Question 1 :
State true or false: Signs of the coordinates of a point in the first quadrant are (+, +), in the second quadrant (–, +), in the third quadrant (–, –) and in the fourth quadrant (+, –).
Question 2 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d126f59b460d7261f3df.PNG' />
In the above figure, coordinates of P are
Question 3 :
State whether the given statement is true or false:- Chords equidistant from the centre of a circle are equal in length.
Question 4 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1aaf59b460d7261f49e.png' />
In the above fig, A, B, C and D are four points on a circle. AC and BD intersect at a point E such that ∠ BEC = 130° and ∠ ECD = 20°. Find ∠ BAC.
Question 5 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1bff59b460d7261f4bc.PNG' />
Refer to the above image. Radha made a picture of an aeroplane with coloured paper as shown in figure above. Find the total area of the paper used.
Question 7 :
A traffic signal board, indicating ‘SCHOOL AHEAD’, is an equilateral triangle. Find the area of the signal board, using Heron’s formula if its perimeter is 180 cm?
Question 8 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d14bf59b460d7261f414.png' />
In the picture given above, POQ is a line. The value of x is ________.
Question 9 :
The zero of the polynomial p(x) = 3x – 2 is-
Question 10 :
Possible expressions for the length and breadth of rectangle having Area :$ 25a^2 – 35a + 12$ are-
Question 11 :
What is the value of p(2) for the polynomial $p(t)=2+t+2t^2-t^3$ ?
Question 14 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d212f59b460d7261f533.PNG' />
ABCD is a parallelogram shown in the above fig and AP and CQ are perpendiculars from vertices A and C on diagonal BD. Is AP = CQ ?
Question 15 :
ABCD is a parallelogram. If its diagonals are equal, then find the value of $\angle ABC$.
Question 16 :
It is required to make a closed cylindrical tank of height 1 m and base diameter 140 cm from a metal sheet. How many square metres of the sheet are required for the same?Assume $\pi$ =$\frac{22}{7}$.
Question 17 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d269f59b460d7261f5ab.PNG' />
In the above fig, ∆ ABC and ∆ DBC are two isosceles triangles on the same base BC and vertices A and D are on the same side of BC. If AD is extended to intersect BC at P, is ∆ ABP≅ ∆ ACP?
Question 18 :
Which of the following is not a criterion for congruence of triangles?
Question 19 :
'Two triangles are congruent if two angles and the included side of one triangle are equal to two angles and the included side of other triangle.' Which congruence rule is this?
Question 20 :
Is it possible to construct a triangle with lengths of its sides as 4 cm, 3 cm and 7 cm?
Question 21 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1c7f59b460d7261f4c6.PNG' />
What is the equation of the graph in the above image?
Question 22 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1cff59b460d7261f4d1.png' />
In the above image, the geometric representation of y = 3 as an equation in ____ is given. Fill in the blank.
Question 23 :
Write x-4 = $\sqrt{3}y$ equation in the form ax + by + c = 0 and indicate the values of a, b and c in it respectively.
Question 24 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1d0f59b460d7261f4d3.png' />
In the above figure , ray OS stands on a line POQ. Ray OR and ray OT are angle bisectors of $\angle POS$ and $\angle SOQ$, respectively. If $\angle POS = x$, find $\angle ROT$ (in degrees).
Question 25 :
If a ray stands on a line, then the sum of two adjacent angles so formed is
Question 26 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1ad978c526e972caf08d.PNG' />
In the above fig, if $PQ \parallel ST$, $\angle PQR = 110^{\circ}$ and $\angle RST = 130^{\circ}$, find $\angle QRS$.
Question 27 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1d5f59b460d7261f4da.png' />
In the above fig, if $QT \perp PR$, $\angle TQR = 40^{\circ}$ and $\angle SPR = 30^{\circ}$, find $y$.
Question 28 :
Let x and y be rational and irrational numbers, respectively. Is x + y necessarily an
irrational number?
