Practice Test 3 - 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 polygon has at least one interior angle with a measure greater than 180°. Which of the following terms must be used to classify this polygon?
2. What would the average be without the outlier 95 in 68, 70, 72, 69, 71, 95?
3. A recipe for lemonade requires a ratio of lemon juice to sugar to water of 2:1:8. If you use 12 cups of water to make a batch of lemonade, how many total cups of lemonade will you make?
4. An employee earns $15 per hour for the first 40 hours worked in a week. For any hours worked over 40, the employee earns 1.5 times the regular hourly rate. If the employee worked 46 hours in one week, what were their total earnings for that week?
5. A faucet is leaking water at a rate of 200 milliliters per hour. How many full days will it take for the faucet to leak a total of 12 liters of water? (1 liter = 1000 milliliters)
6. Column A: 320% of N Column B: The value of N increased by 2.2 times its original value.
7. A family drives $h$ hours at 55 miles per hour. Which expression correctly models the travel distance?
8. A function $f(x)$ is defined as $f(x) = 2(x - 3)^2 + 5$. What is the output for an input of 1?
9. A sale price is 60% of the original; what fraction of the original price is 60%?
10. A school bake sale sells brownies for $1.50 each and cookies for $0.75 each. The ingredients cost a total of $45. If they sell 60 brownies and 80 cookies, what is the total profit from the bake sale?
11. Jaden walks $6$ miles at $3$ mph, then converts time using $1$ hour $= 60$ minutes. How many minutes does he walk?​
12. A bike is on sale for 1/3 off its original price. A different bike is on sale for 30% off its original price. If both bikes originally cost $210, which bike has a lower sale price?
13. An isosceles triangle has a perimeter of 39 inches. The base is 6 inches longer than each of the two equal sides. What is the length of the base?
14. The ratio of the side lengths of two similar squares is 3 to 5. If the area of the smaller square is 36 square centimeters, what is the area of the larger square?
15. A jar has 7 red, 2 blue, 1 white marble; what is the probability of red?
16. Based on this description, what conclusion can be drawn about the relationship between a car's age and its value?
17. A cyclist travels 30 miles in 2 hours and then travels another 60 miles in 3 hours. What is the cyclist's average speed in miles per hour for the entire journey?
18. A 50-liter solution is 20% salt. How many liters of pure water must be added to the solution to make it 10% salt?
19. The exchange rate is $1 = 0.50$ pounds. How many pounds do you get for $64?
20. The first five terms of a sequence are 2, 5, 10, 17, 26. Which rule describes the relationship between a term's value (V) and its position number (n) in the sequence?

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