GRE Math Problem Solving Practice Test 09

1. (3 x 10⁴) + (2 x 10²) + (4 x 10) =

A. 302400
B. 32400
C. 30240
D. 3240
E. 324

2. Andy solves problems 74 to 125 inclusive in a Math exercise. How many problems does he solve?

A. 53
B. 52
C. 51
D. 50
E. 49

3. If x and y are integers, and 3x + 2y = 13, which of the following could be the value of y ?

Select ALL values that apply.

B. 1
C. 2
D. 3

4. In triangle ABC, AD = DB , DE is parallel to BC, and the area of triangle ABC is 40. What is the area of triangle ADE ?

A. 10
B. 15
C. 20
D. 30
E. it cannot be determined from the information given

5. If n > 0 , which of the following must be true?

Select ALL that apply.

A. n² > 1
B. n - n² < 0
C. 2n - 1 > 0
D. 2n³ > 0

6. Which of the following describes the relationship between A and B as shown in the pairs of numbers in the table above?

A. B = A + 4
B. B = 2A + 1
C. B = 3A - 1
D. B = A² + 1
E. B = A² - 1

7. 6 people meet for a business lunch. Each person shakes hands once with each other person present. How many handshakes take place?

A. 30
B. 21
C. 18
D. 15
E. 10

8. If x² - y² = 55, and x - y = 11, then y =

A. 8
B. 5
C. 3
D. -8
E. -3

9. In a sports club with 30 members, 17 play badminton and 19 play tennis and 2 do not play either. How many members play both badminton and tennis?

A. 7
B. 8
C. 9
D. 10
E. 11

10. Rectangle ABCD has a perimeter of 26. The half circle with diameter AD has an area of 8π. What is the perimeter of the part of the figure that is not shaded?

A. 26 + 4π
B. 18 + 8π
C. 18 + 4π
D. 14 + 4π
E. 14 + 2π