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Practice Test 9 - ISEE Middle Level Quantitative Reasoning

20 questions. Answer them in any order, then submit to see your score and every explanation.

  1. After a 20% price increase, the new price of a bicycle is $300. The store owner then offers a 10% discount on the new price. What was the original price of the bicycle before the increase?
  2. A sequence of fractions is 1/3, 2/5, 3/7, 4/9, ... . If the pattern continues, which of the following describes the rule for finding the nth fraction in the sequence?
  3. Rectangle R has a length of 12 and a width of 8. Column A: The perimeter of a square with the same area as Rectangle R. Column B: The perimeter of Rectangle R.
  4. The numbers in a set are {2, 3, 3, 5, 6, 8, 13}. If one number is chosen at random from the set, what is the probability that the chosen number is greater than the median of the set?
  5. A teacher buys pp packs of pencils at $6 each, plus $5 shipping. What expression represents the total cost of items?
  6. If the starting number x0x_0 is 20, what is the value of the second output, x2x_2?
  7. A student has $45 for a party. Cups cost $3 each and plates cost $2 each. Which equation fits 3c+2p≤453c+2p\le45?
  8. Column A: The perimeter of Rectangle Q divided by the perimeter of Rectangle P. Column B: 5
  9. The terms in a sequence are generated by the rule V = n³ - 2n², where V is the value of the term and n is its position number (n=1, 2, 3...). What is the first term to have a value greater than 50?
  10. The number of students in a club is between 20 and 40. When they are arranged in groups of 4, there is 1 student left over. When they are arranged in groups of 5, there are 2 students left over. How many students are in the club?
  11. Column A: The amount of sugar needed for a batch using 12 cups of flour. Column B: The amount of flour needed for a batch using 8 cups of sugar.
  12. A car travels 165 miles using 5 gallons of gasoline. At this rate, how many gallons of gasoline would be needed to travel 396 miles?
  13. A coupon gives 75% off; what decimal represents 75% for quick price calculations?
  14. A student arranged 36 chairs; which number is a factor of 36?
  15. A figure on a coordinate plane is rotated 270 degrees counterclockwise about the origin. Which of the following transformations would map the new, rotated figure back to its original position?
  16. A salesperson earns a monthly salary of $2,000 plus a 4% commission on all sales over $10,000. If their total sales for the month were $40,000, what were their total earnings for the month?
  17. Information for the following question: -1 < x < 0 Compare the quantities in Column A and Column B. Column A: x Column B: 1/x
  18. Cylinder A has a radius of 4 and a height of 9. Cylinder B has a radius of 6 and a height of 4. Column A: The volume of Cylinder A. Column B: The volume of Cylinder B.
  19. A clearance tag shows 0.125 off; what fraction is equivalent to the decimal 0.125?
  20. Students pour 2.00 L of water into a container for testing. What is 2.00 L in gallons?

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