Class 8 Rational Numbers on the Number Line — practice questions with answers

Number System · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.

1. To mark the rational number

\frac{3}{4}

on the number line between 0 and 1, into how many equal parts must the segment from 0 to 1 be divided?

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Answer: B) 4

The denominator tells the number of equal parts. For

\frac{3}{4}

the segment 0 to 1 is divided into 4 equal parts; the 3rd mark is

\frac{3}{4}

2. Which rational number lies exactly midway between

\frac{1}{2}

and 1 on the number line?

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Answer: B)

\frac{3}{4}

Midpoint =

\frac{\frac{1}{2} + 1}{2} = \frac{3/2}{2} = \frac{3}{4}

3. Which rational number is represented by the point that is

\frac{2}{3}

of the way from 0 to 3 on the number line?

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Answer: C) 2

\frac{2}{3}

of 3 =

\frac{2}{3} \times 3 = 2

4. A number line is marked with the integers and Ishaan must place

\frac{13}{6}

.
First he writes it as a mixed number, then locates it.
Between which two consecutive integer marks does

\frac{13}{6}

lie?

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Answer: B) 2 and 3

\frac{13}{6} = 2 \frac{1}{6}

, which lies between 2 and 3.

5. On a number line, four points are equally spaced: the first at

\frac{1}{6}

and the last (fourth) at

\frac{5}{6}

.
The spacing between consecutive points is constant.
What rational number is the SECOND point?

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Answer: B)

\frac{7}{18}

Total gap =

\frac{5}{6} - \frac{1}{6} = \frac{4}{6} = \frac{2}{3}

split into 3 equal steps, so each step =

\frac{2}{9}

. Second point =

\frac{1}{6} + \frac{2}{9} = \frac{3}{18} + \frac{4}{18} = \frac{7}{18}

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