SSC (English Medium) 8th Standard - Maharashtra State Board Question Bank Solutions for Mathematics

Draw an obtuse angled Δ STV. Draw its medians and show the centroid. 

Draw an obtuse angled Δ LMN. Draw its altitudes and denote the orthocentre by ‘O’. 

Draw an isosceles triangle. Draw all of its medians and altitudes. Write your observation about their points of concurrence. 

Expand.

(k + 4)³

The diameters PQ and RS of the circle with centre C are perpendicular to each other at C. state, why arc PS and arc SQ are congruent. Write the other arcs which are congruent to arc PS.

Expand.

(7x + 8y)³

Expand.

(7 + m)³

Expand.

(52)³

In the adjoining figure, O is the centre of the circle whose diameter is MN. Measures of some central angles are given in the figure. hence find the following:

1. m∠ AOB and m∠ COD
2. Show that arc AB ≌ arc CD
3. Show that chord AB ≌ chord CD

Expand.

(101)³

Expand.

`(x + 1/x)^3`

Expand.

`(2m + 1/5)^3`

Expand.

`((5x)/y + y/(5x))^3`

Simplify.

(3r − 2k)³ + (3r + 2k)³

Length of the two parallel sides of a trapezium are 8.5 cm and 11.5 cm respectively and its height is 4.2 cm, find its area.

☐ PQRS is an isosceles trapezium l(PQ) = 7 cm. seg PM ⊥ seg SR, l(SM) = 3 cm, Distance between two parallel sides is 4 cm, find the area of ☐ PQRS.

Factorise.

x³ + 64y³

Factorise.

125p³ + q³

Factorise.

125k³ + 27m³

Factorise.

2l³ + 432m³