Write the following in the place value grid and find the place value of the underlined digits.
(i) 0.37
(ii) 2.73
(iii) 28.271

A standard art paper is about 0.05 mm thick and matte coated paper is 0.09 mm thick. Can you say which paper is more thick?

What is the circumference of the circular disc of radius 14 cm? (use \(\pi =\frac { 22 }{ 7 } \))

What is the distance travelled by the tip of the seconds hand of a clock in 1 minute, if the length of the hand is 56 mm (use \(\pi =\frac { 22 }{ 7 } \)).

A farmer wants to fence his circular poultry farm with barbed wire whose radius is 420 m. The cost of fencing is Rs.12 per metre. He has Rs.30,000 with him. How much more amount will be needed to fence his farm? (Here π = \(\frac { 22 }{ 7 } \))

Kannan divides a circular disc of radius 14 cm into four equal parts. What is the perimeter of a quadrant-shaped disc? (use \(\pi =\frac { 22 }{ 7 } \))

The radius of a circular flower garden is 21 m. A circular path of 14 m wide is laid around the garden. Find the area of the circular path.

A floor is 10 m long and 8 m wide. A carpet of size 7 m long and 5 m wide is laid on the floor. Find the area of the floor that is not covered by the carpet.

A verandah of width 3 m is constructed along the outside of a room of length 9 m and width 7m. Find (a) the area of the verandah (b) the cost of cementing the floor of the verandah at the rate of Rs.15 per sq.m.

Express 729 in exponential form.

Express the following numbers in exponential form with the given base:
512, base 2

Find the value of
13²

Simplify using Product Rule of exponents.
25 × 32 × 625 × 64

Simplify using power rule of exponents.
(2⁶)² x (2⁴)⁷

Simplify by using the law of exponents.
4³ x 2³ x 5³

Simplify by using the law of exponents.
6¹³ x 48¹³ ÷ 12¹³

Find the degree of the following expressions.
-3p³q²

Find the degree of the following expressions.
12xyz − 3x³y²z + z⁸

Add the expressions 4x² + 3xy + 9y² and 2x² − 9xy + 6y² and find the degree.

Simplify and find the degree of the expression
(4m² + 3n)− (3m + 9n² )− (3m² − 6n² ) + (5m− n)

Find the measure of the missing angle in the given triangle ABC.

If two angles of a triangle having measures 65⁰ and 35⁰, find the measure of the third angle.

In ΔLMN, LM is extended to O. If ㄥL = 62⁰ and ㄥN = 31⁰, find ㄥNMO.

In the given isoceles triangle IJK (Figure), if ㄥIKL = 128⁰, find the value of x.

In the following figures, polygons are formed by increasing the number of sides using matchsticks as given below.

Find the number of sticks required to form the next three shapes by tabulation and generalisation.