Class 8 Quiz Level 2 (Moderate) – Rational Numbers

Total questions: 20

How many rational numbers can exist between $\displaystyle \dfrac{{-2}}{3}\text{ and }\dfrac{1}{3}$?

Topic: Rational Numbers between Two Rational Numbers

Deselect Answer

Infinite

None

If you multiply $\displaystyle \dfrac{{-3}}{7}$ by its reciprocal, the answer is:

Topic: Operations on Rational Numbers

Deselect Answer

-1

-2

None

Choose a rational number between $\displaystyle -\dfrac{1}{2}and\dfrac{1}{4}$.

Topic: Rational Numbers between Two Rational Numbers

Deselect Answer

$\displaystyle -\dfrac{1}{4}$

$\displaystyle -\dfrac{1}{9}$

$\displaystyle -\dfrac{1}{6}$

$\displaystyle \frac{1}{2}$

None

Find a rational number between $\displaystyle \dfrac{1}{3}\text{ and }\dfrac{1}{2}$.

Topic: Rational Numbers between Two Rational Numbers

Deselect Answer

$\displaystyle \dfrac{1}{4}$

$\displaystyle \dfrac{2}{5}$

$\displaystyle \dfrac{3}{5}$

$\displaystyle \dfrac{1}{6}$

None

What is the reciprocal of $\displaystyle -\dfrac{5}{9}$?

Topic: Reciprocal of a Rational Number

Deselect Answer

$\displaystyle -\dfrac{9}{5}$

$\displaystyle -\dfrac{5}{9}$

$\displaystyle \dfrac{{-5}}{{-9}}$

$\displaystyle \dfrac{9}{5}$

None

Write $\displaystyle \dfrac{{-18}}{{24}}$ in its standard form.

Topic: Standard Form of a Rational Number

Deselect Answer

$\displaystyle \dfrac{{-3}}{4}$

$ \displaystyle \dfrac{3}{4}$

$\displaystyle \dfrac{{-4}}{3}$

$ \displaystyle \dfrac{8}{6}$

None

Which of the following numbers is equivalent to $\displaystyle -\dfrac{8}{{12}}$ when expressed in its simplest form?

Topic: Introduction to Rational Numbers

Deselect Answer

$\displaystyle \dfrac{{-2}}{3}$

$\displaystyle \dfrac{5}{5}$

$\displaystyle \dfrac{{-4}}{6}$

$\displaystyle \dfrac{2}{3}$

None

Find a rational number between $\displaystyle -\dfrac{4}{7}and\dfrac{2}{7}$.

Topic: Rational Numbers between Two Rational Numbers

Deselect Answer

$\displaystyle -\dfrac{4}{7}$

$\displaystyle -\dfrac{3}{7}$

$\displaystyle \dfrac{4}{7}$

$\displaystyle \dfrac{5}{7}$

None

Which of the following is not in its standard form?

Topic: Standard Form of a Rational Number

Deselect Answer

$\displaystyle \dfrac{2}{3}$

$\displaystyle \dfrac{6}{8}$

$\displaystyle \dfrac{5}{3}$

$\displaystyle \dfrac{4}{9}$

None

10.

The product of two rational numbers $\displaystyle \dfrac{{-3}}{4}and\dfrac{1}{3}$ is:

Topic: Properties of Rational Numbers

Deselect Answer

$\displaystyle -\dfrac{1}{3}$

$\displaystyle -\dfrac{1}{9}$

$\displaystyle -\dfrac{1}{4}$

$\displaystyle \dfrac{1}{3}$

None

11.

Which of the following is not a rational number?

Topic: Introduction to Rational Numbers

Deselect Answer

√4

√2

√9

√6

None

12.

Compare $\displaystyle -\dfrac{4}{5}and-\dfrac{3}{4}$ :

Topic: Comparison of Rational Numbers

Deselect Answer

$\displaystyle -\dfrac{4}{5}<-\dfrac{3}{4}$

$\displaystyle -\dfrac{4}{5}=-\dfrac{3}{4}$

$\displaystyle -\dfrac{4}{5}>-\dfrac{3}{4}$

Cannot compare

None

13.

Which of the following fractions is in its standard form?

Topic: Standard Form of a Rational Number

Deselect Answer

$\displaystyle \dfrac{9}{6}$

$\displaystyle -\dfrac{5}{7}$

$\displaystyle \dfrac{5}{7}$

$\displaystyle \dfrac{3}{4}$

None

14.

If you multiply any rational number by 0, the result will be:

Topic: Properties of Rational Numbers

Deselect Answer

The same rational number

None of the above

None

15.

Which of the following statements is true about rational numbers?

Topic: Introduction to Rational Numbers

Deselect Answer

A rational number is any number that can be written in the form $\displaystyle \dfrac{a}{b},\text{ where }a\text{ and }b\text{ are interger, and }b\ne 0$

A rational number is any whole number.

A rational number can only be positive.

A rational number can only be negative.

None

16.

$\displaystyle \text{if }x=\dfrac{5}{8}\text{and }y=-\dfrac{3}{4},\text{ then find }x-y:$

Topic: Operations on Rational Numbers

Deselect Answer

$\displaystyle \dfrac{7}{6}$

$\displaystyle \dfrac{{11}}{8}$

$\displaystyle -\dfrac{7}{6}$

$\displaystyle -\dfrac{{11}}{8}$

None

17.

What is $\displaystyle \dfrac{2}{3}\times \dfrac{{-3}}{4}$ ?

Topic: Operations on Rational Numbers

Deselect Answer

$\displaystyle \dfrac{2}{3}$

$\displaystyle -\dfrac{5}{3}$

$\displaystyle -\dfrac{2}{3}$

$\displaystyle -\dfrac{1}{2}$

None

18.

Convert $\displaystyle \dfrac{{50}}{{-125}}$ to its standard form.

Topic: Standard Form of a Rational Number

Deselect Answer

$\displaystyle -\dfrac{2}{3}$

$\displaystyle -\dfrac{2}{5}$

$\displaystyle \dfrac{2}{3}$

$\displaystyle \dfrac{2}{5}$

None

19.

Which rational number has the same reciprocal as itself?

Topic: Reciprocal of a Rational Number

Deselect Answer

-1

None

20.

Which property of rational numbers is used in the equation $\displaystyle \dfrac{3}{4}+\dfrac{{\left( {-3} \right)}}{4}=0?$

Topic: Properties of Rational Numbers

Deselect Answer

Commutative property

Associative property

Additive inverse property

Identity property

None

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Class 8 Quiz Level 2 (Moderate) – Rational Numbers

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