English Medium कक्षा ९ - CBSE Question Bank Solutions for Mathematics

The sides of a quadrilateral ABCD are 6 cm, 8 cm, 12 cm and 14 cm (taken in order) respectively, and the angle between the first two sides is a right angle. Find its area.

A rhombus shaped sheet with perimeter 40 cm and one diagonal 12 cm, is painted on both sides at the rate of Rs 5 per m². Find the cost of painting.

How much paper of each shade is needed to make a kite given in the following figure, in which ABCD is a square with diagonal 44 cm.

The perimeter of a triangle is 50 cm. One side of a triangle is 4 cm longer than the smaller side and the third side is 6 cm less than twice the smaller side. Find the area of the triangle.

A field is in the shape of a trapezium having parallel sides 90 m and 30 m. These sides meet the third side at right angles. The length of the fourth side is 100 m. If it costs Rs 4 to plough 1 m² of the field, find the total cost of ploughing the field.

In the following figure, ∆ABC has sides AB = 7.5 cm, AC = 6.5 cm and BC = 7 cm. On base BC a parallelogram DBCE of same area as that of ∆ABC is constructed. Find the height DF of the parallelogram.

A design is made on a rectangular tile of dimensions 50 cm × 70 cm as shown in the following figure. The design shows 8 triangles, each of sides 26 cm, 17 cm and 25 cm. Find the total area of the design and the remaining area of the tile.

The following statement is true or false? Give reason for your answer.

There are an infinite number of lines which pass through two distinct points.

The following statement is true or false? Give reason for your answer.

A terminated line can be produced indefinitely on both the sides.

The following statement is true or false? Give reason for your answer.

If two circles are equal, then their radii are equal.

The following statement is true or false? Give reason for your answer.

In the following figure, if AB = PQ and PQ = XY, then AB = XY.

See the given figure and write the following:-

The coordinates of B.

See the given figure and write the following:

The coordinates of C.

See the given figure and write the following:

The point identified by the coordinates (–3, –5)

See the given figure and write the following:

The point identified by the coordinates (2, – 4)

See the given figure and write the following:

The abscissa of the point D.

See the given figure and write the following:

The ordinate of the point H.

See the given figure and write the following:

The coordinates of the point L.

Write the following in decimal form and say what kind of decimal expansion has: 

`36/100`

You know that `1/7=0.bar142857.` Can you predict what the decimal expansions of `2/7, 3/7, 4/7, 5/7, 6/7`  are, Without actually doing the long division? If so, how?

[Hint: Study the remainders while finding the value of `1/7` carefully.]