8th Mathematics Monthly Test - 1 (Algebra )

St. Britto Hr. Sec. School - Madurai

8th Mathematics Monthly Test - 1 (Algebra )-Aug 2020

Time : 2.30 Hours

Part - A

Multiple Choice Question - Answer All Question

Which of the following is correct?

(a - b)² = a² + 2ab + b²
(a - b)² = a² - 2ab + b²
(a-b)²=a²-b²
(a - b)² = a² + 2ab - b²

Volume of the rectangle 1= 2ab, b = 3ac and h = 2ac is _________.

12a²bc²
12a²bc
12a² bc
2ab + 3ac + 2 ac

If the area of a rectangular land is(a²-b²)− sq.units whose breadth is()ab− then, its length is__________

a-b
a+b
a²-b
(a+b)²

If the area of a rectangle is 48m²n³ and whose length is 82mn then, its breadth is______

6mm
8m²n
7m²n²
6m²n²

The product of 7p³ and (2p²)² is

14p¹²
28B⁷
9p⁷
11p¹²

Product of 4p, -7q³, -7pq is _________.

196p²q⁴
196pq⁴
-196p²q⁴
196pq⁴

The missing terms in the product -3m3n X9(_)m⁴n³ are

mn²,27
m²n,27
m²n²,-27
mn²,-27

Common factor of 17abc, 34ab², 51a² b is _________.

17 abc
17 ab
17 ac
17 a²b²c²

Square of (3x - 4y) is _______.

9x²-16y²
6x²-8y²
9x²+ 16y² + 24xy
9x² + 16y²-24xy

The product of a monomial and a binomial is a __________.

monomial
binomial
trinomial
none of these

In a polynomial, the exponents of the variables are always ___________.

integers
positive integers
non negative integers
non-positive integers

On dividing 57p²qr by 114 pq we get __________.

\(\frac{1}{4}\)pr
\(\frac{3}{4}\)pr
\(\frac{1}{2}\)pr
2pr

Product of 6a² - 7b + ab and 2ab is __________.

12a³b - 14ab² + 10 ab
12a³b - 14ab² + 10 a²b²
6a²b - 7b² + 7 ab
12a²b -7ab² + 10 ab

If the area of a square is 36x⁴y²then, its side is______

6x⁴y²
8x²y²
6x²y²
-6x²y

Common factor of 3ab and 2pq is _________.

1
-1
a
c

Part - B

Generic 2 - Answer All Question

Are the following correct?
\(\cfrac { { 10m }^{ 4 } }{ 10{ m }^{ 4 } } =0\)

Find the product of the following.
(10x,5y)

A mason uses the expression x²+6x+8 to represent the area of the floor of a room. If thedecides that the length of the room will be represented by(x+4), what will the width of the room be in terms of x ?

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8th Mathematics Monthly Test - 1 (Algebra )

St. Britto Hr. Sec. School - Madurai

8th Mathematics Monthly Test - 1 (Algebra )-Aug 2020

Part - A

Multiple Choice Question - Answer All Question

Which of the following is correct?

Volume of the rectangle 1= 2ab, b = 3ac and h = 2ac is _________.

If the area of a rectangular land is(a2-b2)− sq.units whose breadth is()ab− then, its length is__________

If the area of a rectangle is 48m2n3 and whose length is 82mn then, its breadth is______

The product of 7p3 and (2p2)2 is

Product of 4p, -7q3, -7pq is _________.

The missing terms in the product -3m3n X9(_)m4n3 are

Common factor of 17abc, 34ab2, 51a2 b is _________.

Square of (3x - 4y) is _______.

The product of a monomial and a binomial is a __________.

In a polynomial, the exponents of the variables are always ___________.

On dividing 57p2 qr by 114 pq we get __________.

Product of 6a2 - 7b + ab and 2ab is __________.

If the area of a square is 36x4y2then, its side is______

Common factor of 3ab and 2pq is _________.

Part - B

Generic 2 - Answer All Question

Are the following correct? \(\cfrac { { 10m }^{ 4 } }{ 10{ m }^{ 4 } } =0\)

Find the product of the following. (10x,5y)

A mason uses the expression x2+6x+8 to represent the area of the floor of a room. If thedecides that the length of the room will be represented by(x+4), what will the width of the room be in terms of x ?

