PSAT Math Multiple-Choice Practice Test 26

The use of a calculator is not permitted.

1. Logan gets his hourly salary raised from $9.50 an hour to $10.25 an hour. What percentage did his wage increase?

2. A young boy gets his aunt to pledge $4.25 a mile for every mile he walks at a charity event. If he completes 22 miles, how much money will he have raised from his aunt?

3. A circle has a circumference of 72 centimeters. Find the radius to the nearest tenth of a centimeter. Use 3.14 for π.

4. If the captain of a search party evenly assigns 242 people into 11 groups, how many people are in each group?

5. The table shows the weight of 100 laptops. Find the mean weight to the nearest hundredth of a pound.

WeightQuantity
3 pounds35
4 pounds24
5 pounds19
6 pounds11
7 pounds11

6. The parent volunteers for a football team need to pick up a variety of bottled drinks for their players. They buy 2 cases of Gatorade and a case of water for everyone which costs $76.50. If each case contains 30 bottles, how much is the value of a single drink?

7. The sum of two numbers is 80. One number is 6 less than the other. What’s the smaller number?

8. Professor Murphy received an end of the year evaluation from her 6 superior faulty members. Her overall rating for her yearly work was a 9.5. If five faculty members told her that they rated her work at 8.7, 9.6, 9.9, 9.9 and 9.4, what was the rating from the last faculty member?

9. A small landscaping company mows lawns and has three 5.4-gallon gas cans. One day, the landscapers empty the gas cans three times. How many gallons of gas did they use?

10. What is the prime factorization of 99?

11. A park is in the shape of a square with side lengths of 175 yards. One corner of the park is on the coordinate plane as (-50,?-50). What could be two coordinates of the square?

12. Hunter notices that she walked a total of 600 steps while walking around her work building on a 30-minute break. If she kept the same pace, how many steps could she walk if she took a 45-minute break?

13. Two siblings each took a standardized math test for their grade levels. One sibling took the test with 75 questions and the older sibling took the test with 140 questions. If the younger sibling got 60 questions right and both siblings received the same overall score, how many questions did the older sibling answer correctly?

14. If a baseball is 15 feet high when a stopwatch reads 3.2 seconds and 30 feet high when the stopwatch reads 3.6 seconds, what is its vertical speed (that is, rate of change of height)? Assume the speed is constant between 3.2 and 3.6 seconds on the stopwatch.

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