Chapter 3 of 14
Chapter 3: Double Century
3-Digit Numbers, Place Value up to 200, Century & Number Line Jumps | CBSE Session 2026–27
Core Pedagogical Competencies & Concepts
- Understanding 'Century' (100) and 'Double Century' (200).
- Counting beyond 100 up to 200 in 1s, 2s, 5s, and 10s.
- Cricket scores and running between wickets: practical applications of centuries.
- Number line representation and skip counting forward and backward.
All Textbook Exercises & In-Text Tasks (18 Questions)
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Q1
Cricket Match Math • Centuries
In an ODI cricket match, Dhoni was batting on 93. A six was hit on the next ball. (a) Did he complete his century? (b) How many runs did he score in total?
[3 Marks]
✅ Step-by-Step Solution & Working
Solution:
• Initial score = 93 runs
• Runs from six = 6 runs
• Total score = 93 + 6 = 99 runs.
• (a) A century is exactly 100 runs. Since 99 is 1 less than 100, he did not complete his century (missed by 1 run).
• (b) Total score = 99 runs.
• Initial score = 93 runs
• Runs from six = 6 runs
• Total score = 93 + 6 = 99 runs.
• (a) A century is exactly 100 runs. Since 99 is 1 less than 100, he did not complete his century (missed by 1 run).
• (b) Total score = 99 runs.
CBSE Step-by-Step Marking Scheme
Correct addition (93 + 6 = 99)
1.5 M
Accurate century determination (100 runs needed)
1.5 M
Q2
Textbook Exercise • Number Patterns
Write the next four numbers for each sequence: (a) 102, 104, 106, __, __, __, __ (Jump 2 steps). (b) 150, 160, 170, __, __, __, __ (Jump 10 steps).
[2 Marks]
✅ Step-by-Step Solution & Working
Answers:
(a) Skip counting by 2:
102, 104, 106, 108, 110, 112, 114.
(b) Skip counting by 10:
150, 160, 170, 180, 190, 200, 210.
(a) Skip counting by 2:
102, 104, 106, 108, 110, 112, 114.
(b) Skip counting by 10:
150, 160, 170, 180, 190, 200, 210.
CBSE Step-by-Step Marking Scheme
Correct skip counting by 2
1.0 M
Correct skip counting by 10 reaching 200
1.0 M
Q3
Place Value Exploration • Expanded Form
Write the number name and expanded form for: (1) 147, (2) 199, (3) 200.
[3 Marks]
✅ Step-by-Step Solution & Working
Table of Values:
• 147: One hundred forty-seven = 100 + 40 + 7 (1 Hundred, 4 Tens, 7 Ones)
• 199: One hundred ninety-nine = 100 + 90 + 9 (1 Hundred, 9 Tens, 9 Ones)
• 200: Two hundred = 200 + 0 + 0 (2 Hundreds, 0 Tens, 0 Ones).
• 147: One hundred forty-seven = 100 + 40 + 7 (1 Hundred, 4 Tens, 7 Ones)
• 199: One hundred ninety-nine = 100 + 90 + 9 (1 Hundred, 9 Tens, 9 Ones)
• 200: Two hundred = 200 + 0 + 0 (2 Hundreds, 0 Tens, 0 Ones).
CBSE Step-by-Step Marking Scheme
Correct number names
1.5 M
Correct 3-digit place value breakdowns
1.5 M
Q4
Cricket Scoreboard Analysis • Centuries
Study the scores of four batsmen in an inter-school match:
• A.S. Kapil: 162 runs
• C.K. Nayudu: 128 runs
• P.K. Roy: 93 runs
• V.V.S. Laxman: 197 runs
(a) Who scored the highest runs, and who scored the lowest?
(b) How many more runs did V.V.S. Laxman need to complete a double century (200 runs)?
(c) How many more runs did P.K. Roy need to complete a century (100 runs)?
[3 Marks]
• A.S. Kapil: 162 runs
• C.K. Nayudu: 128 runs
• P.K. Roy: 93 runs
• V.V.S. Laxman: 197 runs
(a) Who scored the highest runs, and who scored the lowest?
(b) How many more runs did V.V.S. Laxman need to complete a double century (200 runs)?
(c) How many more runs did P.K. Roy need to complete a century (100 runs)?
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
(a) Highest and Lowest:
• Highest scorer: V.V.S. Laxman (197 runs)
• Lowest scorer: P.K. Roy (93 runs)
(b) Runs to Double Century:
• Target = 200 runs
• V.V.S. scored = 197 runs
• Needed = 200 - 197 = 3 runs.
(c) Runs to Century:
• Target = 100 runs
• P.K. scored = 93 runs
• Needed = 100 - 93 = 7 runs.
(a) Highest and Lowest:
• Highest scorer: V.V.S. Laxman (197 runs)
• Lowest scorer: P.K. Roy (93 runs)
(b) Runs to Double Century:
• Target = 200 runs
• V.V.S. scored = 197 runs
• Needed = 200 - 197 = 3 runs.
(c) Runs to Century:
• Target = 100 runs
• P.K. scored = 93 runs
• Needed = 100 - 93 = 7 runs.
CBSE Step-by-Step Marking Scheme
Correct highest (197) and lowest (93) identified
1.0 M
Correct calculation for double century (200 - 197 = 3 runs)
1.0 M
Correct calculation for century (100 - 93 = 7 runs)
1.0 M
Q5
Number Line Jumps • Stepping Stones
In a stepping stone game on a 3-digit number track:
(a) A grasshopper starts at 110 and takes jumps of 10 steps forward. Write the next 4 numbers it lands on.
(b) A frog starts at 200 and takes jumps of 5 steps backward. Write the next 4 numbers it lands on.
[3 Marks]
(a) A grasshopper starts at 110 and takes jumps of 10 steps forward. Write the next 4 numbers it lands on.
(b) A frog starts at 200 and takes jumps of 5 steps backward. Write the next 4 numbers it lands on.
✅ Step-by-Step Solution & Working
Solution:
(a) Grasshopper's forward jumps (+10):
• 110 + 10 = 120
• 120 + 10 = 130
• 130 + 10 = 140
• 140 + 10 = 150.
(b) Frog's backward jumps (-5):
• 200 - 5 = 195
• 195 - 5 = 190
• 190 - 5 = 185
• 185 - 5 = 180.
(a) Grasshopper's forward jumps (+10):
• 110 + 10 = 120
• 120 + 10 = 130
• 130 + 10 = 140
• 140 + 10 = 150.
(b) Frog's backward jumps (-5):
• 200 - 5 = 195
• 195 - 5 = 190
• 190 - 5 = 185
• 185 - 5 = 180.
CBSE Step-by-Step Marking Scheme
Correct forward sequence: 120, 130, 140, 150
1.5 M
Correct backward sequence: 195, 190, 185, 180
1.5 M
Q6
Place Value & Expanded Form • 3-Digit Numbers
For the number 284:
(a) Write 284 in expanded form showing Hundreds, Tens, and Ones.
(b) Write the number name in words.
(c) State the place value and face value of the digit '8'.
[3 Marks]
(a) Write 284 in expanded form showing Hundreds, Tens, and Ones.
(b) Write the number name in words.
(c) State the place value and face value of the digit '8'.
✅ Step-by-Step Solution & Working
Step-by-Step Analysis:
(a) Expanded Form:
• 284 = 2 Hundreds + 8 Tens + 4 Ones = 200 + 80 + 4.
(b) Number Name:
• Two hundred eighty-four.
(c) Digit '8':
• Place Value: 8 Tens = 80.
• Face Value: 8.
(a) Expanded Form:
• 284 = 2 Hundreds + 8 Tens + 4 Ones = 200 + 80 + 4.
(b) Number Name:
• Two hundred eighty-four.
(c) Digit '8':
• Place Value: 8 Tens = 80.
• Face Value: 8.
CBSE Step-by-Step Marking Scheme
Correct expanded form (200 + 80 + 4)
1.0 M
Correct number name spelling
1.0 M
Correct place value (80) and face value (8)
1.0 M
Q7
Cricket Target Chase • Word Problem
In a 20-over match, Team Blue scored 182 runs. Team Green is batting and has scored 139 runs so far.
(a) What is the target score Team Green needs to win the match?
(b) How many more runs does Team Green need to reach the winning target?
(c) If they hit 3 sixes and 2 fours in the next over, how many runs will they score?
[3 Marks]
(a) What is the target score Team Green needs to win the match?
(b) How many more runs does Team Green need to reach the winning target?
(c) If they hit 3 sixes and 2 fours in the next over, how many runs will they score?
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
(a) Winning Target:
• Team Blue scored = 182 runs.
• Target to win = 182 + 1 = 183 runs.
(b) Runs Needed:
• Target = 183 runs.
• Current score = 139 runs.
• Runs needed = 183 - 139 = 44 runs.
(c) Next Over Runs:
• 3 sixes = 3 × 6 = 18 runs.
• 2 fours = 2 × 4 = 8 runs.
• Total = 18 + 8 = 26 runs.
(a) Winning Target:
• Team Blue scored = 182 runs.
• Target to win = 182 + 1 = 183 runs.
(b) Runs Needed:
• Target = 183 runs.
• Current score = 139 runs.
• Runs needed = 183 - 139 = 44 runs.
(c) Next Over Runs:
• 3 sixes = 3 × 6 = 18 runs.
• 2 fours = 2 × 4 = 8 runs.
• Total = 18 + 8 = 26 runs.
CBSE Step-by-Step Marking Scheme
Correct winning target (183 runs)
1.0 M
Correct subtraction (183 - 139 = 44 runs)
1.0 M
Correct boundary calculation (18 + 8 = 26 runs)
1.0 M
Q8
Textbook Activity • Century Scores
A cricket player scores 93 runs. How many more runs does he need to complete a century (100 runs)?
[1 Marks]
✅ Step-by-Step Solution & Working
Calculation:
• 1 Century = 100 runs.
• Runs scored = 93.
• Runs needed = 100 - 93 = 7 runs.
• 1 Century = 100 runs.
• Runs scored = 93.
• Runs needed = 100 - 93 = 7 runs.
CBSE Step-by-Step Marking Scheme
100 - 93 = 7 runs
1 M
Q9
Cricket Records • Top Scorers Table
In a school match, player scores are: C.K. (99 runs), Dhoni (102 runs), Virat (162 runs), Rahane (152 runs).
(a) Who missed a century by just 1 run?
(b) Who scored almost one and a half centuries (150 runs)?
(c) How many runs did Rahane and Dhoni score together?
[3 Marks]
(a) Who missed a century by just 1 run?
(b) Who scored almost one and a half centuries (150 runs)?
(c) How many runs did Rahane and Dhoni score together?
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• (a) Missed century by 1 run: C.K. (100 - 99 = 1 run).
• (b) Almost 1.5 centuries (150 runs): Rahane with 152 runs.
• (c) Combined score: 152 + 102 = 254 runs.
• (a) Missed century by 1 run: C.K. (100 - 99 = 1 run).
• (b) Almost 1.5 centuries (150 runs): Rahane with 152 runs.
• (c) Combined score: 152 + 102 = 254 runs.
CBSE Step-by-Step Marking Scheme
C.K. missed by 1 run
1 M
Rahane (152 runs)
1 M
Sum = 254 runs
1 M
Q10
Number Names • Writing in Words
Write the number names for: (a) 109 (b) 148 (c) 195 (d) 200.
[2 Marks]
✅ Step-by-Step Solution & Working
Number Names:
• (a) 109 = One hundred nine
• (b) 148 = One hundred forty-eight
• (c) 195 = One hundred ninety-five
• (d) 200 = Two hundred.
• (a) 109 = One hundred nine
• (b) 148 = One hundred forty-eight
• (c) 195 = One hundred ninety-five
• (d) 200 = Two hundred.
CBSE Step-by-Step Marking Scheme
All 4 number names correct
2 M
Q11
Counting by Steps • Jumping Numbers
Jump 2 steps forward: 104, 106, 108, ___, ___, ___, 116.
Jump 10 steps backward: 200, 190, 180, ___, ___, ___.
[2 Marks]
Jump 10 steps backward: 200, 190, 180, ___, ___, ___.
✅ Step-by-Step Solution & Working
Sequences:
• Jump 2 steps forward: 104, 106, 108, 110, 112, 114, 116.
• Jump 10 steps backward: 200, 190, 180, 170, 160, 150.
• Jump 2 steps forward: 104, 106, 108, 110, 112, 114, 116.
• Jump 10 steps backward: 200, 190, 180, 170, 160, 150.
CBSE Step-by-Step Marking Scheme
110, 112, 114 correct
1 M
170, 160, 150 correct
1 M
Q12
Place Value Exploration • 3-Digit Breakdown
In the number 174, identify:
(a) The digit in hundreds place and its place value.
(b) The digit in tens place and its place value.
(c) The digit in ones place and its place value.
(d) Write 174 in expanded form.
[3 Marks]
(a) The digit in hundreds place and its place value.
(b) The digit in tens place and its place value.
(c) The digit in ones place and its place value.
(d) Write 174 in expanded form.
✅ Step-by-Step Solution & Working
Place Value Analysis of 174:
• (a) Hundreds digit = 1; Place value = 1 × 100 = 100.
• (b) Tens digit = 7; Place value = 7 × 10 = 70.
• (c) Ones digit = 4; Place value = 4 × 1 = 4.
• (d) Expanded form = 100 + 70 + 4.
• (a) Hundreds digit = 1; Place value = 1 × 100 = 100.
• (b) Tens digit = 7; Place value = 7 × 10 = 70.
• (c) Ones digit = 4; Place value = 4 × 1 = 4.
• (d) Expanded form = 100 + 70 + 4.
