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English Medium Class 9 - CBSE Question Bank Solutions for Mathematics

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A plastic box 1.5 m long, 1.25 m wide and 65 cm deep, is to be made. It is to be open at the top. Ignoring the thickness of the plastic sheet, determine:

(i) The area of the sheet required for making the box.

(ii) The cost of sheet for it, if a sheet measuring 1 m2 costs Rs 20.

[5.02] Surface Areas and Volumes
Chapter: [5.02] Surface Areas and Volumes
Concept: Surface Area of a Cuboid

The length, breadth and height of a room are 5 m, 4 m and 3 m respectively. Find the cost of white washing the walls of the room and the ceiling at the rate of Rs 7.50 per m2.

[5.02] Surface Areas and Volumes
Chapter: [5.02] Surface Areas and Volumes
Concept: Surface Area of a Cuboid

The floor of a rectangular hall has a perimeter 250 m. If the cost of panting the four walls at the rate of Rs.10 per m2 is Rs.15000, find the height of the hall.

[Hint: Area of the four walls = Lateral surface area.]

[5.02] Surface Areas and Volumes
Chapter: [5.02] Surface Areas and Volumes
Concept: Surface Area of a Cuboid

The paint in a certain container is sufficient to paint an area equal to 9.375 m2. How many bricks of dimensions 22.5 cm × 10 cm × 7.5 cm can be painted out of this container?

[5.02] Surface Areas and Volumes
Chapter: [5.02] Surface Areas and Volumes
Concept: Surface Area of a Cuboid

A cubical box has each edge 10 cm and another cuboidal box is 12.5 cm long, 10 cm wide and 8 cm high.

(i) Which box has the greater lateral surface area and by how much?

(ii) Which box has the smaller total surface area and by how much?

[5.02] Surface Areas and Volumes
Chapter: [5.02] Surface Areas and Volumes
Concept: Surface Area of a Cuboid

A small indoor greenhouse (herbarium) is made entirely of glass panes (including base) held together with tape. It is 30 cm long, 25 cm wide and 25 cm high. What is the area of the glass?

[5.02] Surface Areas and Volumes
Chapter: [5.02] Surface Areas and Volumes
Concept: Surface Area of a Cuboid

A small indoor greenhouse (herbarium) is made entirely of glass panes (including base) held together with tape. It is 30 cm long, 25 cm wide and 25 cm high. How much of tape is needed for all the 12 edges?

[5.02] Surface Areas and Volumes
Chapter: [5.02] Surface Areas and Volumes
Concept: Surface Area of a Cuboid

Shanti Sweets Stall was placing an order for making cardboard boxes for packing their sweets. Two sizes of boxes were required. The bigger of dimensions 25 cm × 20 cm × 5 cm and the smaller of dimensions 15 cm × 12 cm × 5 cm. For all the overlaps, 5% of the total surface area is required extra. If the cost of the cardboard is Rs 4 for 1000 cm2, find the cost of cardboard required for supplying 250 boxes of each kind.

[5.02] Surface Areas and Volumes
Chapter: [5.02] Surface Areas and Volumes
Concept: Surface Area of a Cuboid

Parveen wanted to make a temporary shelter for her car, by making a box-like structure with tarpaulin that covers all the four sides and the top of the car (with the front face as a flap which can be rolled up). Assuming that the stitching margins are very small, and therefore negligible, how much tarpaulin would be required to make the shelter of height 2.5 m, with base dimensions 4 m × 3 m?

[5.02] Surface Areas and Volumes
Chapter: [5.02] Surface Areas and Volumes
Concept: Surface Area of a Cuboid

If an angle is 28° less than its complement, find its measure.

[4.02] Lines and Angles
Chapter: [4.02] Lines and Angles
Concept: Introduction to Lines and Angles

If an angle is 30° more than one half of its complement, find the measure of the angle.

[4.02] Lines and Angles
Chapter: [4.02] Lines and Angles
Concept: Introduction to Lines and Angles

 Classify the following polynomials as linear, quadratic, cubic and biquadratic polynomials:

`x+x^2 +4`

[2.01] Polynomials
Chapter: [2.01] Polynomials
Concept: Polynomials

Classify the following polynomials as linear, quadratic, cubic and biquadratic polynomials:

`3x-2`

[2.01] Polynomials
Chapter: [2.01] Polynomials
Concept: Polynomials

Classify the following polynomials as linear, quadratic, cubic and biquadratic polynomials:

`2x+x^2`

 

[2.01] Polynomials
Chapter: [2.01] Polynomials
Concept: Polynomials

Classify the following polynomials as linear, quadratic, cubic and biquadratic polynomials:

`3y`

 

[2.01] Polynomials
Chapter: [2.01] Polynomials
Concept: Polynomials

Classify the following polynomials as linear, quadratic, cubic and biquadratic polynomials:

`t^2+1`

[2.01] Polynomials
Chapter: [2.01] Polynomials
Concept: Polynomials

Classify the following polynomials as linear, quadratic, cubic and biquadratic polynomials

`7t^4+4t^3+3t-2`

[2.01] Polynomials
Chapter: [2.01] Polynomials
Concept: Polynomials

Classify the following polynomials as polynomials in one-variable, two variables etc:

`x^2-xy+7y^2`

[2.01] Polynomials
Chapter: [2.01] Polynomials
Concept: Polynomials

Classify the following polynomials as polynomials in one-variable, two variables etc:

`x^2-2tx+7t^2-x+t`

[2.01] Polynomials
Chapter: [2.01] Polynomials
Concept: Polynomials

Classify the following polynomials as polynomials in one-variable, two variables etc:

`t^3_3t^2+4t-5`

[2.01] Polynomials
Chapter: [2.01] Polynomials
Concept: Polynomials
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