Question 1 :
The shifting of a number from one side of an equation to other is called
Question 2 :
State whether the statement is TRUE or FALSE : x = –12 is the solution of the linear equation 5x –3(2x + 1) = 21 + x.
Question 3 :
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 4 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cd48f59b460d7261ee95.png' />
In the above figure, for what value of x is the perimeter of shape 77 cm?
Question 6 :
The perimeter of a rectangle is 240 cm. If its length is increased by 10% and its breadth is decreased by 20%, we get the same perimeter. Find the length and breadth of the rectangle.
Question 7 :
State whether the statement is TRUE or FALSE : In an equation the values of the expressions on the LHS and RHS are equal for certain values of the variables.
Question 8 :
The sum of four consecutive integers is 266. What are the integers?
Question 10 :
State whether the statement is TRUE or FALSE : If $\frac{x}{11}=15$, then $x=\frac{11}{15}$.
Question 11 :
The solution of the equation ax + b = 0 is
Question 13 :
If 8x – 3 = 25 +17x, then x is a
Question 14 :
State whether the statement is TRUE or FALSE : In the equation 3x – 3 = 9, transposing –3 to RHS, we get 3x = 9.
Question 17 :
The solution of the equation 3x – 4 = 1 – 2x is
Question 18 :
Distance between two stations A and B is 690 km. Two cars start simultaneously from A and B towards each other, and the distance between them after 6 hours is 30 km. If the speed of one car is less than the other by 10 km/hr, find the speed of each car.
Question 20 :
The sum of three consecutive numbers is 156. Find the number which is a multiple of 13 out of these numbers.
Question 21 :
State whether the statement is TRUE or FALSE : A term of an equation can be transposed to the other side by changing its sign.
Question 22 :
There are 40 passengers in a bus, some with Rs. 3 tickets and remaining with Rs.10 tickets. The total collection from these passengers is Rs. 295. Find how many passengers have tickets worth Rs. 3?
Question 23 :
After 18 years, Swarnim will be 4 times as old as he is now. His present age is
Question 24 :
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 25 :
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 26 :
When a number is divided by 8, the result is –3. The number is
Question 28 :
If $\frac{1}{2}$ is subtracted from a number and the difference is multiplied by 4, the result is 5. What is the number?
Question 29 :
The age of A is five years more than that of B. 5 years ago, the ratio of their ages was 3:2. Find their present ages.
Question 31 :
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 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 35 :
State whether the statement is TRUE or FALSE : If the sum of two consecutive numbers is 93 and one of them is x, then the other number is 93–x.
Question 36 :
Rs. 13500 are to be distributed among Salma, Kiran and Jenifer in such a way that Salma gets Rs. 1000 more than Kiran and Jenifer gets Rs. 500 more than Kiran. Find the money received by Jenifer.
Question 37 :
A steamer goes downstream and covers the distance between two ports in 5 hours while it covers the same distance upstream in 6 hours. If the speed of the stream is 1 km/hr, find the speed of the steamer in still water.
Question 39 :
State whether the statement is TRUE or FALSE : In the equation 2x = 4 – x, transposing –x to LHS, we get x = 4.
Question 40 :
Divide 54 into two parts such that one part is $\frac{2}{7}$ of the other.
Question 41 :
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 42 :
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 44 :
The sum of two consecutive multiples of 10 is 210. The smaller multiple is
Question 47 :
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 48 :
Kusum buys some chocolates at the rate of Rs. 10 per chocolate. She also buys an equal number of candies at the rate of Rs. 5 per candy. She makes a 20% profit on chocolates and 8% profit on candies. At the end of the day, all chocolates and candies are sold out and her profit is Rs. 240. Find the number of chocolates purchased.
Question 49 :
If $\frac{5x}{3}-4=\frac{2x}{5}$, then the numerical value of 2x – 7 is
Question 50 :
The sum of three consecutive even natural numbers is 48. Find the greatest of these numbers.
