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Practice Test 2 - 6th Grade Math

18 of the 20 questions below are in this test; the other 2 can't be scored yet. Answer them in any order, then submit to see your score and every explanation.

  1. Jordan is buying snacks and wants to spend at most $50. Let xx be the total cost (in dollars). Which inequality represents this situation?
  2. A machine produces 450 widgets in 6 hours. At this same rate, the machine would need how many hours to produce 600 widgets?
  3. The lengths (in minutes) of 9 online videos watched by a student were: 4, 5, 5, 6, 6, 7, 20, 21, 22. Find the median and the range, and describe the overall pattern including any gap or cluster.
  4. Evaluate x2−5x^2-5 when x=4x=4.
  5. A hiker's elevation change is −14-14 meters (downhill) and a biker's elevation change is 66 meters (uphill). Which statement correctly compares the sizes of the changes and the actual changes?
  6. A bag contains red and black chips in a 3:2 ratio. Students draw chips with replacement 45 times. Based on the ratio, they expect about 27 red and 18 black chips. They actually get 24 red and 21 black chips. How should they interpret this difference?
  7. A stock's price changes over five days were: +$3.50+\$3.50, −$2.25-\$2.25, +$1.75+\$1.75, −$4.00-\$4.00, +$0.50+\$0.50. If the stock started at $25.00 per share, what does it mean when a stock price change is negative versus positive?
  8. A rectangle has length ll centimeters and width ww centimeters. Which expression represents the perimeter of the rectangle?
  9. A school librarian records how many books each 6th grader checked out in September by looking at the checkout system. Is the attribute under investigation quantitative or qualitative?
  10. Using the coordinate plane shown, which table correctly represents the plotted points?
  11. Angle A and angle B are complementary. Angle C is vertical to angle A. If angle B measures 38°38°, what is the measure of angle C?
  12. A recipe uses 3 cups of flour to make 12 muffins. If you want to make 20 muffins at the same rate, how many cups of flour will you need?
  13. Consider the equation 2x−3=x+12x - 3 = x + 1. If you solve this algebraically, you get x=4x = 4. Now test whether each value from the set {2,3,4,52, 3, 4, 5} actually satisfies the original equation by substitution. What do you discover?
  14. A recipe for bread dough calls for 480 grams of flour. Emma's measuring cup shows measurements in ounces. If she wants to make 2.5 times the recipe, how many ounces of flour does she need? (Use: 1 ounce ≈ 28.35 grams)
  15. The histogram below shows test scores (out of 100 points) for Mr. Johnson's math class. He wants to report a summary to parents that best represents his students' performance. Which measure of center should he use and why?
  16. A taxi company charges a base fee of $3.50 plus $0.75 for each mile traveled. If the rule for the total cost is C=3.50+0.75mC = 3.50 + 0.75m where mm is miles, which table correctly represents this relationship?
  17. A student measured the lengths (in cm) of 8 paper strips: 11, 12, 12, 13, 13, 14, 15, 20. Which statement correctly explains the difference between a measure of center and a measure of variation?
  18. A car travels at a constant speed of 50 miles per hour. Let tt be time in hours and dd be distance in miles. Which table correctly shows values that satisfy d=50td = 50t?
  19. Marcus runs 2.4 kilometers every morning. He wants to track his weekly distance in miles. If he runs 5 days per week for 3 weeks, approximately how many miles will he run in total? (Use 1 kilometer ≈ 0.62 miles)
  20. A cafeteria tracked the number of apples sold each day for 10 days: 18, 18, 19, 20, 20, 20, 21, 22, 22, 24. Which dot plot is correct on a number line from 18 to 24?

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