Class 8 Representing on the Number Line — practice questions with answers
Rational Numbers · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.
1. To represent the rational number 43 on the number line, into how many equal parts must the segment from 0 to 1 be divided?
A3
B4
C7
D12
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Answer: B) 4
The denominator tells the number of equal parts. For 43 the segment 0 to 1 is divided into 4 equal parts, and we take the 3rd point.
2. Which point is closer to 0 on the number line: 52 or 31?
A52
B31
CBoth equal
DCannot be decided
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Answer: B) 31
52=0.4 and 31=0.333... Since 31<52, it is nearer to 0.
3. Meena wants to plot 49 on the number line. Between which two whole-number marks will the point lie?
A1 and 2
B2 and 3
C3 and 4
D4 and 5
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Answer: B) 2 and 3
49=2.25, so it lies between 2 and 3.
4. Two rational numbers a and b are plotted with a=−21 and b at the same distance from 0 as a but on the opposite side. A third point c is the midpoint of a and b. What rational number is c?
A1
B0
C2
D-1
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Answer: B) 0
b=21 (opposite of −21). Midpoint c=2−1/2+1/2=0.
5. On a number line, point P is at −35 and point Q is at 37. A point R is placed so that it divides segment PQ into a left part and a right part with the left part being exactly twice the right part. What rational number is at R?
A1
B31
C35
D32
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Answer: A) 1
PQ length =37−(−35)=312=4. Left:right = 2:1 means left part =32(4)=38. R=P+38=−35+38=33=1.