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A square of a area 5 sq.units is cut along its diagonal as four triangles and these are arranged on another square of 5 sq.units to form a larger square. Then the area of the larger square is ___.

If $△$ PNE ≅ $△$ CAR and PN = CR, then $\angle$ E =

The height of 10 students in a class are (in cm):-
135, 143, 132, 149, 150, 143, 158, 124, 143, 152
Find the mode.

Observe the pattern given below:
1, 4, 9, 16, 25, ...
The algebraic expression for $n^{th}$ term of the pattern is

Arrange the following fractions in ascending order,
fractions: $\frac{12}{16}$,$\frac{4}{9}$ and $\frac{6}{10}$

In the given figure, the measure of angle BCD is

The heights of 10 students of a class are (in cm):-

135, 143, 132, 149, 150, 143, 158, 124, 143, 152

Find the mode.

A line segment AB with a point P on it is as given in the figure.

If AP : PB = 4 : 7 and length of AP = 20 cm, Find the length of the line segment AB.

A sum of money amounts to $Rs.11910.16$ in $1\frac{1}{2}$ years at $12\%$ per annum interest being compounded semi annually. Find the sum.

Which of the following cannot be the angles of rotational symmetry for a regular polygon with odd number of sides?

The table below shows the sale of shirts of various sizes in a week.

$\begin{array}{cccccc}\text{Shirt size}& \text{38}& \text{39}& \text{40}& \text{41}& \text{42}\\ \text{Number sold}& \text{60}& \text{73}& \text{89}& \text{90}& \text{23}\end{array}$

The size which is most in demand is ___.

An angle which is equal to 90 degrees is known as ____.

Simplify: $(2^{20}÷2^{15})\times 2^3$

If x is multiplied by (-2) the result is -48. Is the integer 'x' positive or negative?

Find the value of z where
$z=\frac{5x+9y+4z}{3y+6}$; $x=1$ and $y=-1$

Which of the following figure has rotational symmetry about point X?

Question 91 (c)

In the following case, write the rational number whose numerator and denominator are respectively as under:
$35÷(-7)and35-18$

How many intersection points can a line have with a circle depending on its position?

Identify the intersecting lines

Question 153 (iii)

Observe the following figure and state the three pairs of equal parts in $\Delta ABC$ and $\Delta DBC$.
Is AC = DB? Why?

How to find the volume of tetrahedron

What number should be added to $\frac{-5}{8}$ so as to get $\frac{-3}{2}$ ?

Consider the figure of an opened die given below:

What is the value of B?

Dhruvika invested money for a period from May 2006 to April 2008 at the rate of 12 % per annum. If interest received by her is ₹ 1620, then find the money invested.

A parallelogram of area $48c{m}^2$ is divided into two congruent triangles. If the height of the triangle is 4 cm, find the length of the base of the triangle.

Find the value of $(2.5{)}^2\times (0.4{)}^2$

Question 20

Match Column I with Column II

$\begin{array}{cc}ColumnI& ColumnII\\ \left(a\right)groundwater& \left(i\right)solidformofwater\\ \left(b\right)bawri& \left(ii\right)wastageofwater\\ \left(c\right)snow& \left(iii\right)watermanagement\\ \left(d\right)dripirrigation& \left(iv\right)smallwater\\ \left(e\right)leakingtaps& \left(v\right)watertable\end{array}$

Shubham saves 0.2 part of his salary every month.if his monthly salary is rupees 5500 ,how much will he save in one year.

Find the area of the triangle formed by joining the midpoints of the sides of the triangle with coordinates A (-4, 3), B (2, 3) and C (4, 5).

The area of a parallelogram is $60c{m}^2$ and one of its altitude is 5 cm. The length of its corresponding side is ___.

Dividing by a fraction is equivalent to multiplying by__________.

Total production for two years together by unit F is what percent of the total production of two years together by unit D (rounded off to two digits after decimal)?

In the given figure, if $\angle$ ACB = $\angle$ CAD = ${90}^{\circ }$ and AB = DC, then by which postulate is $△$ ABC $\cong$ $△$ ADC ?

A boat takes‘t’ hours to cover ‘x’ km. If the boat is travelling at a uniform speed, then the time taken to cover x+5 km will be

A rectangular plot is fenced with 150 m long wire. Find the dimensions of the plot if it's length is twice its breadth.

Frame an equation for the following statement:
A number is four times another number and their difference is $12$.

In a rt. ∆ QPR, PM is an altitude. Given that QR = 8 cm & MQ = 3.5 cm, calculate the value of PR.

…, 4, 3, 2, 1

What order are the above numbers arranged in?

___ (ascending/descending)

How is the pre-image(A) related to the image(A')?

Triangle ABC is constructed with AB = 4 cm, ∠CAB = ${45}^0$ and BC = 2.92 cm. Two perpendicular bisectors are drawn of side AB and BC intersecting at point O. The length of OA is: