Chapter 2 of 14
Chapter 2: Fun with Numbers
3-Digit Numbers, Cricket Centuries, Skip Counting, Comparing & Word Problems | CBSE Session 2026–27
Core Pedagogical Competencies & Concepts
- Reading and writing 3-digit numbers in figures and words up to 999.
- Cricket scorecards: half-century (50), century (100), and double century (200).
- Skip counting forward and backward by 2s, 5s, 10s, and 50s.
- Finding predecessor (one less) and successor (one more).
All Textbook Exercises & In-Text Tasks (17 Questions)
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Q1
Cricket Score Analysis • Centuries
Look at the World Cup scorecard: C.K. scored 99 runs, A.S. scored 162 runs, and P.K. scored 105 runs. (a) How many more runs did C.K. need to complete a century? (b) Who scored more than a century and by how many runs?
[3 Marks]
✅ Step-by-Step Solution & Working
Step-by-step Solution:
• 1 Century = 100 runs.
(a) C.K.'s Century Shortfall:
100 - 99 = 1 run needed.
(b) Scorers above a Century:
• P.K. scored 105: 105 - 100 = 5 runs more than a century.
• A.S. scored 162: 162 - 100 = 62 runs more than a century.
• 1 Century = 100 runs.
(a) C.K.'s Century Shortfall:
100 - 99 = 1 run needed.
(b) Scorers above a Century:
• P.K. scored 105: 105 - 100 = 5 runs more than a century.
• A.S. scored 162: 162 - 100 = 62 runs more than a century.
CBSE Step-by-Step Marking Scheme
Correct shortfall for C.K. (1 run)
1.0 M
Correct excess runs for P.K. (5 runs)
1.0 M
Correct excess runs for A.S. (62 runs)
1.0 M
Q2
Skip Counting Sequences • Patterns
Fill in the missing numbers for the patterns: (a) 550, 600, 650, ___, ___, ___. (b) 280, 260, 240, ___, ___, ___ (Counting backwards by 20).
[2 Marks]
✅ Step-by-Step Solution & Working
Solutions:
• (a) Forward by 50: 550, 600, 650, 700, 750, 800.
• (b) Backward by 20: 280, 260, 240, 220, 200, 180.
• (a) Forward by 50: 550, 600, 650, 700, 750, 800.
• (b) Backward by 20: 280, 260, 240, 220, 200, 180.
CBSE Step-by-Step Marking Scheme
Correct forward sequence (+50)
1.0 M
Correct backward sequence (-20)
1.0 M
Q3
Place Value Riddles • Problem Solving
Solve the riddles: (1) 'I am between 70 and 80 and have a 5 in my name.' (2) 'I have 9 in my name and am very close to 90.' (3) 'If you hit a 4 after me, you score a century.'
[3 Marks]
✅ Step-by-Step Solution & Working
Riddle Answers:
1. Between 70 and 80 with 5 → 75.
2. Very close to 90 with 9 → 89 (since 89 + 1 = 90).
3. Hit a 4 to score a century (100) → 100 - 4 = 96.
1. Between 70 and 80 with 5 → 75.
2. Very close to 90 with 9 → 89 (since 89 + 1 = 90).
3. Hit a 4 to score a century (100) → 100 - 4 = 96.
CBSE Step-by-Step Marking Scheme
Correct deduction for riddle 1 (75)
1.0 M
Correct deduction for riddle 2 (89)
1.0 M
Correct deduction for riddle 3 (96)
1.0 M
Q4
Tamarind Seeds Collection • Comparison
Radhika, Gauri, Vicky, Indra, and Sunil were collecting tamarind (imli) seeds:
• Radhika collected 24 seeds
• Gauri collected 47 seeds
• Sunil collected 38 seeds
• Indra collected 54 seeds
• Vicky collected 42 seeds
(a) Who collected the most seeds, and who collected the least seeds?
(b) How many more seeds does Sunil need to collect to have 40 seeds?
(c) If Radhika gets 6 more seeds, how many seeds will she have?
