State true or false.

Cube of any odd number is even.

Concept: Concept of Cube Number

State true or false.

A perfect cube does not end with two zeroes.

Concept: Concept of Cube Number

State true or false.

If square of a number ends with 5, then its cube ends with 25.

Concept: Concept of Cube Number

State true or false

There is no perfect cube which ends with 8.

Concept: Concept of Cube Number

State true or false.

The cube of a two digit number may be a three digit number.

Concept: Concept of Cube Number

State true or false.

The cube of a two digit number may have seven or more digits.

Concept: Concept of Cube Number

State true or false.

The cube of a single digit number may be a single digit number.

Concept: Concept of Cube Number

For each of the given solid, the two views are given. Match for each solid the

corresponding top and front views.

Concept: Views of 3D-shapes

A square and a rectangular field with measurements as given in the figure have the same perimeter. Which field has a larger area?

Concept: Introduction of Mensuration

Mrs. Kaushik has a square plot with the measurement as shown in the following figure. She wants to construct a house in the middle of the plot. A garden is developed around the house. Find the total cost of developing a garden around the house at the rate of Rs 55 per m^{2}.

Concept: Introduction of Mensuration

The shape of a garden is rectangular in the middle and semi circular at the ends as shown in the diagram. Find the area and the perimeter of the garden [Length of rectangle is 20 − (3.5 + 3.5) metres]

Concept: Introduction of Mensuration

A flooring tile has the shape of a parallelogram whose base is 24 cm and the corresponding height is 10 cm. How many such tiles are required to cover a floor of area 1080 m^{2}? (If required you can split the tiles in whatever way you want to fill up the corners).

Concept: Introduction of Mensuration

An ant is moving around a few food pieces of different shapes scattered on the floor. For which food − piece would the ant have to take a longer round? Remember, circumference of a circle can be obtained by using the expression *c* = 2*πr*, where *r* is the radius of the circle.

Concept: Introduction of Mensuration

Evaluate 3^{−2}

Concept: Powers with Negative Exponents

Evaluate (−4)^{−2}

Concept: Powers with Negative Exponents

Evaluate `(1/2)^(-5)`

Concept: Powers with Negative Exponents

Find the value of *m* for which 5^{m} ÷5^{−3} = 5^{5}.

Concept: Powers with Negative Exponents

Evaluate `{(1/3)^(-1) - (1/4)^(-1)}^(-1)`

Concept: Powers with Negative Exponents

Evaluate `(5/8)^(-7) xx (8/5)^(-4)`

Concept: Powers with Negative Exponents

For the given solid, the three views are given. Identify for each solid the corresponding top, front and side views.

Object |
(i) |
(ii) |
(iii) |

Concept: Views of 3D-shapes