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In the figure shown, if $BE\parallel DCand\angle EBD=\angle EBA$, then BD = ___.

Select the conjunction which best completes the sentence.

Her sons spent their summer vacations taking up odd jobs __________ saving for their school fees.

Not understood the answer of the question

If x and y are 2 digits of number 653xy wich is divisible by 80. Find x+y =

In the given figure, if ACFD and ABED are parallelograms, then which of the following statements are true?

In a class of five students, the table shows the marks obtained by 5 students in Maths, Physics and Chemistry. Find the answer of the following questions. [4 MARKS]

a) Which roll no. secured maximum marks?

b) Are there any students who scored equal marks?

c) Who got least aggregate marks?

d) How much marks were scored by roll no. 4?

$\begin{array}{cccc}\text{Roll No.}& \text{Maths}& \text{Physics}& \text{Chemistry}\\ 1& 67& 78& 67\\ 2& 57& 78& 75\\ 3& 78& 64& 72\\ 4& 84& 60& 69\\ 5& 69& 70& 73\end{array}$

Number of different values of p for which the equation $x^2-2(p+q)x+(q^2+2qp)=0$ has integral roots is $(p,qϵN,pϵ[5,10])$

1. 48

The figure below shows a circle divided into 3 equal parts. The shaded region corresponds to $\frac{2}{3}$ of the circle. If the unshaded region corresponds to $\frac{a}{3}$ of the circle. Then, the value of '$a$' is ___ .

Using the frequency distribution table given below, draw 'less than ogive'. Then from the ogive, find:

interquartile range
$\begin{array}{cc}Classinterval& Frequency\\ 10-20& 2\\ 20-30& 4\\ 30-40& 6\\ 40-50& 8\\ 50-60& 10\end{array}$

A point P(-4, 5) is reflected in line y = 3 to P'. Find the coordinates of P'.

Find the missing number

If three or more lines pass through the same point then the point is called as?

Find the mode from the following frequency distribution table

$$\begin{array}{ccccc}{x}_i& \text{10}& \text{13}& \text{16}& \text{19}\\ f_i& \text{25}& \text{15}& \text{7}& \text{26}\end{array}$$

A shopkeeper allows a discount of 10% to his customers and still gains 20%. Find the marked price of an article which costs ₹450 to the shopkeeper.

1. 600

Convert the decimal 9.6 to fraction and convert it to simplest form. The fraction that you get is

The marks obtained by 10 students in a test are 60 , 72 , 64, 56 , 52 , 71 , 54 , 62 and 59. Find the median of the marks

Question 66

Choose a letter x, y, z, p etc...., wherever necessary, for the unknown (variable) and write the corresponding expressions for the given statement:

The height of Mount Everest is 20 times the height of Empire State building.

For the following data, draw a histogram and a frequency polygon:

$\begin{array}{ccccccccccc}Marks& 0-10& 10-20& 20-30& 30-40& 40-50& 50-60& 60-70& 70-80& 80-90& 90-100\\ No.ofstudents& 5& 10& 4& 6& 7& 3& 2& 2& 3& 9\end{array}$

Question 46

Write down fifteen angles ( less than ${180}^{\circ }$ ) involved in the figure.

If number ‘a’ is increased by 35%, what is the new value equal to?

Question 180

The population of a town was 78787 in the year 1991 and 95833 in the year 2001. Estimate the increase in population by rounding off each population to nearest hundreds.

Question 3(e):

Express the following as improper fractions:

$9\frac{3}{7}$

1. 40

Question 4(ii)

Give expression for the following case.

7 subtracted from p.

The length of a rectangle is 40 cm. If its breadth is half the length, the perimeter is :

What comes just before 1000000?

__ is a mathematical phrase that containsordinary numbers, variables (like x or y) and operators (like add,subtract,multiply, and divide).

Find the perimeter of a regular octagon whose side measures l units.

A square grid is drawn over the irregular shape. Each square grid which is proper has been numbered as shown in the figure. If the area of one square is $4c{m}^2$, find the area of the irregular shape.

The temperature 26${}^{\circ }$C above 0${}^{\circ }$C and 13${}^{\circ }$C below 0${}^{\circ }$C can be represented as-

Q60. Complete the given series: 13 : 19 : : 21 : ?

The sum of adjacent angle of a parallelogram is ______ .

Question 1(b):

From the figure, identify:
Three radii

A certain company has 80 employees who are engineers and if this constitutes $40\%$ of its work force, Then the number of people employed in the company is ___

The measure of an angle is ${45}^{\circ }$. The measures of its complement and supplement are respectively ___.

In the figure below, a ray OC extends from a point O on a straight line AB. If $\angle$AOC = ${135}^{\circ }$, then $\left(\frac{\angle BOC}{3}\right)$ is equal to :

Draw a line AB. At A, draw an arc of length $3cm$ using compass such that it intersects AB at O. With the same spread of compass, put the compass pointer at O and make an arc that intersects the previous arc at P. Join A and P. Using the protractor, measure $\angle PAB$. What is the value of $\angle PAB$.

Which of the following is a quadrilateral with all equal sides?

Find the perimeter of the triangle given.

Fill in the blank with either > or <.

346872 ___ 346832