Topic 3 Assessment Practice

Front

What is percent error?

Back

Percent error is a measure of how inaccurate a measurement is, expressed as a percentage of the actual value. It is calculated using the formula: Percent Error = |(Estimated Value - Actual Value)| / Actual Value * 100.

Front

How do you calculate the height of a person if you know the percentage of their height they can jump?

Back

To find the height of a person based on the percentage of their height they can jump, use the formula: Height = Jump Distance / (Percentage as a Decimal). For example, if Jack jumps 97.5 inches and can jump 195% of his height, his height is 97.5 / 1.95 = 50 inches.

Front

What is the formula to find the total height of a mountain if you know the distance hiked and the percentage of the way up?

Back

The formula is: Total Height = Distance Hiked / (Percentage as a Decimal). For example, if Madelyn hikes 190.5 meters and is 62% of the way up, the total height of the mountain is 190.5 / 0.62 = 307 meters.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. It can be used to solve problems involving percentages, such as finding a certain percentage of a number.

Front

How do you find 50% of a number?

Back

To find 50% of a number, simply divide the number by 2. For example, 50% of 30 is 30 / 2 = 15.

Front

What is markup in pricing?

Back

Markup is the amount added to the cost price of goods to cover overhead and profit. It is usually expressed as a percentage of the cost price.

Front

How do you calculate the selling price of an item with a markup?

Back

To calculate the selling price with a markup, use the formula: Selling Price = Cost Price + (Cost Price * Markup Percentage). For example, if the cost price is $45 and the markup is 54%, the selling price is $45 + ($45 * 0.54) = $69.30.

Front

What is the relationship between percentages and fractions?

Back

Percentages are a way of expressing a number as a fraction of 100. For example, 25% is equivalent to 25/100 or 1/4.

Front

How do you convert a percentage to a decimal?

Back

To convert a percentage to a decimal, divide the percentage by 100. For example, 75% as a decimal is 75 / 100 = 0.75.

Front

What is the formula for calculating percent change?

Back

Percent Change = (New Value - Old Value) / Old Value * 100. This formula helps to determine how much a value has increased or decreased in percentage terms.