SSC (English Medium) 9th Standard - Maharashtra State Board Question Bank Solutions

State with reason whether the following statement is ‘true’ or ‘false’.

Every rhombus is a rectangle.

If all pairs of adjacent sides of a quadrilateral are congruent then it is called ______.

If opposite angles of a rhombus are (2x)° and (3x - 40)° then value of x is ______.

Diagonals PR and QS of a rhombus PQRS are 20 cm and 48 cm respectively. Find the length of side PQ.

Draw the coordinate system on a plane and plot the following points.

L(-2, 4), M(5, 6), N(-3, -4), P(2, -3), Q(6, -5), S(7, 0), T(0, -5)

Side of a cube is 4.5 cm. Find the surface area of all vertical faces and total surface area of the cube.

Total surface area of a cube is 5400 sq. cm. Find the surface area of all vertical faces of the cube.

Total surface area of a cube is 864 sq.cm. Find its volume.

Construct ΔXYZ, such that YZ = 7.4 cm, ∠XYZ = 45° and XY - XZ = 2.7 cm.

Construct ΔPQR, such that QR = 6.5 cm, ∠PQR = 40° and PQ - PR = 2.5 cm.

Construct ΔABC, such that BC = 6 cm, ∠ABC = 100° and AC - AB = 2.5cm.

Construct ΔPQR, in which PQ - PR = 2.4 cm, QR = 6.4 cm and ∠PQR = 55°. 

Diagonals of a square IJKL intersects at point M, Find the measures of ∠IMJ, ∠JIK and ∠LJK .

State with reason whether the following statement is ‘true’ or ‘false’.

Every square is a rectangle.

State with reason whether the following statement is ‘true’ or ‘false’.

Every square is a rhombus.

If the diagonal of a square is `12 sqrt 2` cm then the perimeter of square is ______.

If diagonal of a square is 13 cm then find its side.

What is the form of co-ordinates of a point on the X-axis?

Any point on the line y = x is of the form ______.

In which quadrant does the point (-4, -3) lie?