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Practice Test 12 - ISEE Upper Level Quantitative Reasoning

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

  1. A student calculated that 712=0.583‾\frac{7}{12} = 0.58\overline{3} and concluded that 712>58%\frac{7}{12} > 58\%. Is this conclusion correct?
  2. The scatter plot shows the relationship between hours of TV watching per week and GPA for high school students. Which statement best describes what the data reveals about outliers?
  3. A rectangular garden has length 33 meters more than twice its width. If the width is ww meters, which expression represents the perimeter of the garden?
  4. A teacher has recorded quiz scores with a mean of 75 and a standard deviation of 8. If she decides to adjust scores using the formula: New Score = 0.8 × (Old Score) + 15, what will be the new mean?
  5. A brick schedule shows 15,30,60,120,24015, 30, 60, 120, 240; determine whether it is arithmetic or geometric.
  6. Right triangle ABC is congruent to right triangle DEF. If the right angle in triangle ABC is at vertex C, and AC = 5, BC = 12, what is the length of the hypotenuse in triangle DEF?
  7. In the sequence 2, 6, 18, 54, 162, ..., each term after the first is obtained by multiplying the previous term by 3. What is the sum of the first 6 terms?
  8. A coin is flipped three times. What is the probability that exactly two heads occur, given that at least one head occurs?
  9. In quadrilateral PQRS, consecutive angles measure 95°, 87°, and 92°. What is the measure of the fourth angle?
  10. If xx percent of 60 is equal to 34\frac{3}{4} of 32, find the value of xx as a decimal.
  11. What is the total cost for 2.5 lb at $3.20 per lb and 1.0 lb at $4.10 per lb?
  12. For which value of cc does the equation 3x+c=cx+93x + c = cx + 9 have exactly one solution?
  13. The sequence 1,1,2,3,5,8,13,...1, 1, 2, 3, 5, 8, 13, ... follows the Fibonacci pattern where each term after the second is the sum of the two preceding terms. What is the 12th term?
  14. A pattern of dots is arranged in squares. The first square has 1 dot, the second has 4 dots, the third has 9 dots, and the fourth has 16 dots. If this pattern continues, how many dots will be in the 15th square?
  15. A scientist measures atmospheric pressure as 14.7 pounds per square inch. What is this pressure in pascals? (Note: 1 psi = 6,895 pascals)
  16. A delivery truck travels 240 miles and uses 15 gallons of fuel. What is the truck's fuel efficiency in kilometers per liter? (Note: 1 mile ≈ 1.609 kilometers, 1 gallon ≈ 3.785 liters)
  17. A computer processes data at 2.4 gigabytes per second. How many megabytes can it process in 0.25 minutes? (Note: 1 gigabyte = 1,024 megabytes)
  18. A savings account starts with $100 and earns $5 each year. What is the output after 6 years?​​
  19. Two similar triangles have a ratio of corresponding sides of 3:5. If the area of the smaller triangle is 27 square units, what is the area of the larger triangle?
  20. The histogram displays the distribution of quiz scores for a statistics class. Based on the shape of the distribution, which measure of central tendency would be most appropriate to report?

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