Papers for 8th class , Mcq's for 8th class

Fazaia Inter College
Maths Notes for 2014-15
LOWER SECONDARY CLASS
(Classes VIII)
COMPILED BY
SIR ASAD
1

Dedication
To
2
Our parents, who have been providing facilities for our education and our teachers, specially
H.M ( Sir nadeam ) who gave me the idea of compiling these work and my friends who have
been encouraging me for completing the maths notes..

ACKNOWLEDGEMENTS
3
The Maths notes has been carried out at the department of Mathematics at Fazaia Inter
College Lahore. The completion of my Maths noteswould not have been possible without the
assistance of many people who gave their support in different ways. I cannot recall how many times
I said “thank you” to these people. To these people I would like to express my gratitude and sincere
appreciation.

Praise to Allah, the most Beneficent, the most merciful and the most Omniscient, who
bestowed upon all the mental abilities and favorable environment to accomplish my work.
I wish to express our gratitude to our teachers for, and especially for his commitment to guide
me through mini project, as well as for the time we have spent reading the various drafts of this mini
project.
I wish to say thanks to all respectable teachers and student. This Maths
noteswould not have been possible without their participation. Quite honestly
many teachers helped me in collection of data.
I would like to acknowledge help and support of Fazaia Inter College,
Lahore.
I express our thanks to my friends.
Note: If you find any mistake, please contact to your concern subject maths
teacher or you can contact to me at facebook on my address
asadshafat@yahoo.com.
Executive Summary
4

5
The Maths notesis about to the opportunity to complete the all Mcq’s of the Oxford book (Grade 8).
This Maths noteshelp the students , specially those do not have the time to prepare the Mcq’s. This
book included the Mcq’s , Slybus break down, Previous papers (1st bi, Mid term, 2nd bi and the
Annual Examination). This project completely cover the syllabus accourding to the Fazaia Inter
college Lahore.
Note: If you find any mistake, please contact to your concern subject maths
teacher or you can contact to me at facebook on my address
asadshafat@yahoo.com.

C O N T E N T S
Serial No. Subject Page No.
1 Syllabus 06-07
2 MCQ’s 08-15
3 1st bi-Monthly 15-15
4 Mid term paper 2011 16-18
5 2nd bi-Monthly paper 2011 19-19
6 2nd bi-Monthly paper 2013 20-20
7 Annual paper 2010 21-24
6

MATHEMATICS
Class – VIII Countdown
Book – 8
Academic
Week Unit/Chapter & Topic
1
28 Mar
(02 Days)
Ice-Breaking at the Session Commencement
Introduction with classes, Overview of Textbooks, Syllabi,
Time Table and General Academic Scheduling
2
01 Apr
Omit Recapitulation: (Pages 1-5)
Unit 1: Operations on Sets, Power Set, Exercise 1, (Pages 6-8)
3
08 Apr
Unit 2: Squares and Square Roots, Square Roots of Decimals, Square Roots of Vulgar
Fractions, Exercise 2, (Pages 09-13)
4
15 Apr
Unit 3: Cubes and Cube Roots, Cubes of Natural Numbers, Cube Roots, Cube Roots of
Negative Integers, Cube Roots of Rational Numbers, (Pages 14-18)
5
22 Apr
Unit 3 (contd): Exercise 3, (Page 19)
Unit 4: Binary System of Numbers, The Binary System, Binary Number Reader,
(Pages 20-23)
6
29 Apr Unit 4 (contd): Exercise 4a, Operations on Binary Numbers, Exercise 4b, (Pages 23-26)
7
06 May
Unit 5: Exponents and Radicals, Laws of Indices, Numbers with Rational Exponents,
Surds, (Pages 27-30)
8
13 May
Operations with Exponents and Radicals, Exercise 5, (Pages 31-32)
Omit Revision: Numbers, Test Paper 1, (Pages 33-35)
9
20 May
First Bi-Monthly Tests
Omit Unit 6: Compound Interest, Compound Interest, Exercise 6, (Pages 36-42)
Omit Unit 7: Stocks and Shares, (Pages 43-48)
Unit 8: Averages: Types of Averages, (Pages 49-52)
10
27 May
First Bi-Monthly Tests
Unit 8 (contd): Exercise 8, (Pages 52-53)
Omit Questions 7, 8 and 11, Omit Test Paper 2, (Page 54)
11
03 Jun
Unit 9 Operations on Polynomials, Multiplication of Polynomials, Exercise 9a,
(Pages 55-56)
10 Jun–18 Aug SUMMER VACATION
(10 Jun – 18 Aug, 13)
EID-UL-FITR
(08 – 09 Aug, 13)
12
19 Aug Unit 9 (contd): Division of Polynomials, Exercise 9b, (Pages 57-58)
13
26 Aug Unit 10: Some Simple Formulae, Cubes of the Sum and Difference of Two Terms
14
02 Sep Unit 10 (contd): Physical Representations of the Formulae, Exercise 10a, (Pages 59-64)
15
09 Sep Unit 10 (contd): Special Products, Exercise 10b, (Pages 64-66)
16
16 Sep
Unit 11: Factorization of Algebraic Expressions, Exercise 11a, (Pages 67-68),
Factorization of Expressions in the Form ax2 + bx + c, Exercise 11b, (Pages 68-70)
17
23 – 30 Sep REVISION
01 – 14 Oct MID-TERM EXAMINATION
15 – 18 Oct EID-UL-AZHA
7

