Which of the following is not true?

Multiplicative inverse of a negative rational number is

A square board has an area of 121 square units. How long is each side of the board?

How many nonsquare numbers lie between the pair of numbers 36² and 37²?

If 10² = 100, then the square root of 100 is

The cube of 0.08 is

Which of the following is the co-efficient of y in -5 xyz?

The coefficient of xy²z in -7x²y³z is

Which of the following is the number of faces of a solid sphere?

The volume of a cylinder of base radius r and height h is

The area of the quadrilateral is 

The factorisation of ax²y + bxy² + cxyz is

5² = 25, then square root of 25 =______.

The large number of observations are usually organised in groups of equal width called _______.

In a ______________ opposite sides are equal, opposite angles are equal and diagonals bisect one another.

The perimeter of a circle and its diameter vary___________with each other.

Write the additive inverse of the following: \(\frac { -21 }{ 112 } \)

Without calculating square roots, find the number of digits in the square root of the number 36481.

Read the following circle graphs and answer the questions given below:
(a) The time spent by a child during a day:
(i) On which activity maximum number of hours are spent?
(ii) On which two activities does he spend equal number of hours?
(iii) Find the central angles for each sector of activities

(b) Age group of people in a town:
(i) In which age group are the maximum number of people?
(ii) How many people are there is the '0-14 years' group?
(iii) Find the central angle of the sector corresponding to the age group 15-60 years'.

Regroup the terms and factorise: z - 19 + 19xy - xyz

Write the additive inverse of the following  \(19\over-6\)

Is \(\frac{-8}{9} \times (\frac{-4}{7}) =\frac{-4}{7}\times (\frac{-8}{9})?\)

Express 2 yr in seconds.

Write each of the following in standard form: 150,000,000,000

Can we say whether the following numbers are perfect squares? How do we know? 2061
Write five numbers which you can decide by looking at their units digit that they are not square numbers.

Solve \(-5+{7\over10}+{3\over7}+(-3)+{5\over14}+{-4\over5}\)

Solve the following:
\((\frac{2}{3})^{-2}\times(\frac{2}{3})^{5}\)

For each of the following numbers, 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.1620

Is 1008 a perfect square? If not, find the smallest multiple of 1008 which is a perfect square and then find the square root of the new number.

Find the values of the letters in each of the following and give reasons for the steps involved.\(\begin{matrix} \quad \quad 1\quad 2\quad A \\ +\quad 6\quad A\quad B \\ \_ \_ \_ \_ \_ \_ \_ \_ \_ \\ \quad A\quad 0\quad 9 \\ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \end{matrix}\)

Find the cube root of 614125 through estimation.

Without finding the prime factors, estimate the cube roots of the following cubes:12167

Study the following frequency table and answer the questions given below.
(i) What is the class interval?
(ii) Which class has the lowest frequency?
(iii) Which class has the highest frequency?
(iv) Which two classes have the same frequency?

(v) What is the lower limit of the class interval 300-325?
(vi) What is the upper limit of the class interval 275-300?

Numbers I to 10 are written on ten separate cards such that one number on one slip. These are mixed well and one slip is chosen from the box without looking into it. What is the probability of
(i) getting a card on which 7 is written?
(ii) getting a card having two-digit number on it?
(iii) getting a number less than 5?
(iv) getting a number more than 5?

Divide the following algebraic expressions: r(r⁸ - 1)\(\div\)(r³-r)

Take a clock and fix its minute hand at 12.
Record the angle turned through by the minute hand from its original position and the time that has passed, in the following table:

What do you observe about T and A? Do they increase together? Is \(T\over A\) same every time?

Is the angle turned through by the minute hand directly proportional to the time that has passed? Yes; From the above table, you can also see
T₁ : T₂ = A₁ A₂, because
T₁ : T₂ = 15 30= 1 :2
A₁ : A₂ = 90 180 = 1 :2
Check if T₂: T₃ = A₂ A₃ and T₃ : T₄ = A₃ : A₄
You can repeat this activity by choosing your own time interval.