Write the following decimal numbers as rationals.
0.25

Write the following decimal numbers as rationals.
−5.8

Reduce to the standard form
 \(\frac { 48 }{ -84 } \)

Find which rational number is greater?
\(\frac { 5 }{ -4 } ,\frac { -11 }{ -7 } \)

Write the following rational numbers in descending and ascending order.
\(\frac { -3 }{ 5 } ,\frac { 7 }{ -10 } ,\frac { -15 }{ 20 } ,\frac { 14 }{ -30 } ,\frac { -8 }{ 15 } \)

Subtract \(\frac { 9 }{ 17 } \) from \(\frac { -12 }{ 17 } \)

The sum of two rational numbers is \(\frac { 4 }{ 5 } \). If one number is \(\frac { 2 }{ 15 } \) find the other.

A student instead of multiplying a number by \(\frac { 8 }{ 9 } ,\) divided it by \(\frac { 8 }{ 9 } \) by mistake. If the difference between the answers got by him is 34, find the number.

In the NEET exam, out of a total of 180 questions, a Jeyanth answered \(\frac { 19 }{ 30 } \) of the questions correctly and \(\frac { 5 }{ 18 } \) of the questions incorrectly. How many questions did Jeyanth not attend at all?

The radius of a sector is 21cm and its central angle is 120°. Find area of the sector 

Find the central angle and area of a palm leaf fan (sector) of radius 10.5 cm and whose perimeter is 43 cm \(\left( \pi =\frac { 22 }{ 7 } \right) \)

A spinner of radius 7.5 cm is divided into 6 equal sectors. Find the area of each of the sectors.

Pradeep wants to make a semicircular arch design at the entrance of his house with three equal sectors, as shown in the Fig.2.19 to be fitted in the iron frame. Find the length of the iron frame required and also the area of each of the sectors for which the mirrors to be fixed.

Four identical medals, each of diameter 7 cm are placed as shown in Figure. Find the area of the shaded region between the medals. \(\left(\pi=\frac{22}{7}\right)\).

If the length and breadth of a rectangular painting are 4xy³ and 3x²y. Find its area.

Multiply 3x²y and (2x³y³ − 5x²y + 9xy)

Ram deposited ‘x’ number of Rs. 2000 notes, ‘y’ number of Rs.500 notes, ‘z’ number of Rs.100 notes in a bank and Velan deposited ‘3xy’ times of amount of what Ram had deposited. How much amount did Velan deposit in the bank?

Simplify (5x + 3)(5x + 4) by using (x + a)(x + b) identity.

Find the unknowns in the following figures

(Illustrating SAS Similarity)
If A is the midpoint of RU and T is the midpoint of RN, prove that ΔRAT ～ ΔRUN .

(Illustrating RHS similarity)
The height of a man and his shadow form a triangle similar to that formed by a nearby tree and its shadow. What is the height of the tree?

(Illustrating SAS Congruence)
If CW and CT trisect OA and CO ≡ CA, prove that Δ COW ≡ Δ CAT

(Illustrating RHS Congruence)
If TAP is an isosceles triangle with TA = TP and ∠TSA = 90°.
Is AS = PS? Why?

How many possible outcomes are there in tossing a coin
 

In class VIII, a math club has four members M, A, T, and H. Find the number of different ways, the club can elect
(i) a leader,
(ii) a leader and an assistant leader.