18
21 Oct Unit 12: Basic Operations on Fractions, Operations on Fractions, (Pages 71-74)
Academic
Week Unit/Chapter & Topic
19
28 Oct Unit 12 (contd): Exercise 12, (Pages 74-75)
20
04 Nov Unit 13: More Simple Equations, Algebraic problems, Exercise 13a, (Pages 76-79)
11– 15 Nov (11-12 & 15 Nov) Recap and Review
ASHURA MOHARRAM-UL-HARAM (13-14 Nov)
21
18 Nov
Unit 13 (contd): Problems Involving Simple Equations, Exercise 13b, (Pages 79-81)
Omit Revision: Algebra, Test Paper 3, (Pages 82-85)
22
25 Nov
Unit 14: Axioms and Propositions: Axioms and Postulates, Theorem on Straight Lines,
Exercise 14a, (Pages 86-89)
23
02 Dec
Second Bi-Monthly Tests
Unit 14 (contd): Theorem on Parallel Lines, Exercise 14b, (Pages 89-92)
24
09 Dec
Second Bi-Monthly Tests
Unit 15: Practical Geometry, Distance Between Two Parallel Lines, Bisectors of a
Triangle, Exercise 15a, (Pages 93-95)
25
16 Dec Unit 15 (contd): Construction of Quadrilaterals, (Pages 96-99)
26 – 31 Dec WINTER BREAK (26 – 31 Dec, 13)
26
01 Jan, 2014
(03 Days)
Recap and Review
27
06 Jan Unit 15 (contd): Exercise 15 b, (Page 100)
28
13 Jan
Unit 15 (contd): Circles, Tangents to a Circle, Tangents to a Circle from a Point,
Construction of Tangents to a Circle, Circumference and Diameter of a Circle, Exercise
15c, (Pages 101-104)
29
20 Jan
Unit 16: Areas, Hero’s Formula, Exercise 16a, Area of a Circle, Exercise 16b,
(Pages 105-107)
30
27 Jan
Unit 17: Cylinders, Cones and Spheres, Right Circular Cylinder, Right Circular Cone,
Sphere, (Pages 108-110)
31
03 Feb
Unit 17 (contd) : Sphere, Exercise 17, (Pages 111-112)
Omit Unit 18: Symmetry, (Pages 113-118)
Omit Test Paper 4, (Page 119)
32
10 Feb
Unit 19: Statistics, Collection of Data, Classification and Tabulation of Data,
(Pages 120-123)
33
17 Feb
Unit 19 (contd): Graphical Representation of Data, Arithmetical Descriptors of Statistical
Data, Exercise 19, (Pages 123-128)
Omit Test Paper 5 (Full Syllabus), (Pages 129-131)
34
24 Feb REVISION
03-19 Mar ANNUAL EXAMINATION
8

