Chapter 3 of 11
⬅️ Ch 2: Shapes Around Us Ch 4: Shadow Story ➡️
NCERT Class 2 Mathematics • New NEP 2020 / NCF-FS

Chapter 3: Fun with Numbers

2-Digit Numbers (1–100), Tens & Ones Place Value & Ordering | CBSE Session 2026–27

Core Pedagogical Competencies & Concepts
  • Building numbers 1 to 100 with bundles of 10 and single units (ones).
  • Finding predecessor (before), successor (after), and between numbers.
  • Comparing 2-digit numbers using <, >, and = symbols.
  • Expanding numbers into Tens and Ones (e.g. 64 = 60 + 4).
3 Tens (30) + 3 Ones (3) = 33

All Textbook Exercises & In-Text Tasks (20 Questions)

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Q1 Tens and Ones Place Value
Write the number shown by 5 bundles of 10 sticks and 8 loose sticks. What is the value of the digit in the tens place?
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• 5 bundles of 10 = 5 tens = 50
• 8 loose sticks = 8 ones = 8
• Number = 50 + 8 = 58.
• The digit in the tens place is 5, and its value is 50.
CBSE Step-by-Step Marking Scheme
Number identification: 58 1 M
Value of tens digit: 50 1 M
Q2 Number Expansion
Expand the following numbers into Tens and Ones:
(a) 43 = __ tens + __ ones = __ + __
(b) 76 = __ tens + __ ones = __ + __
(c) 90 = __ tens + __ ones = __ + __
[3 Marks]
✅ Step-by-Step Solution & Working
Answers:
(a) 43 = 4 tens + 3 ones = 40 + 3
(b) 76 = 7 tens + 6 ones = 70 + 6
(c) 90 = 9 tens + 0 ones = 90 + 0.
CBSE Step-by-Step Marking Scheme
Part (a) correct 1 M
Part (b) correct 1 M
Part (c) correct 1 M
Q3 Before, After and Between
Fill in the missing numbers:
(a) What comes just before 60? ______
(b) What comes just after 89? ______
(c) What comes between 74 and 76? ______
(d) What comes between 98 and 100? ______
[2 Marks]
✅ Step-by-Step Solution & Working
Answers:
(a) Just before 60 is 59.
(b) Just after 89 is 90.
(c) Between 74 and 76 is 75.
(d) Between 98 and 100 is 99.
CBSE Step-by-Step Marking Scheme
All 4 correct (0.5 M each) 2 M
Q4 Comparing 2-Digit Numbers
Insert <, >, or = in the boxes:
(a) 47 [ ] 74
(b) 85 [ ] 58
(c) 63 [ ] 60 + 3
(d) 91 [ ] 99
[2 Marks]
✅ Step-by-Step Solution & Working
Answers:
(a) 47 < 74 (4 tens is less than 7 tens)
(b) 85 > 58 (8 tens is greater than 5 tens)
(c) 63 = 60 + 3 (both equal 63)
(d) 91 < 99 (same tens, but 1 one is less than 9 ones).
CBSE Step-by-Step Marking Scheme
All 4 correct comparison signs (0.5 M each) 2 M
Q5 Ordering Numbers • Increasing Order
Arrange the given numbers in ascending order (smallest to greatest): 54, 21, 88, 37, 19.
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• Compare tens digits: 19 (1 ten), 21 (2 tens), 37 (3 tens), 54 (5 tens), 88 (8 tens).
• Ascending Order: 19, 21, 37, 54, 88.
CBSE Step-by-Step Marking Scheme
Method of comparing tens digits 1 M
Correct order: 19, 21, 37, 54, 88 1 M
Q6 Ordering Numbers • Decreasing Order
Arrange the given numbers in descending order (greatest to smallest): 62, 95, 34, 79, 41.
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• Compare tens digits: 95 (9 tens), 79 (7 tens), 62 (6 tens), 41 (4 tens), 34 (3 tens).
• Descending Order: 95, 79, 62, 41, 34.
CBSE Step-by-Step Marking Scheme
Correct descending sequence 2 M
Q7 Number Names in Words
Write the number names for: (a) 38, (b) 65, (c) 82, (d) 49.
[2 Marks]
✅ Step-by-Step Solution & Working
Answers:
(a) 38 = Thirty-eight
(b) 65 = Sixty-five
(c) 82 = Eighty-two
(d) 49 = Forty-nine.
CBSE Step-by-Step Marking Scheme
Correct spellings for all 4 numbers 2 M
Q8 Numerals from Words
Write the numeral for:
(a) Seventy-one: ______
(b) Fifty-four: ______
(c) Eighty-eight: ______
(d) Ninety-nine: ______
[2 Marks]
✅ Step-by-Step Solution & Working
Answers:
(a) 71
(b) 54
(c) 88
(d) 99.
CBSE Step-by-Step Marking Scheme
All 4 numerals correct (0.5 M each) 2 M
Q9 Skip Counting on 100-Chart
Starting from 10, skip count forward by 10s up to 100. Write the complete series.
[2 Marks]
✅ Step-by-Step Solution & Working
Answer:
10, 20, 30, 40, 50, 60, 70, 80, 90, 100.
CBSE Step-by-Step Marking Scheme
Complete 10s sequence 2 M
Q10 Backward Counting
Write the backward counting from 50 down to 42.
[2 Marks]
✅ Step-by-Step Solution & Working
Answer:
50, 49, 48, 47, 46, 45, 44, 43, 42.
CBSE Step-by-Step Marking Scheme
Accurate backward counting 2 M
Q11 Abacus Representation
