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A tree is broken at a height of 5m from the ground and its top touches the ground at a distance of 12m from the base of the tree. Find the original height of the tree.

Identify the angles that are adjacent.

If $2x^2-10x-12=(2x+m)(x+n)$, then the values of $m$ and $n$ are ____ and _____ respectively.

My age is thrice my age hence minus 3 years ago. What is my present age

Question 160(i)

For each hook-up, determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.

If $4^{2x}=\frac{1}{32},thenxis$

I have x apples. Now, my friend has six more than 3 times the number of apples I have. How many apples does my friend have?

$\frac{4}{9}÷?=\frac{-8}{15}.$

(a) $\frac{-32}{45}$

(b) $\frac{-8}{5}$

(c) $\frac{-9}{10}$

(d) $\frac{-5}{6}$

What is the angle corresponding to a straight line?

What will come in the last row of the growing pattern given below?

Question 40

State whether the following statement is true (T) or false (F).

In the equation 3x-3=9, transposing -3 to RHS, we get 3x=9.

In a class of $345$ students, the students who took English, Math and Physics are equal in number. $30$ students took English and Math, $26$ choose Math and Physics, $28$ choose Physics and English and $14$ choose all three subjects. $43$ students didn’t take any of the subjects. How many students have taken English as subject?

The following diagram shows parallel lines cut by a transversal. Which of the following statements is true?

The solution of $\frac{2x+1}{3x-1}=\frac{3}{2}$ is

Question 3 (v)

Find the product:
$\frac{3}{11}\times \frac{2}{5}$

Find the
area of each of the following triangles:

Find the sum of
$4x^2+8xy-2y^{2}and6yx+6y+9x^2?$

Arrange the following numbers in ascending order:

$1.7\times {10}^5,-1.8\times {10}^5,1.7\times {10}^{10}$

Test dimensionally if the equation $v^2=u^2$ + 2ax may be correct.

Identify the rational numbers between $\frac{1}{8}$ and $\frac{1}{2}$

$(-374)÷(-17)=$ ______.

Which of the following should be the FIRST sentence after rearrangement?

Sort the following in ascending order from top to bottom.

What is the closed shape for the given net?

Convert $\frac{121}{3}$ into mixed fraction

According to the linear pair axiom, if ray AB stands on a line PQ, then, the sum of the adjacent angles(in degrees) is __.

x-(x-y) - y-(y-x) =?

Question 12

A scooter was bought at ₹42,000.Its value depreciated at the rate of 8% per annum. Find its value after one year.

Question 81 (iv)

Imagine that, a $10\times 10$ grid has value 300 and that this value is divided evenly among the small squares. In other words, each small square is worth 3. Use a new grid for each part of this problem and label each grid "Value:300".

What is the value of $\left(\frac{1}{10}\right)$ of the grid.

Question 31

In the given figure, POQ is a line, then a is equal to

(a) ${35}^{\circ }$
(b) ${100}^{\circ }$
(c) ${80}^{\circ }$
(d) ${135}^{\circ }$

If $a<b,d<c$ and $\frac{a}{b}\times \frac{d}{c}=\frac{q}{p}$, then we have $p$$q$

Which of the Following tables accurately represents the data given below?

Height of $4$ students:

How many multiples of 7 are there between 1 to 1000?