FAZAIA INTERMEDIATE COLLEGE LAHORE CANTT
PREPARATION FOR THE EXAM
SUBJECT : MATHS
CLASS : VIII MAX.MARKS : 20
(OBJECTIVE) SECTION – A
NOTE: Do all parts. Deleting, overwriting is not allowed. Do not use lead pencil.
Q1. Insert the correct option i.e A/B/C/D in the empty box opposite each part. Each part carries one
mark.
CHAPTER NO 1
(i) Set of natural numbers are
( A ) N= {1, 2, 3……..}(B)W= {0, 1, 2, 3…..}(C)Z= {….-2, -1, 0, 1, 2…..}
(ii) Set of whole number
(A) P= {2, 3, 5, 7…….} (B) W= {0, 1, 2, 3…..} (C) E = {0, 2, 4…..}
(iii) Set of integers
(A)Z= {….-2, -1, 0, 1, 2…..}(B) O = {1, 3, 5…..} (C) E = {0, 2, 4…..}
(iv) Set of prime numbers
(A) N= {1, 2, 3……..} (B) P= {2, 3, 5, 7…….} (C)Z= {….-2, -1, 0, 1, 2…..}
(v) If A is a set which is equal to {1, 2, 3} then the set of all the subsets of A is called the
(A) Power set of A (B) Empty set (C) Universal set
(vi) The power set of an empty set is not empty. It consists of one element
(A) Ф (B) { Ф} (C) { 1}
(vii) The power set of an empty set is not empty. It consists of ___ element
(A) 3 (B) 2 (C) 1
(viii) To find the power set of a set, we can use the formula
(A) P(a)=2k (B) P(a)= (C) P(a)=k
(ix) If A is a subset of a Universal set U, then the complement of A, written as
(A) (B) Non of these
CHAPTER NO 2
(i) Perfect squares always end with
(A) 2 (B) 0, 1, 4, 5, 6, or 9 (C) Both A and B
(ii) The number of zeros at the end of a perfect square number is always
(A) Odd (B) Even (C) None of these
(iii) Squares of even numbers are always
(A) Odd (B) Even (C) Non of these
(iv) For any n is a
(A) Radical (B) Radicand (C) Index of the radical
(v) For any 2 is a
(vi) For any n is a
CHAPTER NO 3
(i) If the prime factors can be grouped into triplets of equal factors, then the number is said to be
(A) A perfect cube (B) Not a cube (C) Both of them
(ii) A natural number is said to be a perfect cube if it is the cube of another ____
(A) Non natural number(B) Natural number (C) Non of these
(iii) There are only ____
(A) 5 (B) 10 (C) 3
(iv) The cube of a natural number which is a multiple of 3 is a multiple of
(A) 4 (B) 7 (C) 27
9

(v) The cube of a natural number of the form 3n+1 is a natural number of
(A) Opposite number (B) Same form (C) Both
(vi) The cube of a negative integer is also
(A) Negative (B) Positive (C) Non of these
CHAPTER NO 4
(i) The number system that we use in our every day mathematical calculation is
(A)Arabic numeral system (B) Decimal system (C)Both a and b
(ii) Decimal system is called_____
(A)Base 10 system (B) Base 5 system (C) Octal system
(iii) Octal system which is a base on the number
(A) 8 (B) 5 (C) 10
(iv) Penta system which is a base on the number
(A) 8 (B) 5 (C) 10
(v) Binary system which is a base on the number
(A) 2 (B) 5 (C) 10
(i) In the expression , 2 is called the
(A) Base (B) Exponent (C) Index of the power
(ii) In the expression , 6 is called the
(A) Base (B) Exponent
CHAPTER NO 5
(i) In the expression , 64 is called the
(A)Base (B)Exponent
(C) Index of the power (D) Sixth power of the base2
(ii) Radicals like etc which cannot be reduced to rational numbers, i. e. they do
not give a terminating or non terminating recurring decimal. These radicals are
(A) Irrational and are called surds (B) Rational
(iii) Radical of the form , which cannot be reduced to a rational number is called
(A) A surd of order 2 (B) Non of these (C) A surd of order n
(iv) All surds are radicals, but
(A) Not all radicals are surds (B) Not all surds are radicals
(v) All surds are irrationals but not
(A) All rational numbers are surds (B)Non of these
(C) All irrational numbers are surds
(vi) theses surds are known as
(A)Mixed surds (B) Not a surds (C) Both a and b
(vii) Two mixed surds are said to be similar if their irrational parts are
(A)Opposite (B) Same (C) Non of these
CHAPTER NO 6
(i) Formula of compound interest is
(A) A – P (B)P- A (C)Non of these
(ii) Formula of Simple interest is
(A) (B) (C)
(iii) Formula of Amount is
(A) {1+ (B)P{1 (C)P{1+
CHAPTER NO 8
(iv) There are __ kinds of averages
(A) 2 (B)1 (C)3
CHAPTER NO 9
10

