SAT problem solving practice test 12

1. 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

2. ASB is a quarter circle. PQRS is a rectangle with sides PQ = 8 and PS = 6. What is the length of the arc AQB ?

A. 5π
B. 10π
C. 25
D. 14
E. 28

3. If x ¤ y = (x + y)² - (x - y)²
Then √5 ¤ √5 =

A. 0
B. 5
C. 10
D. 15
E. 20

4. 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

5. The total weight of a tin and the cookies it contains is 2 pounds. After ¾ of the cookies are eaten, the tin and the remaining cookies weigh 0.8 pounds. What is the weight of the empty tin in pounds?

A. 0.2
B. 0.3
C. 0.4
D. 0.5
E. 0.6

6. Which of the following pairs of angles must be equal?

A. a and e only
B. a and e, and c and d only
C. c and d only
D. d and e only
E. c and d and d and e only

7. The average bonus per employee was

A. 81
B. 91
C. 100
D. 101
E. 105

8. Refer to the chart from the previous question.
If median bonus amount = m, mean bonus amount = n, and modal bonus amount = p, which of the following represents the correct ordering of m, n and p?

A. m < n < p
B. m < n = p
C. m = p D. p < m < n
E. p = n < m

9. Which of the following is the equation of a line passing through the origin and parallel to the line 2x – y = 5?

A. 5x – y = 0
B. 2x – y = 0
C. 2x + y = 5
D. 2x + y = 0
E. x + 2y = 0

10. The graph shows a quadratic function with a minimum at (-1,1)
If f(a) = f(1), which if the following could be the value of a?

A. 2
B. 0
C. -1
D. -2
E. -3