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Earn 100

At the 2018 World Cup in Russia, one group of tickets cost P975 while another group of tickets in the same category cost P1170. What is the most a ticket could cost?

Important Questions on Numbers and Number Systems Civilizations and Human Interactions

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Saturn orbits the sun every 12 years, Jupiter every 30 years, and Uranus every 84 years. In how many years from now will all three planets have the same positions in the sky as they do today?
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You are making emergency relief kits to give to bushfire victims. Bottles of water come in crates of 30; there are 24 cans of food in each carton; and beef jerky protein packs are in boxes of 80. You would like to create kits with one in each, with nothing left over What is the smallest number of kits you can make?
MEDIUM
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Quilting (stitching together of layers of fabric) dates back to Ancient Egypt, and the oldest quilt discovered is from about 5500 years ago. Today, many bedspread quilts consist of small squares sewn together. If you wanted to create a quilt for your bed measuring 42 inches by 78 inches, with squares of quilted fabric, what are the dimensions of the largest squares you could use? How many squares would there be?
MEDIUM
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IMPORTANT

The Mayans of south-eastern Mexico and northern Central America had two calendars of different lengths. The Haab' is 365 days and follows the solar year. There is also a sacred calendar called the Tzolk'in, which has a 260 day cycle. The Calendar Round is made from the connection between the two calendars. The duration of the Calendar Round is when both calendars start again on the same day.

Calculate the duration of the Calendar Round.

MEDIUM
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IMPORTANT

The Mayans of south-eastern Mexico and northern Central America had two calendars of different lengths. The Haab' is 365 days and follows the solar year. There is also a sacred calendar called the Tzolk'in, which has a 260 day cycle. The Calendar Round is made from the connection between the two calendars. The duration of the Calendar Round is when both calendars start again on the same day.

Calculate the duration of the Calendar Round.

The Mayans believed that when a person lives for the duration of the Calendar Round, they will attain the special wisdom of an elder. At what age (in years) is this using the Haab' calendar?