HARDER PROBLEMS FOR CLASSES VIII- X Algebra

This collection is designed for secondary school students (Classes VIII–X) preparing for Math Olympiads and competitive exams. It brings together a variety of challenging algebra problems that go beyond routine textbook exercises and test deeper understanding, creativity, and problem-solving skills.

👉 Key Features of the Set

• Classical Identities – Problems based on famous results such as Sophie Germain’s identity.

• Equation Manipulation – Creative use of algebraic transformations and substitutions.

• Inequalities & Rationalization – Strengthening algebraic reasoning with proofs and simplifications.

• Number Theory Links – Problems connecting algebra with concepts of divisibility and composite numbers.

• Summations & Series – Telescoping series and rational number expansions.

• Olympiad Flavor – Each problem is selected to stimulate lateral thinking and develop advanced techniques.

This set not only sharpens algebraic manipulation but also trains students to recognize patterns, symmetry, and hidden structures in problems—an essential skill for Olympiads and higher-level mathematics.

ICSE Class IX - Practice Set

Practice Set 32 Marks - Real Numbers and Compound Interest - Click Here

Practice Set 25 Marks -7 Questions- Real Numbers, Exponents, Compound Interest and Expansions - Set I

Practice Set 28 Marks-8 Questions- Real Numbers, Exponents, Compound Interest and Expansions - Set II

Practice Set 15 Questions - Real Numbers - Click Here

Harder Problems 22 Questions - Algebraic Identities - Click Here

Practice Set 39 Questions - Factorisations - Click Here

Practice Set 23 Questions - Expansion and Indices - Click Here

Practice Set 23 Questions - Real Numbers and Compound Interest - Click Here

Assessment Class IX: Kumar Ashutosh Institution (Main) Boys'

Mathematics Test on Saturday (25/09/2021)

Full Marks: 40

Time: 1hr 45 minutes ( from 12:00 to 1:45 pm )

Test Mode: Online with Google Form

All questions will be MCQ type. You need to selected the correct answers

of all the questions and submit the google form before 1:45 pm.

All questions must be answered or else you wont be able to submit the form.

You must enter your e-mail ID, name, section and roll number in the respective fields

before answering the questions.

The link for the questions will be send on Saturday minutes before the test. 

Syllabus : Chapters 15,16,18,19,20,21

MARKS DISTRIBUTION

TOTAL NUMBER OF QUESTIONS: 14 [Full Marks 40]

6 questions will carry 2 marks each     6 X 2 = 12

4 questions will carry 3 marks each     4 X 3 = 12

4 questions will carry 4 marks each     4 X 4 = 16 [12 +12 + 16 = 40 ]

For any query call 9038126497 ( Vinod Sir - A.T Mathematics)

SCORES:

ANSWER KEY