Chapter 12 of 15
Chapter 12: Give and Take
Necklace of 10 Beads, Regrouping, Carrying & Borrowing | CBSE Session 2026–27
Core Pedagogical Competencies & Concepts
- Regrouping ones into tens when adding: 10 loose beads make 1 new necklace.
- Regrouping tens into ones when subtracting: untying 1 necklace to get 10 loose beads.
- Solving 2-digit addition with carry-over (e.g. 17 + 24 = 41).
- Solving 2-digit subtraction with borrowing (e.g. 35 - 17 = 18).
- Real-world canteen bills and money transactions.
All Textbook Exercises & In-Text Tasks (19 Questions)
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Q1
Textbook Exercise • Bead Necklace Addition
Razia has 12 beads (1 necklace and 2 loose). Sonu has 35 beads (3 necklaces and 5 loose). How many beads do they have altogether?
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Calculation:
• Tens (necklaces): 1 + 3 = 4 necklaces (40 beads)
• Ones (loose beads): 2 + 5 = 7 beads
• Total beads = 40 + 7 = 47 beads (4 necklaces and 7 loose beads).
• Tens (necklaces): 1 + 3 = 4 necklaces (40 beads)
• Ones (loose beads): 2 + 5 = 7 beads
• Total beads = 40 + 7 = 47 beads (4 necklaces and 7 loose beads).
CBSE Step-by-Step Marking Scheme
Tens and ones addition shown
1 M
Total 47 beads correct
1 M
Q2
Textbook Exercise • Regrouping Loose Beads
Aarif has 24 beads and Razia has 12 beads. How many beads do they have together?
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Calculation:
• Add ones: 4 + 2 = 6 loose beads
• Add tens: 2 + 1 = 3 necklaces
• Total = 36 beads.
• Add ones: 4 + 2 = 6 loose beads
• Add tens: 2 + 1 = 3 necklaces
• Total = 36 beads.
CBSE Step-by-Step Marking Scheme
24 + 12 step shown
1 M
36 beads correct
1 M
Q3
Textbook Exercise • Addition with Carrying Over
Reema has 17 beads and Aarif has 24 beads.
(a) How many loose beads are there in all?
(b) Can they make a new necklace from the loose beads?
(c) What is their total bead count?
[3 Marks]
(a) How many loose beads are there in all?
(b) Can they make a new necklace from the loose beads?
(c) What is their total bead count?
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
(a) Loose beads: 7 + 4 = 11 loose beads.
(b) Yes, 10 of these 11 loose beads make 1 new necklace, leaving 1 loose bead.
(c) Necklaces: 1 (Reema) + 2 (Aarif) + 1 (new) = 4 necklaces.
Total beads = 40 + 1 = 41 beads.
(a) Loose beads: 7 + 4 = 11 loose beads.
(b) Yes, 10 of these 11 loose beads make 1 new necklace, leaving 1 loose bead.
(c) Necklaces: 1 (Reema) + 2 (Aarif) + 1 (new) = 4 necklaces.
Total beads = 40 + 1 = 41 beads.
CBSE Step-by-Step Marking Scheme
Loose beads: 11
1 M
Regrouping 10 beads into 1 necklace
1 M
Total 41 beads
1 M
Q4
Textbook Exercise • How Many More Beads?
Aarif has 24 beads and Razia has 12 beads. How many more beads does Aarif have than Razia?
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• Aarif's beads = 24
• Razia's beads = 12
• Difference = 24 - 12 = 12 more beads.
• Aarif's beads = 24
• Razia's beads = 12
• Difference = 24 - 12 = 12 more beads.
CBSE Step-by-Step Marking Scheme
Subtraction 24 - 12 shown
1 M
12 beads correct
1 M
Q5
Textbook Exercise • Subtraction with Borrowing
Simar has 31 beads (3 necklaces and 1 loose bead). She gives 17 beads to Reema. How many beads are left with Simar?
[3 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
1. Simar has 1 loose bead and needs to give 7 loose beads. She cannot give 7 from 1.
2. She unties 1 necklace (10 beads). Now she has 2 necklaces and (10 + 1) = 11 loose beads.
3. Subtract loose beads: 11 - 7 = 4 loose beads.
4. Subtract necklaces: 2 - 1 = 1 necklace.
5. Beads remaining = 10 + 4 = 14 beads.
1. Simar has 1 loose bead and needs to give 7 loose beads. She cannot give 7 from 1.
2. She unties 1 necklace (10 beads). Now she has 2 necklaces and (10 + 1) = 11 loose beads.
3. Subtract loose beads: 11 - 7 = 4 loose beads.
4. Subtract necklaces: 2 - 1 = 1 necklace.
5. Beads remaining = 10 + 4 = 14 beads.
CBSE Step-by-Step Marking Scheme
Untying 1 necklace into 10 beads explained
1 M
Loose subtraction 11 - 7 = 4
1 M
Final answer 14 beads correct
1 M
Q6
NCERT Story • Canteen Bill Problem
At the school snack bar, Dosa costs ₹23 and Uttpam costs ₹28. If Aman orders both, what is his total bill?
