Calendar Problems - Intermediate-Advanced Level: leap year calculations INTERMEDIATE-ADVANCED

This fundamentals focus worksheet contains 20 intermediate-advanced-level calendar problems problems. Worksheet 21 of 30 focuses on leap year calculations. Practice calendar arithmetic, date finding, calendar puzzles with our step-by-step solutions. Difficulty: advanced concepts with increasing complexity. Recommended for advanced developing learners.

📝 Worksheet 21 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate-advanced level

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Worksheet 21 of 30 (70% complete)

Question 1

How many odd days are there between 1 January 1949 and 1 January 1958 (excluding the start date)?
Years from 1949 to 1957 inclusive. Total days = 3287. Odd days = 3287 mod 7 = 4

Question 2

Is 1978 a leap year?
1978 is not a leap year because it's not divisible by 4

Question 3

What day of the week was 10 February 1914?
Using Zeller's congruence: 10/2/1914 = Tuesday

Question 4

If 1 February 2011 was a Tuesday, what day will 1 February 2017 be?
1 February 2017 will be a Wednesday

Question 5

What is the fiscal year for the date 07-03-2021 (assuming April-March fiscal year)?
Fiscal year starts in April. Since month is 3 (March), it belongs to FY2020-2021.

Question 6

What day of the week was 6 April 2027?
Using Zeller's congruence: 6/4/2027 = Tuesday

Question 7

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 8

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 9

In the calendar for April 2030, how many Mondays are there? 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 | | | | |
In April 2030, the Mondays fall on: 1, 8, 15, 22, 29. Total: 5.

Question 10

How many days are there between 15 April 2023 and 13 November 2025?
The difference between 15 April 2023 and 13 November 2025 is 943 days

Question 11

A person was born on 18 April 2005. What is their age on 9 August 2026?
Born 18 April 2005, age on 9 August 2026 is 21 years

Question 12

A person was born on 3 February 2002. What is their age on 18 March 2030?
Born 3 February 2002, age on 18 March 2030 is 28 years

Question 13

In which ISO week does 24 March 2015 fall? (Note: ISO week definition - Monday start, week 1 contains first Thursday)
ISO week number is calculated with Monday as the first day of week, and week 1 is the week containing the first Thursday. 24-03-2015 is in week 13.

Question 14

If someone was born on 19 April 1991 (a Friday), what day of the week will their birthday be in 2023?
The birthday 19 April 2023 falls on a Wednesday.

Question 15

If 17 July 2014 was a Thursday, what day will 17 July 2023 be?
17 July 2023 will be a Monday

Question 16

Which century does the year 2097 belong to?
Year 2097 belongs to the 21th century (years 2001 to 2100)

Question 17

How many even dates are there in December 2029?
December 2029 has 31 days, of which 15 are even dates

Question 18

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 19

Is 2066 a leap year?
2066 is not a leap year because it's not divisible by 4

Question 20

How many even dates are there in August 2028?
August 2028 has 31 days, of which 15 are even dates
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