7^2
  10. What is the value of 4^(-2)?
    1. A. -8
    2. B. -16
    3. C. 1/16
    4. D. 1/8
  11. What is the distance between the points (1, 2) and (4, 6) on a coordinate plane?
    1. A. 7
    2. B. 5
    3. C. 25
    4. D. √13
  12. The decimal 0.333... has a 3 that repeats forever. Which fraction is equal to it?
    1. A. 1/30
    2. B. 33/100
    3. C. 1/3
    4. D. 3/10
  13. A 10-foot ladder leans against a wall. Its base is 6 feet from the wall. How high up the wall does the ladder reach?
    1. A. 8 feet
    2. B. √136 feet
    3. C. 16 feet
    4. D. 4 feet
  14. What is the cube root of 125?
    1. A. 5
    2. B. 25
    3. C. 375
    4. D. 15
  15. Between which two consecutive whole numbers does √50 lie?
    1. A. 6 and 7
    2. B. 7 and 8
    3. C. 24 and 26
    4. D. 8 and 9
  16. Which number is irrational?
    1. A. 2/3
    2. B. √25
    3. C. 0.75
    4. D. √10
  17. Which list orders the numbers from least to greatest?
    1. A. 8/3, 2.5, √8, 3
    2. B. 2.5, √8, 8/3, 3
    3. C. 2.5, 8/3, √8, 3
    4. D. 2.5, 8/3, 3, √8
  18. A right triangle has a hypotenuse of 13 inches and one leg of 5 inches. How long is the other leg?
    1. A. 18 inches
    2. B. 8 inches
    3. C. √194 inches
    4. D. 12 inches
  19. Which set of side lengths forms a right triangle?
    1. A. 7, 8, 10
    2. B. 5, 11, 12
    3. C. 9, 12, 15
    4. D. 4, 5, 6
  20. A right triangle has legs of 6 cm and 8 cm. How long is the hypotenuse?
    1. A. 10 cm
    2. B. 12 cm
    3. C. 100 cm
    4. D. 14 cm

Part 2: Written Response

  1. A rectangular park is 120 m wide and 160 m long. Instead of walking along two sides from one corner to the opposite corner, Sam walks straight along the diagonal. How long is the diagonal, and how many meters does Sam save? Show your work.

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