Calendar Problems - Intermediate-Advanced Level: month puzzles INTERMEDIATE-ADVANCED

Strategic expert challenge ★ for calendar problems: 20 intermediate-advanced-level problems. Worksheet 19 of 30 - Focus: month puzzles. Develop expertise in year logic, leap year calculations, calendar arithmetic with step-by-step solutions. Ideal for advanced developing learners targeting advanced concepts with increasing complexity.

📝 Worksheet 19 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate-advanced level

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Worksheet 19 of 30 (63% complete)

Question 1

How many odd days are there between 1 January 1999 and 1 January 2004 (excluding the start date)?
Years from 1999 to 2003 inclusive. Total days = 1826. Odd days = 1826 mod 7 = 6

Question 2

Is 1943 a leap year?
1943 is not a leap year because it's not divisible by 4

Question 3

What day of the week was 31 December 1900 (the last day of the 19th century)?
31 December 1900 was a Monday. Note: Century years divisible by 400 are leap years, others are not.

Question 4

How many odd days are there from 01-01-2006 to 05-02-2011 (inclusive)? (Note: Odd days = remainder when total days are divided by 7)
Total days = 1862. Odd days = 1862 mod 7 = 0.

Question 5

Which century does the year 1878 belong to?
Year 1878 belongs to the 19th century (years 1801 to 1900)

Question 6

If someone was born on 19 December 2003 (a Friday), what day of the week will their birthday be in 2020?
The birthday 19 December 2020 falls on a Saturday.

Question 7

What is the date of the 3rd Tuesday in December 2023?
The 3rd Tuesday of December 2023 falls on 19-12-2023.

Question 8

How many even dates are there in January 2022?
January 2022 has 31 days, of which 15 are even dates

Question 9

How many odd days are there between 1 January 1985 and 1 January 2034 (excluding the start date)?
Years from 1985 to 2033 inclusive. Total days = 17897. Odd days = 17897 mod 7 = 5

Question 10

What is the date of the last Tuesday in October 2026?
The Tuesdays in October 2026 fall on: 6, 13, 20, 27. The last one is 27.

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 Saturday?
Saturday is coded as Epsilon.

Question 12

Is 1977 a leap year?
1977 is not a leap year because it's not divisible by 4

Question 13

Which century does the year 2072 belong to?
Year 2072 belongs to the 21th century (years 2001 to 2100)

Question 14

If January 1, 2008 was a Tuesday, what day was January 1, 2036?
January 1, 2036 was a Tuesday. Calendar patterns repeat in cycles due to leap years.

Question 15

A person was born on 3 January 2001. What is their age on 27 January 2026?
Born 3 January 2001, age on 27 January 2026 is 25 years

Question 16

What day of the week was 2 March 2046?
Using Zeller's congruence: 2/3/2046 = Friday

Question 17

What day of the week was 31 December 1900 (the last day of the 19th century)?
31 December 1900 was a Monday. Note: Century years divisible by 400 are leap years, others are not.

Question 18

How many days are there between 26 March 2021 and 4 November 2021?
The difference between 26 March 2021 and 4 November 2021 is 223 days

Question 19

Is 1957 a leap year?
1957 is not a leap year because it's not divisible by 4

Question 20

What day of the week was 18 February 2003?
Using calendar calculation, 18 February 2003 was a Tuesday.
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