Factorise the following expressions using a3-b3=(a-b)(a2+ab+b2) identity -16y3+2x3

Evaluate 992 using identity

Find the product of the following: (x,y)

Identify the numerical co-efficient of each term in the following expression \(\cfrac { x }{ 3 } +\cfrac { 2y }{ 5 } -xy+7\)

Find the product of (m2-n)(5m2n2-n2)

Factorise the following expressions using a3+b3=(a+b)(a2-ab+b2) identity 64m3+n3

Find the missing term 2y(5x2y−___+3___)=10x2y2−2xy+ 6y3

Divide: 10(4x−8y) by 5(x−2y)

Find the missing term 6xy×_________= −12x3y

simplify \(\cfrac { 14{ p }^{ 2 }{ q }^{ 3 } }{ { 2p }^{ 2 }q } -\cfrac { 12{ p }^{ 3 }{ q }^{ 4 } }{ { 3q }^{ 2 } } \)

Part - C

Generic 3 - Answer All Question

Factorize 4x2-4xy+y2-9z2

Evaluate the following 107X103

Find the product of the following \(\cfrac { 3 }{ 14 } { x }^{ 2 }yby\cfrac { 7 }{ 2 } { x }^{ 4 }y\)

Evaluate the following 95 x 97

Divide -121p4 q2r2 \(\div\) (-11pqr)

Divide 16m3y by 4m2y

Factorize x2 -7x- 8

Find the product of the following \({ 4x }^{ 2 }yzby\cfrac { 3 }{ 2 } { x }^{ 2 }{ yz }^{ 2 }\)

Part - D

Generic 5 - Answer All Question

Factorize (x+1)2-(x-2)2

If 3x + 2y = 12 and xy = 6 find the value of 9x2+4y2

If (x +y) = 13 and xy = 28, find x2+y2

If a + b = 25, a2+ b2 = 225 find ab

The area of a square is 4x2- + 12xy + 9y2-. Find its side.

If x+y=12 and xy=14 find x2+y2

Simplify (5 -x) (3 - 2x) (4 - 3x).

Factorize x16-y16+x8+y8

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8th Mathematics Weekly Test - 4(Measurements)

8th Mathematics Monthly Test -4 ( Algebra )

If the area of a rectangular land is(a²-b²)− sq.units whose breadth is()ab− then, its length is__________

If the area of a rectangle is 48m²n³ and whose length is 82mn then, its breadth is______

The product of 7p³ and (2p²)² is

Product of 4p, -7q³, -7pq is _________.

The missing terms in the product -3m3n X9(_)m⁴n³ are

Common factor of 17abc, 34ab², 51a² b is _________.

On dividing 57p²qr by 114 pq we get __________.

Product of 6a² - 7b + ab and 2ab is __________.

If the area of a square is 36x⁴y²then, its side is______

Are the following correct?
\(\cfrac { { 10m }^{ 4 } }{ 10{ m }^{ 4 } } =0\)

Find the product of the following.
(10x,5y)

A mason uses the expression x²+6x+8 to represent the area of the floor of a room. If thedecides that the length of the room will be represented by(x+4), what will the width of the room be in terms of x ?

Factorise the following expressions using a³-b³=(a-b)(a²+ab+b²) identity -16y³+2x³

Evaluate 99² using identity

Identify the numerical co-efficient of each term in the following expression
\(\cfrac { x }{ 3 } +\cfrac { 2y }{ 5 } -xy+7\)

Find the product of (m²-n)(5m²n²-n²)

Factorise the following expressions using a³+b³=(a+b)(a²-ab+b²) identity 64m³+n³

Find the missing term 2y(5x²y−_+3_)=10x²y²−2xy+ 6y³

Find the missing term 6xy×_________= −12x³y

Factorize
4x²-4xy+y²-9z²

Evaluate the following
107X103

Find the product of the following
\(\cfrac { 3 }{ 14 } { x }^{ 2 }yby\cfrac { 7 }{ 2 } { x }^{ 4 }y\)

Divide -121p⁴ q²r² \(\div\) (-11pqr)

Divide 16m³y by 4m²y

Factorize x² -7x- 8

Find the product of the following
\({ 4x }^{ 2 }yzby\cfrac { 3 }{ 2 } { x }^{ 2 }{ yz }^{ 2 }\)

Factorize
(x+1)²-(x-2)²

If 3x + 2y = 12 and xy = 6 find the value of 9x²+4y²

If (x +y) = 13 and xy = 28, find x²+y²

If a + b = 25, a²+ b² = 225 find ab

The area of a square is 4x²- + 12xy + 9y²-. Find its side.

If x+y=12 and xy=14 find x²+y²

Factorize
x¹⁶-y¹⁶+x⁸+y⁸