[3 Marks]
• Radhika collected 24 seeds
• Gauri collected 47 seeds
• Sunil collected 38 seeds
• Indra collected 54 seeds
• Vicky collected 42 seeds
(a) Who collected the most seeds, and who collected the least seeds?
(b) How many more seeds does Sunil need to collect to have 40 seeds?
(c) If Radhika gets 6 more seeds, how many seeds will she have?
✅ Step-by-Step Solution & Working
Step-by-Step Analysis:
(a) Most and Least:
• Most seeds: Indra (54 seeds).
• Least seeds: Radhika (24 seeds).
(b) Sunil's Target:
• Sunil has = 38 seeds.
• Seeds needed = 40 - 38 = 2 seeds.
(c) Radhika's New Total:
• 24 + 6 = 30 seeds.
(a) Most and Least:
• Most seeds: Indra (54 seeds).
• Least seeds: Radhika (24 seeds).
(b) Sunil's Target:
• Sunil has = 38 seeds.
• Seeds needed = 40 - 38 = 2 seeds.
(c) Radhika's New Total:
• 24 + 6 = 30 seeds.
CBSE Step-by-Step Marking Scheme
Correct most (54) and least (24) identified
1.0 M
Correct calculation for Sunil (40 - 38 = 2)
1.0 M
Correct addition for Radhika (24 + 6 = 30)
1.0 M
Q5
Centuries in Cricket • C.K. Nayudu & Players
Study the runs scored by top batsmen:
• C.K. Nayudu: 99 runs
• Kapil Dev: 122 runs
• Gavaskar: 100 runs
• Tendulkar: 162 runs
(a) Did C.K. Nayudu make a century? How many runs did he miss by?
(b) Who scored an exact century?
(c) How many runs did Tendulkar score beyond a century?
[3 Marks]
• C.K. Nayudu: 99 runs
• Kapil Dev: 122 runs
• Gavaskar: 100 runs
• Tendulkar: 162 runs
(a) Did C.K. Nayudu make a century? How many runs did he miss by?
(b) Who scored an exact century?
(c) How many runs did Tendulkar score beyond a century?
✅ Step-by-Step Solution & Working
Step-by-Step Cricket Analysis:
• 1 Century = 100 runs.
(a) C.K. Nayudu:
• No, he scored 99 runs.
• Missed century by = 100 - 99 = 1 run.
(b) Exact Century:
• Gavaskar scored exactly 100 runs.
(c) Tendulkar's Extra Runs:
• Tendulkar scored = 162 runs.
• Runs beyond century = 162 - 100 = 62 runs.
• 1 Century = 100 runs.
(a) C.K. Nayudu:
• No, he scored 99 runs.
• Missed century by = 100 - 99 = 1 run.
(b) Exact Century:
• Gavaskar scored exactly 100 runs.
(c) Tendulkar's Extra Runs:
• Tendulkar scored = 162 runs.
• Runs beyond century = 162 - 100 = 62 runs.
CBSE Step-by-Step Marking Scheme
Correct analysis for C.K. Nayudu (No, missed by 1)
1.0 M
Correct player identified for exact century (Gavaskar)
1.0 M
Correct excess runs calculation for Tendulkar (62 runs)
1.0 M
Q6
Jumping Animals • Number Track Game
On a number track from 90 to 150:
• Gabru the deer jumps on every 7th square starting from 90.
• Bunny the rabbit jumps on every 5th square starting from 99.
(a) Write Gabru's first 4 landing numbers after 90.
(b) Write Bunny's first 4 landing numbers after 99.
[3 Marks]
• Gabru the deer jumps on every 7th square starting from 90.
• Bunny the rabbit jumps on every 5th square starting from 99.
(a) Write Gabru's first 4 landing numbers after 90.
(b) Write Bunny's first 4 landing numbers after 99.
✅ Step-by-Step Solution & Working
Step-by-Step Sequences:
(a) Gabru (+7):
• 90 + 7 = 97
• 97 + 7 = 104
• 104 + 7 = 111
• 111 + 7 = 118.
