List five rational numbers between
–2 and 0

List five rational numbers between
–1.2 and -2.3

Verify that -(- x) is the same x for:
\(x=\frac { -31 }{ 45 } \)

Divide: \(\frac { -3 }{ 13 } \) by -3

Arrange the following rational numbers in ascending and descending order
\(\frac { -5 }{ 12 } ,\frac { -11 }{ 8 } ,\frac { -15 }{ 24 } ,\frac { -7 }{ -9 } ,\frac { 12 }{ 36 } \)

Use commutative and distributive properties to simplify \(\frac { 4 }{ 5 } \times \frac { -3 }{ 8 } -\frac { 3 }{ 8 } \times \frac { 1 }{ 4 } +\frac { 19 }{ 20 } \)

Subbu spends \(\frac { 1 }{ 3 } \) of his monthly earnings on rent, \(\frac { 2 }{ 5 } \) on food and \(\frac { 1 }{ 10 } \) on monthly usuals. What fractional part of his earnings is left with him for other expenses?

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

The difference between a number and its two third is 30 more than one -fifth of the number. Find the number.

Find the area of a sector whose length of the arc is 50 mm and radius is 14 mm.

Dhamu fixes a square tile of 30 cm on the floor. The tile has a sector design on it as shown in the figure. Find the area of the sector. (π = 3.14).

Find the perimeter and area of the combined figures given below. \(\left( \pi =\frac { 22 }{ 7 } \right) \)

Find the area of the combined figure given, formed by joining a semicircle of diameter 6 cm with a triangle of base 6 cm and height 9 cm. ( π = 3.14 )

A rocket drawing has the measures as given in the figure. Find its area.

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

Multiply a monomial by a monomial
6x,4

Multiply a monomial by a monomial
2p²q³, −9pq²

Find the product of (2x + 3)(2x − 4)

Expand (3m + 5)²

Multiply (4x² + 9) and (3x-2)

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

In the given figure, AC ≡ AD and ∠CBD ≡∠DEC.
Prove that \(\triangle\)BCF ≡ \(\triangle\)EDF.

Construct the following quadrilaterals with the given measurements and also find their area.
AGRI, AG = 4.5 cm, GR = 3.8 cm, ∠A = 60°, ∠G = 110° and ∠R = 90°.

In how many ways, can the teacher choose 3 students in all, one each from 10 students in VI std, 15 students in VII std and 20 students in VIII std to go to an excursion?

An examination paper has 3 sections, each with five questions and students are instructed to answer one question from each section. In how many different ways of can the questions be answered?