Class-9th
Mathematics
Chapter -1 Number System (Test)
Time : 01:30 hrs.
1. Are the following statements true or false? Give reasons for your
answer.
(i)
Every whole number is a rational number.
(ii) Every integer is a rational number.
(iii) Every rational number is a integer.
(iv) Every natural number is a whole number.
(v)
Every integer is a whole number.
(vi) Every rational number is a whole number.
2. Express the following numbers as decimals.
42
(i)
(ii)
(iii)
100
327
500
15
4
3. Express each of the following in the fractions.
(i)
0.39
(ii) 0.750
(iii) 2.15
4. Simplify the following expressions
(i)
(11 + √11) (11 − √11)
(ii) (5+ √7) (5 − √7)
(iii) (3+ √3) (3- √3)
(iv) ( √5 − √2) ( √5 + √2)
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5. Rationalise the denominator of the following:
(i)
2
3 √3
(iv)
16
√41−5
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(ii)
√40
√3
2+√3
√3
(v) 2−
(iii)
(vi)
3+√2
4 √2
√6
√2+ √3
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