Practice Test 5 - ISEE Middle Level Mathematics Achievement

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

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1. A 12-ounce bottle of conditioner costs $4.80. A larger 1.5-pound bottle of the same conditioner is on sale for $8.64. How much is saved per ounce by buying the larger bottle? (Note: 1 pound = 16 ounces)
2. Point P has coordinates (a, b) and lies in Quadrant II. Point Q is the reflection of point P across the x-axis. In which quadrant does point Q lie?
3. A long-distance runner finished a 26-mile marathon in 4 hours. For the first 10 miles, her average speed was 7.5 miles per hour. What was her average speed, in miles per hour, for the remaining 16 miles of the race?
4. A lab uses $8$ grams of Chemical A plus $3$ grams per trial of Chemical B. For $t$ trials, write $G$.
5. Find the missing term in the sequence: 4, 1, 8, 4, 16, 7, 32, $\underline{\hspace{2em}}$.
6. In a cafeteria, Line A has 30 students, 12 of whom are buying pizza. Line B has 25 students, 10 of whom are buying pizza. Compare the probability that a randomly selected student from Line A is NOT buying pizza to the probability that a randomly selected student from Line B IS buying pizza.
7. A car travels at a constant speed for 3 hours and goes 180 miles. The driver does not stop, and the distance stays the same the whole time. Let $x$ be the car's speed in miles per hour. The situation can be written as $3x = 180$. Solve for $x$ in the equation $3x = 180$.
8. Start at 8: 8, 12, 16, 20, 24. Rule?
9. What is the value of $0.5 \times (10.6 - 4.6) + 12 \div 0.3$?
10. The probability that event A occurs is 0.4, and the probability that event B occurs is 0.5. If the probability that both A and B occur is 0.1, what is the probability that neither A nor B occurs?
11. An integer is randomly selected from the integers 1 to 40, inclusive. What is the probability that the selected integer is a multiple of 4 or a multiple of 6?
12. Which expression has the greatest value?
13. For the set of numbers {7, 2, 8, 2, 6}, which of the following statements is true?
14. A class orders 9 identical pizzas for a total of $99. Each pizza costs the same amount, and delivery is free. Let $x$ be the cost of one pizza. The situation is represented by $9x = 99$. Solve for $x$ in the equation $9x = 99$.
15. Sam is 4 years younger than twice his sister's age. The sum of their ages is 26. How old is Sam?
16. In a game, $P(\text{red die}=6)=\frac{1}{6}$ and $P(\text{blue die}=5)=\frac{1}{3}$. Which is more likely?
17. A numerical pattern starts with -18 and continues as follows: -18, -13, -8, -3, ... What is the rule for finding the next number in this arithmetic pattern?
18. Planning a party at a community center costs $15 for a room rental plus $9.50 per person attending. If the total budget for the party is $186, which equation determines the number of people, p, that can attend?
19. What is the result of evaluating the expression $20 - |-12| \div 3 + |5 - 9|$?
20. A rectangular floor measuring 10 feet by 12 feet is to be completely covered by square tiles measuring 8 inches on a side. How many tiles are required?

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