Question 1 :
State whether the statement is TRUE or FALSE : Sum of the ages of Anju and her mother is 65 years. If Anju’s present age is y years then her mother’s age before 5 years is (60 – y) years.
Question 2 :
Denominator of a number is 4 less than its numerator. If 6 is added to the numerator it becomes thrice the denominator. Find the fraction.
Question 3 :
Solve 10x – 5 – 7x = 5x + 15 – 8.
Question 5 :
If 3x – 4 (64 – x) = 10, then the value of x is
Question 6 :
State whether the statement is TRUE or FALSE : Equations where the expressions which form the equation contain only one variable and the highest power of the variable appearing in the equation is 1, are called linear equations in one variable.
Question 7 :
A steamer goes downstream from one point to another in 7 hours. It covers the same distance upstream in 8 hours. If the speed of stream be 2 km/hr, find the distance between the ports.
Question 8 :
Sum of the digits of a two-digit number is 11. The given number is less than the number obtained by interchanging the digits by 9. Find the number.
Question 10 :
State whether the statement is TRUE or FALSE : Shikha’s present age is p years. Reemu’s present age is 4 times the present age of Shikha. After 5 years Reemu’s age will be 15p years.
Question 11 :
What will be the 'one's digit' in the square of 52698?
Question 12 :
What is the square root of 5929? Calculate by prime factorization method.
Question 14 :
State true or false. The product of two perfect squares is a perfect square.
Question 15 :
Find the number of digits in the square root of 144 (without any calculation).
Question 18 :
What are the three numbers in the ratio 2 : 3 : 5, the sum of whose squares is 608?
Question 19 :
What could be the possible one's digit of the square root of 998001?
Question 20 :
Find the square root of 9216 by the Prime Factorisation Method.