List of top Mathematics Questions asked in CBSE Class VIII

Draw a pie chart showing the following information. The table shows the colours preferred by a group of people.
 

Colours	Number of people
Blue	18
Green	9
Red	6
Yellow	3
Total	36

Factorise the following expressions. 

1.  \(a^ 2 + 8a + 16 \)
2. \(p^ 2 - 10p + 25 \)
3. \(25m^2 + 30m + 9 \)
4. \(49y^ 2 + 84yz + 36z ^2 \)
5. \(4x^ 2 - 8x + 4 \)
6. \(121b ^2 - 88bc + 16c ^2 \)
7. \((l + m) ^2 - 4lm \) (Hint: Expand \((l + m) ^2 \) first)
8.  \(a^ 4 + 2a ^2b ^2 + b^ 4\)

(a) Add: p ( p – q), q ( q – r) and r ( r – p) 
(b) Add: 2x (z – x – y) and 2y (z – y – x) 
(c) Subtract: 3l (l – 4 m + 5 n) from 4l (10 n – 3 m + 2 l) 
(d) Subtract: 3a (a + b + c) – 2 b (a – b + c) from 4c (– a + b + c)

The adjoining pie chart gives the marks scored in an examination by a student in Hindi, English, Mathematics, Social Science and Science. If the total marks obtained by the students were 540, answer the following questions: 

1. In which subject did the student score 105 marks? (Hint: for 540 marks, the central angle = 360°. So, for 105 marks, what is the central angle?) 
2. How many more marks were obtained by the student in Mathematics than in Hindi? 
3. Examine whether the sum of the marks obtained in Social Science and Mathematics is more than that in Science and Hindi. (Hint: Just study the central angles).

List the outcomes you can see in these experiments. 

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.

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 \(x, y, z\).

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.

Season	Number of votes
Summer	90
Rainy	120
Winter	150

 

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)

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.

 

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.
  

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