Samacheer Kalvi Class 5 Maths Solutions Term 1 Chapter 3 Patterns Exercise 3.2

Answer the Following

Question 1. Square of the number 7 is
(a) 14
(b) 49
(c) 21
(d) 28
Answer: (b) 49
In simple words: To find the square of a number, you multiply it by itself. For example, \(7^2\) means \(7 \times 7\), which equals 49. Squaring a number is a common operation in many math problems.

🎯 Exam Tip: Remember that "square" means to multiply a number by itself, not by two, and quickly check with mental math if possible.

Question 2. 64 is the square number of
(a) 4
(b) 16
(c) 8
(d) 32
Answer: (c) 8
In simple words: We are looking for a number that, when multiplied by itself, gives 64. That number is 8, because \(8 \times 8 = 64\). This is the reverse of finding the square; it's finding the square root.

🎯 Exam Tip: To find the square root, think of which number multiplied by itself gives the target number. Knowing perfect squares up to 12 helps a lot.

Question 3. Is 24 a square number?
Answer: No
In simple words: A square number is what you get when you multiply a whole number by itself. For example, \(4 \times 4 = 16\) and \(5 \times 5 = 25\). Since 24 is not 16 or 25, it is not a square number.

🎯 Exam Tip: To check if a number is a perfect square, you can list the squares of whole numbers and see if your number appears in the list.

Question 4. A number multiplied by ________ is called square of that number.
Answer: itself
In simple words: When a number is multiplied by itself, the final result is known as its square. This is a basic definition in mathematics to understand how square numbers are formed.

🎯 Exam Tip: Always remember that "squaring" involves multiplying a number by itself, not by another number. This is a key definition.

Question 5. Fill in the blank box.
Answer: 25
In simple words: The numbers shown (4, 9, 16, 36) are square numbers. They follow a pattern: \(2 \times 2 = 4\), \(3 \times 3 = 9\), \(4 \times 4 = 16\), and \(6 \times 6 = 36\). The missing number in this sequence should be \(5 \times 5\), which is 25. This pattern shows the squares of consecutive whole numbers.

🎯 Exam Tip: When filling in missing numbers in a pattern, first try to identify the rule. Look for common math operations like addition, subtraction, multiplication, division, or squaring.

Question 6. 1, 3, 6, ____, 15, ____, 28
Answer: 10, 21
In simple words: To find the missing numbers, we look at the difference between the known numbers. From 1 to 3, the difference is 2. From 3 to 6, the difference is 3. This means the pattern is adding one more than the last added number each time. So, after 6, we add 4 to get 10. After 15, we add 6 to get 21. This forms an increasing arithmetic progression of differences.

🎯 Exam Tip: For sequence questions, always check the difference between consecutive numbers first. If the first difference isn't constant, check the difference of the differences.