(i) Sometimes the dividend is not divisible exactly by the divisor, resulting
in a non zero remainder. Such divisions are known as _____divisions
(A) Exact (B) (B) Inexact (C) Non of these
(i) what is the formula of x3
- 23=
(A) (x+2)(x2+2x+4) (B) (x-2)(x2+2x-4) (C) (x-2)(x2-2x+4) (D)(x-2)(x2+2x+4)
(ii) what is the continued product of m+1,m-2,m+3
(A)m3-2m2+5m-6 (B) m3+2m2-5m+6 (C) m3-2m2-5m-6 (D) m3+2m2-5m-6
(iii) (x+3)3=
(A) x3+ 9x2+27x+27(B) x3+ 9x2-27x+27 (C) x3-9x2+27x-27 (D) x3+ 9x2+27x-27
(iv) What is the circumference of the circles with radius 7cm
(A) 24cm (B) 7cm (C) 22cm (D) 44cm
(v) If radius=r=2Ω what is the circumference of circle___
(A) 4 Ω2 (B) 2Ω2 (C) 3Ω2 (D)None of these
(vi) Area of square=
(A) l2 (B) l3 (C) l4 (D) l*b
(vii) The sides of the triangle are 7cm, 8cm and 5 cm respectively.fine S=semi
perimeter
(A) 30 (B) 20 (C) 10 (D) none of
these
(viii) Area of triangle=
(A)1/2
(base)(altitude (B) 1/2
(base) (C) none of these
(ix) Perimeter of rectangular =____
(A) 2(l+b) (B) (l+b) (C) 2(l-b) (D) ½(l+b)
(x) Area of Quadrilatera______
(A) ½ (diagonal) (sum of offsets) (B)½ (diagonal)
( C ) (Perpendicular on diagonal)
(xi) Squares of even numbers are always
(A) Odd (B) Even (C) None of these
(xiv) In class interval 60–62,63–65,66–88,69–71 and 72–74
then the class marks of the middle class is ___________
(A) 65 (B) 66 (C) 67 (D) 68
(xv) The solution set of 3x+2< 8 is ___________ (when xÎw)
(A) {0,1} (B) {0,1,2} (C) {0,2} (D) {1,2}
CHAPTER NO 9.1
(ii) Sometimes the dividend is not divisible exactly by the divisor, resulting
in a non zero remainder. Such divisions are known as _____divisions
Page57
(A) Exact (B) Inexact (C) Non of these
(xii) Dividend=_____ Page57
(A) Quotient x Divisor + Remainder (B) Quotient x Divisor – Remainder
(C) Quotient - Divisor + Remainder
(xiii) What is the continued product of m+1,m-2,m+3 Page56
(B)m3-2m2+5m-6 (B) m3+2m2-5m+6 (C) m3-2m2-5m-6 (D) m3+2m2-5m-6
CHAPTER NO 10
(xiv) (x+3)3=
(A)x3+ 9x2+27x+27 (B) x3+ 9x2-27x+27 (C) x3-9x2+27x-27 (D) x3+ 9x2+27x-27
(xv) (x+3)2=
(A) x2- 6x+9 (B) x2+ 6x-9 (C) x2+ 6x+9 (D) Non of these
(xvi) Evalute a3+9a2+27a+30, when a =3
(A) 229 (B) 209 (C) 210 (D) 219
(xvii) X2-Y2=
11

