GRE Math Problem Solving Practice Test 06

1. Which of the following can be used to illustrate that not all prime numbers are odd?

Select one or more of the choices.

A. 1
B. 2
C. 3
D. 4

2. What is the greatest of 3 consecutive integers whose sum is 24 ?

A. 6
B. 7
C. 8
D. 9
E. 10

3. Considering the positions on the number line above, which of the following could be a value for x?
Select ALL such values.

A. 5/3
B. 3/5
C. -2/5
D. -3/4
E. -5/2

4. A piece of ribbon 4 yards long is used to make bows requiring 15 inches of ribbon for each. What is the maximum number of bows that can be made?

A. 8
B. 9
C. 10
D. 11
E. 12

5. How many numbers between 200 and 400 meet one or both of the conditions given in the two statements below?
Statement 1: The number begins with 3
Statement 2: The number ends with 3

A. 20
B. 60
C. 100
D. 110
E. 120

6. 6 pints of a 20 percent solution of alcohol in water are mixed with 4 pints of a 10 percent alcohol in water solution. The percentage alcohol in the new solution is

A. 16
B. 15
C. 14
D. 13
E. 12

7. PQRS is a parallelogram and ST = TR. What is the ratio of the area of triangle QST to the area of the parallelogram?

A. 1 : 2
B. 1 : 3
C. 1 : 4
D. 1 : 5
E. it cannot be determined

8. A picture is copied onto a sheet of paper 8.5 inches by 10 inches. A 1.5 inch margin is left all around. What area in square inches does the picture cover?

A. 76
B. 65
C. 59.5
D. 49
E. 38.5

9. The table shows the results of a poll which asked drivers how many accidents they had had over the previous 5 years. What is the median number of accidents per year?

A. 0.5
B. 1
C. 1.5
D. 2
E. 4

10. If V = 12R / (r + R) , then R =

A. Vr / (12 - V)
B. Vr + V /12
C. Vr - 12
D. V / r - 12
E. V (r + 1) /12