Practice Test 12 - SSAT Middle Level Quantitative

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

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1. What is 15% of 40% of 200?
2. What operation is used to generate $7, 14, 28, 56, 112$?
3. Based on the table shown, what is the average number of books sold per day during the 5-day period?
4. A runner's pace used $p = t/d$; if $t = 18$ and $d = 3$, evaluate $p$.
5. Real-life applications: A round table has a center point, and you can measure a radius from the center to the edge. If you draw a straight line across the tabletop through the center, that line is the diameter. A chord is any straight segment that connects two points on the edge. The diameter is a chord, but not all chords are diameters. Which statement about the radius and chord of a circle is true?
6. The sequence 4, 12, 36, 108, ... represents the number of bacteria in a culture where the population triples every hour. After how many hours will the population first exceed 50,000?
7. What comes next: 100, 50, 25, 12.5, ___?
8. A recipe calls for ingredients in the ratio $\frac{2}{5} : \frac{4}{10}$. What can be concluded about these two amounts?
9. Based on the table, which person has the fastest typing speed?
10. A rectangular room has a volume of 2,400 cubic feet. If the length is 20 feet and the width is 15 feet, and the ceiling height is increased by 25%, what will be the new volume?
11. If $3^{m+1} = 27^2$, what is the value of $m$?
12. A garden sprinkler uses 18 gallons of water in 30 minutes. How many gallons will it use in 2 hours and 45 minutes?
13. If $p$ is a prime number greater than $2$, which of the following expressions must represent a composite number?
14. In equilateral triangle PQR, an exterior angle at vertex Q is bisected by ray QS. What is the measure of each of the two angles formed by this bisector?
15. Maria bought a notebook and spent $3 more than twice what she had planned to spend. If she actually spent $15, how much had she planned to spend?
16. Refers to the following table showing the results of a coin-flipping experiment conducted by four students. Which student had the greatest difference between their number of heads and number of tails?
17. At a bakery, muffins cost $m$ dollars each and cookies cost half as much as muffins. If Sarah buys 4 muffins and 6 cookies, which expression represents her total cost in dollars?
18. Predict the next number: $64, 32, 16, 8, 4, \;?$
19. A recipe calls for ingredients A, B, and C in the ratio $2:5:3$. If you want to make a batch that uses exactly $15$ units of ingredient B, how many units of ingredient C will you need?
20. A student lists four travel speeds from a trip that spent an equal amount of time at each speed: 60 mph, 55 mph, 70 mph, and 65 mph. The student adds them to get a total of 250 mph. Then the student divides by 4 to find the mean of the listed speeds. This mean is the average speed for those parts. What is the average speed over the entire trip?

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