Chapter 4 of 14
Chapter 4: Vacation with My Nani Maa
Calendar Reading, Dates, Weeks, Days & Travel Time Calculation | CBSE Session 2026–27
Core Pedagogical Competencies & Concepts
- Reading calendar pages: identifying days, weeks, months, and dates.
- Calculating duration between two dates: start date to end date.
- Understanding leap years and standard 30/31-day month patterns.
- Estimating time taken for everyday journeys and household routines.
All Textbook Exercises & In-Text Tasks (18 Questions)
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Q1
Calendar Reading • Vacation Calculation
Aarav went to his Nani Maa's village on 15 May and returned home on 30 May. How many days did he spend at his grandmother's house? How many weeks and days is that?
[2 Marks]
✅ Step-by-Step Solution & Working
Solution:
• Departure date = 15 May
• Return date = 30 May
• Days spent = 30 - 15 = 15 days.
• Since 1 week = 7 days:
15 ÷ 7 = 2 weeks with 1 day remaining (2 × 7 + 1 = 15 days).
• Departure date = 15 May
• Return date = 30 May
• Days spent = 30 - 15 = 15 days.
• Since 1 week = 7 days:
15 ÷ 7 = 2 weeks with 1 day remaining (2 × 7 + 1 = 15 days).
CBSE Step-by-Step Marking Scheme
Correct subtraction of dates (15 days)
1.0 M
Conversion to weeks and remaining days (2 weeks 1 day)
1.0 M
Q2
Textbook Exercise • Date Formats
Look at the manufacturing date stamped on a jar of mango pickle: '05/26'. It is best before 6 months from the date of packing. (a) What month and year was it packed? (b) Till which month is it safe to eat?
[3 Marks]
✅ Step-by-Step Solution & Working
Analysis:
(a) Packed Date: '05/26' indicates the 5th month (May) of the year 2026.
(b) Expiry Calculation:
6 months from May 2026:
• 1 month: June
• 2 months: July
• 3 months: August
• 4 months: September
• 5 months: October
• 6 months: November 2026.
Therefore, it is safe to eat till November 2026.
(a) Packed Date: '05/26' indicates the 5th month (May) of the year 2026.
(b) Expiry Calculation:
6 months from May 2026:
• 1 month: June
• 2 months: July
• 3 months: August
• 4 months: September
• 5 months: October
• 6 months: November 2026.
Therefore, it is safe to eat till November 2026.
CBSE Step-by-Step Marking Scheme
Correct interpretation of 05/26 (May 2026)
1.5 M
Correct month addition (+6 months = November 2026)
1.5 M
Q3
Days in Months • Finger Knuckle Method
How many days are there in the months of: (a) July, (b) August, (c) September, (d) February in a non-leap year? Explain how knuckles help remember 30- and 31-day months.
[3 Marks]
✅ Step-by-Step Solution & Working
Days in Months:
• (a) July = 31 days
• (b) August = 31 days
• (c) September = 30 days
• (d) February (ordinary year) = 28 days.
Knuckle Method: Months landing on knuckle bumps have 31 days (Jan, Mar, May, Jul, Aug, Oct, Dec). Months landing in the valleys between knuckles have 30 days (Apr, Jun, Sep, Nov), except February which has 28 or 29 days.
• (a) July = 31 days
• (b) August = 31 days
• (c) September = 30 days
• (d) February (ordinary year) = 28 days.
Knuckle Method: Months landing on knuckle bumps have 31 days (Jan, Mar, May, Jul, Aug, Oct, Dec). Months landing in the valleys between knuckles have 30 days (Apr, Jun, Sep, Nov), except February which has 28 or 29 days.
CBSE Step-by-Step Marking Scheme
Correct days for all 4 months
2.0 M
Accurate explanation of knuckle rule
1.0 M
Q4
Bus Journey Fare • Matrix Problem
An adult bus ticket to Nani's village costs ₹55 and a child ticket costs ₹30. Rohan travels with his father, mother, and 6-year-old sister.
(a) How many adult tickets and child tickets are needed?
(b) Calculate the total bus fare for the family.
(c) If Rohan's father gives two ₹100 notes, how much change should he receive?
[3 Marks]
(a) How many adult tickets and child tickets are needed?
