Practice Flashcards
Rate and Ratio, Area and Perimeter
What is the formula for calculating the area of a rectangle?
Area = length × width
True or False: The perimeter of a square is calculated by adding all four sides together.
True
Fill in the blank: The ratio of 8 to 4 can be simplified to ____.
2
What is the formula for the perimeter of a triangle?
Perimeter = side1 + side2 + side3
If the area of a square is 16 square units, what is the length of one side?
4 units
What does the term ‘rate’ refer to in mathematics?
A rate is a ratio that compares two quantities with different units.
Calculate the area of a circle with a radius of 3 units.
Area = π × (3^2) = 9π square units
What is the relationship between the area and the perimeter of a shape?
Area measures the space within a shape, while perimeter measures the distance around it.
True or False: A ratio can be expressed as a fraction.
True
What is the formula for the area of a triangle?
Area = 0.5 × base × height
If a car travels 120 miles in 2 hours, what is its average speed?
60 miles per hour
Fill in the blank: The ratio of 10 to 5 can be expressed as ____.
2:1
What is the perimeter of a rectangle with a length of 5 units and a width of 3 units?
Perimeter = 2 × (5 + 3) = 16 units
If the area of a rectangle is 20 square units and the width is 4 units, what is the length?
5 units
What is a common way to express rates?
Rates are often expressed as ‘per unit’, such as miles per hour or dollars per item.
True or False: The area of a triangle is always less than the area of a rectangle with the same base and height.
True
What is the formula for the area of a parallelogram?
Area = base × height
Calculate the perimeter of a circle with a diameter of 10 units.
Perimeter (Circumference) = π × diameter = 10π units
If the ratio of boys to girls in a class is 3:4, how many girls are there if there are 12 boys?
16 girls
What is the formula for the area of a trapezoid?
Area = 0.5 × (base1 + base2) × height
True or False: The perimeter of a polygon is always greater than its area.
False
If a rectangle has a length of 10 units and a width of 2 units, what is its area?
20 square units
What is the term for the comparison of two quantities?
Ratio
If the speed of a train is 90 miles per hour, how far will it travel in 3 hours?
270 miles
What is the perimeter of a square with a side length of 6 units?
24 units
Fill in the blank: A rate is a ratio that compares ____ quantities.
different
