Question 26 of 29intermediate🔧 ApplyShort Answer3 marks
Answer the following questions:
(i)
How many square numbers are there between 1 and 100? (including one and one hundred if they are perfect squares)
Answer
10 square numbers (1, 4, 9, 16, 25, 36, 49, 64, 81, 100)
(ii)
How many are between 101 and 200?
Answer
4 square numbers (121, 144, 169, 196)
(iii)
What is the largest square less than 1000?
Answer
961 (which is 31²)
Explanation
(i) Squares from 1² to 10² fall in this range. (ii) Squares from 11² to 14² fall in this range. (iii) 31² = 961 < 1000 < 1024 = 32²