CBSE Step-by-Step Marking Scheme
Hundreds, tens, ones place values
2 M
Expanded form: 100 + 70 + 4
1 M
Q13
Who Am I? • Number Riddles
Solve the riddles:
(a) I come between 140 and 150 and I have a 5 in my ones place. Who am I?
(b) I have 9 in my tens place and I am very close to 100. Who am I?
(c) If you hit a 6 after me, you score a century. Who am I?
[3 Marks]
(a) I come between 140 and 150 and I have a 5 in my ones place. Who am I?
(b) I have 9 in my tens place and I am very close to 100. Who am I?
(c) If you hit a 6 after me, you score a century. Who am I?
✅ Step-by-Step Solution & Working
Riddle Solutions:
• (a) Between 140 and 150 with 5 in ones place = 145.
• (b) 9 in tens place, close to 100 = 99 (or 90-99 range).
• (c) Score + 6 = 100 → 100 - 6 = 94.
• (a) Between 140 and 150 with 5 in ones place = 145.
• (b) 9 in tens place, close to 100 = 99 (or 90-99 range).
• (c) Score + 6 = 100 → 100 - 6 = 94.
CBSE Step-by-Step Marking Scheme
145
1 M
99
1 M
94
1 M
Q14
Comparing 3-Digit Numbers • Greater and Smaller
Insert '>' or '<' between the pairs: (a) 139 ___ 193 (b) 175 ___ 157 (c) 200 ___ 199 (d) 108 ___ 180.
[2 Marks]
✅ Step-by-Step Solution & Working
Comparisons:
• (a) 139 < 193
• (b) 175 > 157
• (c) 200 > 199
• (d) 108 < 180.
• (a) 139 < 193
• (b) 175 > 157
• (c) 200 > 199
• (d) 108 < 180.
CBSE Step-by-Step Marking Scheme
All 4 inequalities correct
2 M
Q15
Word Problem • Cricket Partnership
Rohit and Shikhar make a partnership of 185 runs. Rohit scored 95 runs. How many runs did Shikhar score?
[2 Marks]
✅ Step-by-Step Solution & Working
Subtraction:
• Total partnership = 185 runs.
• Rohit's runs = 95 runs.
• Shikhar's runs = 185 - 95 = 90 runs.
• Total partnership = 185 runs.
• Rohit's runs = 95 runs.
• Shikhar's runs = 185 - 95 = 90 runs.
CBSE Step-by-Step Marking Scheme
185 - 95 = 90 runs with working
2 M
Q16
Patterns of Fifty • Skip Counting by 50
Count in fifties from 50 to 300: 50, 100, ___, ___, ___, 300.
[1.5 Marks]
✅ Step-by-Step Solution & Working
Counting in 50s:
50, 100, 150, 200, 250, 300.
Missing numbers are 150, 200, 250.
50, 100, 150, 200, 250, 300.
Missing numbers are 150, 200, 250.
CBSE Step-by-Step Marking Scheme
150, 200, 250
1.5 M
Q17
Abacus Representation • Beads Count
An abacus shows: 1 bead on Hundreds spike, 6 beads on Tens spike, and 3 beads on Ones spike. What 3-digit number does it represent? Write its number name.
[2 Marks]
✅ Step-by-Step Solution & Working
Number on Abacus:
• Hundreds = 1, Tens = 6, Ones = 3.
• Number = 163.
• Number name = One hundred sixty-three.
• Hundreds = 1, Tens = 6, Ones = 3.
• Number = 163.
• Number name = One hundred sixty-three.
CBSE Step-by-Step Marking Scheme
Number = 163
1 M
Number name correct
1 M
Q18
Ordering Numbers • Match Scores
Arrange the cricket scores in descending order (highest to lowest): 128, 182, 119, 191, 150.
[2 Marks]
✅ Step-by-Step Solution & Working
Descending Order:
191 > 182 > 150 > 128 > 119.
191 > 182 > 150 > 128 > 119.
CBSE Step-by-Step Marking Scheme
Correct descending order
2 M
🌟 NEP 2020 Competency-Based Case Study
Inter-School Cricket Championship
Four batsmen in a school match scored: Aman (128), Kabir (164), Jaspreet (98), and Tenzing (185).
Analytical Task: Who scored the highest? How many more runs did Kabir need to reach a double century?
Evaluation & Model Answer:
1. Comparing scores: 185 > 164 > 128 > 98.
• Highest scorer: Tenzing with 185 runs.
2. A double century = 200 runs.
• Runs needed by Kabir = 200 - 164 = 36 runs.
• Highest scorer: Tenzing with 185 runs.
2. A double century = 200 runs.
• Runs needed by Kabir = 200 - 164 = 36 runs.
Rubric: 1.5M comparison and identification + 1.5M subtraction from 200.