Practice Test 2 - 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 jacket is originally priced at $80. It is on sale for 25% off. A customer has an additional coupon for 10% off the sale price. How much does the customer pay for the jacket, before tax?
2. At a concert, the ratio of security guards to fans is 3 to 140. If 1,260 fans are in attendance, and 4 additional security guards are hired, what is the new ratio of security guards to fans?
3. A weekly temperature model is $T=52-2d$, where $d$ is days after Monday. Based on the scenario, what happens as $d$ increases?
4. A random number generator selects an integer from -5 to 5, inclusive. What is the probability that the selected number is positive and even?
5. A rental company charges for a tool using the formula $C = 8h + 10$, where $C$ is the total cost and $h$ is the number of hours the tool is rented. What does the 10 in the formula represent?
6. At a farm, the ratio of cows to sheep is 5:6. There are no other animals. If one-third of the cows and half of the sheep are brown, what is the ratio of brown cows to brown sheep?
7. The total surface area of a cube is 294 square centimeters. What is the volume of the cube in cubic centimeters?
8. A factory produced 1,798,650 computer chips in 305 days. On average, approximately how many chips were produced each day?
9. An inlet pipe can fill a tank in 5 hours. An outlet pipe can drain the same tank in 8 hours. If the tank is empty and both pipes are opened simultaneously, how long will it take to fill the tank?
10. Two gears are connected. The larger gear has 48 teeth and the smaller gear has 36 teeth. For every 15 rotations the larger gear makes, how many rotations does the smaller gear make?
11. A painter can paint 2 rooms in 5 hours. At this rate, how many minutes will it take the painter to paint 3 rooms?
12. A right pyramid has a base that is a regular polygon. If the pyramid has a total of six faces, what is the shape of its base?
13. Car distance rule: $d = 30t$. Find $d$ when $t = 4$.
14. A club sells bracelets for $b$ dollars each and sells 30 bracelets; what does $b$ represent?
15. A student's score on a test improved from 60 points to 75 points. What was the percent increase in the student's score?
16. A car's gas tank holds 15 gallons. The car gets 28 miles per gallon. If the driver starts with a full tank and drives 350 miles, what fraction of the tank is full at the end of the trip?
17. What is Alex's final grade in the class?
18. The total money $M$ in dollars raised by a participant in a charity walk-a-thon is modeled by $M = 25 + 5k$, where $k$ is the number of kilometers walked. What does the term (5k) represent?
19. A student buys $n$ notebooks at $4 each and $p$ pens at $2 each; which equation fits total $C$?
20. Fill in the blank: $81, 27, 9, <u>?</u>, 1$.

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