(A) (X+Y)(X+Y) (B) (X-Y)(X-Y) (C) (X-Y)(X+Y)
CHAPTER NO 11
(xviii) X3+Y3=
(A) (X-Y)( X2-XY+Y2) (B) (X+Y)( X2-XY+Y2)
(B) (C) (X+Y)( X2-XY-Y2) (D)Non of these
(xix) Factorize x3+11x+30
(A) (x+5)( x+6) (B) (x+5)( x-6) (C) (x-5)( x+6)
CHAPTER NO 12 Page 71
(xx) All fractions are rational numbers but not
(A) All irrational numbers are fractions (B) All rational numbers are fractions
CHAPTER NO 13
(xxi) An equeation involving one unkonw is called
(A) Complex equation (B) Not a equation(C) A simple equation
CHAPTER NO 14
(xxii) There are an _____ number of points in a line.
(A)Infinite (B) Finite (C) None of these
(xxiii) There are an _____ number of lines in a plane.
(A)Finite (B) Infinite (C)Non of these
(xxiv) Two distinct points determine a line____
(A) Uniquely (B) Not uniquely (C) None of these
(xxv) When a straigh line intersects two parallel lines, the corresponding angles
are_____
(A)Equal (B) Not Equal (C) None of these Page86
(xxvi) If a line cuts two other lines and if the corresponding angles are equal , then the
two lines are_____
(A) Perpendicular (B) Parallel (C) None of these
(xxvii) If two straight lines intersect, the verticaly opposite angle are____
(A) Not equal (B) Equal (C) None of these Page87
(xxviii)Two straight lines in the same plane are parallel if
(A)They do not meet (B) They do meet (C) None of these
(xxix) If a straight line intersects two parallel lines then___
(A) The alternate angles are not equal
(B) The alternate angles are equal (C) None of these
(xxx) The straight lines perpendicular to the same straight line are _____ to each other
(A)Not parallel (B) Parallel(C) None of these Page91
CHAPTER NO 15
(xxxi) A circle consists of a set of points on a plane, ______on the same plane.
(A) Equidistant from different point (B)Not equidistant from a fixed point
(xxxii) A tangent to a circle is a line which meets the circle at only ____ point.
(A) One (B) Two (C) None of these
(xxxiii)No tangent can be drawn to a circle from a point.
(A)Out side the circle(B) inside the circle
(xxxiv)circumference of a circle=
(A)2π r (B) π r (C) π r2
(xxxv) π
(A) Circumference of a circle/2 (B) Circumference of a circle/2π r
(C) Circumference of a circle/r (D) Circumference of a circle/2r
12

(xxxvi)If in figure ∟AOD=1320 so what is ∟AOC=____
(A) 420 (B) 400 (C) 380 (D) 480
(xxxvii) If what is your conclusion___
(A) Tangents to the circle from a point out side the circle are not equal in
measurement.
(B) Tangents to the circle from a point out side the circle are equal in
measurement.
(C) None of these
(xxxviii) What is the circumference of the circles with radius 7cm
(A) 24cm (B) 7cm (C) 22cm (D) 44cm
(xxxix)If radius=r=2Ω what is the circumference of circle___
(A) 4 Ω2 (B) 2Ω2 (C) 3Ω2
CHAPTER NO 16
(xl) Area of square=
(A) l2 (B) l3 (C) l4 (D) l*b
(xli) The sides of the triangle are 7cm, 8cm and 5 cm respectively.fine S=semi
perimeter
(A) 30 (B) 20 (C) 10
(xlii) Area of triangle=
(A)1/2
(base)(altitude (B) 1/2
(base)
(xliii) Perimeter of rectangular =____
(A) 2(l+b) (B) (l+b) (C) 2(l-b) (D) ½(l+b)
(xliv) Area of Quadrilatera______
(A) ½ (diagonal) (sum of offsets) (B)½ (diagonal)
( C ) (Perpendicular on diagonal)
(i) Area of a rectangle is _____
(B) L x b (B) b x h (C) None of these
(ii) Area of square is _____
(A) l2 (B) l3 (C) l x b
(iii) Area of a triangle is _____
1 (B) bxl
(A) bxh
2
1 (C) b x l
2
13

