Practice Test 11 - 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. A bakery makes muffins and sells them for $2.50 each. The daily fixed costs are $45, and each muffin costs $0.80 to make. How many muffins must be sold in one day to make a profit of at least $85?
2. Ava runs at r miles per hour for t hours at practice. She then jogs at j miles per hour for h hours after practice. How would you write an expression to represent the total distance traveled?
3. What number completes the sequence: 3, 6, 12, __, 48?
4. What is the rule for $8, 12, 18, 27, 40, 60$?
5. Questions 21-23 refer to the following information. What fraction of the total weekly sales do bagels represent?
6. A proportion states that $\frac{5}{8} = \frac{x}{24}$. After solving for $x$, the resulting fraction $\frac{x}{24}$ is reduced to lowest terms. What is this reduced fraction?
7. On a map, 2.5 centimeters represents 15 kilometers. If two cities are 45 kilometers apart in reality, how far apart are they on this map?
8. The population of a town decreased by 15% in the first decade and increased by 25% in the second decade. If the population is now 25,500, what was the population 20 years ago?
9. A sequence starts with 100 and each term is half the previous term. Which term will be the first term less than 1?
10. A school's enrollment ratio of 6th graders to 7th graders to 8th graders is 5:4:3. If there are 180 students total in these three grades, how many 7th graders are there?
11. A bus travels 168 miles in 3.5 hours. At this speed, how far will it travel in 5 hours and 15 minutes?
12. Which of the following numbers is divisible by 8?
13. In the pattern 1, 4, 9, 16, 25, 36, ..., what is the difference between the 15th and 12th terms?
14. A car goes 180 miles in six hours; solve $6x = 180$.
15. The temperature at 6 AM was $-8°F$. By noon, it had risen $15°F$, and by 6 PM it had dropped $9°F$ from the noon temperature. At midnight, the temperature was $3°F$ warmer than it was at 6 PM. What was the temperature at midnight?
16. A rhombus has the same perimeter as a rectangle with length 18 meters and width 6 meters. What is the side length of the rhombus?
17. If $k = 2j - 1$ and $j = 3$, what is the value of $k^2 - 2k + 1$?
18. The differences between consecutive terms in a sequence are 2, 6, 18, 54, ... If the first term of the sequence is 5, what is the 5th term?
19. Calculate the value of $7.2-\left(1.5+0.9\right)\times2$ using the correct order of operations.
20. What comes next: 40, 35, 30, 25, ___?

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