FREE OAR Math Skills Question and Answers

Question 1

A $20,000 car loses value every year until only the metal and components are left. Which of the following equations can accurately be used to calculate the car's value at T years after purchase if it takes the car 15 years to lose all value other than the metal and parts, and the metal and parts are worth $755?

Accepted Answer

-1283 + 20,000

Answer

The car depreciates from $20,000 to $755 over 15 years, meaning it loses $19,245 in value. This results in an annual depreciation of $19,245 / 15 = $1283. Therefore, the correct equation to calculate the car's value at T years after purchase should be `Value = 20,000 - 1283T`. The provided correct answer, C) -1283 + 20,000, appears to be missing the variable 'T' for the depreciation term, making it an incomplete representation of the car's value over time.

Question 2

What is the value of x if 16x + 4 = 100?

Accepted Answer

six

Answer

To solve for x, first subtract 4 from both sides of the equation: 16x = 100 - 4, which simplifies to 16x = 96. Next, divide both sides by 16: x = 96 / 16. Performing the division yields x = 6.

Question 3

How many of the cogs made in March and May were unsatisfactory?

Accepted Answer

23.50%

Answer

To determine the percentage of unsatisfactory cogs made in March and May, one would first need the total number of cogs produced in each month and the number of unsatisfactory cogs for each month. Then, sum the unsatisfactory cogs from both months and divide by the sum of total cogs from both months. Multiplying this result by 100 would yield the combined percentage of unsatisfactory cogs.

Question 4

What was the entire increase in cog manufacturing from February to April in percentage terms?

Accepted Answer

100%

Answer

To calculate the percentage increase in cog manufacturing from February to April, you would use the formula: `((Cogs in April - Cogs in February) / Cogs in February) * 100%`. A 100% increase implies that the number of cogs manufactured in April was exactly double the number manufactured in February.

Question 5

How many of the gears created in March and April weren't of a high standard?

Accepted Answer

11,000

Answer

To determine the total number of gears that weren't of a high standard in March and April, one would need the specific production figures for each month and the corresponding number or percentage of unsatisfactory gears. The calculation would involve finding the number of unsatisfactory gears for March and for April, and then summing those two figures to arrive at the total.

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FREE OAR Math Skills Question and Answers