**Test for Rational Numbers - Mathematics (Maths) Class 7**

Rational numbers are an important concept in mathematics, specifically in the study of fractions. A rational number is any number that can be expressed as a fraction, where the numerator and denominator are integers and the denominator is not zero. To test your understanding of rational numbers, let's explore a test that covers the key concepts and properties related to them.

**Test Structure:**

The test for rational numbers will consist of multiple-choice questions and problems that require you to identify and work with rational numbers. The test will cover the following topics:

1. Identifying rational numbers
2. Converting rational numbers to fractions and decimals
3. Comparing and ordering rational numbers
4. Operations with rational numbers (addition, subtraction, multiplication, and division)
5. Simplifying fractions

**Sample Questions:**

1. Which of the following numbers is a rational number?
a) √2
b) 0.75
c) π
d) -5

2. Convert the rational number 3/4 into decimal form.

3. Arrange the following rational numbers in ascending order: 2/3, -1/2, 5/6, -3/4.

4. Solve the following expression: (2/3) + (-5/6).

5. Simplify the fraction 12/18 to its lowest terms.

**Test Solution:**

1. The correct answer is b) 0.75. Rational numbers can be expressed as fractions or decimals.

2. To convert 3/4 into decimal form, divide the numerator (3) by the denominator (4). The result is 0.75.

3. Arrange the given rational numbers in ascending order: -3/4, -1/2, 2/3, 5/6.

4. To solve (2/3) + (-5/6), find a common denominator, which is 6. Then, add the numerators: (2 * 2) + (-5 * 3) = 4 - 15 = -11. The result is -11/6.

5. To simplify the fraction 12/18, find the greatest common divisor (GCD) of the numerator and denominator, which is 6. Divide both the numerator and denominator by 6 to get the simplified fraction: 12/18 = 2/3.

**Conclusion:**

This test for rational numbers covers the main concepts and properties related to them. By answering the multiple-choice questions and solving the problems, you can assess your understanding of rational numbers and practice applying the relevant techniques. Remember to always simplify fractions to their lowest terms and perform operations with a common denominator. Regular practice and understanding of rational numbers will enhance your mathematical skills and problem-solving abilities.