List five rational numbers between
\(\frac { -1 }{ 2 } \) and \(\frac { 3 }{ 5 } \)

List five rational numbers between
–1.2 and -2.3

Find the rational numbers represented by each of the question marks marked on the following number lines.

Compare the following pairs of rational numbers.
\(\frac { 2 }{ 3 } ,\frac { 4 }{ 5 } \)

Which of the following properties hold for subtraction of rational numbers? Why?
identity

Show that \(\left( \frac { \frac { 7 }{ 9 } -5 }{ \frac { 4 }{ 3 } } \right) \div \frac { 3 }{ 2 } +\frac { 4 }{ 9 } -\frac { 1 }{ 3 } =-2\)

Write any 6 rational numbers of your choice.

Are there any rational numbers between \(\frac{-7}{11}\) and \(\frac{6}{-11}?\)

Find the area of the shaded part in the following figures. ( π = 3.14 )

Which 3-D shapes do the following nets represent? Draw them.

Find the area of the house drawing given in the figure.

Find the product of (2x + 3)(2x − 4)

Match the following

a) 4y2 x −3y	-	(i) 20x2y − 20x
b) −2xy(5x2 − 3)	-	(ii) 5x3 − 5xy2 + 5x2 y
c) 5x(x2 − y2 + xy)	-	(iii) 4x2 −9
d) (2x + 3)(2x − 3)	-	(iv) −12y3
e) 5x(4xy − 4)	-	(v) −10x3y+6xy

A) iv, v, ii, i, iii
B) v, iv, iii, ii, i
C) iv, v, ii, iii, i
D) iv, v, iii, ii, i

Factorise the following expressions using a³+ b³ = (a+b) (a²-ab+b²) identity 2a³+16

Factorise the following expressions using a³+b³ = (a+b) (a²-ab+b²) identity 64m³+n³

Factorise the following expressions using a³-b³ = (a-b) (a²+ab+b²) identity c³-27b³a³

The length of a log is 3a + 4b - 2 and a piece (2a - b) is remove from it. What is the length of the remaining log?

4m²n + 9n²m + 3mn \(\div \)4mn

Factorize the following 7m(m - 5) + 1(5 - m)

In the given figure YH||TE . Prove that ΔWHY～ΔWET and also find HE and TE.

In the given figure, D is the midpoint of OE and ∠CDE = 90°. Prove that ΔODC ≡ ΔEDC

From the figure, prove that ΔSUN～ΔRAY

If you have 2 school bags and 3 water bottles then, in how many different ways can you choose each one of them, while going to school ?

A safety locker in a jewel shop requires a 4 digit unique code. The code has the digits from 0 to 9. How many unique codes are possible?

Convert the tree diagram into a numeric expression.