Skip to main content
Sign in Create a free account
Varsity Tutors
Sign in Sign up

Practice Test 1 - ISEE Middle Level Quantitative Reasoning

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

  1. What fraction of the books are either Biography or Reference books, expressed in simplest form?
  2. Given the function f(x)=10−x3f(x) = 10 - x^3, what is the value of f(−2)f(-2)?
  3. Let pp be a prime number greater than 2. Compare the quantities in Column A and Column B. Column A: The number of positive factors of pp Column B: The number of positive factors of p+1p+1
  4. A miniature replica of a statue is 5 inches tall. A larger version of the statue is created by scaling up the replica's dimensions by a factor of 2.5. What is the difference in height between the larger version and the miniature replica?
  5. Column A: The cost of 10 feet of the same rope. Column B: The cost of 3 feet of a different rope that costs $5.50 per foot.
  6. The property tax on a home is proportional to its assessed value. A home with an assessed value of $200,000 has a property tax of $3,500. What is the property tax on a home with an assessed value of $280,000?
  7. An exchange booth gives 11 USD =2= 2 euros and charges a 44 euro fee. For 3030 USD, how many euros do you receive?
  8. A group of 4 friends buys 2 large pizzas at $14.50 each and 4 drinks at $2.25 each. If they split the total cost equally, how much does each friend pay?
  9. A recipe for a batch of cookies requires 34\frac{3}{4} cup of sugar. Liam wants to make 3 batches of cookies. He starts with a bag containing 4 cups of sugar. After making the cookies, how much sugar is left in the bag?
  10. A party budget is $60; snacks cost $3 each and drinks cost dd each; what is dd?
  11. An isosceles trapezoid that is not a parallelogram is reflected across the x-axis and then translated 5 units to the right. Which property must the final figure have?
  12. A certain regular polygon has interior angles that each measure 144°. How many sides does this polygon have?
  13. A corporation pledges to donate $10,000 plus 5% of its annual profits to a charity. The 5% donation only applies to the portion of profits that exceeds $1 million. If the corporation's annual profit is P dollars, and P > 1,000,000, which expression represents the total donation?
  14. A printer can print 240 pages in 8 minutes. The printer jams and is stopped for 5 minutes. After the jam is cleared, it prints another 300 pages at the same rate. What is the total time, in minutes, from the start of printing to the end?
  15. A manufacturing machine has a rule for converting an input value, x, into an output value, y. The rule is: "multiply the input by -4, then subtract the result from 10." Which equation correctly represents this rule?
  16. A transformation on the coordinate plane maps every point (x, y) to the point (–y, x). This transformation is equivalent to which of the following?
  17. What is the missing term: 5, 15, 45, __, 405?
  18. In a survey, 110 students, representing 40% of the seventh-grade class, said they prefer comedy movies. How many students are in the entire seventh-grade class?
  19. A triangle has angle measures of 45°, 45°, and 90°. Which of the following classifications does NOT apply to this triangle?
  20. A chef adds 3 tablespoons of oil to a sauce. If 11 tbsp =15= 15 mL, how many mL is that?

Practice tests