Class 9 · ICSE · Mathematics

Rational and Irrational Numbers

Rational and irrational numbers, their decimal expansions, surds and rationalisation.

Questions: 13
PYQs: 0
Topics: 0

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13 questions in this chapter.

Answer available
Class 9 · Mathematics · Rational and Irrational Numbers
The rationalising factor of √5 − √2 is:
1 markMediumMCQ
Answer available
Class 9 · Mathematics · Rational and Irrational Numbers
Simplify (√5 + √2)(√5 − √2).
3 marksMediumNumerical
Answer available
Class 9 · Mathematics · Rational and Irrational Numbers
Rationalise the denominator of 1/(√3 − √2) and hence find the value of the expression correct to two decimal places.
3 marksMediumNumerical
Answer available
Class 9 · Mathematics · Rational and Irrational Numbers
Express 0.454545... as a fraction in its lowest terms.
3 marksMediumNumerical
Answer available
Class 9 · Mathematics · Rational and Irrational Numbers
Insert two rational numbers between 1/3 and 1/2.
3 marksMediumNumerical
Answer available
Class 9 · Mathematics · Rational and Irrational Numbers
Rationalise the denominator of 1/(√3 − 1).
3 marksMediumNumerical
Answer available
Class 9 · Mathematics · Rational and Irrational Numbers
Define a rational number and an irrational number, giving one example of each.
2 marksEasyShort answer
Answer available
Class 9 · Mathematics · Rational and Irrational Numbers
Simplify √50 + √18 − √8.
2 marksEasyNumerical
Answer available
Class 9 · Mathematics · Rational and Irrational Numbers
Prove that √2 is irrational.
3 marksMediumStructured
Answer available
Class 9 · Mathematics · Rational and Irrational Numbers
Express the recurring decimal 0.333... as a fraction in its lowest terms.
3 marksMediumNumerical
Answer available
Class 9 · Mathematics · Rational and Irrational Numbers
Rationalise the denominator of 1/(√5 + √3).
3 marksMediumNumerical
Answer available
Class 9 · Mathematics · Rational and Irrational Numbers
Which of the following is an irrational number?
1 markEasyMCQ

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