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Question 36

Data available in an unorganised form is called ___ data.

What is the degree of a quadratic polynomial?

Consider the following two statements.
Statement - 1: The area of rectangles in a histogram are proportional to the corresponding frequencies.
Statement - 2: The height of rectangles in a histogram are proportional to the corresponding frequencies.
Which of the following is/are correct?

Question 26

$1\mu m$ is



(a) ${10}^{–6}m$

(b) ${10}^{–9}m$

(c) ${10}^{–10}m$

(d) ${10}^{–3}m$

Factorize each of the following algebraic expressions.

6x(2x-y)+7y(2x-y)

The time (in seconds) taken by 150 athletes to run a 110 m hurdle race are tabulated below:

$\begin{array}{ccccccc}\text{Class}& 13.8-14& 14-14.2& 14.2-14.4& 14.4-14.6& 14.6-14.8& 14.8-15\\ \text{Frequency}& 2& 4& 5& 71& 48& 20\end{array}$

The number of athletes who completed the race in less than 14.6 s is ____.

1. 82

Classify into like terms:

$Ifa>c;\text{show that}abc-cba=99(a-c)$

In how many ways can five persons be seated in a row?

A merchant has three different types of milk $324$ litres, $351$ litres, and $459$ litres. Find the minimum number of casks of equal size that can store the milk without mixing.

The population of a place increased to 26,000 in the year 2001 at a rate of 4% per annum. Then the population in the year 2000 is

In the quadrilateral ABCD, AB = 2 cm, BC = 3 cm, CD = 5 cm and AD = 4 cm, then relation between $\angle B$ and $\angle D$ is?

Question 51

Volume of a rectangular box with $l=b=h=2x$ is ___

Question 30

In the following question, out of the four options, only one is correct. Write the correct answer.

For a non-zero rational number $p^{13}÷p^8$ is equal to :

(a) $p^5$

(b) $p^{21}$

(c) $p^{-5}$

(d) $p^{-19}$

Question 124(ii)

The cell of a bacteria doubles in every 30 min. A scientist begins with a single cell. How many cells will be thereafter 24h?

Question 92

Translate the given algebraic expression into words.

8(m + 5)

(a) Simplify 3x
(4x −5) + 3 and find its values for (i) x = 3,
(ii)
.

(b) a (a²
+ a + 1) + 5 and find its values for (i) a = 0, (ii) a
= 1, (iii) a = − 1.

In parallelogram ABCD, which of the 2 sides are equal?

The area of a parallelogram is $60c{m}^2$ and one of its altitude is 5 cm. The length of its corresponding side is

1. 16

In measuring the length and breadth of a rectangle, errors of $5\%$ and $3\%$ in excess, respectively, are made. The error percent in the calculated area is

What are monthly repayments?

A square field has side 20 m. Find the length of the wire required to fence it four times.

In the adjacent triangle ABC, find the value of x and calculate the measure of all the angles of the triangle.

The given pie chart represents the fraction of land and water on a newly discovered planet. The fraction of the planet made of water is

Find the multiplicative inverse of $\frac{4}{7}$.

For what value of $x$ will $△ABC\cong △XYZ$?

1. 10

What is the shortcut to identify the terminating and non-terminating numbers by seeing the question.

What pieces of information given below would be useful in determining a football player's performance in a match?

i) Height

ii) Weight

iii) Name

iv) Stamina

v) Nationality

Cubes A, B, C having edges 18 cm, 24 cm and 30 cm respectively are moulded into a new cube D. Find the edge of the bigger cube D.

15.5 centimetres, 10.5 centimetres

Match the solid figures with their nets.

Question 104(iii)

The below histogram shows the number of literate females in the age group of 10 yr to 40 yr in a town.



In whic age group, are literate females the least ?