(iv) Area of trapezium is _____
1 + (B) ( )
(A) (a b)r
2
1 a +b (C) (a b)h
2
1 +
2
(v) Cost price of land is _____
(A) Area of plot x no of plot (B) Area of plot x rat x no of plot
(vi) Area of quadrilateral is _____
1 Diagonal x sum of offsets (B) 2
(A) 2
1 xb (C) 2
1 (a+b)h
(vii) Area of triangle is _____
(A) (s -a)(s -b)(s -c) (B) s(s -a)(s -b) (c) s(s -a)(s -b)(s -c)
(viii) Semi-perimeter s=
a +b (B) 2
(A) 2
a +b +c
(ix) Area of a circle is _____
(A) pr 2 (B) pr 3
(x) Area of circular park if two radius are given R=8,r=2
(A) p (R-r) (B) (R2-r2) (C) p (R2-r2)
CHAPTER NO 17
(i) Volume of a right circular cylinder is _____
(C) R2h (B) π r2h (C) None of these
(ii) Area of the curved surface of a right circular cylinder is _____
(A) 2π rh (B) π rh (C) 2π r
(iii) Total surface area of a right, circular cylinder is _____
(B) 2 π r(h+r) (B) 2 π (h+r) (C) 2 r(h+r)
(iv) Volume of aright circular cone is _____
1pr (B) prh
(A) 2
3
1 (C) r2h
3
1p
3
(v) Area of the curved surface of a right, circular cone is _____
(A) p r (B) p rl (C) p l
(vi) Total surface area of a right circular cone is _____
(A) p r(l+r) (B) p r(h+r) (C) p r(l+h)
(vii) The length of the line segment joining the vertex to any point on the circumference of
the base is called the _____
(A) Base (B) Circle (C) Slant height
(viii) A line segment drawn from the centre to the bounding surface is called a _____
(A) Centre of sphere (B) Radius
(ix) Volume of a sphere of radius _______
4pr (B) 3
(A) 3
3
3pr
4
(x) Surface area of a sphere is _____
(A) p r2 (B) 4 p r3 (C) 4 p r2
CHAPTER NO 19
(i) Volume of a right circular cylinder is _____
(A) r2h (B) λr2h (C) None of these
(ii) Area of the curved surface of a right circular cylinder is _____
(A) 2λrh (B) Variables
(iii) Statistical analysis is not possible without _____ data.
(A) Quantitative (B) Qualitative
14
AA

(iv) Those data which are collected for the f irst time and are, therefore, original in
character is known as _____
(A) Secondary data (B) Primary data
(v) Those data which have already been collected by someone and have passed through
statistical procedures at least once is called _____
(A) Secondary data (B) Primary data
(vi) Investigator himself has to collect the information from the available sources is called
_____
(A) Direct personal investigation(B)indirect oral investigation(C)None of
these
(vii) The data may be either published or unpublished is called _____
(A) Both A & B (B) Primary data (C) Secondary data
(viii) The process of arranging data in classes or groups, according to resemblances and
similarities, is called _____
(A) Class marks (B) Classification
(ix) Process, data are classified on the basisi of the value or the quantities and a divided
into a number of classes, each of which is called a _____
(A) Class size (B) Class- interval
(x) the limits within which a class interval lies are known as the _____
(A) Class marks (B) Class limits
(xi) The difference between the two class limits is known as the _____
(A) Class marks (B) Class size
(xii) The number of items falling in any class interval is called the _____
(A) Class mark (B) Class size
(xiii) A distribution of data, showing the class intervals and the corresponding frequencies
is known as _____
(A) Frequency distribution (B) Class limits
(xiv) The difference between the maximum and the minimum scores is known as the _____
of the data
(A) Class size (B) Range (C) Class intervals
(xv) Graphical representations of continuous frequency distribution tables is known as
_____
(A) Histograms (B) Bar graphs
(xvi) A mean is simply an _____
(A) Arithmetic average (B) Weighted average
15

