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NCERT Solutions Ganita Prakash Chapter 3 Figure it Out — Simple Estimation

Book page 69 & 70 Updated on2026-09-05

Q1.
Steps you would take to walk: a. From the place you are sitting to the classroom door b. Across the school ground from start to end c. From your classroom door to the school gate d. From your school to your home
Answer

These answers will be different for every child — the point is the method. One step of a Class 6 student is roughly half a metre, so 2 steps ≈ 1 metre.

DistanceRough lengthEstimated steps
a. Seat to classroom doorabout 5 mabout 10 steps
b. Across the school groundabout 100 mabout 200 steps
c. Classroom door to school gateabout 150 mabout 300 steps
d. School to homeabout 1 km = 1000 mabout 2000 steps
Check it yourself: actually count your steps from your seat to the door. Then use that as your “ruler” — if 10 steps cross the classroom, and the ground is about 20 classrooms long, the ground is about 200 steps.
Q2.
Number of times you blink your eyes or number of breaths you take: a. In a minute b. In an hour c. In a day
Answer

Count for one minute, then multiply. A child usually blinks about 15 times and breathes about 20 times in a minute.

PeriodWorkingBlinksBreaths
a. In a minutecounted directlyabout 15about 20
b. In an hour× 60about 900about 1,200
c. In a day× 24about 21,600about 28,800
Blinks in a day = 15 × 60 × 24 = 15 × 1440 = 21,600
Breaths in a day = 20 × 60 × 24 = 20 × 1440 = 28,800
A sensible correction: we do not blink while asleep. If you sleep for 8 hours, the blinks come down to about 15 × 60 × 16 = 14,400 a day. Breathing, of course, continues all night.
Q3.
Name some objects around you that are: a. a few thousand in number b. more than ten thousand in number
Answer

a. A few thousand (roughly 1,000 – 9,000)

  • Bricks in the wall of your classroom.
  • Words on ten pages of your textbook.
  • Grains of rice in a small bowl.
  • Students in a big school, or people in a small village.
  • Tiles on the floor of the school building.

b. More than ten thousand

  • Hairs on your head (about 1,00,000).
  • Grains of rice in a 1 kg packet (about 40,000).
  • Leaves on a big banyan tree.
  • People watching a match in a stadium.
  • Letters printed in your maths textbook.
Tip: to estimate the bricks in a wall, count the bricks in one row and the number of rows, then multiply — do not try to count them one by one!
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