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प्रश्न
- In each of the following patterns, construct next figure.
- In each case, if n denotes the number of figure and F denotes the number of matchsticks used, find F in terms of n.
- Also find, in each case, how many matches are required to make the: 16th figure and 30th figure.
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उत्तर
a
.
b
.
c
.
d
e
f
.
i.
(a) F = 3n + 2
(b) F = 4n + 1
(c) F = 5n + 3
(d) F = 5n + 1
(e) F = 4n + 1
(f) F = 4n - 2
ii. 16th figure
(a) F = 3 x 16 + 2 = 50
(b) F = 4 x 16 + 1 = 65
(c) F = 5 x 16 + 3 = 83
(d) F = 5 x 16 + 1 = 81
(e) F = 4 x 16 + 1 = 65
(f) F = 4 x 16 - 2 = 62
iii. 30th figure
(a) F = 3 x 30 + 2 = 92
(b) F = 4 x 30 + 1 = 121
(c) F = 5 x 30 + 3 = 153
(d) F = 5 x 30 + 1 = 151
(e) F = 4 x 30 + 1 = 121
(f) F = 4 x 30 - 2 = 118
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संबंधित प्रश्न
Fill in the blank:
286 + 0 = ______
Which property of addition is satisfied by :
8 x (8 + 0) = 8 x 8 + 8 x 0
Which property of addition is satisfied by :
(15 – 12) x 18 = 15 x 18 – 12 x 18
State True or False:
The sum of two even numbers is an even number.
State True or False:
Every whole number x 1 = The whole number itself.
By re-arranging the given numbers evaluate :
25 x 444 x 4
Evaluate using properties :
284 x 12 – 284 x 2
Complete the following magic squares:
| 6 | 7 | _______ |
| _______ | 5 | 9 |
| 8 | _______ | 4 |
Complete the following magic squares:
| 16 | 2 | ________ |
| _______ | 10 | ________ |
| _______ | _______ | 4 |
- In the following pattern, draw the next two figures.
- Construct a table to describe the figures in the above pattern.
- If n denotes the number of figures and L denotes the number of matches, find L in terms of n.
- Find how many matches are required to make the :
(1) 12th figure
(2) 20th figure
