# SAT Math: Geometry and Measurement Chapter Exam

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### Page 1

#### Question 1 1. A cylindrical can 10 inches high will hold x cubic inches of water. In terms of x, what is the area of the bottom of the can?

#### Question 2 2. Triangle ABC is equilateral. If line BD bisects angle ABC, and the length of BD is 3√3, what is the perimeter of Triangle ABC?

#### Question 3 3. In a certain right triangle, the ratio of the hypotenuse to the shortest side is 13:5. If the middle side is 48 units long, then what is the length of the shortest side, in units?

#### Question 4 4. What is the curve length of f(x) between x=0 and x=1?

#### Question 5 5. Which two lines are parallel?

### Page 2

#### Question 6 6. In the square ABCD shown below, the measure of angle BCA is equivalent to the measure of ACD, and the measure of angle ACE is equivalent to the measure of angle ECD. What is the measure of angle CED?

#### Question 7 7. In the figure below, Angle 7 = 15x and Angle 10 = 9x + 30. Determine the measure of Angle 10.

#### Question 8 8. Which theorem can be used to establish congruence with the pictured triangles?

#### Question 9 9. Which of the following is a pair of parallel lines?

#### Question 10 10. If a clock's face measures 14 inches across, how much area is between the minute and hour hands at 5 o' clock? (approximate pi to 3.14)

### Page 3

#### Question 11 11. The area of a square is 9 units cubed. What is the diagonal of the square?

#### Question 12 12. What is the area of the pictured triangle?

#### Question 13 13. What is the area of ABCDE, as shown in the diagram?

#### Question 14 14. In triangle GBN, Angle G is seven more than three times a number, Angle B is five more than four times the number, and Angle N is twelve less than five times the number. Solve for the measure of Angle G.

#### Question 15 15. How is the value of pi calculated?

### Page 4

#### Question 16 16. In the picture below, if AB is 12, AC is 24 and AD is 10, what is the length of AE?

#### Question 17 17. A loading ramp is to be stretched from the back of a truck down to the ground, as shown. If the length of the ramp is 25 feet, and the vertical distance covered by the ramp is 15 feet, then how far away from the truck does the ramp touch the ground?

#### Question 18 18. What is the equation for the length of the curve following y=f(x) between x=a and x=b given f(x) below?

#### Question 19 19. Line CD is parallel to Line EF. If the measure of angle FGA is one-half the measure of angle EGA, then what is the measure of angle DHB?

#### Question 20 20. The area of Circle A is equal to the circumference of Circle B. If the diameter of Circle B is 16 units, what is the radius of Circle A?

### Page 5

#### Question 21 21. Circle D has a radius of 17 cm. What is the circumference of circle D?

#### Question 22 22. The distance from the center to the edge of the circle is called the:

#### Question 23 23. If arc AB is 72 degrees, what is the measure of angle ACB?

#### Question 24 24. Marcus is tiling his kitchen counter. The counter is 3 feet long by 2 feet wide. Marcus has tiles that are 2 inches on a side. How many tiles will he need to tile the entire counter?

#### Question 25 25. What is the line, as shown in the picture, called?

### Page 6

#### Question 26 26. What is 165° in radians?

#### Question 27 27. On a coordinate plane, the endpoints of Line A are (5,4) and (11, 6). Line B is perpendicular to Line A. What is the slope of line B?

#### Question 28 28. A cube is 4 inches on a side, as shown in the image. What is the diameter, in inches, of the smallest sphere that will contain the cube?

#### Question 29 29. Which of the following consists of a pair of perpendicular lines?

#### Question 30 30. Which theorem can be used to establish congruence with the pictured triangles?

#### SAT Math: Geometry and Measurement Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!