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Find the value of $({36}^3{)}^{-3}$.

Ravi borrowed money from his mother for buying pens. He bought 7 pens and the price of each pen is a two digit number, 1A. If the total amount spent by him is 10A, then the value of A is

Find the mean of the marks obtained by 20 students in a classroom.

$$\begin{array}{cc}Marks& Frequency\\ 87& 2\\ 78& 3\\ 53& 1\\ 98& 2\\ 92& 2\\ 97& 1\\ 81& 2\\ 65& 2\\ 98& 3\\ 76& 2\end{array}$$

Expression 3(x+5) can be written as . What are the numbers to be filled in the box?

$\text{If x}ϵZ,\text{solve the inequation}2+4x<2x-5\le 3x.\text{Also, represent its solution set on a number line.}$

If Aju scored $70$ and $85$ in two tests out of $100$, what is the percentage increase in marks scored by him?

Question 1 (b)
Which congruence criterion do you use in the following?
Given: RP = ZX, RQ = ZY, $\Delta PRQ=\Delta XZY$
So $\Delta PQR=\Delta XY$

Question 67

Fill in the blanks to make the statement true.

In the given figure, $\Delta ARO\cong \Delta$ ___

A paper is rectangular in shape with negligible thickness. A stack of papers is arranged one above the other.

S1 : The resulting figure is three dimensional.

S2 : The figure is called a cuboid.

What should be subtracted from $\frac{-5}{3}\text{to get}\frac{5}{6}$?

(a) $\frac{5}{2}$

(b) $\frac{3}{2}$

(c) $\frac{5}{4}$

(d) $\frac{-5}{2}$

$(x^m{)}^n$ is equal to:

When two squares of area 5 cm are joined in order to form a larger square, the area of the larger square is:

A car takes 4 hours to cover a distance if it travels at a speed of 40 kmph. What should be its speed to cover the same distance in 1.5 hours?

What is $\angle ABD$ from the figure?

You won a lottery worth RS .20000. You spent RS.2850 on your shopping and Rs.450 no eating. Find the amount of money left with you.

The value of expression ${12}^2\times 5^2$ is equal to

0.2 x 0.2 =

State True or False:
An angle bisector divides an angle into two equal parts.

Subtract (2x+3y)from(3x+7y)

Question 14

Fill in the blanks to make the statement true.

1 is a ___ rational number.

In the equation $x=10y-24$, sum of the coefficients of dependent and independent variables is ___.

In a regular polygon if the ratio of the interior and exterior angles is 3:2 then the interior angle of the polygon is ___

Q. एक यात्रा में, एक आदमी कुछ दूरी बस द्वारा और शेष ट्रेन द्वारा तय करता है। यदि बस की चाल और ट्रेन की चाल का अनुपात $5:3$ है तथा ट्रेन द्वारा तय की गई दूरी और बस द्वारा तय की गई दूरी का अनुपात $7:9$ है, तो उस आदमी के द्वारा बस में बिताए गए समय और ट्रेन में बिताए गए समय का अनुपात क्या है?

Question 9

On the number line, the value of $(-3)\times 3$ lies on right hand side of

(a) -10
(b) -4
(c) 0
(d) 9

Question 42

Fill in the blanks to make the statement true.

While multiplying a positive integer and a negative integer, we multiply them as ___ numbers and put a ___ sign before the product.

The length of a rectangular notebook is 35 cm and the perimeter is 100 cm. Find the area of the notebook.

Two dice are placed side by side as shown in the figure. What would be the sum of the numbers which are on the opposite faces of 4 and 3 respectively?

Statement 1: The area of a quarter circle is one-fourth of that of a circle with the same radius.

Statement 2: The circumference of a quarter circle is one-fourth of that of a circle with the same radius.

[3×[(-5)×(-4)]÷[27+(-13-4)]+[(27×(-2)]÷(-3-3)+[(-3)×(-3)×(-5)÷(-3)

Can you explain clearly

Question 6(viii)
Simplify:
(viii) $3^2\times {10}^4$

Additive inverse of -3 is:

In a crash test, 11 cars were tested to determine what impact speed was required to obtain minimal bumper damage. Find the mode of the speeds given in miles per hour below.

24, 15, 18, 20, 18, 22, 24, 26, 18, 26, 24

Which of the following is not a way of expressing the dependence of one quantity on the other in a quantitative form?

A person has his birthday falling on February 30th. What type of event is this?

Two dice are rolled simultaneously. The probability that they show different faces is:

$△$XYZ is constructed such that XY = 4 cm, XZ = 8 cm and $\angle$X = 20${}^{\circ }$. Then the difference between the lengths of sides YZ and XY is equal to

After making a withdrawal, the amount of money in Sunil's bank account decreased by 42.5%
Then he had 1,380 rupees left in his account.

How much money did Sunil withdraw?

Divide $2x^{3}y-6x^2{y}^3+6x^2{y}^2$ by $2x^{2}y$.

Draw a line l. Then draw a perpendicular on l at any point. On this perpendicular, choose a point X, 5.5 cm away from l. Through X, draw a line m parallel to l. [3 MARKS]

The radius of the circle is 6 cm, then the diameter = ___ cm.

What must be added to $(x^2+xy-y^2)$ to get $xy$?