Exercise 6.3 Solutions | Information Processing | 6th Maths Term 1 Unit 6

Exercise 6.3

1) How many Triangles are there in each of the following figures?
Triangles Figure
Answer: (i) 12 triangles (ii) 16 triangles (iii) 32 triangles (iv) 35 triangles
2) Find the number of dots in the tenth figure of the following patterns.
Dots Pattern
(i) Answer: 21, 28, 36, 45, 55 Tenth figure 55 dots.
(ii) Answer: 36, 49, 64, 81, 100 Tenth figure 100 dots.
3)
Question 3 Main Figure

(i) Draw the next pattern.

Answer:
Answer 3 i

(ii) Prepare a table for the number of dots used for each pattern.

Answer:
Answer 3 ii

(iii) Explain the pattern.

Answer: 2 ; 2 + 3, 5 + 4; 9 + 5
Answer 3 iii

(iv) Find the number of dots in the 25th pattern.

Answer: 1 + 2 + 3 + 4 + .... + 26 = 350
4) Count the number of squares in each of the following figures?
Squares Figure
Answer: (i) 20 squares (ii) 10 squares
5) How many Circles are there in the following figure?
Circles Figure
Answer: 7 Circles
6) Find the minimum number of straight lines used in forming the following figures.
Straight Lines Figure
Answer: (i) 10 lines (ii) 12 lines.

Answers: Exercise 6.3

(1) (i) 12 triangles (ii) 16 triangles (iii) 32 triangles (iv) 35 triangles (2) (i) 55 (ii) 100 (3) (i)
Summary Answer 3 i
(3) (ii)
Summary Answer 3 ii
(3) (iii)
Summary Answer 3 iii
(iv) 350 (4) (i) 20 squares (ii) 10 squares (5) 7 circles (6) (i) 10 (ii) 12