Mathematics Worksheet
Class IX | Topic: Number System
SECTION 1: NUMBER LINE & RATIONAL NUMBERS
1. Represent each of the following rational numbers on the number line:
(i) 5 (ii) -2 (iii) 3/7 (iv) 14/5 (v) -1 1/6 (vi) -2.3
2. Find five rational numbers between 2/3 and 5/3.
3. Find eight rational numbers between 1/6 and 5/2.
4. Locate each of the following on the number line:
(i) √10 (ii) √13 (iii) √17
5. Represent √5.2 geometrically on the number line.
SECTION 2: DECIMALS & CLASSIFICATION
6. Express each of the following in the form p/q (q ≠ 0):
(i) 0.7̅ (ii) 0.23̅ (iii) 0.437̅ (iv) 0.2562̅ (v) 0.23171717...
7. Classify as rational or irrational with justification:
(i) √3/4 (ii) √225 (iii) 2√12 (iv) √(9/45) (v) √20/√5
(vi) 3√8/√2 (vii) 1.8925 (viii) 7.1232323... (ix) -√0.16 (x) (√2 + 1/√2)²
SECTION 3: OPERATIONS & SIMPLIFICATION
8. Rewrite in ascending order:
3
√12, 4√20, 6√25, 6√80, 12√112
9. Simplify:
Class IX | Topic: Number System
SECTION 1: NUMBER LINE & RATIONAL NUMBERS
1. Represent each of the following rational numbers on the number line:
(i) 5 (ii) -2 (iii) 3/7 (iv) 14/5 (v) -1 1/6 (vi) -2.3
2. Find five rational numbers between 2/3 and 5/3.
3. Find eight rational numbers between 1/6 and 5/2.
4. Locate each of the following on the number line:
(i) √10 (ii) √13 (iii) √17
5. Represent √5.2 geometrically on the number line.
SECTION 2: DECIMALS & CLASSIFICATION
6. Express each of the following in the form p/q (q ≠ 0):
(i) 0.7̅ (ii) 0.23̅ (iii) 0.437̅ (iv) 0.2562̅ (v) 0.23171717...
7. Classify as rational or irrational with justification:
(i) √3/4 (ii) √225 (iii) 2√12 (iv) √(9/45) (v) √20/√5
(vi) 3√8/√2 (vii) 1.8925 (viii) 7.1232323... (ix) -√0.16 (x) (√2 + 1/√2)²
SECTION 3: OPERATIONS & SIMPLIFICATION
8. Rewrite in ascending order:
3
√12, 4√20, 6√25, 6√80, 12√112
9. Simplify:
