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Real Numbers - Euclid's Division Algorithm

Maths · Grade 10 · Week 1 · 25 questions

The number system organises all numbers — natural, whole, integers, rational, and irrational — into a logical framework. Understanding this system is the foundation for all advanced mathematics.

What you'll practise

  • Classify numbers into different categories
  • Distinguish between rational and irrational numbers
  • Represent numbers on the number line
  • Apply properties of real numbers
All 25 questions in this Real Numbers - Euclid's Division Algorithm quiz

Grade 10 MathsReal Numbers - Euclid's Division Algorithm: 25 practice questions with instant scoring and explanations.

  1. Find HCF of 110 and 50 using Euclid's algorithm.
  2. Find HCF of 451 and 303 using Euclid's algorithm.
  3. Find HCF of 172 and 10 using Euclid's algorithm.
  4. Find the remainder when 468 is divided by 60.
  5. Using Euclid's division lemma on 397 ÷ 170, what is the quotient?
  6. Find the remainder when 232 is divided by 216.
  7. Find HCF of 95 and 81 using Euclid's algorithm.
  8. Find HCF of 122 and 92 using Euclid's algorithm.
  9. Find the remainder when 236 is divided by 128.
  10. Find the remainder when 494 is divided by 69.
  11. Find HCF of 482 and 225 using Euclid's algorithm.
  12. Using Euclid's division lemma on 344 ÷ 124, what is the quotient?
  13. Find the remainder when 417 is divided by 328.
  14. Find HCF of 167 and 41 using Euclid's algorithm.
  15. Find the remainder when 415 is divided by 289.
  16. Find HCF of 330 and 266 using Euclid's algorithm.
  17. Find the remainder when 153 is divided by 85.
  18. Find the remainder when 385 is divided by 315.
  19. Find the remainder when 183 is divided by 134.
  20. Find the remainder when 475 is divided by 158.
  21. Find HCF of 402 and 376 using Euclid's algorithm.
  22. Using Euclid's division lemma on 267 ÷ 255, what is the quotient?
  23. Find HCF of 99 and 34 using Euclid's algorithm.
  24. Using Euclid's division lemma on 57 ÷ 15, what is the quotient?
  25. Using Euclid's division lemma on 362 ÷ 111, what is the quotient?
Question 1 of 250 correct so far

Find HCF of 110 and 50 using Euclid's algorithm.