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ABCD is a rectangle having length 30 cm and breadth 25 cm. P, Q, R and S are the midpoints of AB, BC, CD and AD respectively. What is the area of the shaded part?

Question 63

How much does $93p^2-55p+4$ exceed $13p^3-5p^2+17p-90?$

Question 1(b)
Evaluate the following
50 $÷$ (- 5)

Question 2 (iii)

Add:

-7mn + 5, 12mn + 2, 9mn - 8, -2mn - 3

The normal form of $12.45\times {10}^3$ is __

What is mean by trial and error method

1. 50

Question 7

The value of $\frac{{10}^{22}+{10}^{20}}{{10}^{20}}$ is
(a) 10
(b) ${10}^{42}$
(c) 101
(d) ${10}^{22}$

Question 80

State whether the statement is True or False.

It is possible to have a triangle in which two angles are acute.

The point of intersection of the altitudes is called _______.

Question 61

State whether the statement is True or False.

All parallelograms having equal areas have same perimeters.

Which of the following is (are) correct?

In the given figure, ABCD is a quadrilateral.

If $AB=30cm,$, $AD=18cm,$, $BD=24cm,$, $DC=26cm$ and $\angle DBC={90}^{\circ }$,

then the area of quadrilateral $ABCD$ = ____ $c{m}^2$

Suhail was planning to fence the garden with plants. How many saplings should he buy so that he can fence the garden with 6 plants every 2 meters?

In the shown figure, line segment $BD$ is angle bisector of $\angle ABC$. Line segment $BE$ is angle bisector of $\angle ABD$. Then $\angle ABC=$ __ $\times \angle ABE$

Five years ago, a man was seven times older than his son .Five years hence, he is three times older. Find out their current ages

Which of the following fractions lie between $\frac{3}{8}$ and $\frac{7}{8}$ on the number line?

$\text{The sum of}\frac{-3}{5}\text{and}\frac{1}{5}\text{is}$

Question 84

Write a rational number in which the numerator is less than ${}^{\prime }-7\times {11}^{\prime }$ and the denominator is greater than ${}^{\prime }12+4^{\prime }.$

In the given figure, AB || DE. $\angle A={43}^{\circ }$ and $\angle BDE={57}^{\circ }$. The value of $\angle x$ is ________.

Find the measure of an angle which is complement of itself. [2 MARKS]

Question 1 (i)
State the property that is used in each of the following statements:

If a||b, then $\angle 1=\angle 5$.

Question 1(i)
Find the following product:
$(-1)\times (-2)\times (-3)\times 4$

Each of these questions are based on the information given below:

Who is sitting third to the right of O?

1. 10

Question 23

Fill in the blanks to make the statements true.
$(-2{)}^{31}\times (-2{)}^{13}=\text{\_\_}$

In the given figure, find the value of $\angle \text{A}+\angle \text{B}+\angle \text{C}+\angle \text{D}+\angle \text{E}+\angle \text{F}$.

Choose the variables connected with each other in direct proportion.

What do we get when we convert $\frac{1}{8}$ to per cent?

If the sides of $△ABC$ are AB = 5 cm, BC = 4 cm and CA = 3 cm, and sides of $△PQR$ are PQ = 4 cm, QR = 3 cm and RP = 5 cm, then _______.

To curb pollution, the government decided to collect data from various companies. For this government executives were sent to the respective companies to collect the required data. What kind of data is it?

You have a certain number of chocolates and you don't know the number of chocolates. If you receive the same number of chocolates from your friend and another friend gives you thrice the number of chocolates, which of the following can represent the total number of chocolates you have?

Which one of the following is greater? [2 MARKS]

a) $\frac{3}{7}$ and $\frac{3}{5}$

b) $\frac{5}{8}$ and $\frac{1}{2}$

Find the numerical value of (c - a) + (d - b).

A car travels first 60 km in 2 hours and next 100 km in 3 hours. Find the average speed of the car.

The average weight of a group of 53 girls was calculated as 58 kg. It was later discovered that the weight of one of the girls was read as 65 kg, whereas her actual weight was 45 kg. What is the actual average weight of the group of 53 girls? (rounded off to two digits after decimal)

The given figure has ___ sides

Ajay drove for 3 hours at a rate of 50 km per hour and for 2 hours at 60 km per hour. What was his average speed for the whole journey?

Anubha and Kajal are partners of a firm sharing profits and losses in the ratio of 2 : 1. Their capital, were Rs 90,000 and Rs 60,000. The profit during the year were Rs 45,000. According to partnership deed, both partners are allowed salary, Rs 700 per month to Anubha and Rs 500 per month to Kajal. Interest allowed on capital 5% pa. The drawings at the end of the period were Rs 8,500 for Anubha and Rs 6,500 for Kajal. Interest is to be charged 5% pa on drawings. Prepare partners capital accounts, assuming that the capital account are fluctuating.

If two sides and one angle of a triangle are equal to the two sides and an angle of another triangle, then which of the following statement is correct?