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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
By re-arranging the given numbers evaluate :
237 + 308 + 163
Which property of addition is satisfied by :
3+ (5 + 4) = (3 + 5)+ 4
Fill in the blank :
229 x ________ = 578 x 229
By re-arranging the given numbers evaluate :
25 x 444 x 4
Evaluate using properties :
679 x 8 + 679 x 2
Solve:
1 x 8 + 1 = 9
12 x 8 + 2 = 98
123 x 8 + 3 = 987
Solve:
111 ÷ 3 = 37
222 ÷ 6 = 37
333 ÷ 9 = 37
- 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
Write the next three natural numbers after 10999.
Is the following statement true (T) or false (F)?
All natural numbers are whole numbers.