An abacus has 6 green beads on the Tens spike and 3 blue beads on the Ones spike. What number does the abacus represent?
[2 Marks]
✅ Step-by-Step Solution & Working
Answer:
• Tens spike = 6 beads = 60
• Ones spike = 3 beads = 3
• Number represented = 60 + 3 = 63.
CBSE Step-by-Step Marking Scheme
Tens and ones value 1 M
Total number: 63 1 M
Q12 Number Riddle
I have 7 in my tens place and the same digit in my ones place. What number am I?
[1 Marks]
✅ Step-by-Step Solution & Working
Answer:
• Tens digit = 7
• Ones digit = 7
• The number is 77 (Seventy-seven).
CBSE Step-by-Step Marking Scheme
Identified 77 1 M
Q13 Number Riddle
I am more than 30 but less than 40. My ones digit is double my tens digit (3 × 2 = 6). What number am I?
[2 Marks]
✅ Step-by-Step Solution & Working
Answer:
• Tens digit = 3
• Ones digit = 3 × 2 = 6
• The number is 36.
CBSE Step-by-Step Marking Scheme
Deduction steps 1 M
Number = 36 1 M
Q14 Greatest and Smallest
From the numbers [64, 46, 82, 28, 75]:
(a) Which is the greatest number?
(b) Which is the smallest number?
[2 Marks]
✅ Step-by-Step Solution & Working
Answer:
(a) Greatest number is 82 (has the largest tens digit, 8).
(b) Smallest number is 28 (has the smallest tens digit, 2).
CBSE Step-by-Step Marking Scheme
Greatest: 82 1 M
Smallest: 28 1 M
Q15 Word Problem • Marble Collection
Kabir has 47 glass marbles. His cousin Aman has 52 glass marbles. Who has more marbles and by how many?
[3 Marks]
✅ Step-by-Step Solution & Working
Solution:
1. Aman has 52, Kabir has 47.
2. Since 52 > 47, Aman has more marbles.
3. Difference = 52 - 47 = 5 more marbles.
CBSE Step-by-Step Marking Scheme
Aman has more marbles 1.5 M
Difference = 5 marbles 1.5 M
Q16 Let Us Do • Tens and Ones Table
Complete the table:
• 2 tens + 5 ones = [__]
• 8 tens + 9 ones = [__]
• 6 tens + 0 ones = [__]
• 1 ten + 7 ones = [__]
[2 Marks]
✅ Step-by-Step Solution & Working
Answers:
• 2 tens + 5 ones = 25
• 8 tens + 9 ones = 89
• 6 tens + 0 ones = 60
• 1 ten + 7 ones = 17.
CBSE Step-by-Step Marking Scheme
All 4 table rows correct (0.5 M each) 2 M
Q17 Mental Math • Number Line
A grasshopper starts at 25 and takes 3 big hops of 5 forward. Which numbers does it land on?
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• Hop 1: 25 + 5 = 30
• Hop 2: 30 + 5 = 35
• Hop 3: 35 + 5 = 40.
• The grasshopper lands on 30, 35, and finishes on 40.
CBSE Step-by-Step Marking Scheme
Intermediate hops 1 M
Final landing number 40 1 M
Q18 True or False • Place Value
Write True or False:
(a) In the number 83, the place value of 8 is 8.
(b) 10 tens make 100.
(c) The smallest 2-digit number is 10.
[3 Marks]
✅ Step-by-Step Solution & Working
Answers:
(a) False (The place value of 8 in 83 is 80).
(b) True (10 × 10 = 100).
(c) True (10 is the first 2-digit number).
CBSE Step-by-Step Marking Scheme
All 3 statements evaluated correctly (1 M each) 3 M
Q19 Making Numbers with Digits
Using the digits 3 and 7 once each, form:
(a) The greatest 2-digit number.
(b) The smallest 2-digit number.
[2 Marks]
✅ Step-by-Step Solution & Working
Answer:
(a) Greatest 2-digit number: Put larger digit 7 in tens place = 73.
(b) Smallest 2-digit number: Put smaller digit 3 in tens place = 37.
CBSE Step-by-Step Marking Scheme
Greatest: 73 1 M
Smallest: 37 1 M
Q20 Real-Life Math • Bead Necklace
Meera makes necklaces using 10 beads in each necklace. If she has 38 beads, how many complete necklaces can she make? How many beads are left over?
[2 Marks]
✅ Step-by-Step Solution & Working
Solution:
• Total beads = 38
• Beads per necklace = 10
• 38 = 30 + 8 = (3 tens) + (8 ones).
• Meera can make 3 complete necklaces and 8 beads are left over.
CBSE Step-by-Step Marking Scheme
3 complete necklaces 1 M
8 beads remainder 1 M
🌟 NEP 2020 Competency-Based Case Study

Classroom Pencil Inventory

The class teacher has 4 boxes of 10 pencils each, and 7 loose pencils on her desk. She needs 50 pencils for an art contest.

Analytical Task: How many total pencils does the teacher have right now? How many more pencils does she need to reach 50?
Evaluation & Model Answer:
1. 4 boxes of 10 = 4 × 10 = 40 pencils.
2. Plus 7 loose pencils = 40 + 7 = 47 pencils.
3. Shortage to reach 50 = 50 - 47 = 3 more pencils needed.
Rubric: 1.5 M for total inventory (47) + 1.5 M for shortage calculation (3)
⬅️ Ch 2: Shapes Around Us Ch 4: Shadow Story ➡️