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Complete the following diagrams by drawing the mirror images. [4 MARKS]

(i) (ii) (iii) (iv)

In the given figure, if AB || CD, then p + q + r + s + t = ___

In standard form $21600000$ is written as___________.

An exterior angle of a triangle is 105^o and its two interior opposite angles are equal. Each of these equal interior angles are

Find the value of $\frac{100}{10000}$.

Question 58 (i)

Subtract:

$4.5x^5-3.4x^2+5.7$ from $5x^4-3.2x^2-7.3x.$

What should be added to $\frac{7}{12}\text{to get}\frac{-4}{15}$ ?

(a) $\frac{17}{20}$

(b) $\frac{-17}{20}$

(c) $\frac{7}{20}$

(d) $\frac{-7}{20}$

If we consider the angle made between the hour hand and the minute hand, which of the following time stamps make an acute angle?

In 2010-11, $80\%$ of the students graduated to High School from Upper Primary School. The number of teachers that is to be added, in percentage terms, to the High Schools in order to keep the Teacher Pupil Ratio same as that of Upper Primary School is?

Table carefully and answer the questions that follow.

Note: Teacher Pupil Ratio = ‘n’ implies that there is 1 teacher for every ‘n’ students on an average

Prakash spends 20% of his monthly income on scooter petrol, 1/5 of the salary on house rent and the balance on food. If he spends Rs.400 on petrol, then what is the expenditure on food?

The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot Rs.26.50 per metre is Rs. 5300, what is the length of the plot in metres?

Read the graph carefully and answer the question.

How many students play games other than Soccer, Softball and Basketball?

One day Rashi travelled 6 km whereas Soham travelled only 5000m. What will be the ratio of their distances travelled?
[2 MARKS]

Find the area of the parallelogram whose side is 3m with an altitude of \(\frac{3}{8} m\). Express your answer up to 3 decimals. [2 MARKS]

The demand for different shirt sizes,as obtained by a survey,is given below:

$\begin{array}{cccccccc}\text{Size}& 38& 39& 40& 41& 42& 43& 44\\ \text{Number of persons (wearing it)}& 26& 36& 20& 38& 13& 7& 5\end{array}$

Find the modal shirt sizes,as observed from the survey.

1. 29.4

In geometry we study about

30 $\frac{m}{s}$ = ___ km/h

Value of 2xy when x = 4 and y = 0 is ___

Match each of the entries in Column I with the appropriate entries in Column II.
$\begin{array}{ccc}& & \\ \text{Column I}& & \text{Column II}\\ \text{Amount when principal = Rs.150}& \text{L.}& 0.125\\ \text{rate of Interest = 6}\%\text{per annum and period = 1yr}& & \\ & \text{M.}& 3:2\\ & \text{N.}& \text{Rs.}164\\ & \text{O.}& 3:3\\ & & \end{array}$

Question 83 (iii)

Multiply the following :

$15x{y}^2,17y{z}^2$

Question 49

If $\Delta ABC$ and $\Delta DBC$ are on the same base BC, AB = DC and AC = DB as shown in the figure, then which of the following gives a congruence relationship?

a) $\Delta ABC\cong \Delta DBC$
b) $\Delta ABC\cong \Delta CBD$
c) $\Delta ABC\cong \Delta DCB$
d) $\Delta ABC\cong \Delta BCD$

Find the value of 2 + 2 $÷$ 2.

Question 27

Fill in the blanks to make the statement true.

If $(x^{2}y+y^2+3)$ is subtracted from $(3x^{2}y+2y^2+5)$, then coefficient of y in the result is___.

Find the median:

31, 35, 45, 48, 52, 56, 66, 69, 70, 71

The highest common factor of two prime numbers is ___ .

In the figure below, lines AB and CD intersect each other at point O. The angle pairs $(\angle AOD,\angle COB)and\angle AOC,$

$\angle BOD)$ are called ___.

How many lines of symmetry does this figure have if all the sides are equal?

1. 4

Huma, hubna and seema recived a total of rupees 2016 as monthly allowenve from their mother such that seema gets 1/2 of what huma gets and hubna gets 5/3 times seema’s share. how much money do each the three sisters get individually

Mr. Mukharjee gave 5/14 of his money to his son, 2/3 of the remainder to his daughter and rest to his wife. If his wife got Rs. 36000/-, what was the total amount?

The area of the following parallelogram is ______.

How to construct a equation?

An isosceles triangle has perimeter 36 cm If each of the equal sides is 10 cm, then the area of the triangle is _______________${\text{cm}}^2$

A pie chart shows that $80\%$ of the people like apple. If a total of 30 people were surveyed about their favourite fruit, find the number of people who chose apple as their favourite fruit?

The table shows the typical daily temperature of a city in the last 5 months. Which month has the median temperature?
$\begin{array}{cc}\text{Month}& \text{Temperature}{(}^{\circ }C)\\ \text{January}& 38\\ \text{February}& 48\\ \text{March}& 40\\ \text{April}& 46\\ \text{May}& 43\end{array}$

Which of the following pairs of rational numbers are smaller than -5?

$35$% of 80 is :

What is the sum of the coefficients of all the terms in the given expression: $\frac{6x}{y}-(x+1)\left(y\right)$?

The odometer of a car reads 350 km when the clock shows the time 12:30 pm. What is the distance moved by car, if at 1 pm, the odometer reading has changed to 500 km? Calculate the speed of the car in km/min during this time. Express the speed in km/hr. [5 MARKS]

On Diwali, Ted’s mom made a colorful rangoli as shown in the figure. The bigger square measured 30 cm by 30 cm and the smaller square measured 15 cm by 15 cm. What was the area of the orange colored part?

If Mohan's income is $25\%$ more than Raman's income, then Raman's income is less than Mohan's income by

(a) $25\%$
(b) $80\%$
(c) $20\%$
(d) $75\%$

Question 83(ii)
Observe the following data:
$\begin{array}{ccc}& & \\ & \text{Government School, Chandpur}& \\ \text{Daily attendance}& & \text{Date: 15.04.2009}\\ \text{Class}& \text{Total students}& \text{Number of students}\\ & & \text{present on that day}\\ \text{VI}& \text{90}& \text{81}\\ \text{VII}& \text{82}& \text{76}\\ \text{VIII}& \text{95}& \text{91}\\ \text{IX}& \text{70}& \text{65}\\ \text{X}& \text{63}& \text{62}\end{array}$
Which class has the maximum number of students?

Replace the blank with an integer.

___ $\times$ (-13) = -143