M.M: 47 marks Date: 28/06/2011
Time:1 and a half hour
Q 1: Fill in the blanks (1 mark per question x 21 = 21marks)
- Area of a square of side “a” cm = _____________
- 1, 4, 9, 16, 25…… are ____________ numbers.
- Between “n2” and (n+1)2, there are ____________ numbers.
- When a square number ends in 6, the number whose square it is will have either ______ or ______ in unit’s place.
- Square numbers always have __________ number of zeroes at the end.
- The number of non square numbers between 982 and 992 are _________
- The sum of first n odd natural numbers is __________.
- If a natural number cannot be expressed as a sum of successive _________ natural numbers starting with ______, then it is not a perfect square.
- Square of any odd number can be expressed as sum of two ______________ positive integers.
- (a5)2 = ____________ hundred + 25.
- 2m, __________ and ____________ forms a Pythagorean triplet.
- Finding _______ __________ is the inverse operation of squaring.
- Square roots of 441 are _____ and ______.
- Positive square root of a number is denoted by _____________.
- The prime factorisation of 324 is __________________.
- The smallest three digit perfect square number is __________.
- The greatest three digit perfect square number is __________.
- If a perfect square is of n digits, then its square root will have _______ digits if n is even or __________ digits, if n is odd.
- The number of digits in the square root of 14,400 is ________.
- Square root of 1000000 = _________.
- The estimated square root of 500 is _____.
Q 2: There are 700 children in a school. For a P.T drill, they have to stand in such a way that the number of rows is equal to number of columns. How many children would be left out in this arrangement? (2 marks)
Q 3: In a right angle triangle ABC, angle B = 90 degree. If AC = 26 cm, BC = 24 cm, find AB. (2 marks)
Q 4: Find the least number that must be added to 6412 to get a perfect square. Also find the square root of the perfect square so obtained. (2 marks)
Q 5: Find the least number which must be subtracted from 4000 to get a perfect square. Also find the square root of the perfect square so obtained. (2 marks)
Q 6: Find the square root of 51.84 (2 marks)
Q 7: Find the square root of 7921 by Division method. (2 marks)
Q 8: Find the square root of 196 by the method of Repeated Subtraction. (2 marks)
Q 9: Find square root of 9604 by Prime Factorisation Method. (2 marks)
Q 10: For the given number, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also find the square root of the square number so obtained.
(2 marks)
(a). 2028
Q 11: 2304 plants are to be planted in a garden in such a manner that each row contains as many plants as the number of rows. Find the number of rows and the number of plants in each row. (3 marks)
Q 12: Find the smallest square number which is divisible by each of the numbers 4, 6 and 10. (3 marks)
Q 13: Write a Pythagorean triplet whose one number is 20. (2 marks)
Q 14: Observe the following pattern and supply the missing numbers. (2 marks)
112 = 121
1012 = 10201
101012 = 102030201
10101012 = ____________
____________ = 10203040504030201