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1. A tin holds 16½ liters of oil. How many such tins would be required to hold 313½ liters of oil?
2. The perimeter of a rectangle is 18 3/4 meters. If the length of the rectangle is twice the breadth, find the area of the rectangle.
3. Find nine rational numbers between 1/6 and 1/5.
4. The perimeter of a square is 18.4 meters. Find its area.
5. Express the following in power notation:-
(i)
(ii)
6. Evaluate the following:-
(i)
(ii)
7. Simplify:-
(i)
(ii)
(iii)
8. Find the smallest number by which each of the following is to be divided to make it a perfect square:
(i) 243
(ii) 512
(iii) 756
(iv) 3675
9. Without actual multiplication, evaluate the following:-
(i) 25² - 24²
(ii) 63² - 62²
(iii) 421² - 420²
(iv) 931² - 930²
10. Find the square roots of the following numbers:-
(i) 571536
(ii) 11025
(iii) 28224
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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