(b) Bunny (+5):
• 99 + 5 = 104
• 104 + 5 = 109
• 109 + 5 = 114
• 114 + 5 = 119.
(Notice that both Gabru and Bunny land on square 104!)
(a) Gabru (+7):
• 90 + 7 = 97
• 97 + 7 = 104
• 104 + 7 = 111
• 111 + 7 = 118.
(b) Bunny (+5):
• 99 + 5 = 104
• 104 + 5 = 109
• 109 + 5 = 114
• 114 + 5 = 119.
(Notice that both Gabru and Bunny land on square 104!)
CBSE Step-by-Step Marking Scheme
Correct sequence for Gabru (97, 104, 111, 118)
1.5 M
Correct sequence for Bunny (104, 109, 114, 119)
1.5 M
Q7
Counting by 50s • Century Jumps
Fill in the blanks by counting in 50s:
200, 250, 300, ___, ___, 450, ___, 550.
How many 50s make 500 starting from 0?
[3 Marks]
200, 250, 300, ___, ___, 450, ___, 550.
How many 50s make 500 starting from 0?
✅ Step-by-Step Solution & Working
Solution:
• Completed Sequence: 200, 250, 300, 350, 400, 450, 500, 550.
• 50s in 500: 500 ÷ 50 = 10 fifty-rupee notes / steps make 500.
• Completed Sequence: 200, 250, 300, 350, 400, 450, 500, 550.
• 50s in 500: 500 ÷ 50 = 10 fifty-rupee notes / steps make 500.
CBSE Step-by-Step Marking Scheme
Correct blanks in sequence: 350, 400, 500
2.0 M
Correct division fact (10 fifties make 500)
1.0 M
Q8
Textbook Story • Radhika's Tamarind Seeds
Radhika, Gauri, Vicky, Indra, and Sunil were collecting Imli (tamarind) seeds:
• Radhika collected 24 seeds
• Gauri collected 47 seeds
• Sunil collected 38 seeds
• Indra collected 54 seeds
• Vicky collected 42 seeds.
(a) Who collected the most seeds?
(b) Sunil will collect ___ more seeds to equal Gauri.
(c) How many children collected more than 40 seeds?
[3 Marks]
• Radhika collected 24 seeds
• Gauri collected 47 seeds
• Sunil collected 38 seeds
• Indra collected 54 seeds
• Vicky collected 42 seeds.
(a) Who collected the most seeds?
(b) Sunil will collect ___ more seeds to equal Gauri.
(c) How many children collected more than 40 seeds?
✅ Step-by-Step Solution & Working
Step-by-Step Analysis:
• (a) Most seeds: Indra with 54 seeds.
• (b) Seeds Sunil needs to equal Gauri: 47 - 38 = 9 more seeds.
• (c) Children with >40 seeds: Gauri (47), Indra (54), and Vicky (42) = 3 children.
• (a) Most seeds: Indra with 54 seeds.
• (b) Seeds Sunil needs to equal Gauri: 47 - 38 = 9 more seeds.
• (c) Children with >40 seeds: Gauri (47), Indra (54), and Vicky (42) = 3 children.
CBSE Step-by-Step Marking Scheme
Indra (54)
1 M
9 seeds needed
1 M
3 children
1 M
Q9
Cricket Records • One-Day International Scores
Top batsman scores in a match: C.K. (99), Dhoni (102), Kumble (162), Rahane (152), Dhawan (178), Kapil (127).
(a) How many players scored more than a century (100 runs)?
(b) What is the difference between Dhawan's score and Dhoni's score?
(c) Who scored two runs less than a century and a half (148 runs)?
[3 Marks]
(a) How many players scored more than a century (100 runs)?
(b) What is the difference between Dhawan's score and Dhoni's score?
(c) Who scored two runs less than a century and a half (148 runs)?
