Practice Test 10 - 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. For a birdhouse roof, you need $1\ 3/5$ feet, but you subtract $4/5$ foot for a notch. Result?
2. A prism has a height of 12 cm. Its base is a right triangle with legs of 6 cm and 8 cm. What is the volume of the prism?
3. Daniel had a certain amount of money. He spent $25 on a book. Then, he gave half of the remaining money to his brother. If he now has $40, how much money did Daniel have initially?
4. A point starts at (8, -6). It is translated 4 units up. Then, its new coordinates are both halved. What are the final coordinates of the point?
5. Consider the sequence of fractions: $\frac{1}{3}, \frac{2}{5}, \frac{3}{7}, \frac{4}{9}, ...$. Which rule describes how to generate the next fraction in the sequence from the previous one?
6. For what value of $k$ is $x = 5$ a solution to the equation $3(x - 2) + k = 4x - 1$?
7. A bag contains 20 balls, some of which are white and the rest are black. The probability of drawing a white ball is $\frac{2}{5}$. After 5 white balls are removed, what is the new probability of drawing a white ball?
8. A bookshelf is 4 feet long. A student wants to line up books that are each 1.5 inches thick. What is the maximum number of these books that can fit standing up on the shelf? (Note: 1 foot = 12 inches)
9. Weather says $P(\text{rain in City A})=40\%$ and $P(\text{rain in City B})=55\%$. Which is more likely?
10. A rectangular room is 15 feet long and 12 feet wide. What is the area of the room in square yards? (Note: 1 yard = 3 feet)
11. An ant is at (-2, 1) and wants to reach a crumb of sugar at (4, 9). The ant can only move along the grid lines of the coordinate plane. What is the minimum number of units the ant must travel?
12. Start at 4: 4, 9, 14, 19, 24. What is the rule?
13. An old clock loses 5 minutes every 2 hours. If the clock is set to the correct time at 8:00 AM on Monday, what time will the clock show at 8:00 AM on Tuesday?
14. While baking, you use $1\ 1/2$ cups flour, then add $3/4$ cup more. After adding, how much flour?
15. A rectangular swimming pool is 20 meters long, 10 meters wide, and 2 meters deep. It is being filled with water at a rate of 40 cubic meters per hour. How many hours will it take to fill the pool?
16. Start with the number 100. Multiply it by 4, subtract 60, divide the result by 2, and then add 15. What is the final number?
17. You spin a wheel with 8 equal sections: 3 blue, 2 red, 2 green, 1 yellow. What is the probability of blue outcome?
18. What is the next number in the sequence? 2, 5, 7, 12, 19, ...
19. The sum of three consecutive odd integers is 141. If n represents the smallest of these integers, which equation models this situation?
20. A 500-gallon tank that started with 75 gallons of water is being filled at a rate of 40 gallons per minute. At the same time, water is draining out at a rate of 15 gallons per minute. Which equation determines the time, t, in minutes until the tank is full?

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