Final Exam Study Guide 2025

Front

What is the formula for the area of a circle?

Back

Area = π × r², where r is the radius of the circle.

Front

How do you calculate the area of a circular pool cover with a diameter of 26 feet?

Back

First, find the radius: r = diameter/2 = 13 feet. Then, use the area formula: Area = π × (13)² = 3.14 × 169 = 530.66 square feet.

Front

What is the value of Pi (π) used in calculations?

Back

Pi (π) is approximately 3.14.

Front

What is the result of -8.64 ÷ 1.6?

Back

-5.4

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 × base × height.

Front

If a triangle has an area of 20 square inches and a height of 5 inches, how do you find the base?

Back

Use the area formula: 20 = 1/2 × base × 5. Solve for base: base = (20 × 2) / 5 = 8 inches.

Front

What is a probability prediction based on a sample?

Back

It estimates the total number of items based on the ratio of the sample.

Front

If a bag contains 300 beads and a student records 9 purple and 16 yellow beads, how do you predict the total number of yellow beads?

Back

Calculate the ratio of yellow beads: 16/(9+16) = 16/25. Then, predict: Total yellow = 300 × (16/25) = 192.

Front

What is the formula for the area of a rectangle?

Back

Area = length × width.

Front

What is the formula for the area of a trapezoid?

Back

Area = 1/2 × (base1 + base2) × height.