Represent the following decimal numbers pictorially.
(i) 0.3
(ii) 3.6
(iii) 2.7
(iv) 11.4

Express the numbers given in expanded form in the place value grid. Also write its decimal representation.
3 + \(\frac { 5 }{ 10 } +\frac { 3 }{ 100 } +\frac { 4 }{ 1000 } \)

Praveen goes trekking with his friends. He has to record the distance in kilometres in his sports book. Can you help him?
The trekking record for four days are given below
537 m

Express the numbers given in expanded form in the place value grid. Also write its decimal representation.
40 + 6 + \(\frac { 7 }{ 10 } +\frac { 2 }{ 100 } +\frac { 6 }{ 1000 } \)

Two automatic ice cream machines A and B designed to fill cups with 100 ml of ice cream were tested. Two cups of ice creams, one from machine A and one from machine B are weighed and found to be 99.56 ml from machine A and 99.65 ml from machine B. Can you say which machine gives more quantity of ice creams?

Now let us arrange the long jump records of students in a school for 3 years in ascending order
(i) 1 year - 4.90 m
(ii) 2 year - 4.91 m
(iii) 3 year - 4.95 m

Calculate the circumference of the bangle shown in Figure (Take p = 3.14 ).

If the circumference of the circle is 132 m. Then calculate the radius and diameter (Take \(\pi =\frac { 22 }{ 7 } \)).

The radius of a tractor wheel is 77 cm. Calculate the distance covered by it in 35 rotations? (use \(\pi =\frac { 22 }{ 7 } \))

Find the perimeter of the given shape (Figure) (Take \(\pi =\frac { 22 }{ 7 } \)).

A park is circular in shape. The central portion has playthings for kids surrounded by a circular walking pathway. Find the walking area whose outer radius is 10 m and inner radius is 3 m.

A picture of length 23 cm and breadth 11 cm is painted on a chart, such that there is a margin of 3 cm along each of its sides. Find the total area of the margin.

A Kho-Kho ground has dimensions 30 m x 19 m which includes a lobby on all of its sides. The dimensions of the playing area is 27 m x 16 m. Find the area of the lobby.

Express the following numbers in exponential form with the given base:
1000, base 10

Express the following numbers in exponential form with the given base:
243, base 3.

Simplify using quotient rule of exponents.
\(\frac { { 10 }^{ 8 } }{ { 10 }^{ 6 } } \)

Simplify using quotient rule of exponents.
\(\frac { { 6 }^{ 4 } }{ { 6 }^{ 0 } } \)

Find the degree of the following expressions.
x⁵

Find the degree of the following expressions.
- 4xy²z³

Subtract x³ − x² + x + 3 from 3x³ − 2x² − 7x + 6 and find the degree.

Can the following angles form a triangle?
(i) 80⁰, 70⁰, 50⁰ 
(ii) 56⁰, 64⁰, 60⁰

In ΔSTU, if SU = UT, ㄥSUT = 70⁰, ㄥSTU = x, find the value of x.

In ΔPQR, find the exterior angle, ㄥSRQ.

In the ΔABC shown in the figure, find the angel z.

With the given data in the Figure, find ㄥUWY. What do you infer about ㄥXWV?