Question 1 : Are there two irrational numbers whose sum and product both are rationals?

Question 2 : In the equation $\frac{5+2\sqrt{3}}{7+4\sqrt{3}}=a-6\sqrt{3}$, what will be the value of a?

Question 3 : What is the value of the following equation after simplifiation? $\left[5\left(8^{\frac{1}{3}}+27^{\frac{1}{3}}\right)^3\right]^{\frac{1}{4}}$

Question 4 : What is the value of the following equation after simpification? $\frac{9^{\frac{1}{3}}\times27^{-\frac{1}{2}}}{3^{\frac{1}{6}}\times3^{-\frac{2}{3}}}$

Question 9 : What is the value of p(1) for the polynomial $p(t)=2+t+2t^2-t^3$ ?

Question 11 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1b5f59b460d7261f4ad.png' /> According to the figure above, what are the coordinates of B?

Question 12 : State true or false: (–1, 7) is a point in the II quadrant.

Question 13 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d122f59b460d7261f3da.PNG' /> According to the above figure, what are the coordinates of C?

Question 14 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d12ef59b460d7261f3eb.PNG' /> In the above figure, LM is a line parallel to the y-axis at a distance of 3 units. What is the difference between the abscissa of the points L and M?

Question 15 : What will be the coordinates of a point which lies on y-axis at a distance of –7 units from x-axis?

Question 17 : If one of the angles of a triangle is $130^{\circ}$, then the angle between the bisectors of the other two angles can be __________.

Question 18 : If one angle of a triangle is equal to the sum of the other two angles, then the triangle is _________.

Question 19 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d14ef59b460d7261f419.png' /> In the above figure, OD is the bisector of $∠$AOC, OE is the bisector of $∠$BOC and OD $⊥$ OE. Hence, the points A, O and B are ______________.

Question 20 : Angles of a triangle are in the ratio 2 : 4 : 3. The smallest angle of the triangle is ___________.

Question 21 : Write True or False. The area of a triangle with base 4 cm and height 6 cm is 24 $cm^2$.

Question 22 : Find the cost of laying grass in a triangular field of sides 50 m, 65 m and 65 m at the rate of Rs 7 per $m^2$.

Question 23 : An isosceles triangle has perimeter 30 cm and each of the equal sides is 12 cm. Find the area of the triangle.

Question 24 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1c2f59b460d7261f4bf.PNG' /> Refer to the above image. A kite in the shape of a square with a diagonal 32 cm and an isosceles triangle of base 8 cm and sides 6 cm each is to be made of three different shades as shown in above figure. How much paper of shade has been used in 1 and 2 part it?

Question 25 : A field in the form of a parallelogram has sides 60 m and 40 m and one of its diagonals is 80 m long. Find the area of the parallelogram.

Question 26 : The sum of the angles of a triangle is 180º. Is it true?

Question 27 : <image= 'https://s3.ap-south-1.amazonaws.com/homeworkcontent/NCERT_9th_Maths%2F1005.JPG'> In the above figure, lines PQ and RS intersect each other at point O. If $ \angle POR $ : $ \angle ROQ$ = 5 : 7, find $ \angle POS$ (in degrees).

Question 28 : If a transversal intersects two parallel lines, then is each pair of interior angles on the same side of the transversal supplementary?

Question 29 : If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles. Is it true?

Question 30 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1d7f59b460d7261f4de.PNG' /> In the above figure, POQ is a line. Ray OR is perpendicular to line PQ. OS is another ray lying between rays OP and OR. Then, $ \angle ROS =\frac{1}{2} (\angle QOS – \angle POS)$. True or False.

Question 31 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d223f59b460d7261f54b.PNG' /> In the above image, a bar graph representing the months of the birth of 40 students in a particular section of Class IX is given. In which month were the maximum number of students born?

Question 32 : The value of $\pi$ upto 50 decimal places is : 3.14159265358979323846264338327950288419716939937510 . What is/are the least frequently occurring digit(s)?

Question 33 : The value of $\pi$ upto 50 decimal places is : 3.14159265358979323846264338327950288419716939937510 . What is/are the most frequently occurring digit(s)?

Question 34 : In a mathematics test given to 15 students, the following marks (out of 100) are recorded: 41, 39, 48, 52, 46, 62, 54, 40, 96, 52, 98, 40, 42, 52, 60 . Find the mean of this data.

Question 35 : Classify the given data as primary or secondary: number of students in our class.