Class 9 Maths: Number Systems Worksheet (with Answers)
A free, print-ready worksheet on Number Systems for CBSE Class 9 Maths, with a matching answer key. Use the sample below, or build your own with the exact mix of questions you need — no login, no ads.
Sample worksheet
7 of 18 questions from this chapter. Generate your own for the full set, more variations, and a clean print layout.
- 1. Which of these is irrational?
- (a) √2
- (b) 0.5
- (c) 3/7
- (d) √4
- 2. A rational number can always be written as:
- (a) a recurring decimal only
- (b) a whole number
- (c) p/q with q ≠ 0
- (d) a surd
- 3. The decimal expansion of an irrational number is:
- (a) non-terminating and non-recurring
- (b) terminating
- (c) non-terminating and recurring
- (d) always zero
- 4. √a × √b equals:
- (a) ab
- (b) √(a+b)
- (c) a + b
- (d) √(ab)
- 5. Give an example of a rational and an irrational number between 1 and 2.
- 6. Is the product of a non-zero rational and an irrational number rational or irrational?
- 7. Rationalise the denominator of 1/(√5 − √2).
View answers
- 1. (a) √2 — √2 is non-terminating, non-recurring — irrational.
- 2. (c) p/q with q ≠ 0 — Rational numbers have the form p/q, q ≠ 0.
- 3. (a) non-terminating and non-recurring — Irrational numbers have non-terminating, non-recurring decimals.
- 4. (d) √(ab) — Product rule of surds: √a × √b = √(ab).
- 5. Rational: 1.5 (= 3/2); irrational: √2 ≈ 1.414.
- 6. Irrational (e.g. 2 × √3 = 2√3).
- 7. Multiply numerator and denominator by the conjugate (√5 + √2): (√5 + √2)/[(√5 − √2)(√5 + √2)] = (√5 + √2)/(5 − 2) = (√5 + √2)/3.
How it works
Every question is drawn from StudyMatic’s own Maths bank for Number Systems — nothing is auto-generated or invented. Pick how many of each type you want, add your own questions if you like, choose 1–4 paper sets for anti-cheating, and print the worksheet and answer key separately or save them as PDF.
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FAQ
- Is this Class 9 Maths worksheet on Number Systems free?
- Yes — it is completely free, with no login and no ads. You can print it or save it as a PDF, and generate unlimited variations.
- Does the Number Systems worksheet come with answers?
- Yes. Every worksheet has a separate answer key with the correct answers, short explanations and marks, so it is ready for marking.
- Can I choose how many questions and which types?
- Yes. Open the generator for this chapter and set how many MCQs, short, long and HOTS questions you want; totals and marks update live, and you can swap any single question.
- Which board and class is this for?
- This worksheet is aligned to CBSE Class 9 Maths, chapter “Number Systems”.