List of top Mathematics Questions asked in CBSE Class VIII

Complete the following table of products:

First monomial → Second monomial ↓	2x	–5y	3x²	– 4xy	7x² y	–9x² y²
2x	4x²	. . .	. . .	. . .	. . .	. . .
–5y	. . .	. . .	-15x²y	. . .	. . .	. . .
3x²	. . .	. . .	. . .	. . .	. . .	. . .
– 4xy	. . .	. . .	. . .	. . .	. . .	. . .
7x² y	. . .	. . .	. . .	. . .	. . .	. . .
–9x² y²	. . .	. . .	. . .	. . .	. . .	. . .

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

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

Add the following.2p²q² – 3pq + 4, 5 + 7pq – 3p²q.

Factorise the following expressions

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

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

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

Factorise the following expressions.

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

(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)

Simplify.
(i) (x²– 5) (x + 5) + 25
(ii) (a²+ 5) (b³+ 3) + 5
(iii) (t + s²)(t² – s)
(iv) (a + b) (c – d) + (a – b) (c + d) + 2 (ac + bd)
(v) (x + y) (2x + y) + (x + 2y) (x – y)
(vi) (x + y) (x²– xy + y²)
(vii) (1.5x – 4y) (1.5x + 4y + 3) – 4.5x + 12y
(viii) (a + b + c) (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:

pie chart gives the marks scored in an examination by a student in Hindi, English, Mathematics, Social Science and Science

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?)
How many more marks were obtained by the student in Mathematics than in Hindi?
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.

Spinning wheel

Spinning a wheel
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

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.

252
2925
396
2645
2800
1620

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

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

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

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.

252
180
1008
2028
1458
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.

Which season got the most votes?
Find the central angle of each sector.
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

Probability of the pointer stopping on D in (Question 1-(a))?
Probability of getting an ace from a well shuffled deck of \(52\) playing cards?
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.

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