Practice Test 1 - ISEE Lower Level Quantitative Reasoning

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

Start practice test

1. A box shaped like a cube has a side length of 4 inches. What is the volume of a rectangular prism that has the same square base as the cube but is only half as tall?
2. A family of four went out for dinner. The meals they ordered cost $12, $16, $14, and $18. They also bought four drinks that cost $3 each. What was the average cost of a meal, not including the cost of the drinks?
3. A group of 4 friends buys a gift that costs $48. One friend, Amy, contributes $12 toward the cost. The remaining cost is split equally among all 4 friends. If p represents the equal amount that each of the 4 friends pays in addition to Amy's initial contribution, which equation shows this situation?
4. Which of the following numbers has the most factors?
5. A bookshelf is $\frac{7}{9}$ full. Another bookshelf of the same size is $\frac{3}{4}$ full. Which bookshelf has more empty space?
6. Fill in the blank to continue the sequence: 3 8 13 18 __.
7. A quadrilateral has four vertices. The x-coordinates of the vertices are 3, 8, 8, and 3. The y-coordinates are 5, 5, 10, and 10. The vertices are connected to form a shape with two horizontal sides and two vertical sides. What is this shape?
8. A box contains 30 slips of paper, each with a day of the week written on it. There are 10 slips for Saturday and 6 for Sunday. The remaining slips are for weekdays. If a slip is chosen at random, what is the probability it shows a weekday?
9. A bar graph shows the number of siblings for students in a class of 25. The data shows 5 students have 0 siblings, 10 students have 1 sibling, 7 students have 2 siblings, and 3 students have 3 siblings. What fraction of the class has at least two siblings?
10. Fill in the blank to continue the sequence: 2 4 7 11 __.
11. A ribbon is 4.5 meters long. A piece measuring 1.1 meters is cut off. The remaining, longer piece is then cut into two equal smaller pieces. What does the decimal 1.7 represent in this situation?
12. A scientist is studying a plant that produces a special sap. On Day 1, she collects 50 milliliters (mL). Each day after, the plant produces 8 mL less than the day before. On Day 2, she collects 42 mL. On Day 3, she collects 34 mL. If this pattern continues, on which day will she collect only 2 mL of sap?
13. A long-distance race is 5 kilometers long. If Jenna has already run 3,500 meters, how many more meters does she need to run to finish the race?
14. There are 4 quarts in a gallon. A family drinks g gallons of milk and 3 additional quarts of milk in one week. Which expression represents the total number of quarts of milk they drank?
15. A machine processes numbers using a consistent two-step rule. An input of 10 results in an output of 7. An input of 16 results in an output of 10. If a number is put into the machine and the output is 13, what was the input?
16. A fuel tank is $\frac{3}{4}$ full and contains 120 gallons of fuel. What is the volume of fuel in the tank when it is $\frac{1}{2}$ full?
17. A roll of ribbon is 5 yards long. If a student cuts three separate pieces of ribbon that are each 2 feet long from the roll, how many feet of ribbon are left? (1 yard = 3 feet)
18. Maya and Liam collect stamps. Before her birthday, Maya had a certain number of stamps. For her birthday, she received 24 stamps, bringing her total to 70. Liam has half as many stamps as Maya had before her birthday. How many stamps does Liam have?
19. On a map grid, a delivery drone starts at a warehouse at (2, 9). It flies to House A at (8, 9), then to House B at (8, 1), and then to House C at (2, 1), before returning to the warehouse. What is the total distance the drone traveled in grid units?
20. A rectangular garden has its four corners at the points (3, 4), (10, 4), (10, 9), and (3, 9). If one unit on the grid represents one foot, what is the perimeter of the garden?

Practice tests