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The average of data values in the data set is called _______ .

Find the value of $x$ in the given equation: $8x-12=20$

The equation of the circle whose centre is (1, -3) and which touches the line 2x-y-4=0 is

Rahim's and his wife's age are in the ratio 4: 3. After 4 years the ratio of their age will be 9:7. Then the required equation is

Question 99

Solve the following question:

Is 9720 a perfect cube? If not, find the smallest number by which it should be divided to get a perfect cube.

What will be the first class interval, if the fifth class interval is $68-72$, the fourth class interval is $64-68$?

In each of the following cases ABCD is a square and PQRS is a rectangle. Find, in each case, the area of the shaded portion.

(All measurements are in metre)

A scooter was bought at ₹ 42000 and its value depreciates at the rate of 8% per annum. Find its value after one year.

Which of the following is a measure of central tendency?

A quadrilateral has an area of 453.6 $c{m}^2$. The length of a diagonal is 42 cm and the perpendicular distance from one vertex is 10 cm. Find the perpendicular distance from the other vertex (in cm). ___​

The cube of 0 is

Which number should 392 be multiplied with to get a perfect cube? [1 MARK]

What per cent of 90 is 120 ? (a)$75\%$ (b)$33\frac{1}{3}\%$ (c)$133\frac{1}{3}\%$ (d) none of these

Question 81 (vii)

Add :

$3a(2b+5c),3c(2a+2b)$

The length of a rectangle is four times its width. If the perimeter is 100 m .what is the length of the rectangle?

Question 102

By what number should we multiply $(-29{)}^0,$ so that the product becomes $(+29{)}^0$

If $C_1,C_2,C_3$.........represent the speeds of $n_1,n_2,n_3$......... molecules, then the root mean square speed is _____.

What is the coordinates of vertices of a rectangle whose length and breadth are 5 and 3 units respectively? Given that one vertex is at the origin, the longer side lies on the x-axis and one of the vertices lies in the first quadrant.

Find a rational number which is
a) Equal to its negative.
b) Equal to its reciprocal. [2 MARKS]

If Latha contributed ₹20, Sita contributed ₹30 and Gita contributed ₹50 to buy a cake, the total volume of the cake is 300 cm${}^3$ and decided to divide it in the ratio of contribution then what volume of cake did Gita get?

Evaluate: $(2y+5)(2y+5)$

$ABCD$ is a square and $ABRS$ is a rhombus. if $\angle SAD={120}^{\circ }$,

find: (¡) $\angle ASD$ (¡¡) $\angle SRB$

The mean of a data is given by:

Find the value:
75% of 200 is___

Question 45

Volume of a cylinder with radius h and height r is ___

What do we call collective thoughts and ideas raised or pointed from the data collected during scientific process?

If a+b+c=0 then prove that, [(b+c)²/3bc]+[(c+a)²/3ac]+[(a+b)²/3ac]

Solve:

$\frac{7y+4}{y+2}=\frac{-4}{3}$

The line graph below shows people in a store at various times of the day.
What is the busiest time of the day at the store?

Find the value of 'x' from the figure.

The sum of the digits of a two - digit number is 12. If the new number formed by reversing the digits is greater than the original number by 54, find the original number. Check your solution.

Can a polyhedron have 10 faces, 20 edges and 15 vertices?

$ab-a-b+1=?\left(a\right)(a-1)(b-1)\left(b\right)(1-a)(1-b)\left(c\right)(a-1)(1-b)\left(d\right)(1-a)(b-1)$

Find the altitude of a trapezium whose area is 65 $c{m}^2$ and whose bases are 13 cm and 26 cm.

$(197\times 203)=?$
(a) 39991
(b) 39999
(c) 40009
(d) 40001

The polyhedron that can be made by folding the given net is ___

Four - fifth of a number is more than three - fourth of the number by 4. find the number.

The quadrilateral whose construction requires at least one angle and one side is __.

Lakshmi is a cashier in bank she has currency notes of denomination rupees hundred rupees 50 and rupees 10 respectively the ratio of the number of the of these notes in2:3:5 The total cash with Lakshmi is Rs 400000 how many note of each denomination does he have

Question 6 (iii)

For the following number, find the smallest whole number by which it should be divided so as to get a perfect square. Also, find the square root of the square number so obtained:

396

A well of inner diameter 14 m is dug to a depth of 12 m. Earth taken out of it has been evenly spread all around it to a width of 7 m to form an embankment. Find the height of the embankment so formed.