Practice Test 8 - ISEE Upper Level Quantitative Reasoning

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

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1. In a chemistry lab, the ratio of water to salt in a solution is 7:2. If the solution contains 28 milliliters of water, how many milliliters of salt does it contain?
2. A water tank leaks at a rate of 3.7 gallons per hour. The tank originally held 284 gallons. After how many hours will approximately 75% of the water have leaked out?
3. Celsius-to-Fahrenheit follows $F=\frac{9}{5}C+32$. What is the output when input $C$ equals 0?​​
4. Two angles of a triangle are 45° and 67°. What is the measure of an exterior angle adjacent to the third angle?
5. The scale on a map shows that 2 inches represents 15 miles. If two cities are 8.5 inches apart on the map, what is the actual distance between them?
6. A swimming pool pump moves water at a rate of 850 gallons per hour. How many liters per minute is this? (Note: 1 gallon ≈ 3.785 liters)
7. A geometric sequence has its first term equal to 3 and its fourth term equal to 192. What is the second term?
8. A rectangular parking lot measures 80 meters by 60 meters. If each parking space is 2.5 meters wide and 5 meters long, and 15% of the lot must remain as driving lanes, how many parking spaces can fit?
9. Maria earns $d$ dollars per hour for regular work and $1.5d$ dollars per hour for overtime work. Last week she worked $r$ regular hours and $t$ overtime hours. Which expression represents her total earnings for the week?
10. The sequence 1, 4, 9, 16, 25, ... represents perfect squares. What is the difference between the 12th and 10th terms of this sequence?
11. A rectangular swimming pool measures 25 meters long and 15 meters wide. If the pool needs to be filled to a depth of 1.8 meters, how many liters of water are required? (Note: 1 cubic meter = 1,000 liters)
12. A copy machine makes 240 copies in 3 minutes. At this rate, how many copies can it make in 7 minutes and 30 seconds?
13. A school's student-to-teacher ratio is $25:1$. If the school has 450 students, and 50 students transfer out while 2 new teachers are hired, what is the new student-to-teacher ratio?
14. A rectangular parking lot is 187 feet long and 94 feet wide. If each parking space requires approximately 180 square feet, about how many cars can park in the lot?
15. The dot plot shows the number of pets owned by students in Mr. Thompson's class. What is the mode of this data set?
16. An arithmetic sequence has 15 terms. The first term is 4 and the last term is 46. What is the sum of all terms in this sequence?
17. Two similar rectangles have areas in the ratio 4:9. If the length of the smaller rectangle is 8 inches, what is the length of the larger rectangle?
18. In a science lab, a beaker held 1.5 gallons of solution, but the worksheet required liters. The student used $1\text{ gal}=3.785\text{ L}$ and computed $\text{L}=\text{gal}\times3.785$. How many liters was 1.5 gal, rounded to one decimal place?
19. The stacked bar chart shows the composition of three different trail mixes by ingredient type. Which trail mix has the highest proportion of nuts?
20. A population of rabbits grows according to $P = 50 \cdot 3^{t/2}$, where $P$ is the population and $t$ is time in months. What does the expression $t/2$ represent in this growth model?

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