List of top Mathematics Questions asked in CBSE Class VIII

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.

Subtract 4p²q – 3pq + 5pq² – 8p + 7q – 10 from 18 – 3p – 11q + 5pq – 2pq² + 5p²q

For each of the following numbers, find the smallest whole number by which it should be divided so as to get a perfect square number. Also find the square root of the square number so obtained. 

1. 252 
2. 2925 
3. 396 
4. 2645 
5. 2800 
6.  1620

Find the length of the side of a square whose area is \(441 \;m^2\)

Solve the linear equation: \(\frac{3t-2}{4}-\frac{2t+3}{3}=\frac{2}{3}-t\)

Solve the linear equation: \(m-\frac{m-1}{2}=1-\frac{m-2}{3}\)

Subtract 3xy + 5yz – 7zx from 5xy – 2yz – 2zx + 10xyz

Evaluate

1. \(\frac{ (8^{−1}× 5^3)}{2^{−4}} \)
2. \((5^{−1}× 2^{−1})×6^{−1}\)

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

 

Find the product.
(i) (5 – 2x) (3 + x) 
(ii) (x + 7y) (7x – y) 
(iii) (a²+ b) (a + b²) 
(iv) (p² – q²) (2p + q)

Solve and check result: \(x = \frac{4}{5}(x+10)\)

Add the following. l² + m², m² + n², n² + l², 2lm + 2mn + 2nl

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.

 

Subtract 4a – 7ab + 3b + 12 from 12a – 9ab + 5b – 3

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?

Factorise the following expressions 

1.  \(7x - 42\) 
2.  \(6p - 12q\) 
3.  \(7a ^2 + 14a\) 
4.  \(-16z + 20z ^3\) 
5.  \(20l^ 2m + 30\, alm\) 
6.  \(5x^ 2 y - 15xy^2\) 
7.  \(10a^ 2 - 15b^ 2 + 20c^ 2 \)
8.  \(-4a^ 2 + 4ab - 4 ca\) 
9.  \(x ^2 yz + xy^2 z + xyz^2\)
10.  \(ax^2 y + bxy^2 + cxyz\)

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.