Question 2 : 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 6 : State whether the statement is TRUE or FALSE : An algebraic equation is an equality involving variables.

Question 7 : If 3x – 4 (64 – x) = 10, then the value of x is

Question 8 : A man was engaged as typist for the month of February in 2009. He was paid Rs. 500 per day but Rs. 100 per day were deducted for the days he remained absent. He received Rs. 9,100 as salary for the month. For how many days did he work?

Question 9 : 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 14 : If a and b are positive integers, then the solution of the equation ax = b has to be always

Question 15 : 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 16 : The solution of the equation 3x – 4 = 1 – 2x is

Question 17 : Solve 8x – 7 – 3x = 6x – 2x – 3.

Question 18 : State whether the statement is TRUE or FALSE : Three consecutive even numbers whose sum is 156 are 51, 52 and 53.

Question 20 : The sum of three consecutive multiples of 7 is 357. Find the smallest multiple.

Question 21 : If 8x – 3 = 25 +17x, then x is a

Question 23 : 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 25 : Kaustubh had 60 flowers. He offered some flowers in a temple and found that the ratio of the number of remaining flowers to that of flowers in the beginning is 3:5. Find the number of flowers offered by him in the temple.

Question 26 : 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 27 : Divide 54 into two parts such that one part is $\frac{2}{7}$ of the other.

Question 28 : Anushka and Aarushi are friends. They have equal amount of money in their pockets. Anushka gave $\frac{1}{3}$ of her money to Aarushi as her birthday gift. Then Aarushi gave a party at a restaurant and cleared the bill by paying half of the total money with her. If the remaining money in Aarushi’s pocket is Rs.1600, find the sum gifted by Anushka.

Question 29 : 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 30 : A family spent Rs. 52.00 for circus tickets. This cost included a Rs. 3.25 service fee for the order, with the cost of the circus tickets being Rs. 9.75 each. How many tickets did the family buy?

Question 31 : An employee works in a company on a contract of 30 days on the condition that he will receive Rs. 120 for each day he works and he will be fined Rs. 10 for each day he is absent. If he receives Rs. 2300 in all, for how many days did he remain absent?

Question 32 : Solve 1 – (x – 2) – [(x – 3) – (x – 1)] = 0.

Question 33 : 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 34 : <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 36 : 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 37 : The value of x for which the expressions 3x – 4 and 2x + 1 become equal is

Question 39 : State whether the statement is TRUE or FALSE : If x is an even number, then the next even number is 2(x + 1).

Question 40 : Radha takes some flowers in a basket and visits three temples one by one. At each temple, she offers one half of the flowers from the basket. If she is left with 3 flowers at the end, find the number of flowers she had in the beginning.

Question 41 : State whether the statement is TRUE or FALSE : In a 2 digit number, the units place digit is x. If the sum of digits be 9, then the number is (10x – 9).

Question 43 : State whether the statement is TRUE or FALSE : x = –12 is the solution of the linear equation 5x –3(2x + 1) = 21 + x.

Question 44 : 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 45 : The volume of water in a tank is twice of that in the other. If we draw out 25 litres from the first and add it to the other, the volumes of the water in each tank will be the same. Find the volume of water in each tank.

Question 48 : State whether the statement is TRUE or FALSE : If $\frac{x}{3}+1=\frac{7}{15}$, then $\frac{x}{3}=\frac{6}{15}$.

Question 50 : Madhulika thought of a number, doubled it and added 20 to it. On dividing the resulting number by 25, she gets 4. What is the number?