Question 1 :
In a square ABCD, the diagonals meet at point O. Then which type of triangle $\triangle AOB$ is formed?
Question 2 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf1ef59b460d7261f11a.png' />
From the above given fig ,Find the measure of ∠P and ∠S if $\overline{SP}|| \overline{RQ}$ .
Question 3 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf7ef59b460d7261f19e.jpeg' />
Refer to the above figures. Which of these are convex polygons ?
Question 4 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf0df59b460d7261f103.png' />
RICE is a rhombus . Find x, y, z
Question 5 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d037f59b460d7261f2a5.png' />
In the above parallelogram ABCD, $\angle DCB$ =..... ?
Question 6 :
State true or false. Kite is a quadrilateral which has two pairs of equal consecutive sides.
Question 8 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf15f59b460d7261f10d.png' />
From the above figure, find the measure of angle x.
Question 9 :
Three angles of a quadrilateral are $50^{\circ}$, $40^{\circ}$ and $123^{\circ}$. What will be the value of its fourth angle?
Question 10 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d036f59b460d7261f2a4.png' />
In the above parallelogram ABCD, AD =..... ?
Question 12 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf21f59b460d7261f11f.png' />
From the above figure,find the values of the unknowns $x$, $y$, $z$.
Question 14 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cdbbf59b460d7261ef30.png' />
Is the figure given above a concave polygon?
Question 15 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf0bf59b460d7261f101.png' />
Find the perimeter of the parallelogram PQRS given above
Question 18 : Examine the table. (Each figure is divided into triangles and the sum of the angles deduced from that.)
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf0ff59b460d7261f106.png' />
What can you say about the angle sum of a convex polygon with number of sides as 8?
Question 20 :
State true or false. A quadrilateral can be constructed uniquely if its three sides and two included angles are given.
Question 21 :
Arpita’s present age is thrice of Shilpa. If Shilpa’s age three years ago was x. Then Arpita’s present age is
Question 22 :
The sum of three consecutive odd natural numbers is 69. Find the prime number out of these numbers.
Question 23 :
State whether the statement is TRUE or FALSE : In a linear equation, the highest power of the variable appearing in the equation is one.
Question 24 :
The sum of three consecutive even natural numbers is 48. Find the greatest of these numbers.
Question 25 :
After 12 years, Kanwar shall be 3 times as old as he was 4 years ago. Find his present age.
Question 26 :
State whether the statement is TRUE or FALSE : Two numbers differ by 40, when each number is increased by 8, the bigger becomes thrice the lesser number. If one number is x, then the other number is (40 – x).
Question 27 :
If a and b are positive integers, then the solution of the equation ax = b has to be always
Question 28 :
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 29 :
The sum of four consecutive integers is 266. What are the integers?
Question 30 :
The solution of which of the following equations is neither a fraction nor an integer .
Question 31 :
If x = a, then which of the following is not always true for an integer k ?
Question 32 :
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 34 :
Distance between two places A and B is 210 km. Two cars start simultaneously from A and B in opposite direction and distance between them after 3 hours is 54 km. If speed of one car is less than that of other by 8 km/hr, find the speed of each.
Question 35 :
Fifteen added to thrice a whole number gives 93. The number is
Question 36 :
State whether the statement is TRUE or FALSE : In an equation, variables can be transposed from one side of the equation to the other.
Question 37 :
Solve 4t – 3 – (3t +1) = 5t – 4.
Question 38 :
If numerator is 2 less than denominator of a rational number and when 1 is subtracted from numerator and denominator both, the rational number in its simplest form is $\frac{1}{2}$. What is the rational number?
Question 40 :
Convert the statement 'Adding 15 to 4 times x is 39 into an equation'.
Question 42 :
The solution of the equation 3x – 4 = 1 – 2x is
Question 43 :
A steamer goes downstream and covers the distance between two ports in 3 hours. It covers the same distance in 5 hours when it goes upstream. If the stream flows at 3 km/hr, then find what is the speed of the steamer upstream?
Question 44 :
State whether the statement is TRUE or FALSE : Any value of the variable which makes both sides of an equation equal is known as a solution of the equation.
Question 45 :
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 46 :
State whether the statement is TRUE or FALSE : 3 years ago, the age of a boy was y years. His age 2 years ago was (y – 2) years.
Question 48 :
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?
Question 49 :
State whether the statement is TRUE or FALSE : If $\frac{15}{8}-7x=9$, then $-7x=9+\frac{15}{8}$.
Question 50 :
The sum of two consecutive multiples of 10 is 210. The smaller multiple is
Question 53 :
State whether the statement is TRUE or FALSE : A term of an equation can be transposed to the other side by changing its sign.
Question 54 :
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 55 :
9 is subtracted from the product of p and 4, the result is 11. The value of p is
Question 56 :
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 57 :
Two equal sides of a triangle are each 4m less than three times the third side. Find the dimensions of the triangle, if its perimeter is 55m.
Question 58 :
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.
Question 60 :
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.
