Question

(iv) 20
(111) 16
(im) (92)" - (91)
(vi) (218)? - (217)”
(11) (630)
(m) (891)
(11) (1+35+7+011+13+16 11719)
4. Without adding, find the sum:
(0) (1+3+5+7+9+11 413)
(11) (14 345+7+9+11+13+15+17+19 421 +23)
5. (1) Express 81 as the sum of 9 odd numbers.
(1) Express 100 as the sum of 10 odd numbers.
6. Write a Pythagorean triplet whose smallest member is
(1) 6
(11) 14
7. Evaluate:
(1) (38)-(37)
(1) (75) - (74)
(iv) (105) - (104)
(v) (141) - (140)
8. Using the formula (a + b)(a + 2ab +b), evaluate:
(1) (310)
(11) (508)
9. Using the formula (a - b) = (a" - 2ab + b), evaluate:
(1) (196)
(11) (689)
10. Evaluate: (1) 69 x 71 (11) 94 x 106.
11. Evaluate: (1) 88 92 (11) 78 x 82.
12. Fill in the blanks:
(1) The square of an even number is ....
(11) The square of an odd number is .....
(11) The square of a proper fraction is...... than the given fraction.
(iv) n° the sum of first n ....., natural numbers,
13 Write (T) for true and (F) for false for each of the statements given below:
(1) The number of digits in a perfect square is even.
(11) The square of a prime number is prime.
(11) The sum of two perfect squares is a perfect square,
(iv) The difference of two perfect squares is a perfect square,
(v) The product of two perfect squares is a perfect square.​

Answer 1

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