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1.

If 3 is the first triangular number, which is the tenth one?

Answer»

66 is the tenth triangular number.

2.

Name a number which is square as well as triangular.

Answer»

36 is square as well as triangular number.

3.

If 4 is the first square number, which is the tenth one?

Answer»

121 is the tenth square number.

4.

Find the square numbers from the list given below.5, 9, 12, 16, 50, 60, 64, 72, 80, 81

Answer»

9,16, 64, 81, 4, 25, 49 are square numbers.

5.

Which are the triangular numbers in the given list?3, 6, 8, 9, 12, 15, 16, 20, 21, 42

Answer»

3, 6, 15, 21, 28, 10, 45, 55 are triangular numbers.

6.

If 3 is the first triangular number which is the eighth one?

Answer»

45 is the eighth triangular number.

7.

If 4 is the first square number which is the eighth one?

Answer»

81 is the eighth square number.

8.

Match the column:AB(1) Third square number(a) 15(2) Fourth triangular number(b) 36(3) Number neither square nor triangular(c) 16(4) Number is both square as well as triangular number(d) 35

Answer»

(1 – c), 

(2 – a), 

(3 – d), 

(4 – b).

9.

Find out the numbers which are neither square nor triangular numbers from the following.4, 5, 6, 8, 9, 10, 14, 15, 16, 25, 26, 27, 28.

Answer»

5, 8 14, 26 and 27

10.

(1) If 4 is the first square number, which is the fifth one? (2) If 3 is the first triangular number, which is the sixth one? (3) Write all the square numbers between 20 and 80. (4) Write all the triangular numbers between 20 and 80. (5) Write the greatest two-digit square numbers as well as triangular numbers. (6) Write the next three square numbers, 36, 49, 64,…….,(7) Write the next three triangular numbers 36, 45, 55,

Answer»

(1) 36 

(2) 28 

(3) 25, 36, 49, 64 

(4) 21, 28, 36, 45, 55, 66, 78 

(5) 81, 91 

(6) 81, 100, 121 

(7) 66, 78, 91

11.

Classify the following into square numbers and triangular numbers.3, 4, 9,10,15,16; 45, 49, 64, 66, 81, 91

Answer»

Square Numbers : 4, 9,16, 49, 64, 81

Triangular Numbers : 3, 10, 15, 45, 66, 91