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Calculation:
• Cost of Dosa = ₹23
• Cost of Uttpam = ₹28
• Total = 23 + 28 = 23 + 20 + 8 = 43 + 8 = ₹51.
• Cost of Dosa = ₹23
• Cost of Uttpam = ₹28
• Total = 23 + 28 = 23 + 20 + 8 = 43 + 8 = ₹51.
CBSE Step-by-Step Marking Scheme
23 + 28 column addition shown
1 M
Total bill ₹51 correct
1 M
Q7
Canteen Bill • Change Calculation
Aman's canteen bill is ₹51. He hands a ₹100 note to the cashier. How much change will he get back?
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• Money given = ₹100
• Bill amount = ₹51
• Change back = 100 - 51 = ₹49.
• Money given = ₹100
• Bill amount = ₹51
• Change back = 100 - 51 = ₹49.
CBSE Step-by-Step Marking Scheme
Subtraction 100 - 51 shown
1 M
Change ₹49 correct
1 M
Q8
Practice Problem • Column Addition
Solve by column addition with carry-over:
4 7
+ 2 6
-----
[2 Marks]
4 7
+ 2 6
-----
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• Ones column: 7 + 6 = 13 (Write 3 in ones place, carry 1 ten to tens column).
• Tens column: 4 + 2 + 1 (carried) = 7 tens.
• Answer = 73.
• Ones column: 7 + 6 = 13 (Write 3 in ones place, carry 1 ten to tens column).
• Tens column: 4 + 2 + 1 (carried) = 7 tens.
• Answer = 73.
CBSE Step-by-Step Marking Scheme
Carrying 1 ten shown
1 M
Sum 73 correct
1 M
Q9
Practice Problem • Column Subtraction
Solve by column subtraction with borrowing:
6 2
- 2 8
-----
[2 Marks]
6 2
- 2 8
-----
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• Ones column: 2 is smaller than 8. Borrow 1 ten from 6 tens (leaving 5 tens).
• 2 becomes 12. 12 - 8 = 4.
• Tens column: 5 - 2 = 3.
• Answer = 34.
• Ones column: 2 is smaller than 8. Borrow 1 ten from 6 tens (leaving 5 tens).
• 2 becomes 12. 12 - 8 = 4.
• Tens column: 5 - 2 = 3.
• Answer = 34.
CBSE Step-by-Step Marking Scheme
Borrowing step shown (12 - 8)
1 M
Answer 34 correct
1 M
Q10
Word Problem • Mango Tree
A gardener picked 38 ripe mangoes in the morning and 27 ripe mangoes in the afternoon. How many ripe mangoes did he pick in all?
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• Morning mangoes = 38
• Afternoon mangoes = 27
• Total mangoes = 38 + 27 = 38 + 2 + 25 = 40 + 25 = 65 mangoes.
• Morning mangoes = 38
• Afternoon mangoes = 27
• Total mangoes = 38 + 27 = 38 + 2 + 25 = 40 + 25 = 65 mangoes.
CBSE Step-by-Step Marking Scheme
Addition 38 + 27 shown
1 M
Total 65 mangoes correct
1 M
Q11
Word Problem • Cricket Bats
A sports shop had 54 cricket balls. On Sunday, 29 cricket balls were sold. How many cricket balls were left in the shop?
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• Initial cricket balls = 54
• Balls sold = 29
• Remaining balls = 54 - 29 = 54 - 30 + 1 = 24 + 1 = 25 cricket balls.
• Initial cricket balls = 54
• Balls sold = 29
• Remaining balls = 54 - 29 = 54 - 30 + 1 = 24 + 1 = 25 cricket balls.
CBSE Step-by-Step Marking Scheme
Subtraction 54 - 29 shown
1 M
25 balls left correct
1 M
Q12
Bead Necklace Thinking
How many necklaces of 10 beads can you make from 60 beads? Will any beads be left loose?
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• 60 ÷ 10 = 6 complete necklaces.
• There are 0 loose beads left.
• 60 ÷ 10 = 6 complete necklaces.
• There are 0 loose beads left.
CBSE Step-by-Step Marking Scheme
6 necklaces identified
1 M
0 loose beads confirmed
1 M
Q13
Mental Check • Addition Check with Subtraction
If 34 + 25 = 59, how can you check this using subtraction?
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Explanation:
• Subtract one addend from the total sum:
• 59 - 25 = 34 (or 59 - 34 = 25).
• Since the difference equals the other number, the addition is confirmed correct.
• Subtract one addend from the total sum:
• 59 - 25 = 34 (or 59 - 34 = 25).
• Since the difference equals the other number, the addition is confirmed correct.