(b) Calculate the total bus fare for the family.
(c) If Rohan's father gives two ₹100 notes, how much change should he receive?
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
(a) Passengers:
• Adults: Father, Mother = 2 adults.
• Children: Rohan, Sister = 2 children.
(b) Total Fare:
• 2 adult tickets = 2 × ₹55 = ₹110.
• 2 child tickets = 2 × ₹30 = ₹60.
• Total fare = ₹110 + ₹60 = ₹170.
(c) Change Received:
• Amount given = 2 × ₹100 = ₹200.
• Fare paid = ₹170.
• Change = ₹200 - ₹170 = ₹30.
(a) Passengers:
• Adults: Father, Mother = 2 adults.
• Children: Rohan, Sister = 2 children.
(b) Total Fare:
• 2 adult tickets = 2 × ₹55 = ₹110.
• 2 child tickets = 2 × ₹30 = ₹60.
• Total fare = ₹110 + ₹60 = ₹170.
(c) Change Received:
• Amount given = 2 × ₹100 = ₹200.
• Fare paid = ₹170.
• Change = ₹200 - ₹170 = ₹30.
CBSE Step-by-Step Marking Scheme
Correct breakdown of 2 adults and 2 children
1.0 M
Correct total fare calculation (₹110 + ₹60 = ₹170)
1.0 M
Correct change calculation (₹200 - ₹170 = ₹30)
1.0 M
Q5
Travel Distances • Multi-Step Addition
To reach Nani's village, Rohan's family took three modes of transport:
• Auto-rickshaw to station: 14 km
• Train journey: 165 km
• Horse cart (tonga) from village station to Nani's house: 8 km
(a) What was the total distance traveled?
(b) How much longer was the train journey than the auto-rickshaw ride?
[3 Marks]
• Auto-rickshaw to station: 14 km
• Train journey: 165 km
• Horse cart (tonga) from village station to Nani's house: 8 km
(a) What was the total distance traveled?
(b) How much longer was the train journey than the auto-rickshaw ride?
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
(a) Total Distance:
• Auto = 14 km
• Train = 165 km
• Tonga = 8 km
• Total = 14 + 165 + 8 = 187 km.
(b) Comparison:
• Train = 165 km
• Auto = 14 km
• Difference = 165 - 14 = 151 km longer.
(a) Total Distance:
• Auto = 14 km
• Train = 165 km
• Tonga = 8 km
• Total = 14 + 165 + 8 = 187 km.
(b) Comparison:
• Train = 165 km
• Auto = 14 km
• Difference = 165 - 14 = 151 km longer.
CBSE Step-by-Step Marking Scheme
Correct total distance sum (187 km)
1.5 M
Correct subtraction and comparison (151 km)
1.5 M
Q6
Farm Animals • Leg Counting Puzzle
In Nani's farmyard, Rohan counted 6 cows, 8 goats, and 14 chickens.
(a) How many 4-legged animals are in the farmyard?
(b) Calculate the total number of animal legs in the farmyard.
[3 Marks]
(a) How many 4-legged animals are in the farmyard?
(b) Calculate the total number of animal legs in the farmyard.
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
(a) 4-Legged Animals:
• Cows = 6
• Goats = 8
• Total 4-legged animals = 6 + 8 = 14 animals.
(b) Total Legs Calculation:
• Legs of 14 four-legged animals = 14 × 4 = 56 legs.
• Legs of 14 two-legged chickens = 14 × 2 = 28 legs.
• Total legs = 56 + 28 = 84 legs.
(a) 4-Legged Animals:
• Cows = 6
• Goats = 8
• Total 4-legged animals = 6 + 8 = 14 animals.
(b) Total Legs Calculation:
• Legs of 14 four-legged animals = 14 × 4 = 56 legs.
• Legs of 14 two-legged chickens = 14 × 2 = 28 legs.
• Total legs = 56 + 28 = 84 legs.
CBSE Step-by-Step Marking Scheme
Correct count of 4-legged animals (14)
1.0 M
Correct legs multiplication (56 and 28)
1.0 M
Correct total leg count (84 legs)
1.0 M
Q7
Village Haat Shopping • Itemized Bill
At the village haat, Nani bought:
• 3 kg of fresh gur (jaggery) at ₹40 per kg
• 2 earthen pots (matkas) at ₹35 each
• 4 bamboo fans at ₹15 each
Prepare an itemized cash memo and calculate the total amount spent.
