Question 1 :
If $P \left(-1,1\right), Q \left(3,-4\right), R \left(1,-1\right), S \left(-2,-3\right)$ and $T \left(-4,4\right)$ are plotted on the graph paper, then the points in the fourth quadrant are
Question 2 :
A pair of numerical coordinates is required to specify each point in a ......... plane.
Question 3 :
On which quadrant does $P$ lie if its ordinate is $5$ and abscissa is $-3$
Question 4 :
If the coordinates of the two points are $P \left(-2,3\right)$ and $Q\left(-3,5\right)$, then $\left(abscissa \, of\, P \right) - \left(abscissa \, of\, Q\right)$ is<br><br>
Question 6 :
Which of the following is true for the points $X$ and $Y$ if the co-ordinates of the mid-points $P$ of $\overline {XY}$ are $(-2, 3)$?
Question 7 :
State true or falseThe abscissa of two points is $0$.Line joining them is Y axis
Question 8 :
Points $(6, 8), (3, 7), (-2, -2)$ and $(1, -1)$ are joined to form a quadrilateral. What will be the structure of the quadrilateral?
Question 9 :
When two line segments meet at a point forming right angle they are said to be ..........to each other.
Question 11 :
At which one of the following times is the angle between the hands of the clock equal to one straight angle?
Question 12 :
Find the complement of the angle :$\dfrac{1}{4}$ of a right angle
Question 13 :
If two straight lines intersect the measures of the vertically opposite angles are ____
Question 14 :
Two supplementary angles are in ratio $4:5$. Find the measure of greater angle.
Question 16 :
Find n ,if $\angle A\, =\, 11n\, -\, 13^{\circ}$ and $\angle B\, =\, 7n\, +\, 39^{\circ}$,where A and B are vertically opposite angles.
Question 17 :
If an angle is eight times its complementary angle, then the measurement of the angle is:
Question 18 :
$(2p - 1, p)$ is a solution of equation $10x - 9y = 15$, find the value of $p$.
Question 19 :
Which of the following is a solution of the equation 4x + 3y = 16?
Question 20 :
One set of ordered pair which belong to a straight line represented by an equation $y = 2x - 1$ is
Question 21 :
If the difference of the squares of two numbers is 45, the square of the smaller number is 4 times the larger number, then the numbers are
Question 27 :
If $\angle{D} \cong \angle {B}$ and $\angle {B} \cong \angle {Q},$ then $\angle{D}\cong \angle{Q}$ is a  ________  property of congruence.<br/>
Question 28 :
Two sides of an acute-angled triangle are $6\ cm$ and $2\ cm$ respectively. Which one of the following represents the correct range of the third side in cm?
Question 29 :
Two triangles are .......... if two angles and included side (common to both the angles) are equal to two angles and included side (common to both angles) of the other triangle.
Question 30 :
Consider isosceles triangle $ABC$, in which $\angle ABC=\angle ACB$ ,$AB=2BC$ and $AB=8$ cm.What is the perimeter of the $\triangle ABC$?
Question 31 :
Which of the following statements is true, if $\displaystyle \Delta PQR\cong \Delta LMN$?<br/>
Question 32 :
In $\Delta ABC, A = 50^{\circ}, \angle B = 60^{\circ}$, arranging the sides of the triangle in ascending order, we get :<br>
Question 33 :
Which statement is true about the difference of any two sides of a triangle?
Question 35 :
Which is the greatest side in the following triangle?<br>$\displaystyle \angle A:\angle B:\angle C=4:5:6$
Question 36 :
If the mean of five observations $x, x + 2 , x + 4, x+ 6$ and $x + 8$ is $11$, then the mean of last three observations is
Question 37 :
The average of $9$ numbers is $8$. What should be added as $10^{th}$ number to make the average $9$?
Question 38 : <table class="wysiwyg-table"><tbody><tr><td colspan="7">CLASS INTERVAL<br></td></tr><tr><td>$0-7$<br></td><td>$7-14$<br></td><td>$14-21$<br></td><td>$21-28$<br></td><td>$28-35$<br></td><td>$35-42$<br></td><td>$42-49$<br></td></tr><tr><td colspan="7">FREQUENCY<br></td></tr><tr><td>$19$<br></td><td>$25$<br></td><td>$36$<br></td><td>$72$<br></td><td>$51$<br></td><td>$43$<br></td><td>$28$<br></td></tr></tbody></table>The arithmetic mean for the following frequency distribution is<br><br>
Question 39 :
The average of 75 numbers is calculated as 35. If each number is increased by 5, then the new average is
Question 41 :
The mean age of a combined group of men and women is $25$ years. If the mean age of the group of men is $26$ and that of the group of women is $21$, then the percentage of men and women in the group is
Question 42 :
The average score of a class of boys and girls in an examinations is A. The ratio of boys and girls in the class is 3 : 1 if the average score of the boys is (A + 1), the average score of the girls is
Question 43 :
The mean of $20$ observations is $15 .$ On checking it was found that the two observations were wrongly copied as $3$ and $6 .$ The correct values are $8$ and $4$ , then correct mean willbe given by:
Question 44 :
The numbers  $3,5,7,4 $  have frequencies  $x,x+4,x-3,x+8.$ If their arithmetic mean is $4 $, the value of  $x$  is
Question 45 :
If $G$ is the centroid of the triangle $ABC$, then area of $\Delta AGB=$<br/>
Question 46 :
If every side of a triangle is doubled, then the area of the new triangle is 'K' times the area of the old one. The value of K is<br>
Question 47 :
An isosceles right triangle has area $112.5$ sq. cm. The length of its hypotenuse (in cm) is
Question 48 :
In $\triangle ABC, AB = 6\ cm, BC = 7\ cm$ and $AC = 5\ cm$. Find the area of $\triangle ABC$
Question 49 :
Find the area of a triangle with sides having length $40, 24$ and $32 m$
Question 50 :
The side of a rhombus is $10$ cm and one diagonal is $16$ cm. The area of the rhombus is<br/>
Question 51 :
The parallel sides of a parallelogram are $40$ and $15$ m and one of the diagonals is $35$ m. Find the area of the parallelogram, if the distance between the parallel sides is $50$ m. (Use Heron's formula)<br/>
Question 52 :
The sides of a triangle are 35cm, 54cm and 61cm, respectively. The length of its longest altitude is<br/>
Question 53 :
Find the area of a rhombus with sides 20 cm and length of one of the diagonal as 28 cm.
