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SAT - Problem Solving - Test 12

Choose the option that best answers the question.
Questions 1 - 5 of 10

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