[3 Marks]
• 3 kg of fresh gur (jaggery) at ₹40 per kg
• 2 earthen pots (matkas) at ₹35 each
• 4 bamboo fans at ₹15 each
Prepare an itemized cash memo and calculate the total amount spent.
✅ Step-by-Step Solution & Working
Itemized Cash Memo:
| Item | Quantity | Rate | Amount |
|---|---|---|---|
| Gur (Jaggery) | 3 kg | ₹40/kg | ₹120 |
| Earthen Matkas | 2 pots | ₹35 each | ₹70 |
| Bamboo Fans | 4 fans | ₹15 each | ₹60 |
| Total Spent: | ₹250 | ||
CBSE Step-by-Step Marking Scheme
Correct sub-calculations (₹120, ₹70, ₹60)
1.5 M
Correct final sum (₹250)
1.5 M
Q8
Textbook Exercise • Practical Problem Solving
In Chapter 4 ('Vacation with My Nani Maa'), a student solves an exercise problem: If 1 packet contains 12 items, how many items are in 4 such packets? Explain using repeated addition and multiplication.
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
1. Repeated addition: 12 + 12 + 12 + 12 = 48 items.
2. Multiplication fact: 4 × 12 = 48 items.
3. Both methods yield the exact same answer. Multiplication is efficient repeated addition.
1. Repeated addition: 12 + 12 + 12 + 12 = 48 items.
2. Multiplication fact: 4 × 12 = 48 items.
3. Both methods yield the exact same answer. Multiplication is efficient repeated addition.
CBSE Step-by-Step Marking Scheme
Repeated addition 12+12+12+12 = 48
1 M
Multiplication 4 × 12 = 48
1 M
Q9
In-Text Activity • Concept Exploration
In 'Vacation with My Nani Maa', how do you verify your mathematical calculations? Give an example using two numbers that add up to 100.
[2 Marks]
✅ Step-by-Step Solution & Working
Verification Method:
• Take two numbers: 65 and 35. Sum = 65 + 35 = 100.
• Verification by inverse operation (subtraction): 100 - 35 = 65, and 100 - 65 = 35.
• Since subtraction brings back the original numbers, the addition is confirmed correct.
• Take two numbers: 65 and 35. Sum = 65 + 35 = 100.
• Verification by inverse operation (subtraction): 100 - 35 = 65, and 100 - 65 = 35.
• Since subtraction brings back the original numbers, the addition is confirmed correct.
CBSE Step-by-Step Marking Scheme
Addition 65 + 35 = 100
1 M
Inverse check 100 - 35 = 65
1 M
Q10
Practice Time • Mental Math Drills
Solve mentally:
(a) 25 + 75 = ?
(b) 150 - 60 = ?
(c) Double of 45 = ?
(d) Half of 80 = ?
[2 Marks]
(a) 25 + 75 = ?
(b) 150 - 60 = ?
(c) Double of 45 = ?
(d) Half of 80 = ?
✅ Step-by-Step Solution & Working
Mental Calculations:
• (a) 25 + 75 = 100.
• (b) 150 - 60 = 90.
• (c) 45 × 2 = 90.
• (d) 80 ÷ 2 = 40.
• (a) 25 + 75 = 100.
• (b) 150 - 60 = 90.
• (c) 45 × 2 = 90.
• (d) 80 ÷ 2 = 40.
CBSE Step-by-Step Marking Scheme
All 4 mental math facts correct
2 M
Q11
Word Problem • Real Life Application
A school library received 3 boxes of mathematics activity books. Each box contained 25 books. During the week, 38 books were distributed to Grade 3 children. How many books remain in the library?
[3 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
1. Total books received = 3 × 25 = 75 books.
2. Books distributed = 38 books.
3. Books remaining = 75 - 38 = 37 books.
1. Total books received = 3 × 25 = 75 books.
2. Books distributed = 38 books.
3. Books remaining = 75 - 38 = 37 books.
CBSE Step-by-Step Marking Scheme
Total 3 × 25 = 75
1.5 M
Remainder 75 - 38 = 37
1.5 M
Q12
Critical Thinking • Finding the Pattern
Observe the sequence related to 'Vacation with My Nani Maa': 12, 24, 36, 48, ___, ___. Find the next two terms and state the mathematical rule.
