Leap Year worksheet

1. Result: 1800 is not a leap year

1. 1800 divides evenly by 4, so it may be a leap year; check the century rule

   $\frac{\text{1800}}{4}$$=450\text{(a whole number)}$

2. 1800 is a century year (divisible by 100), so it is a leap year only if it also divides by 400

   $\frac{\text{1800}}{100}$$=18\text{(a whole number)}$

3. 1800 does not divide by 400, so this century year is skipped as a leap year

   $\frac{\text{1800}}{400}$$=4.5\text{(not a whole number)}$

4. Put the tests together using the Gregorian rule, the calendar most of the world uses

   $\text{1800 is not a leap year: 365 days, February has 28 days}$

5. Count back and forward to the nearest leap years, so you can plan around February 29

   $\text{previous: 1796, next: 1804}$

6. Leap years from 2250 to 2400: every fourth year, skipping century years not divisible by 400

   $\text{37 leap years}$

2. Result: 1550 is not a leap year

1. 1550 does not divide evenly by 4, so it is a common year

   $\frac{\text{1550}}{4}$$=387.5\text{(not a whole number)}$

2. Put the tests together using the Gregorian rule, the calendar most of the world uses

   $\text{1550 is not a leap year: 365 days, February has 28 days}$

3. Count back and forward to the nearest leap years, so you can plan around February 29

   $\text{previous: 1548, next: 1552}$

4. Leap years from 1400 to 1600: every fourth year, skipping century years not divisible by 400

   $\text{49 leap years}$

3. Result: 2200 is not a leap year

1. 2200 divides evenly by 4, so it may be a leap year; check the century rule

   $\frac{\text{2200}}{4}$$=550\text{(a whole number)}$

2. 2200 is a century year (divisible by 100), so it is a leap year only if it also divides by 400

   $\frac{\text{2200}}{100}$$=22\text{(a whole number)}$

3. 2200 does not divide by 400, so this century year is skipped as a leap year

   $\frac{\text{2200}}{400}$$=5.5\text{(not a whole number)}$

4. Put the tests together using the Gregorian rule, the calendar most of the world uses

   $\text{2200 is not a leap year: 365 days, February has 28 days}$

5. Count back and forward to the nearest leap years, so you can plan around February 29

   $\text{previous: 2196, next: 2204}$

6. Leap years from 2400 to 2500: every fourth year, skipping century years not divisible by 400

   $\text{25 leap years}$

4. Result: 1800 is not a leap year

1. 1800 divides evenly by 4, so it may be a leap year; check the century rule

   $\frac{\text{1800}}{4}$$=450\text{(a whole number)}$

2. 1800 is a century year (divisible by 100), so it is a leap year only if it also divides by 400

