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Primary General Studies: Chinese Festivals and the Lunar Calendar (Paper 3 (challenge))
Primary General Studies: Chinese Festivals and the Lunar Calendar (Paper 3 (challenge))
Paper three works with the astronomy: the gap between synodic months and the tropical year, the accuracy of the nineteen year rule, the 383 day leap year, and counting days across festivals by adding each month in turn.
Direct answers Draw a month line for cross-festival counting: days left this month, then whole months, then the target day.
01 Paper details (check answers afterwards)
| Item | Detail |
|---|---|
| Questions | 10 |
| Suggested time | 20 |
| Difficulty mix | Foundation 3 · Intermediate 3 · Challenge 3 · Error redo 1 |
| Chapter | Chapter: Primary General Studies: Chinese Festivals and the Lunar Calendar |
| Level | parts of a closed circuit, conductors against insulators, series against parallel, adding up battery voltage, and electrical safety |
02 Questions (10 items)
- FoundationA synodic month is about 29.5306 days. How long are twelve of them?
- FoundationHow far apart are twelve synodic months and a tropical year?
- FoundationHow many days are in nineteen tropical years?
- IntermediateHow long are 235 synodic months, and how far is that from nineteen tropical years?
- IntermediateHow many extra months does the nineteen year seven leap month rule add?
- IntermediateFrom the Lantern Festival to the Dragon Boat Festival, alternating 30 and 29 day months, how many days?
- ChallengeHow many days from Mid-Autumn to the Double Ninth Festival?
- ChallengeHow long is a lunar year with a leap month?
- ChallengeHow many Hong Kong public holidays follow the lunar calendar, and which ones?
- Error redoAt seven leap months per nineteen years, how many fall in a century?
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | About 354 days. | Twelve times 29.5306 is 354 days, short of the 365.2422 day tropical year. |
| 2 | About 10.8 days. | 365.2422 minus 354 is 10.8 days, and leap months make up the difference. |
| 3 | About 6939 days. | Nineteen times 365.2422 is 6939 days. |
| 4 | About 6939 days, only 0.1 days apart. | 235 times 29.5306 is 6939 days, so the nineteen year seven leap month rule is very accurate. |
| 5 | 7 months. | Nineteen years need 228 months, so 235 minus 228 leaves 7 leap months. |
| 6 | 108 days. | Fifteen days left in month one, then 29, 30, 29 and five makes 108. |
| 7 | 24 days. | Fifteen days left in month eight plus nine in month nine makes 24. |
| 8 | About 383 days. | Thirteen times 29.5306 is 383 days, longer than a solar year by about 18.7. |
| 9 | 6 days: the first three days of the year, Dragon Boat, the day after Mid-Autumn, and Double Ninth. | Qingming is a solar term fixed by the sun, so it is not counted among those 6 days. |
| 10 | About 36.8. | One hundred divided by nineteen times seven is 36.8, so roughly 37 leap months a century. |
04 What to do after marking
- After marking, redo only the wrong items and write down which step went wrong (formula, unit, or misread number).
- Repeat the same item two days later; move to the next paper only when both attempts are correct.
- Parents only need the answer and note columns; there is no need to explain every item.
Paper four clears the conductor, insulator and battery direction misconceptions.Tutor Registration →
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