Time Goes On

Given: July 2024 has 31 days. July 1, 2024 falls on a Monday.

Completed Calendar for July 2024:

| Mon | Tue | Wed | Thu | Fri | Sat | Sun |
|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| 8 | 9 | 10 | 11 | 12 | 13 | 14 |
| 15 | 16 | 17 | 18 | 19 | 20 | 21 |
| 22 | 23 | 24 | 25 | 26 | 27 | 28 |
| 29 | 30 | 31 | — | — | — | — |

July 2024 starts on Monday and has 31 days.

From the July 2024 calendar:

Sundays fall on: 7, 14, 21, 28.

$$\text{Number of Sundays} = 4$$

From the July 2024 calendar:

Thursdays fall on: 4, 11, 18, 25.

So the dates that are Thursdays are: 4, 11, 18, 25.

Given: July 22, 2024.

Counting three days forward:
$$22 + 3 = 25$$

Three days after July 22 is July 25.

From the calendar, July 25 falls on a Thursday.

Answer: July 25; the day is Thursday.

Given: School closes on July 7. It remains closed for 15 days.

Finding the reopening date:

The school is closed on days: July 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21 — that is 15 days.

The school will reopen on the next day after the 15th closed day:
$$7 + 15 = 22$$

The school will open on July 22.

By observing calendars of two different years:

(a) Names of the months: ☑ Same
The 12 months (January to December) are always the same every year.

(b) Days in a month: ☑ Same (mostly)
Most months have the same number of days each year. February may change (28 or 29 days in a leap year), but generally the days in most months remain the same.

(c) Days in a week: ☑ Same
There are always 7 days in a week — Monday to Sunday.

(d) Number of Sundays: ☑ Changes
Depending on which day the month starts, a month may have 4 or 5 Sundays, so this can change from year to year.

(e) Number of weeks in a year: ☑ Same (approximately)
A year has 52 weeks and 1 or 2 extra days. This remains approximately the same.

Note: This is an activity-based question. Students should collect two calendars (e.g., 2023 and 2024) and fill in the dates of each festival listed.

Example entries (for reference):

| Festival | 2023 | 2024 |
|---|---|---|
| Independence Day | 15/08/2023 | 15/08/2024 |
| Republic Day | 26/01/2023 | 26/01/2024 |
| Christmas | 25/12/2023 | 25/12/2024 |
| Deepawali | 12/11/2023 | 01/11/2024 |

Festivals that fall on the same date every year (circle these): Independence Day (15 August), Republic Day (26 January), Christmas (25 December).

Festivals based on the lunar calendar (like Eid, Diwali, Gurupurab) change their date each year.

The 12 months of the year in order are:

1. January
2. February
3. March
4. April
5. May
6. June
7. July
8. August
9. September
10. October
11. November
12. December

Concept: Most months have 30 or 31 days. Only one month has fewer than 30 days.

February has less than 30 days.
- In a regular year: February has 28 days.
- In a leap year: February has 29 days.

Answer: Only February has less than 30 days.

Concept: A regular (non-leap) year has 365 days. A leap year has 366 days.

$$\text{Number of days in a year} = \mathbf{365} \text{ days (366 in a leap year)}$$

Given: Hetal claims there are 53 weeks in a year.

Calculation:
$$365 \div 7 = 52 \text{ weeks and } 1 \text{ day remaining}$$

So a year has 52 complete weeks and 1 extra day (2 extra days in a leap year).

Hetal is NOT right.

A year has 52 weeks (and 1 extra day).

Answer: No. There are 52 weeks in a year.

Given:
- Hetal's age = twice her brother's age
- Hetal's age = brother's age + 10

**Let brother's age = $x$ years**

From the first condition: Hetal's age $= 2x$

From the second condition:
$$2x = x + 10$$
$$2x - x = 10$$
$$x = 10$$

So, Brother's age = 10 years

Hetal's age $= 2 \times 10 = \mathbf{20}$ years

Verification: Hetal (20) is twice her brother's age (10) ✓ and also 10 years older (20 − 10 = 10) ✓

Given: Date of Birth written as 02/05/2015.

Concept: In the DD/MM/YYYY format, the middle number represents the month.

Month 05 = May

Answer: Bincy was born on 2 May in the year 2015.

Given: Bincy's Date of Birth = 2 May 2015.

Calculation:
$$2025 - 2015 = 10 \text{ years}$$

Since the date is exactly 2 May 2025 (her birthday), she will have completed exactly 10 years.

Answer: Bincy will be 10 years old on 2 May 2025.

Given: Bincy's Date of Birth = 2 May 2015.

Calculation:
$$2030 - 2015 = 15 \text{ years}$$

Answer: Bincy will be 15 years old in 2030 (after 2 May 2030).