সাধারন গনিত সৃজনশীল প্রশ্ন Class 6 ( Chapter - 5, 4.3)

         

                              
                      
                        Chapter - 5

1.      The total age of Ajmal and Shofiq is 35 years. The age of Ajmal is 5 years more than the age of Shofiq.

a)     If Ajmal’s age is x years, what is the age of Shofiq?

b)     Express the above problem in equation.

c)     Find out the age of Ajmal and Shofiq.

2.      In a cricket game Nasir scored 3 times more than Mushfiq. If both scored 10 more runs, then some of their total runs would be 104.

a)     If Nasir scored y runs, then express the runs of Mushfiq through y.

b)     Form an equation on the basis of the above information.

c)     What was the number of runs scored by Nasir and Mushfiq?

3.      Summation of three consecutive odd natural number is 33.

a)     If the 1^st number is (2x + 1), what is the third number?

b)     Find out the three numbers.

c)     If the third number is found by subtracting the second number from the two time of the unknown number, what is the unknown number?

4.      The difference of 5 times a number and two time of a number is 10 more large than the number.

a)     If the number is x, form the equation.

b)     Find the number.

c)     Determine the value of y, if the obtained number is equal to the subtraction of y from 6 times of y.

5.      The length of the floor of poultry farm is 3 times of its breadth. The perimeter of the floor is 45 meter.

a)     Form an equation on the basis of the above information.

b)     Find out the length of the floor.

c)     If a hen takes 5 sq. meter of the floor, how many hen will be kept in that farm?

6.        times of a number is equal to  times of that number when 4 is added to that number.

a)     If the number is x, then express the above information through an equation.

b)     Determine the number.

c)     Justify the obtained root whether it is correct or not, if half of the obtained root is y, then find out y.

7.       is a simple equation with the variable y.

a)     If the variable y indicates any number, describe the equation.

b)     Find out the number.

c)     Verify the correction of the solution of the mentioned equation.

8.      The total age of Jamal Sheikh and Karim is 80 years. Before 10 years, age of Jamal Sheikh was three times of Karim.

a)     Write the unknown data.

b)     Express the given information in an equation.

c)     What is the total age of them?

9.      The sum of the present ages of the father and son is 97 years. The age of father’s is 5 years more than 3 times of the age of son.

a)     Form an equation using the given information.

b)     Determine the present age of father.

c)     Find out what will be the age of father and son after 5 years.

10.  and  are two algebraic equations.

a)     What is the coefficient of 7x?

b)     Solve the first equation.

c)     Show that the root of the two equation are same.

11. The number of trees in second garden is twice than the 1^st garden. The number of trees in the 3^rd garden is thrice than the 2^nd garden. If total number of the tree is 900 then :

a)     Guess the number of trees in the 1^st garden.

b)     Create an equation on the basis of ‘a’.

c)     How many trees are there in the three gardens?

                      Chapter – 4.3

12. .(a+b)³  and a³+3a²b+3ab² +b³ are two algebraic expressions:

a)     How much is the highest index of  a in the second expression?

b)     If a=1 and b=2, then find the value of first expression.

c)     If a=2 and b=1, then show that the value of the above mentioned two expressions are equal.

13. 5(m+n)-6(n+a) + 7(a+m) is an algebraic data.

a)     What is the coefficient of (a+m)?

b)     Simplify the above data.

c)     What is the multiplication of 5(m+n) and 6(n+a)?

14. Observe the following algebraic expressions.

4x² -5xy +6y², -4xy+9y² – 6x² , 6y²+xy + 3xy    

a)     Write down a term similar to -5x3y2

b)     Find the sum of the expressions 1, 2, and 3.

c)     If x=2 and y=3, then find the subtraction of expressions 2 from 1.