Question 1 :
Sides of a triangle are in the ratio of 12 : 17 : 25 and its perimeter is 540cm. Find its area.
Question 2 :
A field is in the shape of a trapezium having parallel sides 90 m and 30 m. These sides meet the third side at right angles. The length of the fourth side is 100 m. If it costs Rs 4 to plough 1$m^2$of the field, find the total cost of ploughing the field.
Question 3 :
The sides of a triangle are 35 cm, 54 cm and 61 cm, respectively. Find the length of its longest altitude.
Question 5 :
How will be $0.\overline{001}$ represented in the form of $\frac{p}{q}$, where p and q are integers and $q\ne0$?
Question 7 :
A lead pencil consists of a cylinder of wood with a solid cylinder of graphite filled in the interior. The diameter of the pencil is 7 mm and the diameter of the graphite is 1 mm. If the length of the pencil is 14 cm, find the volume of the graphite .
Question 8 :
The diameter of the moon is approximately one fourth of the diameter of the earth. Find the ratio of their surface areas.
Question 9 :
The capacity of a closed cylindrical vessel of height 1 m is 15.4 litres. How many square metres of metal sheet would be needed to make it?
Question 10 :
At what point does the graph of the linear equation x + y = 5 meet a line which is parallel to the y-axis, at a distance 2 units from the origin and in the positive direction of x-axis ?
Question 11 :
The linear equation that converts Fahrenheit (F) to Celsius (C) is given by the relation $C = \frac {5F - 160}{9}$ . If the temperature is 0°C what is the temperature in Fahrenheit ?
Question 12 :
How many solution(s) of the equation 2x + 1 = x – 3 are there on the number line ?
Question 13 :
Angles of a triangle are in the ratio 2 : 4 : 3. The smallest angle of the triangle is ___________.
Question 14 :
Bisectors of interior $∠$B and exterior $∠$ACD of a $∆$ABC intersect at the point T. Find the relation between $ \angle BTC$ and $\angle BAC $.
Question 15 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d14cf59b460d7261f416.png' />
In the above figure, for what value of x + y will ABC be a line?