CBSE Step-by-Step Marking Scheme
Inverse operation 59 - 25 = 34 shown
1 M
Verification rationale explained
1 M
Q14
Regrouping Rule in Words
What do we do when the sum of digits in the ones place is 10 or more?
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Explanation:
• When the ones place sum is 10 or more, we regroup 10 ones into 1 ten.
• We write the remaining ones in the ones place and carry over the 1 ten to the tens place.
• When the ones place sum is 10 or more, we regroup 10 ones into 1 ten.
• We write the remaining ones in the ones place and carry over the 1 ten to the tens place.
CBSE Step-by-Step Marking Scheme
Regroup 10 ones into 1 ten explained
1 M
Carry over to tens place described
1 M
Q15
Word Problem • Bus Passengers
A bus starts with 36 passengers. At the next stop, 15 passengers get off and 8 new passengers get on. How many passengers are in the bus now?
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
1. After 15 get off: 36 - 15 = 21 passengers.
2. After 8 get on: 21 + 8 = 29 passengers.
1. After 15 get off: 36 - 15 = 21 passengers.
2. After 8 get on: 21 + 8 = 29 passengers.
CBSE Step-by-Step Marking Scheme
Subtraction 36 - 15 = 21 shown
1 M
Addition 21 + 8 = 29 correct
1 M
Q16
True or False
State True or False:
(a) 50 - 25 = 25.
(b) In subtraction, we can borrow 1 ten, which is equal to 10 ones.
[2 Marks]
(a) 50 - 25 = 25.
(b) In subtraction, we can borrow 1 ten, which is equal to 10 ones.
✅ Step-by-Step Solution & Working
Answers:
(a) True. 25 + 25 = 50, so 50 - 25 = 25.
(b) True. 1 ten always equals 10 ones.
(a) True. 25 + 25 = 50, so 50 - 25 = 25.
(b) True. 1 ten always equals 10 ones.
CBSE Step-by-Step Marking Scheme
(a) True
1 M
(b) True with place value explanation
1 M
Q17
Chapter Reflection
Why is the chapter called 'Give and Take'?
[2 Marks]
✅ Step-by-Step Solution & Working
Summary:
• 'Give' represents giving away items or subtracting.
• 'Take' represents receiving items or adding.
• Together, addition and subtraction model all give-and-take exchanges in daily life, shopping, and games.
• 'Give' represents giving away items or subtracting.
• 'Take' represents receiving items or adding.
• Together, addition and subtraction model all give-and-take exchanges in daily life, shopping, and games.
CBSE Step-by-Step Marking Scheme
Give = subtraction connection
1 M
Take = addition connection
1 M
Q18
Quick Quiz Problem
What is 40 - 15?
[1 Marks]
✅ Step-by-Step Solution & Working
Calculation:
• 40 - 10 = 30
• 30 - 5 = 25.
• 40 - 10 = 30
• 30 - 5 = 25.
CBSE Step-by-Step Marking Scheme
25 correct
1 M
Q19
Textbook Activity • Beads and Necklaces
Razia has 12 beads (1 necklace of 10 and 2 loose beads). Reema has 17 beads (1 necklace of 10 and 7 loose beads). How many necklaces and loose beads do they have together?
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• Loose beads together = 2 + 7 = 9 loose beads.
• Necklaces together = 1 + 1 = 2 necklaces (20 beads).
• Total beads = 29 beads (2 necklaces of ten and 9 loose beads).
• Loose beads together = 2 + 7 = 9 loose beads.
• Necklaces together = 1 + 1 = 2 necklaces (20 beads).
• Total beads = 29 beads (2 necklaces of ten and 9 loose beads).
CBSE Step-by-Step Marking Scheme
Loose beads: 9
1 M
Total 29 beads / 2 necklaces
1 M
🌟 NEP 2020 Competency-Based Case Study
Simar and Reema's Bead Necklace Project
Children in the village craft bead necklaces. 1 necklace takes exactly 10 beads. Razia has 12 beads (1 necklace and 2 loose beads). Reema has 17 beads (1 necklace and 7 loose beads). Aarif has 24 beads (2 necklaces and 4 loose beads).
Analytical Task: How many total beads do Razia and Reema have together? When they put their loose beads together, do they get enough to make a new necklace?
Evaluation & Model Answer:
1. Razia: 12 beads. Reema: 17 beads.
2. Combined beads: 12 + 17 = 29 beads.
3. Loose beads check: 2 loose + 7 loose = 9 loose beads. Since 9 < 10, they need 1 more bead to make a new necklace (so they have 2 necklaces and 9 loose beads).
2. Combined beads: 12 + 17 = 29 beads.
3. Loose beads check: 2 loose + 7 loose = 9 loose beads. Since 9 < 10, they need 1 more bead to make a new necklace (so they have 2 necklaces and 9 loose beads).
Rubric: 1 M for total beads (29) + 1 M for loose beads analysis (9) + 1 M for new necklace condition explanation