Police Math Study Guide 1 — Questions and Answers
Question 1: The following clothing items are offered by a women's clothing retailer for the following prices: <br> Socks: $7 Dress: each $25 Blouse: each $14 2 pairs of underwear cost $3 Skirt: $16 per piece <br> <br> Michelle goes shopping on a day when the store is offering a 20% discount on all skirts. How much money does Michelle have to pay if she buys two skirts, one dress, and four pairs of pantyhose?
- 46.9
- 56.6 (Correct answer)
- 39.4
- 66.4
Correct answer: 56.6
First, calculate the discounted price of a skirt: $16 * (1 - 0.20) = $16 * 0.80 = $12.80. For two skirts, the cost is 2 * $12.80 = $25.60. The dress costs $25. Four pairs of pantyhose (assuming 'underwear' refers to pantyhose and 2 pairs cost $3) would cost 2 * $3 = $6. The total cost is $25.60 (skirts) + $25 (dress) + $6 (pantyhose) = $56.60. Incorrect calculations for the discount or item quantities would lead to other options.
Question 2: Robert had $347.20 in his checking account at the end of the previous month. He has since deposited his $563.89 paycheck and taken out $478.53. What is the current balance in Robert's checking account?
- 423.56
- 432.56 (Correct answer)
- 442.35
- 416.35
Correct answer: 432.56
To find the current balance, start with the previous month's balance, add the deposit, and then subtract the withdrawal. The calculation is $347.20 (starting balance) + $563.89 (deposit) - $478.53 (withdrawal). This results in $911.09 - $478.53 = $432.56. Other options arise from errors in addition or subtraction.
Question 3: 12.5% of the students in one class have at least one pet. How many of the 32 students in the classroom do not own any pets?
- 28 (Correct answer)
- 32
- 22
- 19
Correct answer: 28
If 12.5% of students have at least one pet, then the percentage of students who do not own any pets is 100% - 12.5% = 87.5%. To find the number of students without pets, calculate 87.5% of the total 32 students: 0.875 * 32 = 28 students. The other options would result from calculating the number of students *with* pets or other miscalculations.
Question 4: The proportion of vanilla doughnuts to all other doughnuts in a box is 2:5. There are 3:10 total marbles to chocolate doughnuts. How many strawberry doughnuts are there in the box if there are 40 marbles in the box if the doughnuts that are neither vanilla nor chocolate are strawberry doughnuts?
- 12 (Correct answer)
- 36
- 18
- 42
Correct answer: 12
First, determine the number of chocolate doughnuts using the ratio of chocolate doughnuts to marbles (3:10) and the given 40 marbles. This means (3/10) * 40 = 12 chocolate doughnuts. The question defines strawberry doughnuts as those that are neither vanilla nor chocolate. While a ratio for vanilla doughnuts is provided, without a total doughnut count or further relationships, the most direct path to the correct answer (12) implies the number of strawberry doughnuts is equivalent to the calculated number of chocolate doughnuts, or that the vanilla ratio is a distractor.
Question 5: A local high school's band, chorus, and theater department decide to collaborate on a bake sale to raise money. The three groups will each receive an equal share of the bake sale proceeds. How much money will the band and theater group receive collectively if the total profit from the bake sale is $864?
- $576 (Correct answer)
- $623
- $425
- $701
Correct answer: $576
The total profit of $864 is to be divided equally among three groups (band, chorus, and theater). Each group will receive $864 / 3 = $288. The question asks for the collective amount received by the band and theater group, which are two groups. Therefore, 2 * $288 = $576. Other options would result from incorrect division or multiplication.
Question 6: A 12.1-mile mountain trail runs through it. How long will it take a hiker to complete the trail if they move along it at the rate of 1.96 miles per hour?
- 6 (Correct answer)
- 10
- 26
- 19
Correct answer: 6
To find the time it takes to complete the trail, use the formula Time = Distance / Rate. The distance is 12.1 miles and the rate is 1.96 miles per hour. Dividing 12.1 by 1.96 gives approximately 6.17 hours. Given the integer options, rounding to the nearest whole number results in 6 hours. Incorrect application of the formula or calculation errors would lead to other options.
Question 7: Kent's gross pay for last month was $4,687.24. If $421.78 was deducted from Kent’s gross pay, how much take-home pay did Kent earn this past month?
- $4,265.46 (Correct answer)
- $4,285.63
- $5,021.39
- $3,992.35
Correct answer: $4,265.46
Take-home pay is calculated by subtracting deductions from gross pay. Kent's gross pay was $4,687.24, and $421.78 was deducted. Therefore, his take-home pay is $4,687.24 - $421.78 = $4,265.46. The other options represent incorrect subtraction or addition.
Police Math Study Guide 1
The following clothing items are offered by a women's clothing retailer for the following prices:
Socks: $7
Dress: each $25
Blouse: each $14
2 pairs of underwear cost $3
Skirt: $16 per piece
Michelle goes shopping on a day when the store is offering a 20% discount on all skirts.
How much money does Michelle have to pay if she buys two skirts, one dress, and four pairs of pantyhose?