Practice Test 10 - 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. What was the average rate of change in the number of visitors per year from 2010 to 2020?
2. There are four fundamental types of rigid transformations in a plane. Three of these transformations preserve orientation, meaning the vertices of a figure remain in the same order (e.g., clockwise). Which transformation does NOT always preserve orientation?
3. Column A: The student-to-teacher ratio at School X. Column B: The student-to-teacher ratio at School Y.
4. A landscape designer creates a garden shaped like a quadrilateral with exactly one pair of parallel sides. The angles at one of the parallel sides measure 90° and 110°. What is the most specific name for this shape?
5. A bus travels 180 miles in four hours. At this rate, how long for 315 miles?
6. A student arranged 36 chairs; which number is not a factor of 36?
7. A class sells $s$ bracelets for $4 each at a fundraiser. How would you express the total earnings in this scenario?
8. The product of two distinct prime numbers is 82. What is the sum of these two numbers?
9. Mixture A contains juice and water in a ratio of 2:5. Mixture B has a juice concentration of 30%. Which statement is true?
10. The probability of a certain event NOT occurring is four times the probability that it does occur. What is the probability that the event occurs?
11. A recipe makes $12$ servings using $3$ cups of rice. If $r$ is cups of rice, which expression gives servings $s$?
12. Fill in the blank: 6, 10, 14, __, 22.
13. What is the mean daily temperature from 61, 63, 62, 60, 61, 47, 62?
14. The length of a rectangular block of clay is doubled, its width is tripled, and its height is halved. What is the ratio of the new volume to the original volume?
15. A student estimated the length of a rope to be 80 cm. The actual length was 64 cm. What was the percent error of the student's estimate relative to the actual length?
16. A drawer contains 6 black socks and 4 white socks. Two socks are drawn at random without replacement. What is the probability that both socks are white?
17. Column A: The actual length, in feet, of a wall that is 4.5 inches long on the blueprint. Column B: 18 feet
18. A regular decagon is a polygon with ten equal sides and ten equal interior angles. How many lines of symmetry does a regular decagon possess?
19. Triangle PQR has vertices P(1, 4), Q(3, 8), and R(5, 4). After a translation, the image of vertex P is P'(–2, 1). If the same translation is applied to the entire triangle, what are the coordinates of R'?
20. Commission rule: $c = 3s + 10$. Find $c$ when $s = 6$.

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