ICSE Class 9 Maths Mid-Term 2026: Important Questions, Formulas & Topics to Revise With PW Marathon

Class 9 Maths can become difficult when a single chapter includes concepts, calculations, comparisons and proof-based questions. You may understand the basic idea but still need more practice to solve different question types correctly, especially when working with rational and irrational numbers.

The PW ICSE Class 9 Maths Mid-Term Marathon brings these concepts together through focused revision and question practice. You can work on number comparisons, numbers between given values, irrational numbers on the number line and the proof of √2, along with step-by-step solutions. With focused revision and exam-oriented practice, this marathon can help you strengthen key concepts, improve question-solving accuracy, and prepare more confidently for your ICSE Class 9 Maths mid-term exam.

Important Maths Concepts Covered in PW’s ICSE Class 9 Mid-Term Marathon

The PW ICSE Class 9 Maths Mid-Term Marathon focuses on important concepts related to rational and irrational numbers. The session includes basic definitions, comparison of numbers, number-line representation and proof-based questions.

Rational Numbers

Irrational Numbers and Number Line

ICSE Class 9 Maths Important Questions From the PW Mid-Term Marathon 2026

Practising questions after revising each concept can help you check your understanding and improve your accuracy. The following questions are based on the Maths concepts covered in the PW Marathon.

Rational Numbers

1. Is zero a rational number?

A) Yes
B) No

Answer: A) Yes

Explanation: Zero can be written in the form p/q as 0/1, where q ≠ 0. Therefore, zero is a rational number.

2. State True or False: Every integer is a whole number.

A) True
B) False

Answer: B) False

Explanation: Integers include negative numbers such as -1 and -2, whereas whole numbers do not include negative numbers.

3. Find one rational number between 2 and 3.

Answer: 2.5 or 5/2

Solution:

A rational number between two numbers can be found using:

a+b2=2+32=52

Therefore, 5/2 is a rational number between 2 and 3.

4. Find one rational number between 2/9 and 3/8.

Answer: 43/144

Solution: Taking the common denominator:

29+382=16+27722=43144

Therefore, 43/144 is a rational number between 2/9 and 3/8.

5. Which number is greater: 2/9 or 3/8?

Answer: 3/8

Explanation:

Using a common denominator:

29=167and 38=2772

Since 27/72 is greater than 16/72, 3/8 is greater.

6. Arrange -20/60, -30/60, -21/60 and -22/60 in descending order.

A) -30/60, -22/60, -21/60, -20/60
B) -20/60, -21/60, -22/60, -30/60
C) -30/60, -20/60, -21/60, -22/60
D) None of the above

Answer: B) -20/60, -21/60, -22/60, -30/60

Explanation: Among negative numbers, the number closer to zero has the greater value. Therefore, the correct descending order is -20/60, -21/60, -22/60, -30/60.

7. Which is greater: -100 or -2?

Answer: -2

Explanation: On the number line, -2 lies closer to zero than -100. Therefore, -2 is greater.

8. Find three rational numbers between 4 and 4.5.

Answer: 4.1, 4.2 and 4.3

These can also be written as:

4110,42104310

All three numbers lie between 4 and 4.5.

Irrational Numbers and Number Line

9. How do you select the base and perpendicular lengths to plot √5 on a number line?

Answer: Take the base as 2 units and the perpendicular as 1 unit.

Using the Pythagorean theorem:

Hypotenuse=22+12=4+1=5

 Therefore, the hypotenuse represents √5.

10. How do you select the base and perpendicular lengths to plot √10 on a number line?

Answer: Take the base as 3 units and the perpendicular as 1 unit.

Hypotenuse= 32+12=9+1=10

 Therefore, the hypotenuse represents √10.

11. How do you select the base and perpendicular lengths to plot √17 on a number line?

Answer: Take the base as 4 units and the perpendicular as 1 unit.

Hypotenuse= 42+12=16+1=17

Therefore, the hypotenuse represents √17.

12. What are co-prime numbers? Give two examples.

Answer: Co-prime numbers are two numbers whose HCF is 1. They do not have any common factor other than 1.

Examples: (2, 3) and (8, 11).

13. State True or False: All irrational numbers are surds, but not all surds are irrational numbers.

Answer: False

Explanation: The statement is incorrect. All surds are irrational numbers, but not all irrational numbers are surds.

Note : For More Detailed Solutions and Questions Prefer the Video. 

How Can the PW Class 9 ICSE Maths Mid-Term Marathon Help With Revision?

The PW Class 9 Maths Mid-Term Marathon gives you dedicated time to work through important number concepts and question types. You can use the session to:

• Strengthen number concepts: Revise the difference between rational, irrational, integer and whole numbers.

• Practise comparison questions: Learn how to compare positive and negative rational numbers accurately.

• Find numbers between given values: Practise methods for finding one or more rational numbers between two numbers.

• Understand number-line construction: Learn how right-angled triangles and the Pythagorean theorem are used to represent irrational numbers.

• Practise irrational-number construction: Work through examples such as √2, √3, √5, √10 and √17.

• Understand proof-based questions: Follow the proof by contradiction used to establish that √2 is irrational.

• Revise co-prime numbers: Understand why co-prime numbers are important in the proof of irrationality.

• Work through important questions: Practise different question formats, including MCQs, calculations, construction-based questions and proof-based questions.

• Check your understanding: Use the questions discussed during the Marathon to identify concepts that need additional practice.

The PW Class 9 ICSE Maths Mid-Term Marathon can help you bring your preparation together through focused revision, important questions and step-by-step explanations. Use it to identify the concepts you need to strengthen, practise questions with different approaches and build confidence before the exam. With consistent practice and effective revision, you can make your Maths preparation more structured and approach the Mid-Term exam with greater confidence.