Calendar Problems - Intermediate-Advanced Level: year logic INTERMEDIATE-ADVANCED

Intensive strategic solving 🎯 drill: 20 intermediate-advanced-level calendar problems questions. Worksheet 20 of 30 hones your year logic abilities. Practice leap year calculations, calendar arithmetic, date finding under timed conditions. Best for advanced developing students seeking advanced concepts with increasing complexity.

📝 Worksheet 20 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate-advanced level

What you'll learn in this worksheet:
Your progress through Calendar Problems
Worksheet 20 of 30 (66% complete)

Question 1

How many odd days are there between 1 January 1923 and 1 January 1930 (excluding the start date)?
Years from 1923 to 1929 inclusive. Total days = 2557. Odd days = 2557 mod 7 = 2

Question 2

What day of the week was 31 December 2100 (the last day of the 21st century)?
31 December 2100 was a Friday. Note: Century years divisible by 400 are leap years, others are not.

Question 3

If someone was born on 23 May 1999 (a Sunday), what day of the week will their birthday be in 2027?
The birthday 23 May 2027 falls on a Sunday.

Question 4

Which year before 2012 had the exact same calendar as 2012?
The calendar repeats when January 1 falls on the same day and leap status matches. 1984 satisfies this.

Question 5

How many odd dates are there in June 2028?
June 2028 has 30 days, of which 15 are odd dates

Question 6

How many Tuesdays are there in May 2027?
May 2027 has 4 Tuesdays

Question 7

What day of the week was 3 July 2037?
Using Zeller's congruence: 3/7/2037 = Friday

Question 8

If 24 August 2019 was a Saturday, what day will 7 September 2019 be?
The gap is 14 days. 14 mod 7 = 0 days shift. Saturday + 0 days = Saturday

Question 9

How many Wednesdays are there in April 2025?
April 2025 has 5 Wednesdays

Question 10

If today is Tuesday, what day will it be 19 days later?
Starting from Tuesday (1), after 19 days: (1 + 19) mod 7 = 6 = Sunday

Question 11

If the days of the week are coded as {'Monday': 'Zeta', 'Tuesday': 'Alpha', 'Wednesday': 'Gamma', 'Thursday': 'Delta', 'Friday': 'Theta', 'Saturday': 'Epsilon', 'Sunday': 'Omega'}, what is the code for Wednesday?
Wednesday is coded as Gamma.

Question 12

How many weekend days (Saturdays and Sundays combined) are there in the year 2008?
Year 2008 has 52 Saturdays and 52 Sundays, totaling 104 weekend days.

Question 13

If the days of the week are coded as {'Monday': 'Zeta', 'Tuesday': 'Alpha', 'Wednesday': 'Gamma', 'Thursday': 'Delta', 'Friday': 'Theta', 'Saturday': 'Epsilon', 'Sunday': 'Omega'}, what is the code for Monday?
Monday is coded as Zeta.

Question 14

How many days are there between 25 December 2024 and 25 July 2025?
The difference between 25 December 2024 and 25 July 2025 is 212 days

Question 15

Which year before 2009 had the exact same calendar as 2009?
The calendar repeats when January 1 falls on the same day and leap status matches. 1998 satisfies this.

Question 16

Which year after 2047 has the exact same calendar as 2047?
The calendar repeats when January 1 falls on the same day and leap status matches. 2058 satisfies this.

Question 17

If someone was born on 10 December 2001 (a Monday), what day of the week will their birthday be in 2025?
The birthday 10 December 2025 falls on a Wednesday.

Question 18

How many odd days are there from 01-01-2019 to 22-09-2024 (inclusive)? (Note: Odd days = remainder when total days are divided by 7)
Total days = 2092. Odd days = 2092 mod 7 = 6.

Question 19

How many odd days are there from 01-01-2014 to 18-12-2018 (inclusive)? (Note: Odd days = remainder when total days are divided by 7)
Total days = 1813. Odd days = 1813 mod 7 = 0.

Question 20

What is the fiscal year for the date 13-08-2014 (assuming April-March fiscal year)?
Fiscal year starts in April. Since month is 8 (August), it belongs to FY2014-2015.
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