Remainders and congruence

Remainders of sums and powers by their cycle, the calendar by remainders of 7, Fermat, Euler and linear congruences

The Remainders and congruence unit belongs to the Arithmetic and mental math section of Math Mental and has 21 lessons: remainders of sums and powers by their cycle, the calendar by remainders of 7, Fermat, Euler and linear congruences.

Lessons in this unit

  1. Remainder of a sum Lesson, 8 questions
  2. Remainder of a product Lesson, 8 questions
  3. Divide by d, remainder r Lesson, 8 questions
  4. Last digit of a power Lesson, 8 questions
  5. Remainder of a power by its cycle Lesson, 8 questions
  6. Remainder of a sum of powers Lesson, 8 questions
  7. Practice: remainders Practice, 12 questions
  8. N days from now Lesson, 8 questions
  9. Leap year Lesson, 8 questions
  10. Leap years in a range Lesson, 8 questions
  11. Same date, years later Lesson, 8 questions
  12. 53 times in a year Lesson, 8 questions
  13. Weekday of a date Lesson, 8 questions
  14. Practice: calendar Practice, 12 questions
  15. Fermat's little theorem Lesson, 8 questions
  16. Euler's φ function Lesson, 8 questions
  17. Euler's theorem Lesson, 8 questions
  18. Inverse modulo m Lesson, 8 questions
  19. Linear congruence Lesson, 8 questions
  20. Congruence with a common factor Lesson, 8 questions
  21. Unit test 12 questions

This unit in numbers

18 lessons, 2 practices, and 1 test, with 180 questions in total.

It starts with “Remainder of a sum” and ends with “Congruence with a common factor”.

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