   $\frac{\text{1800}}{100}$$=18\text{(a whole number)}$

3. 1800 does not divide by 400, so this century year is skipped as a leap year

   $\frac{\text{1800}}{400}$$=4.5\text{(not a whole number)}$

4. Put the tests together using the Gregorian rule, the calendar most of the world uses

   $\text{1800 is not a leap year: 365 days, February has 28 days}$

5. Count back and forward to the nearest leap years, so you can plan around February 29

   $\text{previous: 1796, next: 1804}$

6. Leap years from 1500 to 1675: every fourth year, skipping century years not divisible by 400

   $\text{43 leap years}$

5. Result: 2250 is not a leap year

1. 2250 does not divide evenly by 4, so it is a common year

   $\frac{\text{2250}}{4}$$=562.5\text{(not a whole number)}$

2. Put the tests together using the Gregorian rule, the calendar most of the world uses

   $\text{2250 is not a leap year: 365 days, February has 28 days}$

3. Count back and forward to the nearest leap years, so you can plan around February 29

   $\text{previous: 2248, next: 2252}$

4. Leap years from 2000 to 3000: every fourth year, skipping century years not divisible by 400

   $\text{243 leap years}$

6. Result: 2350 is not a leap year

1. 2350 does not divide evenly by 4, so it is a common year

   $\frac{\text{2350}}{4}$$=587.5\text{(not a whole number)}$

2. Put the tests together using the Gregorian rule, the calendar most of the world uses

   $\text{2350 is not a leap year: 365 days, February has 28 days}$

3. Count back and forward to the nearest leap years, so you can plan around February 29

   $\text{previous: 2348, next: 2352}$

4. Leap years from 2250 to 2400: every fourth year, skipping century years not divisible by 400

   $\text{37 leap years}$

7. Result: 2500 is not a leap year

1. 2500 divides evenly by 4, so it may be a leap year; check the century rule

   $\frac{\text{2500}}{4}$$=625\text{(a whole number)}$

2. 2500 is a century year (divisible by 100), so it is a leap year only if it also divides by 400

   $\frac{\text{2500}}{100}$$=25\text{(a whole number)}$

3. 2500 does not divide by 400, so this century year is skipped as a leap year

   $\frac{\text{2500}}{400}$$=6.25\text{(not a whole number)}$

4. Put the tests together using the Gregorian rule, the calendar most of the world uses

   $\text{2500 is not a leap year: 365 days, February has 28 days}$

5. Count back and forward to the nearest leap years, so you can plan around February 29

   $\text{previous: 2496, next: 2504}$

6. Leap years from 1600 to 2200: every fourth year, skipping century years not divisible by 400

   $\text{146 leap years}$

8. Result: 2400 is a leap year

1. 2400 divides evenly by 4, so it may be a leap year; check the century rule

   $\frac{\text{2400}}{4}$$=600\text{(a whole number)}$

2. 2400 is a century year (divisible by 100), so it is a leap year only if it also divides by 400

   $\frac{\text{2400}}{100}$$=24\text{(a whole number)}$

3. 2400 divides evenly by 400, so the century is still a leap year

   $\frac{\text{2400}}{400}$$=6\text{(a whole number)}$

4. Put the tests together using the Gregorian rule, the calendar most of the world uses

   $\text{2400 is a leap year: 366 days, February has 29 days}$

5. Count back and forward to the nearest leap years, so you can plan around February 29

   $\text{previous: 2396, next: 2404}$

6. Leap years from 2000 to 2100: every fourth year, skipping century years not divisible by 400

   $\text{25 leap years}$

9. Result: 1400 is not a leap year

1. 1400 divides evenly by 4, so it may be a leap year; check the century rule

   $\frac{\text{1400}}{4}$$=350\text{(a whole number)}$

2. 1400 is a century year (divisible by 100), so it is a leap year only if it also divides by 400

   $\frac{\text{1400}}{100}$$=14\text{(a whole number)}$

3. 1400 does not divide by 400, so this century year is skipped as a leap year

   $\frac{\text{1400}}{400}$$=3.5\text{(not a whole number)}$

4. Put the tests together using the Gregorian rule, the calendar most of the world uses

   $\text{1400 is not a leap year: 365 days, February has 28 days}$

5. Count back and forward to the nearest leap years, so you can plan around February 29

   $\text{previous: 1396, next: 1404}$

6. Leap years from 1800 to 1900: every fourth year, skipping century years not divisible by 400

   $\text{24 leap years}$

10. Result: 2300 is not a leap year

1. 2300 divides evenly by 4, so it may be a leap year; check the century rule

   $\frac{\text{2300}}{4}$$=575\text{(a whole number)}$

2. 2300 is a century year (divisible by 100), so it is a leap year only if it also divides by 400

   $\frac{\text{2300}}{100}$$=23\text{(a whole number)}$

3. 2300 does not divide by 400, so this century year is skipped as a leap year

   $\frac{\text{2300}}{400}$$=5.75\text{(not a whole number)}$

4. Put the tests together using the Gregorian rule, the calendar most of the world uses

   $\text{2300 is not a leap year: 365 days, February has 28 days}$

5. Count back and forward to the nearest leap years, so you can plan around February 29

   $\text{previous: 2296, next: 2304}$

6. Leap years from 1800 to 1800: every fourth year, skipping century years not divisible by 400

   $\text{0 leap years}$