01 · 1 MARK PRACTICE QUESTIONS
Short Answer / Objective Questions
1 MARK
Q1. Is 0 a rational number? Can you write it in the form p/q, where p and q are integers and q ≠ 0?
1 MARK
Q2. Find the value of (125)⁻¹/³.
1 MARK
Q3. State whether the following decimal expansion is rational or irrational: 0.12012001200012...
02 · 2 MARKS PRACTICE QUESTIONS
Short Proofs & Calculations
2 MARKS
Q4. Find five rational numbers between 3/5 and 4/5.
2 MARKS
Q5. Rationalise the denominator of 1 / (√7 - √6).
2 MARKS
Q6. Simplify: (3 + √3)(2 + √2).
03 · 3 MARKS PRACTICE QUESTIONS
Intermediate Problem Solving
3 MARKS
Q7. Express 0.4777... = 0.47̄ in the form p/q, where p and q are integers and q ≠ 0.
3 MARKS
Q8. If a and b are rational numbers and (5 + 2√3) / (7 + 4√3) = a + b√3, find the values of a and b.
3 MARKS
Q9. Represent √5 on the number line using geometric construction.
04 · 5 MARKS PRACTICE QUESTIONS
Long Answer & Complex Rationalisations
5 MARKS
Q10. Simplify by rationalising the denominator: [1 / (√3 + √2)] + [2 / (√5 - √3)] - [3 / (√5 + √2)].
5 MARKS