Methods of Factorization — Foundation
A short, untimed paper to check whether the basic concepts of the lesson are clear. Best for a first pass through a topic. Free, no fee, no app — every attempt serves a freshly shuffled paper and an instant result card with your grade, percentage and rank.
1. Factorization is the process of writing an expression as a product of its:
A. Sums
B. Factors
C. Differences
D. Quotients
Correct answer: Factors
2. The factors of x² − 9 are:
A. (x + 3)(x − 3)
B. (x + 3)²
C. (x − 3)²
D. (x + 9)(x − 1)
Correct answer: (x + 3)(x − 3)
3. The factors of x² + 5x + 6 are:
A. (x + 2)(x + 3)
B. (x + 1)(x + 6)
C. (x − 2)(x − 3)
D. (x + 6)(x − 1)
Correct answer: (x + 2)(x + 3)
4. The factors of x² − 5x + 6 are:
A. (x + 2)(x + 3)
B. (x − 2)(x − 3)
C. (x − 1)(x − 6)
D. (x + 6)(x − 1)
Correct answer: (x − 2)(x − 3)
5. Factorize: a² + 2ab + b²
A. (a + b)²
B. (a − b)²
C. (a + b)(a − b)
D. a² + b²
Correct answer: (a + b)²
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Methods of Factorization MCQs — Mathematics Class IX Online Test
This free online test covers Methods of Factorization from Unit 4 — Factorization of Mathematics for Class IX. It contains 13 multiple-choice questions written lesson-wise, so you can revise one topic at a time instead of sitting a full-length paper every time you want to check yourself.
Three levels, three pass marks
The same lesson is served at three standards, and the level you pick changes the pass mark, the whole grade scale, the length of the paper and the clock:
- 🟢 Foundation — Concept building. 10 questions, untimed, fails below 40%.
- 🔵 Board Level — Exam standard. 13 questions, 13 min, fails below 50%.
- 🔴 Entry Test — MDCAT / ECAT standard. 13 questions, 9 min, fails below 65%.
Rankings are kept separate per level, so a Foundation score is never compared against an Entry Test one — the competition you see is always students who sat exactly the same standard as you.
Every attempt is a different paper
The questions are drawn at random from the lesson bank and shuffled — and so are the options inside each question — on every single attempt. That matters more than it sounds: with a fixed order, a student who retakes a test twice starts recognising answer positions instead of learning the concept. Randomisation makes the second attempt an honest measurement of what you actually know, which is why exam boards do the same thing.
You get a real result card, not just a score
The moment you submit, you get your score, your percentage, your grade on the A++ to F scale, and a question-by-question review showing what you picked and what the correct answer was. Alongside it you see how you compare: how many students took this test before you, what they averaged, the grade distribution, the leaderboard, and your position among every attempt ever recorded — plus which attempt number this was for you, so improvement is visible.
Who this is for
Class IX students revising Mathematics chapter-wise, students preparing for board exams and entry tests, and teachers who want a quick, free, zero-setup practice test to hand to a class.
Frequently Asked Questions
Are the questions in this Methods of Factorization test random?
Yes. Every time you open this test the 13 questions are re-shuffled, and the four options inside each question are re-shuffled too. Two attempts by the same student are never served in the same sequence, so you are forced to know the concept rather than remember that "the answer was C".
Is this online test really free?
Completely free. There is no fee, no subscription and no app to install. You register once with your name and e-mail — no password — and you can retake every test on CloudiSchool as many times as you like.
What are the three difficulty levels?
Every lesson is available at three standards. Foundation is a short untimed paper with a 40% pass mark, for checking that the basics are clear. Board Level is a timed paper at board-exam standard where anything below 50% is a fail. Entry Test is the hardest: a long paper, 45 seconds per question and a 65% pass mark, matching MDCAT and ECAT competition. Your score is only ever ranked against other students who sat the same level.
How is my grade calculated?
Your percentage is correct answers ÷ total questions × 100, and the grade boundaries move with the level. At Foundation, A++ starts at 90% and F is below 40%. At Board Level, A++ still starts at 90% but F is below 50%. At Entry Test, A++ needs 93% and anything below 65% is a fail. Unanswered questions count as incorrect at every level.
Can I see how other students scored?
Yes. Your result card shows how many students have already taken the test, the average and highest scores, the full grade distribution, a leaderboard of top scorers with the number of times each of them attempted, and your own rank and percentile among every attempt ever submitted.
Can I take the same test more than once?
As many times as you want, at any level. Each attempt is numbered and saved to your result history, so you can see attempt 1 versus attempt 5 and watch your percentage climb. The leaderboard ranks students by their best attempt at that level.
Which syllabus do these Mathematics Class IX MCQs follow?
The question bank is written chapter-wise and lesson-wise against the Mathematics Class IX textbook contents used by Pakistani boards, so it doubles as board-exam and entry-test preparation.