class 8 (quad imp ques)

Q-1 In the following figure,FD||BC||AE and AC||ED. Find the value of x.                 

Q-2 ABCD is a trapezium such that AB||CD, ∠A : ∠D = 2 :1, ∠B : ∠C = 7 : 5. Find the angles of the trapezium.

Q-3 ABCD is a parallelogram. Find the value of x, y and z

Q-4 The adjacent angles of a parallelogram are (2x – 4)° and (3x – 1)°. Find the measures of all angles of the parallelogram.

Q-5 In a quadrilateral ABCD, ∠D is equal to 150° and ∠A = ∠B = ∠C. Find ∠A, ∠B and ∠C.

Q. 6: In quadrilaterals, 
(i) which of them have their diagonals bisecting each other?
(ii) which of them have their diagonal perpendicular to each other?
(iii) which of them have equal diagonals?

Q-7 Find the sum of all internal angle of a pentagon that is regular. 

Q-8 If an exterior angle of a regular polygon is 45°, then find the number of its sides.

Q-9 If an interior angle of a regular polygon is 162°, then find the number of its sides.

Q-10 Find the measure of an interior angle of a regular polygon having 15 sides.
 

Class 8th (linear important questions)

 Q-1 A lady went to a bank with Rs. 1,00,000. She asked the cashier to give her Rs. 500 and Rs. 1,000 currency notes in return. She got 175 currency notes in all. Find the number of each kind of currency notes

Q-2 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

Q-3 Anima left one-half of her property to her daughter, one-third to her son and donated the rest to an educational institute. If the donation was worth Rs. 1,00,000, how much money did Anima have?

Q-4 After 12 years, Kanwar shall be 3 times as old as he was 4 years ago. Find his present age

Q-5 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.

Q-6 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.

Q-7 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.

class 8th (linear and Quad )

 

Q -1 Deveshi has a total of $Rs590$ as currency notes in the denominations of $Rs50,Rs20$ and $Rs10$. The ratio of the number of $Rs50$ notes and $Rs20$ notes is $3:5$. If she has a total of $25$ notes, how many notes of each denomination she has?

Q-2  The organisers of an essay competition decide that a winner in the competition gets a prize of Rs. $100$ and a participant who does not win gets a prize of Rs. $25$. The total prize money distributed is Rs. $3000$. Find the number of winners, if the total number of participants is $63$.

Q 3 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 each of each one of them?

Q 4 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?

Q5  There is a narrow rectangular plot, reserved for a school, in Mahuli village. The length and breadth of the plot are in the ratio $11:4$. At the rate Rs. $100$ per metre it will cost the village panchayat Rs. $75000$ to fence the plot. What are the dimensions of the plot?

Q6 Half a herd of deer are grazing in the field and three fourths of the remaining are playing nearby. If the remaining 9 are drinking water from a pond ,Find the number of deer in the herd.

Q 7 Present ages of Anu and Raj are in ratio 4:5. eight years from now the ratio of their ages will be 5:6.find their present ages
Q 8 Find the angle measure x in the following figures.

(a)	(b)
(c)	(d)

Q 9 Find the measure of each exterior angle of a regular polygon of

(i) 9 sides

(ii) 15 sides

Q 10 How many sides does a regular polygon have if each of its interior angles is 165°?

Q 11 Consider the following parallelograms. Find the values of the unknowns x, y, z.

(i)	(ii)
	(iv)

Q 12 Find the measure of ∠P and ∠S, if  in the following figure

Q13 

In the above figure both RISK and CLUE are parallelograms. Find the value of x