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Math 6 (Grade 6) Midterm — Full-Course Review

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Math Grade 6 30 multiple choice + 2 written

Free printable Math 6 midterm (Grade 6): 30 multiple-choice questions plus 2 written responses covering Ratios & Rates, Fractions & Decimals, Integers & Rational Numbers, Expressions, Equations & Inequalities, Geometry & Statistics. Answer key included — customize it in the Midterm Maker.

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Math 6 (Grade 6) Midterm — Full-Course Review
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Directions: Read each question carefully and choose the best answer. Answer the written response in complete sentences.

Covers: Ratios & Rates · Fractions & Decimals · Integers & Rational Numbers · Expressions · Equations & Inequalities · Geometry & Statistics

Part 1: Multiple Choice

  1. A car travels 150 miles in 3 hours at a constant speed. What is its unit rate?
    1. A. 450 miles per hour
    2. B. 45 miles per hour
    3. C. 60 miles per hour
    4. D. 50 miles per hour
  2. How many inches are in 3.5 feet?
    1. A. 38
    2. B. 35
    3. C. 42
    4. D. 45
  3. Which ratio is equivalent to 6:9?
    1. A. 3:2
    2. B. 3:4
    3. C. 2:3
    4. D. 1:3
  4. A runner runs 5 kilometers in 25 minutes. At the same rate, how many minutes will it take to run 8 kilometers?
    1. A. 28
    2. B. 40
    3. C. 35
    4. D. 45
  5. What is 30% of 80?
    1. A. 24
    2. B. 240
    3. C. 2.4
    4. D. 50
  6. What is the least common multiple (LCM) of 6 and 8?
    1. A. 2
    2. B. 14
    3. C. 24
    4. D. 48
  7. What is 9.6 ÷ 0.3?
    1. A. 3.2
    2. B. 320
    3. C. 32
    4. D. 0.32
  8. A ribbon 5 1/4 yards long is cut into pieces that are each 3/4 yard long. How many pieces are there?
    1. A. 4
    2. B. 8
    3. C. 7
    4. D. 6
  9. Which expression shows 36 + 48 rewritten using the greatest common factor and the distributive property?
    1. A. 24(1 + 2)
    2. B. 6(6 + 12)
    3. C. 12(3 + 4)
    4. D. 12(3 + 8)
  10. What is the greatest common factor (GCF) of 24 and 36?
    1. A. 72
    2. B. 12
    3. C. 4
    4. D. 6
  11. Which number is between −2 and −1 on a number line?
    1. A. −2.5
    2. B. −0.5
    3. C. −1.5
    4. D. 1.5
  12. The point (4, −2) is reflected across the x-axis. What are the coordinates of its image?
    1. A. (−4, 2)
    2. B. (2, 4)
    3. C. (4, 2)
    4. D. (−4, −2)
  13. Which statement is true?
    1. A. −5 > −8
    2. B. −8 > −5
    3. C. |−5| > |−8|
    4. D. −5 < −8
  14. At 6 a.m. the temperature was −4°F. By noon it had risen 15 degrees. What was the temperature at noon?
    1. A. −19°F
    2. B. 19°F
    3. C. −11°F
    4. D. 11°F
  15. A diver is at an elevation of −30 feet. What does this mean?
    1. A. The diver is 30 feet above sea level.
    2. B. The diver is at sea level.
    3. C. The diver is 30 feet below sea level.
    4. D. The diver is 3 feet below sea level.
  16. Concert tickets cost $8 each, plus a $3 fee per order. Which expression gives the total cost of t tickets in one order?
    1. A. 11t
    2. B. 8t + 3
    3. C. 3t + 8
    4. D. 8(t + 3)
  17. Which expression represents "five less than twice a number n"?
    1. A. 2n − 5
    2. B. 5n − 2
    3. C. 5 − 2n
    4. D. 2(n − 5)
  18. Which expression is equivalent to 18m + 24?
    1. A. 3(6m + 4)
    2. B. 18(m + 6)
    3. C. 6(3m + 24)
    4. D. 6(3m + 4)
  19. Which expression is equivalent to 4a + 3b − a + 2b?
    1. A. 3a + 5b
    2. B. 3a + b
    3. C. 5a + 5b
    4. D. 4a + 5b
  20. What is the value of 2^3 + 4 × 3?
    1. A. 18
    2. B. 36
    3. C. 15
    4. D. 20
  21. Solve: n − 3.5 = 10
    1. A. n = 13.5
    2. B. n = 35
    3. C. n = 10.5
    4. D. n = 6.5
  22. Solve: 6y = 54
    1. A. y = 9
    2. B. y = 60
    3. C. y = 324
    4. D. y = 48
  23. Is x = 5 a solution of 3x − 4 = 11?
    1. A. No, because 3(5) − 4 = 7
    2. B. No, because 3(5) − 4 = 19
    3. C. Yes, because 3 + 5 − 4 = 11
    4. D. Yes, because 3(5) − 4 = 11
  24. Solve: x/4 = 7
    1. A. x = 3
    2. B. x = 28
    3. C. x = 11
    4. D. x = 1.75
  25. Which value of x makes the inequality x + 7 > 12 true?
    1. A. 4
    2. B. 5
    3. C. 6
    4. D. 0
  26. What is the interquartile range (IQR) of the data set 1, 3, 5, 7, 9, 11, 13, 15?
    1. A. 4
    2. B. 12
    3. C. 8
    4. D. 14
  27. Which is a statistical question?
    1. A. What time does our school's first bell ring?
    2. B. How many hours do students in my class sleep?
    3. C. How many days are there in a leap year?
    4. D. How many hours did my best friend sleep last night?
  28. What is the area of a triangle with a base of 10 units and a height of 6 units?
    1. A. 30 square units
    2. B. 16 square units
    3. C. 60 square units
    4. D. 36 square units
  29. What is the surface area of a cube with edges 3 inches long?
    1. A. 27 square inches
    2. B. 9 square inches
    3. C. 54 square inches
    4. D. 36 square inches
  30. What is the volume of a rectangular prism that is 3 ft long, 4 ft wide, and 1/2 ft tall?
    1. A. 7.5 cubic feet
    2. B. 12 cubic feet
    3. C. 6 cubic feet
    4. D. 3 cubic feet

Part 2: Written Response

  1. The temperature at midnight was −6°F, and it rose to 9°F by noon. Plot both temperatures on a number line and find the change. Explain how absolute value helps.
  2. Find the mean, median, and range of these quiz scores: 7, 9, 10, 6, 8, 10. Then explain which measure of center best describes the data and why.

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