Practice Test 12 - 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 taxi fare $F$ in dollars is calculated based on the distance of the trip, $m$ miles, and the number of passengers, $p$, using the formula $F = 2.50 + 2.75m + 0.50(p-1)$. This formula is used for groups with one or more passengers. What does the term $0.50(p-1)$ represent?
2. Leo read 30% of a novel on Saturday. On Sunday, he read 2/5 of the remaining pages. If he still has 147 pages left to read, what is the total number of pages in the novel?
3. What is the smallest possible integer in this data set?
4. Fill in the blank: 1, 4, 16, __, 256.
5. A store owner buys a tablet for a certain cost, $c$. To set the selling price, she marks up the cost by 25%. If the final selling price is $300, what was the original cost, $c$?
6. Consider the following sequence: 3, 4, 7, 11, 18, 29, ... What is the first term in the sequence that is greater than 100?
7. An airplane flies at an altitude of 31,850 feet. A mountain peak is 14,970 feet high. Approximately how many times higher is the airplane's altitude than the mountain's height?
8. A school store sells pencils in packages of 12 and erasers in packages of 10. If the store wishes to sell the same number of pencils as erasers, what is the minimum number of pencils it must sell?
9. At a carnival, Ben won 12 tickets. Sarah won twice as many tickets as Ben. Marco won 8 fewer tickets than Sarah. How many tickets did they win in total?
10. Information for the following question: y is a positive integer. Compare the quantities in Column A and Column B. Column A: $(3/4)^y$ Column B: $(4/5)^y$
11. Compare the quantities in Column A and Column B. Column A: -5/6 Column B: -0.83
12. Each day, a scientist observes that a certain bacterial culture consumes one-third of the nutrients in its petri dish. If the dish started with a full supply of nutrients on Monday morning, what fraction of the original nutrients will remain at the start of business on Thursday morning?
13. The terms in a sequence are 1/2, 1, 2, 4, ... If the pattern continues, what is the 10th term?
14. If 8 oranges cost $3.60, what is the cost of 1.5 dozen oranges?
15. The cost $C$ to frame a rectangular picture is given by the formula $C = 1.50(2l + 2w) + 10$, where $l$ and $w$ are the length and width in inches. What does the value 10 most likely represent?
16. A car travels at constant speed: $d = 50t$. Find $d$ when $t = 3$.
17. The $n$-th term of a sequence is determined by the function $T(n) = n^2 - 2n + 5$. What is the 8th term in this sequence?
18. A road trip has legs of 120 miles, 85 miles, and 95 miles; at 25 miles per gallon, how much fuel is needed for the entire trip?
19. What is the missing term: 11, 14, 17, __, 23?
20. Consider the sequence where the n-th term is given by the formula 3n² - 5. What is the 6th term of this sequence?

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