Practice Test 3 - SSAT Upper Level Quantitative

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

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1. A pharmaceutical company produces liquid medicine in 250-milliliter bottles. If a patient needs to take 1.5 teaspoons three times daily, how many complete days will one bottle last? (1 teaspoon = 4.93 milliliters)
2. Machine A produces 180 parts in 6 hours while Machine B produces 350 parts in 14 hours. If both machines operate simultaneously for 8 hours, approximately how many total parts will be produced?
3. Which list is ordered from least to greatest?
4. A recipe calls for 2.5 cups of flour. If Sarah only has a measuring spoon that holds 2 tablespoons, how many scoops will she need? (1 cup = 16 tablespoons)
5. Which of the following lists the values $\frac{5}{8}$, $62\%$, and $0.627$ in ascending order?
6. What is the value of $4 + 2[3^2 - 2(5 - 3)]$?
7. When the equation $ax + 1 = 3x - 7$ has the solution $x = 4$, the value of $a^2 - 3a$ is:
8. If $p$ and $q$ are distinct primes, which statement must be true?
9. A water tank holds 450 liters when full. If water flows out at a rate of 3.5 gallons per minute, how long will it take to empty a full tank? (1 gallon = 3.785 liters)
10. A store increases the price of a jacket by $25\%$, then offers a $20\%$ discount on the new price. If the final price is $96, what was the original price of the jacket?
11. If $m = 2^3 \cdot 3^2 \cdot 5$ and $n = 2^2 \cdot 3 \cdot 7$, what can be concluded about $m + n$?
12. A recipe calls for $\frac{3}{8}$ cup of sugar. Maria has $0.4$ cups of sugar available. Which statement is true?
13. A regular hexagon is inscribed in a circle with radius 8 cm. What is the perimeter of the hexagon?
14. The ratio of boys to girls in a school choir is $5:7$. After $6$ new girls join the choir, the ratio becomes $5:8$. How many boys are currently in the choir?
15. Which of the following is true?
16. A map has a scale where $1.5$ inches represents $12$ miles. If two cities are $8.5$ inches apart on the map, and a car travels between them at an average speed of $51$ miles per hour, how long will the trip take?
17. Scores: 7/8, 0.82, 83%. Which shows least-to-greatest order?
18. A stock's value decreased by $30\%$ on Monday. By what percent must it increase on Tuesday to return to its original value?
19. The population of a town decreased by $15\%$ in the first year and then increased by $20\%$ in the second year. If the population at the end of two years is $10,200$, what was the population at the beginning of the first year?
20. At a farmer's market, apples cost $2.50 per pound and oranges cost $3.20 per pound. A customer buys $a$ pounds of apples and $o$ pounds of oranges, then uses a coupon for $1.75 off the total purchase. Which expression represents the amount the customer actually pays?

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