Free CPCA Basic Math Question and Answers — Questions and Answers
Question 1: In the nearby public schools, Officer Johnson frequently serves as a drug-use prevention officer. He does three school visits per week for 40 weeks of the year. In a year, how many schools does he visit?
- 80
- 90
- 100
- 120 (Correct answer)
Correct answer: 120
To calculate the total number of school visits in a year, multiply the number of visits Officer Johnson makes per week by the number of weeks he works. He does 3 school visits per week for 40 weeks of the year. Therefore, 3 visits/week * 40 weeks/year = 120 total school visits in a year.
Question 2: A suspect in a robbery has been detained. The bond amount, in this case, has been imposed by the judge at $1 million. To issue a bail bond, the bail bondsman needs to have a 10% deposit. How much of the $1,000,000 must the robbery suspect pay to obtain the bail bond?
- $100
- $1,000
- $10,000
- $100,000
To determine the required deposit, calculate 10% of the total bond amount. The judge set the bond at $1,000,000. Therefore, 10% of $1,000,000 is 0.10 multiplied by $1,000,000, which equals $100,000. The robbery suspect must pay $100,000 to obtain the bail bond.
Question 3: In order to make a withdrawal from her account, Amy visits her bank. She has $527.41 left over. She takes out $250.00. How much money still remains in her account after the withdrawal?
- $287.41
- $277.41 (Correct answer)
- $267.41
- $227.41
Correct answer: $277.41
To determine the amount of money remaining in Amy's account, subtract the withdrawal amount from her initial balance. The calculation is $527.41 - $250.00, which equals $277.41. This represents the new balance after the transaction.
Question 4: In the year 2020, Mary earned a monthly salary of $48,200, with 14% of that amount being deducted for income taxes. Her monthly pay in 2025 was $51,800, with 16% of that amount being deducted for income taxes. What was her typical take-home income from 2020 to 21?
- $42,482 (Correct answer)
- $44,462
- $46,486
- $48,482
Correct answer: $42,482
First, calculate the take-home income for each year: For 2020, $48,200 * (1 - 0.14) = $41,452. For 2025, $51,800 * (1 - 0.16) = $43,512. Although the question asks for '2020 to 21' but provides 2025 data, interpreting 'typical' as the average of the two provided years yields ($41,452 + $43,512) / 2 = $42,482.
Question 5: Officer Berman covered 1,320 miles on his patrol motorcycle over the course of ten days. How many miles did he average per day if he traveled 105 miles in one day?
- 100
- 105
- 130
- 135 (Correct answer)
Correct answer: 135
To calculate the average miles per day, the total miles covered should be divided by the number of days. Given 1,320 miles over ten days, the direct calculation would be 1320 / 10 = 132 miles per day. However, since the correct answer is 135, it implies that the intended total miles in the question might have been 1,350 (135 * 10 = 1350), suggesting a potential discrepancy in the provided numbers.
Question 6: Rectify the problems below: <br> <br> 18 - 3 + (- 5) =
- 10 (Correct answer)
- 15
- 25
- 20
Correct answer: 10
To solve the expression 18 - 3 + (-5), follow the order of operations from left to right. First, perform the subtraction: 18 - 3 = 15. Next, add the negative number, which is equivalent to subtracting: 15 + (-5) = 15 - 5 = 10.
Question 7: Peter rides the elevator up to the 10th floor starting from the ground floor. After that, Peter descends two stories and ascends eight. On what floor is Peter?
- 4
- 16 (Correct answer)
- 18
- 20
Correct answer: 16
Starting from the ground floor (0), Peter first ascends 10 floors, bringing him to the 10th floor (0 + 10 = 10). He then descends two stories (10 - 2 = 8). Finally, he ascends eight more stories (8 + 8 = 16). Therefore, Peter is on the 16th floor.
In the nearby public schools, Officer Johnson frequently serves as a drug-use prevention officer.
He does three school visits per week for 40 weeks of the year.
In a year, how many schools does he visit?