[2 Marks]
✅ Step-by-Step Solution & Working
Pattern Analysis:
• 12 + 12 = 24
• 24 + 12 = 36
• 36 + 12 = 48
• Rule: Successive addition of 12 (Multiples of 12).
• Next terms: 48 + 12 = 60, 60 + 12 = 72.
• 12 + 12 = 24
• 24 + 12 = 36
• 36 + 12 = 48
• Rule: Successive addition of 12 (Multiples of 12).
• Next terms: 48 + 12 = 60, 60 + 12 = 72.
CBSE Step-by-Step Marking Scheme
Next terms 60, 72
1 M
Rule: multiples of 12 / +12 step
1 M
Q13
Estimation & Measurement • Practical Judgment
Estimate whether each measurement is greater than or less than 1 metre:
(a) Length of your classroom pencil.
(b) Height of your classroom teacher.
(c) Width of your mathematics textbook.
(d) Length of the school blackboard.
[2 Marks]
(a) Length of your classroom pencil.
(b) Height of your classroom teacher.
(c) Width of your mathematics textbook.
(d) Length of the school blackboard.
✅ Step-by-Step Solution & Working
Estimation:
• (a) Pencil: Less than 1 metre (approx. 15 cm).
• (b) Teacher height: Greater than 1 metre (approx. 1.6 to 1.7 m).
• (c) Textbook width: Less than 1 metre (approx. 20 cm).
• (d) Blackboard length: Greater than 1 metre (approx. 2 to 3 m).
• (a) Pencil: Less than 1 metre (approx. 15 cm).
• (b) Teacher height: Greater than 1 metre (approx. 1.6 to 1.7 m).
• (c) Textbook width: Less than 1 metre (approx. 20 cm).
• (d) Blackboard length: Greater than 1 metre (approx. 2 to 3 m).
CBSE Step-by-Step Marking Scheme
Correct estimation for all 4 items
2 M
Q14
Data Interpretation • Reading Simple Tables
A table shows student preferences for fruit: Apple (15), Banana (22), Mango (35), Orange (18).
(a) Which fruit is preferred by the maximum number of students?
(b) How many more students prefer Mango over Banana?
(c) What is the total number of students surveyed?
[3 Marks]
(a) Which fruit is preferred by the maximum number of students?
(b) How many more students prefer Mango over Banana?
(c) What is the total number of students surveyed?
✅ Step-by-Step Solution & Working
Table Interpretation:
• (a) Maximum preference: Mango with 35 students.
• (b) Difference: 35 - 22 = 13 more students prefer Mango.
• (c) Total students: 15 + 22 + 35 + 18 = 90 students.
• (a) Maximum preference: Mango with 35 students.
• (b) Difference: 35 - 22 = 13 more students prefer Mango.
• (c) Total students: 15 + 22 + 35 + 18 = 90 students.
CBSE Step-by-Step Marking Scheme
Mango identified
1 M
Difference = 13
1 M
Total = 90
1 M
Q15
Let us Do • Shapes and Symmetry
Draw a line of symmetry through each shape:
(a) A rectangle
(b) An equilateral triangle
(c) A circle.
How many lines of symmetry does a circle have?
[3 Marks]
(a) A rectangle
(b) An equilateral triangle
(c) A circle.
How many lines of symmetry does a circle have?
✅ Step-by-Step Solution & Working
Symmetry Properties:
• (a) A rectangle has 2 lines of symmetry (horizontal and vertical through centers of opposite sides).
• (b) An equilateral triangle has 3 lines of symmetry (from each vertex to opposite midpoint).
• (c) A circle has infinite lines of symmetry (any diameter passing through the center).
• (a) A rectangle has 2 lines of symmetry (horizontal and vertical through centers of opposite sides).
• (b) An equilateral triangle has 3 lines of symmetry (from each vertex to opposite midpoint).
• (c) A circle has infinite lines of symmetry (any diameter passing through the center).
