Question 1 :
Solve 4t – 3 – (3t +1) = 5t – 4.
Question 3 :
Arpita’s present age is thrice of Shilpa. If Shilpa’s age three years ago was x. Then Arpita’s present age is
Question 4 :
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 5 :
The sum of two consecutive multiples of 10 is 210. The smaller multiple is
Question 9 :
Solve 8x – 7 – 3x = 6x – 2x – 3.
Question 10 :
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 13 :
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 14 :
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 16 :
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 18 :
The sum of three consecutive numbers is 156. Find the number which is a multiple of 13 out of these numbers.
Question 19 :
The sum of three consecutive odd natural numbers is 69. Find the prime number out of these numbers.
Question 20 :
The value of x for which the expressions 3x – 4 and 2x + 1 become equal is
Question 21 : <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 22 :
Divide 54 into two parts such that one part is $\frac{2}{7}$ of the other.
Question 25 :
The solution of the equation ax + b = 0 is
Question 26 :
Find a number whose fifth part increased by 30 is equal to its fourth part decreased by 30.
Question 28 :
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 30 :
If x = a, then which of the following is not always true for an integer k ?
Question 31 :
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 32 :
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 33 : <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 34 :
State whether the statement is TRUE or FALSE : In the equation 2x = 4 – x, transposing –x to LHS, we get x = 4.
Question 35 :
State whether the statement is TRUE or FALSE : The number of boys and girls in a class are in the ratio 5:4. If the number of boys is 9 more than the number of girls, then number of boys is 9.
Question 37 :
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 38 :
State whether the statement is TRUE or FALSE : If $\frac{15}{8}-7x=9$, then $-7x=9+\frac{15}{8}$.
Question 39 :
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 40 :
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 41 :
State whether the statement is TRUE or FALSE : If x is an even number, then the next even number is 2(x + 1).
Question 42 :
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 43 :
The solution of which of the following equations is neither a fraction nor an integer .
Question 44 :
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 45 :
After 18 years, Swarnim will be 4 times as old as he is now. His present age is
Question 47 :
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 50 :
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?
