SAT Math Practice 4

1. Hose A can fill a swimming pool in 2 hours. If hose B can fill the same pool in 6 hours, how many hours will it take the hoses to fill the pool if they work together?

    (A) .5 (B) 1 (C) 1.5 (D) 1.75 (E) 2

 

2. Jen runs from home to a park and back. She runs an average of 6 mph from home to the park and 4 mph from the park to home. If the round-trip takes 5 hours, what is the distance, in miles, between the park and Jen’s home?

 

3. Winston bakes 4 pies per hour, and Clyde bakes 6 pies per hour. If Winston bakes alone for one hour, and then Clyde joins him, how many minutes will it take them to bake 32 pies?

4. Four books can be placed in four spots on a shelf. If each book can only occupy one spot at a time, how many different arrangements of books on the shelves are possible?

    (A) 8 (B) 12 (C) 16 (D) 20 (E) 24

 

5. Alyssa can choose between 1 of 6 rock CDs, 1 of 4 rap CDs, and 1 of 5 smooth jazz CDs to form a CD collection. What is the total number of different collections that Alyssa can choose?

 

SAT Math Practice 4

6. A pin code is a sequence of three numbers, each of which is between 1 and 9. If none of the numbers in the sequence can repeat, how many combinations for the code are possible?

7. Let the operation x ¤ y be defined by x ¤ y = (2y + x) + (3x - y). If 2 ¤ 1 = 3 ¤ w, what is the value of w?

8. If x ‡ y = 3y - 2(x + y), what is 2 ‡ 4?

 

9. If a « b = 4a - 3b, what is the value of 3 « 5?