List of top Mathematics Questions asked in CBSE Class VIII

A survey was made to find the type of music that a certain group of young people liked in a city. Adjoining pie chart shows the findings of this survey.

From this pie chart answer the following: 

1. If 20 people liked classical music, how many young people were surveyed? 
2. Which type of music is liked by the maximum number of people? 
3. If a cassette company were to make 1000 CD’s, how many of each type would they make?

Obtain the volume of rectangular boxes with the following length, breadth and height, respectively.
(i) 5a, 3a², 7a⁴
(ii) 2p, 4q, 8r
(iii) xy, 2x²y, 2xy²
(iv) a, 2b, 3c

\(ABC\) is a right-angled triangle and \(O\) is the mid point of the side opposite to the right angle. Explain why \(O\) is equidistant from \(A, B\) and \(C\). (The dotted lines are drawn additionally to help you).

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 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: \(2x - 1 = 14 - x\)

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 \(165\degree\)?