Samacheer Kalvi Class 5 Maths Solutions Term 2 Chapter 6 Information Processing Exercise 6.1

Tamilnadu Samacheer Kalvi 5th Maths Solutions Term 2 Chapter 6 Information Processing Ex 6.1

Question 1. Choose the correct answer
(i) Which shape have 6 triangles?
(a)
(b)
(c)
(d)
Answer: (b)
In simple words: The hexagon shape is made by six equal triangles meeting in the middle. Counting these triangles shows there are exactly six of them.

🎯 Exam Tip: When counting triangles, be careful to count only the distinct, non-overlapping basic triangles formed by the lines, not larger composite triangles.

(ii) Find which garland has made up of 12 beads?
(a) (8 beads)
(b) (10 beads)
(c) (12 beads)
(d) (14 beads)
Answer: (c)
In simple words: The garland is made of small bead clusters. By counting each bead in the given option (c), we find there are 12 beads in total. Each group has 4 beads, and there are 3 groups, so \(4 \times 3 = 12\) beads.

🎯 Exam Tip: For counting questions, carefully count each item one by one to avoid errors, especially when items are grouped or arranged in complex patterns.

Question 2. Answer the following
(i)
4, 4, 3, 5, 4, 4,
Answer: 4, 4, 3, 5, 4, 4, 3, 5, 4, 4, 3, 5 [Number of sides]
In simple words: Look at the pattern of numbers. The numbers 4, 4, 3, 5 keep repeating. So, we continue this sequence until we have enough numbers. Each number shows how many sides the shape has.

🎯 Exam Tip: When given a sequence with a repeating pattern, identify the repeating block and extend the sequence by adding that block multiple times.

(ii) 1, 1, 2, 3, 5, 8,
Answer: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55
In simple words: This is a special pattern where you add the last two numbers to get the next one. For example, \(1+1=2\), \(1+2=3\), \(2+3=5\), and so on. This pattern is called the Fibonacci sequence.

🎯 Exam Tip: To identify a Fibonacci sequence, check if each number (after the first two) is the sum of the two numbers directly before it.

Question 3.
If \( \triangle = 3 \), \( \square = 4 \), \( \pentagon = 5 \), then
(i) \( \triangle + \square + \pentagon + \triangle - \square = \)
Answer: \( 3 + 4 + 5 + 3 - 4 \)
\( = 15 - 4 \)
\( = 11 \)
In simple words: Replace each shape with its given number. Then, do the addition and subtraction in order from left to right to find the final answer.

🎯 Exam Tip: Always replace symbols with their correct numerical values first, then follow the standard order of operations (BODMAS/PEMDAS) to solve the expression.

(ii) \( \square - \pentagon - \triangle = \)
Answer: \( 4 - 5 - 3 \)
\( = -1 - 3 \)
\( = -4 \)
In simple words: Substitute the given numbers for each shape. Then, solve the subtraction from left to right. When you subtract a bigger number from a smaller one, you get a negative result.

🎯 Exam Tip: Be careful with signs when subtracting numbers, especially when a smaller number is subtracted from a larger one or vice-versa. Always work from left to right for consecutive additions and subtractions.