CBSE Step-by-Step Marking Scheme
Rectangle = 2 lines
1 M
Triangle = 3 lines
1 M
Circle = infinite lines
1 M
Q16
Puzzle Time • Missing Number Grid
In a 3x3 magic square, the sum of each row, column, and diagonal is 15. The center number is 5. What numbers go in the opposite corners if one corner is 2?
[2 Marks]
✅ Step-by-Step Solution & Working
Magic Square Logic:
• In a 3x3 magic square with sum 15 and center 5, opposite corners must sum to 10 (since 2 + 5 + x = 15 → x = 8).
• If one corner is 2, the diagonally opposite corner must be 8.
• Other corner pairs: 4 and 6.
• In a 3x3 magic square with sum 15 and center 5, opposite corners must sum to 10 (since 2 + 5 + x = 15 → x = 8).
• If one corner is 2, the diagonally opposite corner must be 8.
• Other corner pairs: 4 and 6.
CBSE Step-by-Step Marking Scheme
Opposite corner = 8 with reasoning
2 M
Q17
Money & Shopping • Cash Memo Bill
Rani visits a stationery shop and buys: 2 Pencils at ₹5 each, 1 Eraser for ₹3, and 1 Notebook for ₹25. Prepare a simple cash memo showing total bill and change returned from a ₹50 note.
[3 Marks]
✅ Step-by-Step Solution & Working
Cash Memo Preparation:
• 2 Pencils @ ₹5 = ₹10
• 1 Eraser @ ₹3 = ₹3
• 1 Notebook @ ₹25 = ₹25
• Total Bill Amount = ₹10 + ₹3 + ₹25 = ₹38.
• Amount paid = ₹50.
• Change returned = ₹50 - ₹38 = ₹12.
• 2 Pencils @ ₹5 = ₹10
• 1 Eraser @ ₹3 = ₹3
• 1 Notebook @ ₹25 = ₹25
• Total Bill Amount = ₹10 + ₹3 + ₹25 = ₹38.
• Amount paid = ₹50.
• Change returned = ₹50 - ₹38 = ₹12.
CBSE Step-by-Step Marking Scheme
Correct item breakdown and total ₹38
2 M
Change = ₹12
1 M
Q18
Chapter Review • Comprehensive Concept Check
True or False:
(a) 1 kilometre is equal to 1000 metres.
(b) 500 millilitres is equal to half a litre.
(c) A square has 4 equal straight edges and 4 right-angled corners.
[3 Marks]
(a) 1 kilometre is equal to 1000 metres.
(b) 500 millilitres is equal to half a litre.
(c) A square has 4 equal straight edges and 4 right-angled corners.
✅ Step-by-Step Solution & Working
Review Answers:
• (a) True: 1 km = 1000 m.
• (b) True: 1 Litre = 1000 mL, so half a litre = 500 mL.
• (c) True: A square has 4 equal sides and 4 right angles.
• (a) True: 1 km = 1000 m.
• (b) True: 1 Litre = 1000 mL, so half a litre = 500 mL.
• (c) True: A square has 4 equal sides and 4 right angles.
CBSE Step-by-Step Marking Scheme
All 3 statements correctly evaluated as True
3 M
🌟 NEP 2020 Competency-Based Case Study
Train Journey Schedule Analysis
The Shatabdi Express leaves New Delhi station at 06:00 AM and arrives in Amritsar at 12:30 PM on the same day.
Analytical Task: How long is the train journey in hours and minutes? If the train is delayed by 45 minutes, at what time will it reach?
Evaluation & Model Answer:
1. From 06:00 AM to 12:00 Noon = 6 hours.
2. From 12:00 Noon to 12:30 PM = 30 minutes.
• Scheduled journey time = 6 hours and 30 minutes.
3. With a 45-minute delay: 12:30 PM + 45 minutes = 12:30 + 30 min (1:00 PM) + 15 min = 01:15 PM.
2. From 12:00 Noon to 12:30 PM = 30 minutes.
• Scheduled journey time = 6 hours and 30 minutes.
3. With a 45-minute delay: 12:30 PM + 45 minutes = 12:30 + 30 min (1:00 PM) + 15 min = 01:15 PM.
Rubric: 1.5M journey duration calculation + 1.5M delayed arrival time.