✅ Step-by-Step Solution & Working
Calculations:
• (a) Players scoring >100: Dhoni (102), Kumble (162), Rahane (152), Dhawan (178), Kapil (127) = 5 players.
• (b) Difference: 178 - 102 = 76 runs.
• (c) Score = 148 runs: (None on list scored exactly 148; closest was Rahane at 152).
• (a) Players scoring >100: Dhoni (102), Kumble (162), Rahane (152), Dhawan (178), Kapil (127) = 5 players.
• (b) Difference: 178 - 102 = 76 runs.
• (c) Score = 148 runs: (None on list scored exactly 148; closest was Rahane at 152).
CBSE Step-by-Step Marking Scheme
5 players scored >100
1 M
Difference 178 - 102 = 76
1 M
148 analysis
1 M
Q10
Lazy Crazy Shop • Bundles and Packets
Lazy Crazy shop sells items only in packets of 100, packets of 10, and loose items. Find how a customer buying 243 items will receive them.
[2 Marks]
✅ Step-by-Step Solution & Working
Place Value Packaging:
• Number of items = 243.
• Hundreds place = 2 → 2 packets of 100 (200 items).
• Tens place = 4 → 4 packets of 10 (40 items).
• Ones place = 3 → 3 loose items.
Total = 200 + 40 + 3 = 243.
• Number of items = 243.
• Hundreds place = 2 → 2 packets of 100 (200 items).
• Tens place = 4 → 4 packets of 10 (40 items).
• Ones place = 3 → 3 loose items.
Total = 200 + 40 + 3 = 243.
CBSE Step-by-Step Marking Scheme
2 packets of 100, 4 of 10, 3 loose items
2 M
Q11
Lazy Crazy Money • Currency Note Bundles
At the Lazy Crazy shop, customers pay only in ₹100 notes, ₹10 notes, and ₹1 coins. How will an animal pay ₹420 and ₹143?
[3 Marks]
✅ Step-by-Step Solution & Working
Currency Breakdown:
• For ₹420:
• 4 notes of ₹100 = ₹400
• 2 notes of ₹10 = ₹20
• 0 coins of ₹1 = ₹0.
• For ₹143:
• 1 note of ₹100 = ₹100
• 4 notes of ₹10 = ₹40
• 3 coins of ₹1 = ₹3.
• For ₹420:
• 4 notes of ₹100 = ₹400
• 2 notes of ₹10 = ₹20
• 0 coins of ₹1 = ₹0.
• For ₹143:
• 1 note of ₹100 = ₹100
• 4 notes of ₹10 = ₹40
• 3 coins of ₹1 = ₹3.
CBSE Step-by-Step Marking Scheme
₹420 breakdown correct
1.5 M
₹143 breakdown correct
1.5 M
Q12
Who Am I? • Match the Number
Match the clues with the correct numbers:
(1) I have 9 in my name and am very close to 90 — (A) 100
(2) If you hit a 4 after me you score a century — (B) 89
(3) I am equal to ten notes of 10 — (C) 96.
[3 Marks]
(1) I have 9 in my name and am very close to 90 — (A) 100
(2) If you hit a 4 after me you score a century — (B) 89
(3) I am equal to ten notes of 10 — (C) 96.
✅ Step-by-Step Solution & Working
Matching:
• (1) Close to 90 with 9 in name = (B) 89.
• (2) 100 - 4 = (C) 96.
• (3) Ten notes of 10 = 10 × 10 = (A) 100.
• (1) Close to 90 with 9 in name = (B) 89.
• (2) 100 - 4 = (C) 96.
• (3) Ten notes of 10 = 10 × 10 = (A) 100.
CBSE Step-by-Step Marking Scheme
1-B, 2-C, 3-A correct
3 M
Q13
Jump Steps • Number Patterns
Write the next three numbers for each jump pattern:
(a) Jump 2 steps forward: 110, 112, 114, ___, ___, ___
(b) Jump 5 steps forward: 150, 155, 160, ___, ___, ___
(c) Jump 10 steps backward: 190, 180, 170, ___, ___, ___.
