Question 1 :
Amina thinks of a number and subtracts $\frac{5}{2}$ from it. She multiplies the result by 8. The result now obtained is 3 times the same number she thought of. What is the number?
Question 2 :
2x + 39 is an example of single variable expression. Is it TRUE or FALSE ?
Question 7 :
Three consecutive integers are such that when they are taken in increasing order and multiplied by 2, 3 and 4 respectively, they add up to 74. Find these numbers.
Question 8 :
The sum of three consecutive multiples of 11 is 363. Find these multiples of 11.
Question 9 :
Baichung’s father is 26 years younger than Baichung’s grandfather and 29 years older than Baichung. The sum of the ages of all the three is 135 years. What is the age of Baichung?
Question 11 :
One of the two digits of a two digit number is three times the other digit. If you interchange the digits of this two-digit number and add the resulting number to the original number, you get 88. What is the original number?
Question 12 :
Three consecutive integers add up to 51. What are these integers?
Question 13 :
What is the length of a rectangle if its perimeter and width are 13cm and $2\frac{3}{4}$ cm rspectively?
Question 14 :
Bansi has 3 times as many two-rupee coins as he has five-rupee coins. If he has in all a sum of Rs.77, how many coins of two-rupee denomination does he have?
Question 15 :
The perimeter of a rectangular swimming pool is 154 m. Its length is 2 m more than twice its breadth. What is the breadth of the pool?
Question 16 :
Present ages of Anu and Raj are in the ratio 4:5. Eight years from now the ratio of their ages will be 5:6. Find Anu's present age.
Question 19 :
Shobo’s mother’s present age is six times Shobo’s present age. Shobo’s age five years from now will be one third of his mother’s present age. What is Shobo's mother present age?
Question 24 :
The difference between two whole numbers is 66. The ratio of the two numbers is 2 : 5. What are the two numbers?
Question 25 :
Hasan buys two kinds of cloth materials for school uniforms, shirt material that costs him Rs.50 per metre and trouser material that costs him Rs.90 per metre.For every 3 meters of the shirt material he buys 2 metres of the trouser material. He sells the materials at 12% and 10% profit respectively. His total sale is Rs. 36,600.How much trouser material did he buy?
Question 26 :
2x + 3y is an example of single variable expression. Is it TRUE or FALSE ?
Question 27 :
Sum of two numbers is 95. If one exceeds the other by 15, find the numbers.
Question 28 :
An algebraic equation is an equality involving variables. It says that the value of the expression on one side of the equality sign is equal to the value of the expression on the other side.Is it TRUE or FALSE?
Question 29 :
In an equation the values of the expressions on the LHS and RHS are _______.
Question 33 :
Baichung’s father is 26 years younger than Baichung’s grandfather and 29 years older than Baichung. The sum of the ages of all the three is 135 years. What is the age of Baichung's father?
Question 37 :
Deveshi has a total of Rs.590 as currency notes in the denominations of Rs.50, Rs. 20 and Rs.10. The ratio of the number of Rs.50 notes and Rs.20 notes is 3:5. If she has a total of 25 notes, how many notes of Rs 50 denomination she has?
Question 39 :
The present age of Sahil's mother is 3 times the present age of Sahil. After 5 years their ages will add to 66 years. Find the present age of Sahil.
Question 41 :
The digits of a two-digit number differ by 3. If the digits are interchanged, and the resulting number is added to the original number, we get 143. What can be the original number?
Question 43 :
Sum of the digits of a two-digit number is 9. When we interchange the digits, it is found that the resulting new number is greater than the original number by 27. What is the two-digit number?
Question 44 :
The utility of linear equations is in their diverse applications; different problems on numbers, ages, perimeters, combination of currency notes, and so on can be solved using linear equations. Is it TRUE or FALSE?
Question 45 :
A rational number is such that when you multiply it by $\frac{5}{2}$ and add $\frac{2}{3}$ to the product,you get $-\frac{7}{12}$. What is the number?
Question 46 :
Solve: $15(y – 4) –2(y – 9) + 5(y + 6) = 0$
Question 47 :
The ages of Hari and Harry are in the ratio 5:7. Four years from now the ratio of their ages will be 3:4. Find Harry's present age.
Question 49 :
Shobo’s mother’s present age is six times Shobo’s present age. Shobo’s age five years from now will be one third of his mother’s present age. What is Shobo's present age?
Question 50 :
Bansi has 3 times as many two-rupee coins as he has five-rupee coins. If he has in all a sum of 77, how many coins of five-rupee denomination does he have?
