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8th Mathematics Model Exam - 2

St. Britto Hr. Sec. School - Madurai

8th Mathematics Model Exam - 2-Aug 2020

Time : 2.30 Hours

Part - A

Multiple Choice Question - Answer All Question

A part of the circumference of a circle is called

circular arc
segment
sector
chord

\(\frac { 3 }{ 4 } \div \left( \frac { 5 }{ 8 } +\frac { 1 }{ 2 } \right) \)=

\(\frac { 13 }{ 10 } \)
\(\frac { 2 }{ 3 } \)
\(\frac { 3 }{ 2 } \)
\(\frac { 5 }{ 8 } \)

The product of 7p³ and (2p²)² is

14p¹²
28B⁷
9p⁷
11p¹²

\(\left( 1-\frac { 1 }{ 2 } \right) \times \left( \frac { 1 }{ 2 } -\frac { 1 }{ 4 } \right) \div \left( \frac { 3 }{ 4 } -\frac { 1 }{ 2 } \right) \)=

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

A closed plane figure formed by three or more sides is called a

quadrilateral
pentagon
triangle
polygon

The standard form of \(\frac { 3 }{ 4 } +\frac { 5 }{ 6 } +\left( \frac { -7 }{ 12 } \right) \) is

\(\frac { 1 }{ 22 } \)
\(\frac { -1 }{ 2 } \)
\(\frac { 1 }{ 12 } \)
1

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

monomial
binomial
trinomial
none of these

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

6x⁴y²
8x²y²
6x²y²
-6x²y

Which of the following pairs is equivalent?

\(\frac { -20 }{ 12 } ,\frac { 5 }{ 3 } \)
\(\frac { 16 }{ -30 } ,\frac { -8 }{ 15 } \)
\(\frac { -18 }{ 36 } ,\frac { -20 }{ 44 } \)
\(\frac { 7 }{ -5 } ,\frac { -5 }{ 7 } \)

Which of the following rational numbers is the greatest?

\(\frac { -17 }{ 24 } \)
\(\frac { -13 }{ 16 } \)
\(\frac { 7 }{ -8 } \)
\(\frac { -31 }{ 32 } \)

\(\pi\) is a ________ number

rational
irrational
whole
natural

The __________ of a combined shape is the sum of all areas of all areas of simpler shapes on it.

perimeter
face
volume
area

How many 2 digit numbers contain the number 7?

10
18
19
20

\(\frac{5}{6}\div\frac{6}{2}\) is

\(\frac{5}{2}\)
\(\frac{2}{5}\)
\(\frac{5}{18}\)
\(\frac{30}{12}\)

\(\frac{1}{2}+\frac{6}{4}\) is

\(\frac{6}{6}\)
\(\frac{6}{4}\)
\(\frac{2}{1}\)
None of these

Part - B

Generic 2 - Answer All Question

There are 2 vegetarian entry options and 5 meat entry options on a dinner menu. What number of ways one can opt a dinner for anyone of it?
Find the perimeter and area of the combined figures given below. \(\left( \pi =\frac { 22 }{ 7 } \right) \)

Factorize the following :3y +6

Expand using appropriate identitie
(2m+n)(2m+p)

Find the area of the combined figure given which is got by joining of two parallelograms

What is the least number of planes that can enclose a solid? What is the name of the solid?

Find the length of arc if the perimeter of sector is 45 em and radius is 10 cm.

Find the product of (m²-n)(5m²n²-n²)

Rani take a survey with five 'yes' or 'No' answers. How many different ways could she complete the survey?

The pairs are equivalent rational numbers?
\(\frac { -6 }{ 4 } ,\frac { 33 }{ -22 } \)

Identify the errors and correct them. (4n)²−2n+3=4n²−2n+3

Match the following

a) 4y² × −3y - (i) 20x²y − 20x

b) −2xy(5x²−3) - (ii) 5x³−5xy²+5x² y

c) 5x(x²−y²+xy) - (iii) 4x² −9

d) (2x+3)(2x−3) - (iv) −12y3

e) 5x(4xy − 4) - (v) −10x³y+6xy

A) iv, v, ii, i, iii
B) v, iv, iii, ii, i
C) iv, v, ii, iii, i
D) iv, v, iii, ii, i

Factorize:x²+xy+8x+8y

Expand (xy +yx)²

Fill in the boxes: \(\\ \\ \\ \\ \\ \\ \\ \\ \\ \frac { \boxed { } }{ 66 } =\frac { 70 }{ \boxed { } } =\frac { 28 }{ 44 } =\frac { \boxed { } }{ 121 } =\frac { 7 }{ \boxed { } } .\)

Find the missing term: y²+(-)x+56=(y+7)(y+-)

Part - C

Generic 3 - Answer All Question

Factorize r² - 12x + 20

Divide 76x 5y³ z³ \(\div\)19x²y²

Find the product of the following.
\(\cfrac { -8 }{ 5 } { x }^{ 2 }{ yz }^{ 2 }by-\cfrac { 3 }{ 4 } { xy }^{ 2 }z\)

Give the net pattern for a tetrahedron.

Simplify \(\frac{9}{27}+\frac{18}{39}\)

Find the product of the following
3ab²c³ by 5a³b²c

The product of two rational numbers is \(\frac{-28}{81}\). If one of the number is \(\frac{14}{27}\). find the other number.

One roll of ribbon is \(18\frac { 3 }{ 4 } \) m long. Sankari has four full rolls and one – third of a roll. How many meters of ribbon does Sankari have in total?

Add: \(\frac { -5 }{ 9 } ,\frac { -4 }{ 3 } ,\frac { 7 }{ 12 } \)

Subtract \(\left( -2\frac { 6 }{ 11 } \right) \) from \(\left( -4\frac { 5 }{ 22 } \right) \)

Part - D

Generic 5 - Answer All Question

Simplify \(\left( \frac { -7 }{ 18 } \times \frac { 15 }{ -7 } \right) -\left( 1\times \frac { 1 }{ 4 } \right) +\left( \frac { 1 }{ 2 } \times \frac { 1 }{ 4 } \right) \)

Verify associative property for addition of rational numbers for \(a=\frac{5}{6}, b=\frac{-3}{4},c=\frac{4}{7}\)

Factorize
x¹⁶-y¹⁶+x⁸+y⁸

In the figure AOBCA represents a quadrant of a circle of radius 3.5cm D with center 'O' calculate the area of the shaded portion \(\left( \pi =\frac { 22 }{ 7 } \right) \)

Factorize
9-a⁶+2a³-b⁶

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