Grade 6 | Unit 3: Unit Rates and Percentages | End-of-Unit Assessment (A)

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as a quantity of one. For example, if a car travels 150 miles in 3 hours, the unit rate is 50 miles per hour.

Front

How do you calculate a percentage?

Back

To calculate a percentage, divide the part by the whole and then multiply by 100. For example, if there are 6 apples out of 15 pieces of fruit, the percentage of apples is (6/15) * 100 = 40%.

Front

What is the formula for finding the total amount when given a percentage?

Back

The formula is: Total Amount = Part / (Percentage / 100). For example, if 70% of a trip is 35 miles, the total trip distance is 35 / (70/100) = 50 miles.

Front

What does it mean to find a percentage of a number?

Back

Finding a percentage of a number means calculating how much that percentage represents in terms of the number. For example, to find 20% of 50, you calculate (20/100) * 50 = 10.

Front

What is the relationship between fractions and percentages?

Back

Fractions can be converted to percentages by dividing the numerator by the denominator and multiplying by 100. For example, 1/4 = (1 ÷ 4) * 100 = 25%.

Front

How do you convert a decimal to a percentage?

Back

To convert a decimal to a percentage, multiply the decimal by 100. For example, 0.75 = 0.75 * 100 = 75%.

Front

What is the meaning of 'constant speed'?

Back

Constant speed means moving at a steady rate without speeding up or slowing down. For example, if a runner maintains a speed of 6 miles per hour, they are moving at a constant speed.

Front

How do you find the time taken to meet when two people are moving towards each other?

Back

To find the time taken to meet, add their speeds together and divide the distance by this total speed. For example, if Elena runs at 5 mph and Jada walks at 3 mph, their combined speed is 8 mph.

Front

What is the total distance covered when two people meet?

Back

The total distance covered is the initial distance between them. For example, if Elena and Jada start 12 miles apart, they will cover that distance when they meet.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another. For example, the ratio of apples to oranges in a basket of 3 apples and 2 oranges is 3:2.