List of top Mathematics Questions asked in CBSE Class VIII

List the outcomes you can see in these experiments. 
Spinning wheel
  1. Spinning a wheel 
  2. Tossing two coins together
The adjacent figure \(HOPE\) is a parallelogram. Find the angle measures \(x, y\) and \(z\). State the properties you use to find them.
adjacent figure HOPE
Find the length of the side of a square whose area is \(441 \;m^2\)
Solve the linear equation: \(m-\frac{m-1}{2}=1-\frac{m-2}{3}\)
For each of the following numbers, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also find the square root of the square number so obtained. 
  1. 252 
  2.  180 
  3.  1008 
  4.  2028 
  5.  1458 
  6.  768
Consider the following parallelograms. Find the values of the unknowns \(x, y, z\).
parallelograms
A group of \(360\) people were asked to vote for their favourite season from the three seasons rainy, winter and summer. 
  1. Which season got the most votes? 
  2. Find the central angle of each sector. 
  3. Draw a pie chart to show this information.
SeasonNumber of votes
Summer90
Rainy120
Winter150


 

Solve and check result: \(x = \frac{4}{5}(x+10)\)
Find the.
  1. Probability of the pointer stopping on D in (Question 1-(a))?
  2. Probability of getting an ace from a well shuffled deck of \(52\) playing cards?
  3. Probability of getting a red apple. (See figure below)
Image of Red Apples
Draw a rough figure of a quadrilateral that is not a parallelogram but has exactly two opposite angles of equal measure.
Solve and check result: \(8x + 4 = 3(x - 1) + 7\)
Top surface of a raised platform is in the shape of a regular octagon as shown in the figure. Find the area of the octagonal surface.
raised platform of a regular octagon
 
Suppose 2 kg of sugar contains 9 x 106 crystals. How many sugar crystals are there in (i) 5 kg of sugar? (ii) 1.2 kg of sugar?
The lateral surface area of a hollow cylinder is 4224 cm2. It is cut along its height and formed a rectangular sheet of width 33 cm. Find the perimeter of rectangular sheet.
A 5 m 60 cm high vertical pole casts a shadow 3 m 20 cm long. Find at the same time -
(i) the length of the shadow cast by another pole 10 m 50 cm high
(ii) the height of a pole which casts a shadow 5 m long.
Factorise 
  1.  \(4p^ 2 - 9q ^2\) 
  2.  \(63a^ 2 - 112b ^2\) 
  3.  \(49x^ 2 - 36\) 
  4.  \(16x^ 5 - 144x^ 3\)
  5.  \((l + m)^ 2 - (l - m) ^2\) 
  6.  \(9x^ 2 y^ 2 - 16 \)
  7.  \((x^ 2 - 2xy + y^ 2 ) - z^ 2\) 
  8.  \(25a ^2 - 4b^ 2 + 28bc - 49c ^2\)
When a die is thrown, list the outcomes of an event of getting 
  1. (a) a prime number (b) not a prime number. 
  2. (a) a number greater than 5 (b) a number not greater than 5.
Explain how a square is. 
  1. a quadrilateral 
  2. a parallelogram 
  3. a rhombus 
  4. a rectangle
Find \(x\) in the following figures.
Polygon a   Polygon b
Carry out the multiplication of the expressions in each of the following pairs.
(i) 4p, q + r
(ii) ab, a – b
(iii) a + b, 7a²b²
(iv) a2 – 9, 4a
(v) pq + qr + rp, 0
Find the smallest number by which each of the following numbers must be divided to obtain a perfect cube: 
  1. 81 
  2. 128 
  3.  135 
  4.  192 
  5.  704
Express the following numbers in standard form.
(i) 0.0000000000085
(ii) 0.00000000000942
(iii) 6020000000000000
(iv) 0.00000000837
(v) 31860000000
The following numbers are obviously not perfect squares. Give reason. 
  1. 1057 
  2. 23453 
  3. 7928 
  4. 222222 
  5. 64000 
  6. 89722 
  7. 222000 
  8. 505050
Explain how this figure is a trapezium. Which of its two sides are parallel?
figure KLMN
Two adjacent angles of a parallelogram have equal measure. Find the measure of each of the angles of the parallelogram.