NCERT Solutions Ganita Prakash Chapter 3 Figure it Out — Patterns of Numbers on the Number Line (2026-27)

Q1.

Identify the numbers marked on the number lines below, and label the remaining positions. a. …, 2010, …, 2020, … b. …, 9996, 9997, … c. 15,077, 15,078, …, 15,083, … d. …, 86,705, 87,705, …

Answer

First find the jump between two neighbouring marks, then count forwards and backwards.

a. 2010 and 2020 are two marks apart, so 20 ÷ 2 gives a jump of 5:

1990

1995

2000

2005

2010

2015

2020

2025

2030

2035

b. 9996 and 9997 are next to each other, so the jump is 1:

9993

9994

9995

9996

9997

9998

9999

10,000

10,001

10,002

c. 15,077 and 15,078 are next to each other, so the jump is 1:

15,077

15,078

15,079

15,080

15,081

15,082

15,083

15,084

15,085

15,086

d. 86,705 and 87,705 are next to each other, so the jump is 1000:

83,705

84,705

85,705

86,705

87,705

88,705

89,705

90,705

91,705

92,705

The method in one line: difference between two known marks ÷ number of steps between them = the jump. In (a) the difference is 2020 − 2010 = 10 over 2 steps, so each step is 5.

Q2.

Put a circle around the smallest number and a box around the largest number in each of the sequences above.

Answer

In every one of these number lines the numbers grow from left to right. So the first mark is always the smallest and the last mark is always the largest.

Sequence	Smallest (circle it)	Largest (box it)
a.	1990	2035
b.	9993	10,002
c.	15,077	15,086
d.	83,705	92,705

Did you notice? In (b) the sequence crosses a big landmark — 9999 is followed by 10,000, where a 4-digit number becomes a 5-digit number.