NCERT Solutions for Class 3 Maths Chapter 01 What's in a Name

Chapter 1: What's in a Name?

Question. What could Deba and Deep do?
Answer: Deba and Deep can write lines on the wall when each cow goes out or comes back inside. This easy trick helps them check if all the cows returned safely.
In simple words: Deba and Deep can draw lines on a wall to count their cows as they go out and come back home.

Exam Tip: Always describe how drawing marks on a wall is a simple way of keeping a count of items.

Question. Did all the cows come back home?
Answer: At first, two cows were missing because two marks remained on the wall. They searched the nearby grass field, found the lost cows, and brought them home safely.
In simple words: No, at first two cows were left behind, but they found them later and brought them home.

Exam Tip: Be sure to write that even though some cows were late, all of them eventually returned home.

Question. Why were Deba and Deep worried?
Answer: They were worried because two marks stayed on the wall but they saw no cows outside. This meant two cows were lost, and they feared they had lost some of their animals.
In simple words: They were worried because the marks on the wall showed that two cows had not returned home yet.

Exam Tip: Explain that the leftover marks on the wall are the clues that tell the boys some cows are missing.

Question. How many cows had reached home?
Answer: Since two marks were still left on the wall, it meant two cows had not returned. So, the total number of cows that reached home was all of them except those two.
In simple words: All the cows reached home safely except for the two that were left behind in the field.

Exam Tip: Use simple subtraction to show that the returning cows equal the total cows minus the missing ones.

Question. Help Hemant keep track of his cows and sheep by making marks like Deba and Deep.
Answer: How Hemant can count his animals:
* When they leave the farm: Hemant draws a line on the wall for each cow that goes out. He makes a different line for each sheep.
* When they return to the farm: When a cow returns, Hemant puts a cross through one cow line. When a sheep returns, he crosses out one sheep line.
* Checking for lost animals: At sunset, if any lines are not crossed out, those animals are still out. For example, if Hemant has 36 cows and 23 sheep, he draws 36 cow lines and 23 sheep lines in the morning. If 2 cow lines and 1 sheep line are not crossed at night, then 2 cows and 1 sheep are still lost.
In simple words: Draw a line for each animal that leaves, and cross it out when it comes back. Uncrossed lines show which ones are still lost.

Exam Tip: Group your counting method into three clear steps: marking on exit, crossing on entry, and checking the leftovers.

Question 1. Some animals and birds got together to play a game. They wanted to make 2 teams. They decided that the captain of the first team will be the one with the longest name, i.e., the one with the most letters. The captain of the second team will be the one with the shortest name, i.e., the one with the fewest letters.
Find out the captains of the 2 teams.
First team : [ ] Letter count: [ ]
Second team : [ ] Letter count: [ ]
Answer: Here are the letter counts of the animals:
* tiger: 5 letters
* dog: 3 letters
* snake: 5 letters
* goat: 4 letters
* lion: 4 letters
* elephant: 8 letters
* deer: 4 letters
* ox: 2 letters
* rat: 3 letters
* monkey: 6 letters
Captains chosen for the two teams:
* First team (Longest name): Elephant | Letter count: 8
* Second team (Shortest name): Ox | Letter count: 2
In simple words: The elephant is the captain of Team 1 because its name is the longest. The ox is the captain of Team 2 because its name is the shortest.

Exam Tip: Carefully write down each animal name and count its letters one-by-one to avoid making mistakes in your final count.

Question 2. Who has a longer name? Discuss.
Answer: Both Mahesh and Kartik have names with exactly six letters. So, their names are the same length.
In simple words: Neither name is longer because both Mahesh and Kartik have exactly six letters in their names.

Exam Tip: Show the spelling of both names and count them out loud to prove they are equal in length.

Question 3. Write down the names of some of your friends in the spaces given below and then answer the questions from a to f.
a. Tick the longest name(s) and cross the shortest name(s).
b. Write the starting letter of your name. ________
c. Count all the name(s) that have the same starting letter as yours. [ ]
d. Which starting letter is the most used? Count the names that begin with it. [ ]
e. Count the names with the same ending letter. [ ]
f. Write the letters that are not the starting letter of any name.
Answer: Let us use the list of friends' names from our classroom example: Sia, Yogesh, Nikhil, Priya, Chirag, Namita, Amit, and Sikandar.
* a. Ticking and crossing names:
* Longest name: Sikandar (8 letters) (✓)
* Shortest name: Sia (3 letters) (✗)
* b. Starting letter of my name: S
* c. Names with the same starting letter 'S': 2 (Sia and Sikandar)
* d. Most used starting letter: S (with a count of 2 names)
* e. Names ending with the same letter 'a': 2 (Priya and Namita)
* f. Letters not starting any name in this list: B, D, E, F, G, H, I, J, K, L, M, O, Q, R, T, U, V, W, X, Y, Z
In simple words: Sikandar is the longest name, and Sia is the shortest. We can group names by their starting and ending letters.

