Calendar Problems - Intermediate Level: date calculations INTERMEDIATE

Quick mental agility ★ session: 20 intermediate-level calendar problems questions. Worksheet 17 of 30 - Focus: date calculations. Practice day determination, month puzzles, year logic with instant feedback. Great for mid-level students needing moderate complexity with mixed patterns practice.

📝 Worksheet 17 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

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Worksheet 17 of 30 (56% complete)

Question 1

What is the date of the 2nd Tuesday in April 2012?
The 2nd Tuesday of April 2012 falls on 10-04-2012.

Question 2

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 3

In which ISO week does 27 October 1994 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. 27-10-1994 is in week 43.

Question 4

How many days are there in July 2021?
July 2021 has 31 days.

Question 5

If today is Tuesday, what day will it be 16 days later?
Starting from Tuesday (1), after 16 days: (1 + 16) mod 7 = 3 = Thursday

Question 6

If 30 August 2019 was a Friday, what day will 22 September 2019 be?
The gap is 23 days. 23 mod 7 = 2 days shift. Friday + 2 days = Sunday

Question 7

How many days are there from the beginning of April to the end of May in 2018?
From April to May in 2018: 61 days total.

Question 8

How many odd days are there between 1 January 1927 and 1 January 1969 (excluding the start date)?
Years from 1927 to 1968 inclusive. Total days = 15341. Odd days = 15341 mod 7 = 4

Question 9

Which year before 2033 had the exact same calendar as 2033?
The calendar repeats when January 1 falls on the same day and leap status matches. 2022 satisfies this.

Question 10

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 Thursday?
Thursday is coded as Delta.

Question 11

If today is Thursday, what day will it be 49 days later?
Starting from Thursday (3), after 49 days: (3 + 49) mod 7 = 3 = Thursday

Question 12

If 18 June 2018 was a Monday, what day will 13 September 2018 be?
The gap is 87 days. 87 mod 7 = 3 days shift. Monday + 3 days = Thursday

Question 13

How many odd days are there from 01-01-2002 to 18-11-2005 (inclusive)? (Note: Odd days = remainder when total days are divided by 7)
Total days = 1418. Odd days = 1418 mod 7 = 4.

Question 14

How many Sundays are there in April 2020?
April 2020 has 4 Sundays

Question 15

What day of the week was 16 September 2056?
Using Zeller's congruence: 16/9/2056 = Saturday

Question 16

How many odd days are there between 1 January 1988 and 1 January 1998 (excluding the start date)?
Years from 1988 to 1997 inclusive. Total days = 3653. Odd days = 3653 mod 7 = 6

Question 17

How many days are there between 21 April 2023 and 2 July 2025?
The difference between 21 April 2023 and 2 July 2025 is 803 days

Question 18

In the calendar for August 2024, how many Saturdays 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
In August 2024, the Saturdays fall on: 3, 10, 17, 24. Total: 4.

Question 19

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 Sunday?
Sunday is coded as Omega.

Question 20

Which century does the year 2030 belong to?
Year 2030 belongs to the 21th century (years 2001 to 2100)
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