ISEE Upper Level Math Practice Test 18

1. Renee wants to carpet her living room. The rectangular room measures 15 feet × 18 feet. How many square yards of carpet must Renee purchase?

• A. 20 yd²
• B. 30 yd²
• C. 32 yd²
• D. 35 yd²

2. Last month, the librarian at a certain library kept track of all books checked out. The graph below shows the results by category of book. In the two most popular categories, how many books were checked out last month?

• A. 520
• B. 750
• C. 970
• D. 1,300

3. In the triangle shown, ∠ACB measures 55° and ∠CAB measures 65°. What is the measure of ∠CBA?

• A. 50°
• B. 60°
• C. 80°
• D. 90°

4. What are all the common factors of 24 and 36?

• A. 1, 2, 3, 12, 18
• B. 1, 2, 4, 12, 18, 24
• C. 1, 2, 12, 18, 24, 36
• D. 1, 2, 3, 4, 6, 12

5. Which fraction is in simplest form?

• A.
• B.
• C.
• D.

6. In the following figure, if ∠6 measures 90°, what is the measure of ∠1?

• A. 25°
• B. 35°
• C. 45°
• D. 55°

7. High school students were asked to pick their favorite kind of birthday party. The results are shown in the chart below. What percent of students chose either ice skating or sleepover?

• A. 40%
• B. 45%
• C. 50%
• D. 60%

8. If Joanne tosses a 1–6 number cube, what is the probability that the cube number facing up will be even?

• A.
• B.
• C.
• D.

9. In the triangle shown, side a is 4 ft long and side b is 6 ft long. What is the area of the triangle?

• A. 12 ft²
• B. 18 ft²
• C. 24 ft²
• D. 36 ft²

10. Donna is d years old. Frank is f years old. Frank is 4 years younger than Donna. Which equation represents the relationship between Donna’s and Frank’s age?

• A. d = f/4
• B. d = 4 − f
• C. f = d − 4
• D. f = 4 − d

11. The drama club is spending $224 to put on a play. They plan to sell tickets at $3.00 each. If they sell n tickets, which of the following expressions represent their profit after expenses?

• A. 3n − 224
• B. 224 + n/3
• C. 3n + 224
• D. 224(n + 3)