ISEE Upper Level Word Problems: Triangles, Angles, and Lines Practice Test 17

1. Triangle ABC is similar to triangle DEF. The length of is 7 units, and the length of is 9 units. If the length of is 28 units, what is the length of ?

• A. 4 units
• B. 15 units
• C. 36 units
• D. 60 units

2. The graph of a line is shown.

What is the slope of the line?

• A. –3
• B. –2
• C. 2
• D. 3

3. A number line is shown.

What number does Point X represent on the number line?

• A. 4
• B. 5
• C. 6
• D. 7

4. If the length of the base of a triangle is decreased by 20 percent and the height of the triangle is increased by 20 percent, what is the percent change in the area of the triangle?

• A. –10%
• B. –4%
• C. 0%
• D. 10%

5. Triangle HJK is similar to triangle LMN.

What is the length of side LM?

• A. 9
• B. 12
• C. 9a
• D. 12a

6. Which of the following is a graph of x > –2 and x ≤ 3?

• A.
• B.
• C.
• D.

7. Mary Beth measures the height of a bush to be 4 feet and the length of its shadow to be 9 feet, as shown in the diagram.

At the same time, the shadow of a flag pole is 27 feet in length. What is the height of the flag pole?

• A. 8 ft
• B. 12 ft
• C. 15 ft
• D. 18 ft