Self Practice 2024-12-13: Flashcardziz

Front

What is the ratio of the angles in a triangle if they are in the ratio 3:3:4?

Back

The angles are 3x, 3x, and 4x. The sum of angles in a triangle is 180 degrees. Therefore, 3x + 3x + 4x = 180, which gives x = 10. The angles are 30 degrees, 30 degrees, and 40 degrees. The largest angle is 40 degrees.

Front

What is a 6-digit positive integer where the first three digits are the same as the last three digits?

Back

An example is 247247. This type of number is called a 'repeating number'.

Front

What is the formula for calculating the factorial of a number?

Back

The factorial of a number n, denoted as n!, is the product of all positive integers up to n. For example, 5! = 5 × 4 × 3 × 2 × 1 = 120.

Front

How do you calculate the sum of the first n natural numbers?

Back

The sum of the first n natural numbers is given by the formula S = n(n + 1)/2. For example, the sum of the first 8 natural numbers is 8(8 + 1)/2 = 36.

Front

What is the product of 0.000315 and 7,928,564?

Back

The product is approximately 2400.

Front

What is the perimeter of a triangle?

Back

The perimeter of a triangle is the sum of the lengths of its three sides.

Front

What is the area of a triangle given its base and height?

Back

The area A of a triangle is given by the formula A = (base × height) / 2.

Front

What is the significance of the number 11 in relation to the number 247247?

Back

11 is a factor of 247247 because the number can be divided evenly by 11.

Front

Back

The value is 1120.

Front

What is the concept of equivalent fractions?

Back

Equivalent fractions are different fractions that represent the same value. For example, 1/2 and 2/4 are equivalent.