Practice Test 8 - 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. In a class of 25 students, 12 students are 11 years old, 8 students are 12 years old, and 5 students are 13 years old. What is the mean age of the students in the class, to the nearest tenth of a year?
2. If $a=1/2$ and $b=4$, what is the value of $b^2 \div b - 6a$?
3. Point A is reflected across the y-axis to get point B(6, -2). What are the coordinates of point A?
4. A tank can hold 500 liters of water, and at this volume, the water has a mass of 500 kilograms. If the tank is currently 40% full, what is the mass of the water in the tank, in grams? (Note: 1 kilogram = 1,000 grams)
5. A rectangle has an area of 72 square inches. If its length and width are both integers, what is the greatest possible perimeter of the rectangle in inches?
6. On Monday, a seedling was $3\frac{1}{4}$ inches tall. By Wednesday, it had grown $1\frac{1}{8}$ inches. By Friday, it had grown another $\frac{3}{4}$ of an inch. What was the total height of the seedling on Friday?
7. A quadrilateral has diagonals that are congruent, perpendicular, and bisect each other. What is the most specific name for this shape?
8. Three points, A(1, 2), B(3, 8), and C(5, 14), are plotted on a coordinate plane. Which statement best describes these points?
9. A recipe for one dozen cookies requires $\frac{3}{4}$ cup of flour. A baker wants to make $2\frac{1}{2}$ dozen cookies. How many cups of flour will the baker need?
10. A baker has $13\frac{1}{2}$ cups of sugar. A recipe for one batch of muffins requires $\frac{3}{4}$ cup of sugar. How many full batches of muffins can the baker make?
11. Which number completes the sequence: 5, 9, $\underline{\hspace{2em}}$, 17?
12. A cell phone plan costs $25 per month, which includes 2 gigabytes (GB) of data. Any additional data costs $8 per gigabyte. If a customer used 5.5 GB of data in one month, what was their total bill?
13. A 5-pound bag of apples costs $7.50. After peeling and coring, the edible portion of the apples is 80% of the original weight. What is the cost per pound of the edible portion of the apples?
14. Find the next number in the pattern: 5, 6, 10, 19, 35, ...
15. A solid concrete block is a cube with a side length of 20 cm. A cylindrical hole with a diameter of 10 cm is drilled all the way through the center of one face to the opposite face. What is the volume of the concrete remaining in the block? Use 3 for π.
16. A streaming service charges $12 each month plus a $5 one-time fee. After a few months, the total cost is $53. Let $x$ be the number of months paid for. This situation is represented by $12x + 5 = 53$. If $12x + 5 = 53$, what is $x$?
17. A water tank is currently filled with 45 gallons of water, which is $\frac{3}{5}$ of its total capacity. What is the total capacity of the tank in gallons?
18. Which placement of parentheses in the expression $6 \times 8 - 5 + 2$ results in a value of 20?
19. A company has fixed costs of $500$ dollars and earns $20$ dollars per unit sold. Choose $P$.​​
20. Ava deposits $200$ dollars, then saves $10$ dollars each month for $m$ months. Which is correct?​​

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