Practice Test 11 - ISEE Middle Level Quantitative Reasoning

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

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1. A quadrilateral has no parallel sides but has two distinct pairs of equal-length adjacent sides. What is the most accurate name for this figure?
2. Pattern A follows the rule Tₙ = 2n + k, where k is a constant. The 5th term of Pattern A is 13. Pattern B follows the rule Tₙ = 4n + j, where j is a constant. The 3rd term of Pattern B is 11. Column A: The value of the 10th term of Pattern A. Column B: The value of the 6th term of Pattern B.
3. What is the average (arithmetic mean) of the set of all integers from –8 to 4, inclusive?
4. Column A: The height of the tree, in feet. Column B: 24 feet
5. The average of nine numbers is 20. If a new number, 50, is added to the set, what is the new average of the ten numbers?
6. A car travels 357 miles on 11.8 gallons of gasoline. Which of the following is the best estimate for the car's fuel efficiency in miles per gallon?
7. In a survey of 60 students, 25% preferred pizza, 1/3 preferred burgers, and 0.3 preferred tacos. The rest had no preference. Which food was the most popular?
8. The average (arithmetic mean) of three distinct positive integers is 8. The median of these three integers is 9. What is the largest possible value for one of these integers?
9. A party budget is $80. Balloons cost $5 per pack, and $p$ is packs bought. How does increasing $p$ affect money left?
10. A family maps a hike listed as 8 mi. What is the equivalent of 8 mi in km?
11. A baker boxed 60 cookies; what is the greatest common factor of 60 and 36?
12. A builder cuts a board that is 2.50 m long. What is 2.50 m in cm?
13. A type of soil weighs 80 pounds per cubic foot. A landscaper needs to fill a rectangular planter box that is 6 feet long, 3 feet wide, and 2 feet deep. How many tons does the required soil weigh? (Note: 1 ton = 2,000 pounds)
14. A car travels 396 miles on a full 18-gallon tank of gasoline. The driver plans a 484-mile trip. If gasoline costs $3.50 per gallon, what is the total cost of the gasoline the driver will need for the trip?
15. A fundraiser charges $8 for a T-shirt and $2 for a button. If $x$ is T-shirts and $y$ is buttons, which equation shows revenue $R$?
16. On a particular map, the scale is 2 inches to 5 miles. The distance on the map from Centerville to Oakdale is 11 inches. If a car travels at an average speed of 50 miles per hour, how many minutes will it take to drive from Centerville to Oakdale?
17. Column A: 0.8 - 1/4 Column B: 55%
18. A number is chosen at random from the integers 1 to 20, inclusive. What is the probability that the number is a factor of 24?
19. The function $C(k) = 1.61k$ converts a distance in kilometers, $k$, to miles. The function $F(m) = 5280m$ converts a distance in miles, $m$, to feet. Approximately how many feet are in a 10-kilometer race?
20. Column A: 0.2% of 1,000 Column B: 1,000% of 0.2

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