List five rational numbers between
–2 and 0

Draw the number line and represent the following rational numbers on it.
\(\frac { 15 }{ -4 } \)

Verify the closure property for addition and multiplication of the rational numbers \(\frac { -5 }{ 7 } \) and \(\frac { 8 }{ 9 } \)

If \(\frac { 3 }{ 4 } \) of a box of apples weighs 3 kg and 225 gm, how much does a full box of apples weight?

If A walks \(\frac { 7 }{ 4 } \) km and then jogs \(\frac { 3 }{ 5 } \) find the total distance covered by A. How much did A walk rather than jog?

The simplest form of \(\frac{125}{200}\) is__________.

The pairs are equivalent rational numbers?
\(\frac { -6 }{ 4 } ,\frac { 33 }{ -22 } \)

For the sectors with given measures, find the length of the arc, area and perimeter . (π = 3.14)
(i) central angle 45º, r = 16 cm
(ii) central angle 120º, d = 12.6 cm

A circle of radius 70 cm is divided into 5 equal sectors. Find the area of each of the sectors.

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 )

Find the area of an invitation card which has two semicircles attached to a rectangle as in the figure given. \(\left( \pi =\frac { 22 }{ 7 } \right) \)

Find the area of the irregular polygon shaped fields given below.

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

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

Can a polyhedron have 12 faces, 22 edges and 17 vertices?

With his usual speed, if a person covers a circular track of radius 150 m in 9 minutes, find the distance that he covers in 3 minutes (π = 3.14)

Using graph sheet, draw the net for the cuboid whose length is 5 cm, breadth is 4 cm and height is 3 cm and also find its area.

Multiply a monomial by a monomial
6x,4

Expand −2p(5p²−3p +7)

Find the missing term 6xy x _________= −12x³y

Expand (52)³

A mason uses the expression x² + 6x + 8 to represent the area of the floor of a room. If he decides that the length of the room will be represented by(x + 4), what will the width of the room be in terms of x ?

Pick out the like terms from the following.

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?