Practice Test 4 - ISEE Middle Level Mathematics Achievement

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

Start practice test

1. A cylindrical beaker with a radius of 5 cm is filled with water to a height of 15 cm. When a solid metal cube is completely submerged in the water, the water level rises to 17 cm. What is the volume of the metal cube? Use 3.14 for π.
2. A trapezoid has vertices at A(1, 2), B(9, 2), C(7, 6), and D(3, 6). What is the area of the trapezoid?
3. What is the value of the expression $\frac{5^2 - (3+4)}{6 \times 2 - 3}$?
4. Mr. Smith's class has 10 boys and 15 girls. Ms. Jones's class has 12 boys and 16 girls. A student is chosen at random from each class. From which class is there a greater probability of choosing a boy?
5. Leo has $150 in his savings account. He plans to deposit $25 each week. Which equation can be used to find the number of weeks, w, it will take for him to have exactly $750 in his account?
6. Two fair six-sided dice are rolled. What is the probability that the sum of the numbers rolled is a prime number?
7. A rectangular piece of cardboard measures 15 inches by 20 inches. A square with a side length of 4 inches is cut from each of the four corners. What is the perimeter of the remaining piece of cardboard?
8. Start at 1: 1, 2, 4, 8, 16. Next number?
9. A train and a bus travel at constant speeds. The train goes 240 miles in 4 hours, and the bus goes 210 miles in 3 hours. Someone claims the train's speed is 4/240 miles/hour. Which of the following is the correct unit rate for the train?
10. On a road trip, you drove $1\ 7/8$ hours, then drove $1/8$ hour more. After adding, how long?
11. Maria has $\frac{4}{5}$ of a liter of juice. She pours it equally into 6 small glasses. What fraction of a liter of juice is in each glass?
12. A sequence follows an arithmetic pattern: -21, -15, $\underline{\hspace{2em}}$, -3, 3. What is the missing term?
13. A survey of 50 students asked them to rate a new school lunch on a scale of 1 to 5. The results were recorded in a frequency table: 5 students gave a rating of 1, 10 students gave a rating of 2, 15 students gave a rating of 3, 12 students gave a rating of 4, and 8 students gave a rating of 5. What was the average rating for the new school lunch?
14. A pyramid has a square base with sides of 9 feet. The height of the pyramid is 10 feet. What is the volume of the pyramid?
15. A store pays $200$ dollars fixed costs and earns $6$ dollars profit per item sold. For $x$ items, choose $P$.
16. Bag 1: $P(\text{black marble})=\frac{3}{10}$. Bag 2: $P(\text{white marble})=\frac{1}{4}$. Which is more likely?
17. A store bought 50 shirts for $12 each. It sold 35 of the shirts for $20 each. The remaining shirts were sold on clearance for $8 each. What was the store's total profit from selling all 50 shirts?
18. A robot begins at the origin (0, 0). It follows a sequence of moves: 7 units east, 4 units north, 3 units west, and finally 8 units south. What are the final coordinates of the robot's location?
19. A ribbon is $8\frac{1}{4}$ meters long. A piece measuring $3\frac{2}{3}$ meters is cut from it. What is the length of the remaining ribbon?
20. Which of the following volumes is the greatest? (Note: 1 gallon = 4 quarts; 1 quart = 2 pints; 1 pint = 16 fluid ounces)

Practice tests