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D. Match the following.

Column a Column B

1. Triangular numbers (a) 1, 5, 12, ...
2. Fibonacci Numbers (b) 1, 4, 10, 20, ...

3. Pentagonal Numbers (c) 1, 3, 6, 10, ...
4. Tetrahedral Numbers (d) 1, 1, 2, 3, ...

E. Solve the following questions.
1. First find the squares of 9, 99 and 999 by actual multiplication. Then, write the squares of 9999 and
999999 by observing the pattern.
9 × 9 = ..........

99 × 99 = ..........
999 × 999 = ..........
9999 × 9999 = ..........

99999 × 99999 = ..........
2. Look at the given pattern and complete the missing part.
11 × 11 = 121

111 × 111 = 12321
1111 × 1111 = ..........
11111 × 11111 = 123454321

111111 × 111111 = ..........
1111111 × 1111111 = ..........
11111111 × 11111111 = ..........

111111111 × 111111111 = 12345678987654321
This result of each multiplication here is known as a special number in mathematics. Can you guess
the name of that number? Name the first Indian mathematician who first contributed to the study
of the special number which remains the same when read from left or right.
3. A football is made of 12 pentagons and 20 hexagons. What is the shape of a football in mathematics
known as?

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4. Place the digits 1 – 8 in the empty circles such that 1 4 6
no two numbers inside circles that are joined by
a line differ by 1. One wrong solution is provided 3 7 2
for you to understand how two numbers should
be placed in the adjoining circles.
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Figure 1 Figure 2 (Wrong Solution)

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