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Math 6 (Grade 6) Midterm — Units 5–6

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Math Grade 6 20 multiple choice + 1 written

Free printable Math 6 midterm (Grade 6): 20 multiple-choice questions plus 1 written response covering Equations & Inequalities, Geometry & Statistics. Answer key included — customize it in the Midterm Maker.

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Math 6 (Grade 6) Midterm — Units 5–6
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Directions: Read each question carefully and choose the best answer. Answer the written response in complete sentences.

Covers: Equations & Inequalities · Geometry & Statistics

Part 1: Multiple Choice

  1. 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
  2. Solve: 6y = 54
    1. A. y = 9
    2. B. y = 60
    3. C. y = 324
    4. D. y = 48
  3. Solve: x/4 = 7
    1. A. x = 3
    2. B. x = 28
    3. C. x = 11
    4. D. x = 1.75
  4. Solve: x + 9 = 23
    1. A. x = 14
    2. B. x = 2
    3. C. x = 32
    4. D. x = 207
  5. Which value of x makes the inequality x + 7 > 12 true?
    1. A. 4
    2. B. 5
    3. C. 6
    4. D. 0
  6. To go on a ride, a rider must be at least 48 inches tall. Which inequality shows the allowed heights, h?
    1. A. h ≥ 48
    2. B. h ≤ 48
    3. C. h < 48
    4. D. h > 48
  7. Maria has saved $45. She needs $120 for a bike. Which equation can be used to find m, the amount she still needs?
    1. A. 45m = 120
    2. B. 120 + 45 = m
    3. C. m − 45 = 120
    4. D. 45 + m = 120
  8. Solve: n − 3.5 = 10
    1. A. n = 13.5
    2. B. n = 35
    3. C. n = 10.5
    4. D. n = 6.5
  9. Notebooks cost $4 each. The equation y = 4x gives the total cost y for x notebooks. Which is the dependent variable?
    1. A. 4, the price of one notebook
    2. B. y, the total cost
    3. C. x, the number of notebooks
    4. D. There is no dependent variable.
  10. How is the inequality x < 3 shown on a number line?
    1. A. An open circle at 3 with shading to the right
    2. B. A closed circle at 3 with shading to the right
    3. C. An open circle at 3 with shading to the left
    4. D. A closed circle at 3 with shading to the left
  11. What is the area of a parallelogram with a base of 8 cm and a height of 5 cm?
    1. A. 40 square cm
    2. B. 20 square cm
    3. C. 13 square cm
    4. D. 26 square cm
  12. 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
  13. What is the median of the data set 12, 5, 9, 15, 7, 10?
    1. A. 10
    2. B. 12
    3. C. 9.5
    4. D. 9
  14. 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
  15. What is the mean absolute deviation (MAD) of the data set 2, 4, 6, 8?
    1. A. 6
    2. B. 4
    3. C. 2
    4. D. 5
  16. What is the range of the data set 14, 22, 9, 30, 17?
    1. A. 17
    2. B. 21
    3. C. 9
    4. D. 30
  17. 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
  18. 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
  19. 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?
  20. What is the mean of the data set 2, 8, 6, 10, 9?
    1. A. 8
    2. B. 6
    3. C. 9
    4. D. 7

Part 2: Written Response

  1. 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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