List of top Mathematics Questions asked in CBSE Class VIII

Explain why a rectangle is a convex quadrilateral.

Name the quadrilaterals whose diagonals. 

1. bisect each other 
2. are perpendicular bisectors of each other 
3. are equal.

Identify all the quadrilaterals that have 

1. four sides of equal length 
2. four right angles

State whether True or False. 

1. All rectangles are squares. 
2. All rhombuses are parallelograms. 
3. All squares are rhombuses and also rectangles. 
4. All squares are not parallelograms. 
5. All kites are rhombuses. 
6. All rhombuses are kites. 
7. All parallelograms are trapeziums. 
8. All squares are trapeziums.

Find the areas of rectangles with the following pairs of monomials as their lengths and breadths, respectively.
(p, q) ; (10m, 5n) ; (20x² , 5y²) ; (4x, 3x²) ; (3mn, 4np)

Find the measure of \(∠P\) and \(∠S\) if \(\bar {SP} || \bar{RQ}\) in Figure. (If you find \(m∠R\), is there more than one method to find \(m∠P\) ?)

Find \(m∠C \) in Figure if \(\bar {AB}|| \bar{DC}\)

Find the product of the following pairs of monomials.
(i) 4, 7p
(ii) – 4p, 7p
(iii) – 4p, 7pq
(iv) 4p³, – 3p
(v) 4p, 0

In the above figure both \(RISK\) and \(CLUE\) are parallelograms. Find the value of \(x\).

The following figures \(GUNS\) and \(RUNS\) are parallelograms. Find \(x\) and \(y\). (Lengths are in cm)

The adjacent figure \(HOPE\) is a parallelogram. Find the angle measures \(x, y\) and \(z\). State the properties you use to find them.

The measures of two adjacent angles of a parallelogram are in the ratio \(3 : 2\). Find the measure of each of the angles of the parallelogram.

Add the following ab– bc, bc – ca, ca – ab.

Can a quadrilateral \(ABCD\) be a parallelogram if 

1. \(\angle D + ∠B = 180°\)? 
2. \(AB = DC = 8 \;cm\), \(AD = 4 \;cm\) and \(BC = 4.4 \;cm\)? 
3. \(∠A = 70°\) and \(∠C = 65°\)?

Given a parallelogram \(ABCD\). Complete each statement along with the definition or property used. 

1. \(AD\) = ...... 
2. \(\angle \; DCB\) = ...... 
3. \(OC\) = ...... 
4. \(m\; \angle \;DAB + m \;\angle \;CDA\) = ......

Solve and check result: \(8x + 4 = 3(x - 1) + 7\)

Solve and check result: \(2x - 1 = 14 - x\)

Solve and check result: \(4z + 3 = 6 + 2z\)

Solve and check result: \(5x + 9 = 5 + 3x\)

Solve and check result: \(5t - 3 = 3t - 5\)

Solve the following equation and check your result: \(3x = 2x + 18\)

How many sides does a regular polygon have if each of its interior angles is \(165\degree\)?

How many sides does a regular polygon have if the measure of an exterior angle is \(24\degree\)?