Express the following in metres using decimal.
42 mm

Express the following in metres using decimal.
7 cm

Express the following decimal numbers in place value grid and write the place value of the underlined digit.
17.39

Write the following decimal numbers in the place value table.
173.178

Convert the following fractions into decimal numbers.
\(\frac { 3 }{ 10 } \)

Convert the following decimal numbers into fractions.
23.4

Write the following fractions as decimal numbers.
\(\frac { 421 }{ 100 } \)

A wire of length 1320 cm is made into circular frames of radius 7 cm each. How many frames can be made?

Find the area of the dining table whose diameter is 105 cm.

In a grass land, a sheep is tethered by a rope of length 4.9 m. Find the maximum area that the sheep can graze.

Thenmozhi wants to level her circular flower garden whose diameter is 49 m at the rate of Rs.150 per m². Find the cost of levelling.

Find the area of a circular pathway whose outer radius is 32 cm and inner radius is 18 cm.

A school ground is in the shape of a circle with radius 103 m. Four tracks each of 3 m wide has to be constructed inside the ground for the purpose of track events. Find the cost of constructing the track at the rate of Rs. 50 per sq.m.

The cost of decorating the circumference of a circular lawn of a house at the rate of Rs.55 per metre is Rs.16940. What is the radius of the lawn?

Four circles are drawn side by side in a line and enclosed by a rectangle as shown below. If the radius of each of the circles is 3 cm, then calculate:
The area of each circle.

Find the unit digit of expanded form.
11¹⁰

Simplify and find the degree of the following expressions.
10x² − 3xy + 9y² − (3x² − 6xy − 3y² )

Two line segments \(\overset { \_ \_ }{ AD } \) and \(\overset { \_ \_ }{ BC } \) intersect at O. Joining \(\overset { \_ \_ }{ AB } \) and \(\overset { \_ \_ }{ DC } \) we get two triangles, Δ AOB and Δ DOC as shown in the figure. Find the ㄥA and ㄥB.

If the three angles of a triangle are in the ratio 3: 5: 4, then find them.

In a right angled triangle ABC, ㄥB is right angle, ㄥAis x + 1 and ㄥC is 2x + 5. Find ㄥAand ㄥC.

If the given two triangles are congruent, then identify all the corresponding sides and also write the congruent angles.

To conclude the congruency of triangles, mark the required information in the following figures with reference to the given congruency criterion.

Find the value of x.

Find the trianglular numbers from the Pascal’s Triangle and colour them.

Verify whether the following hexagonal shapes form a part of the Pascal’s Triangle.