Question 1 :
After 12 years, Kanwar shall be 3 times as old as he was 4 years ago. Find his present age.
Question 2 :
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 4 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cd48f59b460d7261ee94.png' />
In the above figure, for what value of x is the perimeter of shape 186 cm?
Question 5 :
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 6 :
The sum of three consecutive even natural numbers is 48. Find the greatest of these numbers.
Question 7 :
The solution of the equation ax + b = 0 is
Question 9 :
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 10 :
If 8x – 3 = 25 +17x, then x is a
Question 11 :
Solve 8x – 7 – 3x = 6x – 2x – 3.
Question 12 :
State whether the statement is TRUE or FALSE : An algebraic equation is an equality involving variables.
Question 13 :
State whether the statement is TRUE or FALSE : In the equation 2x = 4 – x, transposing –x to LHS, we get x = 4.
Question 14 :
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 16 :
State whether the statement is TRUE or FALSE : x = –12 is the solution of the linear equation 5x –3(2x + 1) = 21 + x.
Question 18 :
In a two digit number, digit in units place is twice the digit in tens place. If 27 is added to it, digits are reversed. Find the number.
Question 19 :
Solve 4t – 3 – (3t +1) = 5t – 4.
Question 20 :
State whether the statement is TRUE or FALSE : Two different equations can never have the same answer.
Question 21 :
On dividing Rs. 200 between A and B such that twice of A’s share is less than 3 times B’s share by 200, A’s share is?
Question 22 :
Arpita’s present age is thrice of Shilpa. If Shilpa’s age three years ago was x. Then Arpita’s present age is
Question 23 :
Fifteen added to thrice a whole number gives 93. The number is
Question 24 :
If a and b are positive integers, then the solution of the equation ax = b has to be always
Question 26 :
The shifting of a number from one side of an equation to other is called
Question 30 :
State whether the statement is TRUE or FALSE : Any value of the variable which makes both sides of an equation equal is known as a solution of the equation.
Question 31 :
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 speed of the steamer in still water.
Question 32 :
Hamid has three boxes of different fruits. Box A weighs $2\frac{1}{2}$ kg more than Box B and Box C weighs $10\frac{1}{4}$ kg more than Box B. The total weight of the three boxes is $48\frac{3}{4}$ kg. How many kilograms (kg) does Box A weigh?
Question 33 :
State whether the statement is TRUE or FALSE : If x is an even number, then the next even number is 2(x + 1).
Question 34 :
When a number is divided by 8, the result is –3. The number is
Question 35 :
A carpenter charged Rs. 2500 for making a bed. The cost of materials used is Rs. 1100 and the labour charges are Rs. 200/hr. For how many hours did the carpenter work?
Question 36 :
If x = a, then which of the following is not always true for an integer k ?
Question 38 :
State whether the statement is TRUE or FALSE : A and B are together 90 years old. Five years ago A was thrice as old as B was. Hence, the ages of A and B five years back would be (x – 5) years and (85 – x) years respectively.
Question 39 :
If $\frac{5x}{3}-4=\frac{2x}{5}$, then the numerical value of 2x – 7 is
Question 42 :
The sum of two consecutive multiples of 10 is 210. The smaller multiple is
Question 43 :
Anima left one-half of her property to her daughter, one-third to her son and donated the rest to an educational institute. If the donation was worth Rs. 1,00,000, how much money did Anima have?
Question 45 :
The present age of father is four times the age of his son. After 10 years, age of father will become three times the age of his son. Find their present ages.
Question 46 :
Find a number whose fifth part increased by 30 is equal to its fourth part decreased by 30.
Question 49 :
A steamer goes downstream and covers the distance between two ports in 3 hours. It covers the same distance in 5 hours when it goes upstream. If the stream flows at 3 km/hr, then find what is the speed of the steamer upstream?
