Question 2 :
Ten years ago a father was six times as old as his daughter. After $10$ years, he will be twice as old as his daughter. Determine their present age.

Question 5 :
If the diagonals of a parallelogram are equal, then it is a ____

Question 6 :
One angle of a six-sided polygon is $\displaystyle 140^{\circ}$andthe other angles are equal. Find the measureof each equal angle.

Question 7 :
If the sum of the diagonal of a rhombus is $10\ cm$ and its perimeter is $4\sqrt{13}\ cm$, then the lengths of its diagonals are<br/>

Question 8 :
A diagonal of a rectangle is inclined to one side of the rectangle at $25^o$. Find the acute angle between the diagonals.

Question 10 :
Simplify: $\displaystyle \frac { 36ab\left( a+2 \right) \left( a+3 \right) &#160;}{ 12a\left( a+3 \right) &#160;}&#160;$

Question 11 :
Which of the following is NOT a factor of $4x^{2}y^{4}$ , $ &#160;12x^{3}y^{2}$ , $ &#160;8xy^{3}$?

Question 12 :
$\Uparrow \quad \Uparrow\quad&#160; \Uparrow \quad \Uparrow$&#160; Number represented by figure is ____, if each symbol represents 5 houses.

Question 14 :
A student represents his scores in Mathematics Statistics and Economics in a pie chart The central angle for Mathematics is&#160;$\displaystyle 120^{\circ}$ He scored $96$ in Statistics and $84$ in Economics The central angle for Statistics is?

Question 15 :
Two cards are drawn simultaneously from a well shuffled pack of $52$ cards. The expected number of aces is?

Question 19 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cec1f59b460d7261f097.jpg' /> In the above image, a rectangular park whose length is 30 m and width is 20 m is shown. There is a path of one metre width running inside along the perimeter of the park that has to be cemented. Area of cemented path = ?

Question 20 :
Using the given pattern, find the missing numbers. $1^{2}+2^{2}+2^{2}=3^{2}$ $2^{2}+3^{2}+6^{2}=7^{2}$ $3^{2}+4^{2}+12^{2}=13^{2}$ $4^{2}+5^{2}+.......^{2}=21^{2}$ $5^{2}+........^{2}+30^{2}=31^{2}$ $6^{2}+7^{2}+.......^{2}=......^{2}$