[3 Marks]
(a) Jump 2 steps forward: 110, 112, 114, ___, ___, ___
(b) Jump 5 steps forward: 150, 155, 160, ___, ___, ___
(c) Jump 10 steps backward: 190, 180, 170, ___, ___, ___.
✅ Step-by-Step Solution & Working
Patterns:
• (a) Adding 2: 116, 118, 120.
• (b) Adding 5: 165, 170, 175.
• (c) Subtracting 10: 160, 150, 140.
• (a) Adding 2: 116, 118, 120.
• (b) Adding 5: 165, 170, 175.
• (c) Subtracting 10: 160, 150, 140.
CBSE Step-by-Step Marking Scheme
(a) 116, 118, 120
1 M
(b) 165, 170, 175
1 M
(c) 160, 150, 140
1 M
Q14
Practice Time • Comparing Number Pairs
Circle the larger number in each pair: (a) 149 and 194 (b) 170 and 107 (c) 199 and 200.
[1.5 Marks]
✅ Step-by-Step Solution & Working
Larger Numbers:
• (a) 194 is larger than 149 (194 > 149).
• (b) 170 is larger than 107 (170 > 107).
• (c) 200 is larger than 199 (200 > 199).
• (a) 194 is larger than 149 (194 > 149).
• (b) 170 is larger than 107 (170 > 107).
• (c) 200 is larger than 199 (200 > 199).
CBSE Step-by-Step Marking Scheme
194, 170, 200 identified
1.5 M
Q15
Expanded Form • Three Digits
Write in expanded form: (a) 198 (b) 105 (c) 176.
[1.5 Marks]
✅ Step-by-Step Solution & Working
Expanded Forms:
• (a) 198 = 100 + 90 + 8.
• (b) 105 = 100 + 0 + 5.
• (c) 176 = 100 + 70 + 6.
• (a) 198 = 100 + 90 + 8.
• (b) 105 = 100 + 0 + 5.
• (c) 176 = 100 + 70 + 6.
CBSE Step-by-Step Marking Scheme
All 3 correct expanded forms
1.5 M
Q16
Word Problem • Shells Collection
Amina has 124 sea shells. Her brother gives her 36 more shells. How many shells does Amina have now?
[2 Marks]
✅ Step-by-Step Solution & Working
Addition:
124 + 36 = 124 + 6 + 30 = 130 + 30 = 160 shells.
124 + 36 = 124 + 6 + 30 = 130 + 30 = 160 shells.
CBSE Step-by-Step Marking Scheme
124 + 36 = 160 with working
2 M
Q17
Century Milestone • Runs Needed
A cricketer is batting on 78 runs. How many runs does he need to reach: (a) 100 runs (a century)? (b) 150 runs?
[2 Marks]
✅ Step-by-Step Solution & Working
Calculations:
• (a) For century: 100 - 78 = 22 runs.
• (b) For 150 runs: 150 - 78 = 72 runs.
• (a) For century: 100 - 78 = 22 runs.
• (b) For 150 runs: 150 - 78 = 72 runs.
CBSE Step-by-Step Marking Scheme
22 runs for century
1 M
72 runs for 150
1 M
🌟 NEP 2020 Competency-Based Case Study
Wildlife Sanctuary Deer Count
Forest rangers recorded deer sightings across four zones: North Zone (214), South Zone (189), East Zone (305), and West Zone (292).
Analytical Task: Which zone recorded the lowest deer count? How many total deer were sighted in the North and West Zones combined?
Evaluation & Model Answer:
1. Comparing sightings: 189 < 214 < 292 < 305.
• Lowest count: South Zone with 189 deer.
2. North Zone (214) + West Zone (292) = 214 + 292 = 506 deer.
• Lowest count: South Zone with 189 deer.
2. North Zone (214) + West Zone (292) = 214 + 292 = 506 deer.
Rubric: 1.5M comparison and lowest zone + 1.5M addition of 214 + 292.