Exam Tip: Count the letters in each name carefully. Remember to include your own name when counting identical starting letters.

Question 4. Teji and Jojo are making numbers using these cards.
a. Write your roll number using number cards as shown above.
• My roll number is ________
• Its number name has ________ letters.
b. Write some numbers and their number names in your notebook. How many letters does each have?
Answer:
* a. My roll number example:
* My roll number is 18.
* Its number name is "Eighteen", which has 8 letters.
* b. Examples of numbers and their letter counts:
* 5 (Five): has 4 letters.
* 10 (Ten): has 3 letters.
* 12 (Twelve): has 6 letters.
In simple words: We can spell out numbers and count the letters in their names, like "Ten" has three letters and "Five" has four.

Exam Tip: When writing number names, make sure your spelling is correct before counting the letters.

Question. Teji and Jojo made the number 56 (Fifty-six). It has 8 letters. Write other numbers between 1 and 99 that have 8 letters.
Answer: Here are several numbers between 1 and 99 whose spelled-out names have exactly 8 letters:
* forty-two (42) - has 8 letters
* Sixty-two (62) - has 8 letters
* Fifty-one (51) - has 8 letters
* Eighteen (18) - has 8 letters
* Forty-six (46) - has 8 letters
* Thirteen (13) - has 8 letters
In simple words: Spelled-out numbers like eighteen (18) and fifty-one (51) have exactly eight letters in their names.

Exam Tip: Include the hyphen "-" in two-word names like "forty-two" but only count the alphabetic letters to find the total.

Question 1. Write the number(s) between 1 and 99 that have the longest name.
Answer:
* The numbers between 1 and 99 with the longest spelled names are Seventy-seven (12 letters) and Twenty-seven (11 letters).
* Box 1 Solution: The number is Ninety-eight (98) because its first word has 6 letters (Ninety) and its second word has 5 letters (eight), and it is very close to 100.
* Box 2 Solution: The number is Seventy (70) because its name is the shortest (only 7 letters) among all numbers from 63 to 78.
In simple words: Ninety-eight has eleven letters, and seventy is the shortest name among the numbers from 63 to 78.

Exam Tip: Write out the names in clean block letters to make counting letters easy and accurate during exams.

Question 2. Make similar puzzles of your own in your notebook and ask your classmates.
Answer: Here are two fun name puzzles to share:
1. Puzzle 1: My number name has one word with only three letters. I am the double of five. Who am I? (Answer: Ten)
2. Puzzle 2: My number name has two words. The first word has five letters, and the second has four letters. I am equal to forty plus four. Who am I? (Answer: Forty-four)
In simple words: We can create riddles about numbers by giving clues about their math values and how many letters are in their names.

Exam Tip: Ensure that your riddle has only one correct mathematical answer so it works as a fair puzzle.

Question. What is common in each of the groups Jojo has made?
Answer: Jojo grouped the cards into things that can fly (like birds and airplanes) and things that cannot fly (like fish and keys).
In simple words: Jojo sorted the pictures into things that fly in the sky and things that stay on the ground or water.

Exam Tip: Look at the cards closely to find a simple, shared action (like flying) when describing Jojo's groups.

Question. Given below are pictures of some household objects. Write the names of the above objects in the two groups given below.
Answer: We can group the household items by their use of power:
* Things that need electricity: TV, Fan, Lamp.
* Things that do not need electricity: Clock, Chair, Pillow, Bed, Blanket.
In simple words: TVs, fans, and lamps need electricity to run. Chairs, beds, and blankets do not need any power.

Exam Tip: Remember that battery-operated clocks do not need main wall plugs, so they are grouped under non-electricity things.

Question. Group the objects given above differently. Write them down in the space below.
Answer: We can group them by where they belong in a house:
* Things we use in the bedroom: Bed, Pillow, Blanket.
* Things we use in the living room: TV, Fan, Chair, Lamp, Clock.
In simple words: We can sort household items by putting bedroom things in one list and living room things in another list.

Exam Tip: Try sorting objects by material (wood, cloth, plastic) as another great way to answer classification questions.

Question. Hair Styles. Mala is going to school. Her mother has combed her hair. Mala has two ponytails. Look at the children in your class. All children comb their hair in different ways. Look and write down.
Answer: Here is how the children in our classroom style their hair:

In simple words: This table displays the different ways students style their hair and how many kids choose each style.

Exam Tip: This is a data-handling activity. Count each student carefully and write the correct number in the corresponding box.