SUBJECT : MATHS
CLASS : VIII MAX.MARKS : 25
SECTION – A
NOTE: Do all parts. Deleting, overwriting is not allowed. Do not use lead pencil.
Q1. Encircle the correct option i.e A/B/C/D. Each part carries one mark.
(i) Members of set of integers are:
(B) {0, ±1,±2, ±3,…} (B) {±2, ±3, ±4,..}
(C) {1, 2, 3, ….} (D) {o, 1, 2, 3, …}
(ii) In 2 4 =2, index of radical is:
2
(A) 4 (B) 4 (C) 2 (D) 4
(iii) Binary System is based on the number:
(A)6 (B) 7 (C) 10 (D) 2
(iv) 1001 2 + 1111 2
(A) 11010 2 (B) 11101 2 (C) 11000 2 (D) 10010 2
(v) In (2-3)5, Base is equal to:
(A) 2 (B) 5 (C) 2-3 (D) -3
SECTION – B
NOTE: Attempt any five questions (20)
Q2 If U= {1, 2, 3, 4, 5, 6, 7}, A={1, 2, 5, 7 } and B={1, 3, 6, 7} . Find (AÇ B)’ and A’
Q3 Find the positive square roots of
9 b) 50.6944
a) 716
Q4 Find the cube root of 9261.
Q5 Change the following numbers to binary numbers by division:
a) 39 b) 120
Q6 Find the quotient of the following binary numbers division :
1011010 2 ¸ 110 2
Q7 Evaluate:
5
a) 8
1
(243) -
(256) b) 5
Q8 Simplify
3 135 -3 40
16

MID-TERM EXAMINATION -2011
Question Paper : Class VIII
Subject : Mathematics
Time Allowed: 3 Hours
FAZAIA SCHOOLS & COLLEGES
Roll No : _____________________
Name : _____________________
Class : _____________________
Section : _____________________
SECTION-A (Marks : 20)Total Marks: 100Time Allowed : 30 Minutes
Note: All parts of this section are to be answered on the question paper itself. It should be
completed in first 30 minutes and handed over to the supervisory staff.
Deleting/overwriting is not allowed. Do not use lead pencil.
Q.1 Choice of correct answer should be indicated by writing A/B/C/D in the box.
(i) (A ÇB)¢ = _______.
(A) A¢ È B¢ (B) A È B (C) (A ÇB) (D)
A¢ Ç B¢
(ii) The symbol “ ” denotes only _____ value of square root.
(A) negative (B) positive
(C) positive and negative (D) multiply and divide
(iii)
3 - 27 =
_____chpter3
1331
(A) 11
3 (B) 11
-3 (C)
2
3
ö çè
æ (D)
11
÷ø
2
3
æ-
ö 11
çè÷ø
(iv) For any number ‘n’ , 3 n is called a radical and ‘n’ is a _____
(A) Radical (B) Radicand (C) Cube (D)
Dividend
(v) The Penta-based system which is based:
(A) 6 (B) 8 (C) 10 (D) 5
(vi) 2 2 1110 -101 = _____.
(A) 11012 (B) 11102 (C) 10012 (D)
2 1000
(vii) Two mixed surds are said to be_____ if their irrational parts are same.
(A) Dissimilar (B) Mixed (C) Similar (D) A &
B
(viii) 4 8 ¸ 2 2 = _____
(A) 2 6 (B) 2 8 (C) 8 (D) 4
(ix) The cube of natural number of the form 3n+2 is a natural number of
_____
(A) same form (B) opposite form (C) natural form (D) odd
form
(x) 5
8
(256) = _____
(A) 40 (B) 35 (C) 256 (D) 32
(xi)
ïþ
ïý ü
ïî
ïí ì
P 1 r
ö çè
æ + 1
- ÷ø
100
t
= _____
(A) Amount (B) S.I (C) C.I (D) P – A
17

(xii) There are two kinds of average, one is simple average other is _____.
(A) Qualitative average (B) Quantitative average
(C) Weighted average (D) A & B
(xiii) Dividend = Quotient x _____ + Remainder.
(A) Dividend (B) Divisor (C) Remainder (D)
Quotient
(xiv) a3 + 3a2b + 3ab2 + b3 = _____
(A) a3 + b3 (B) (a -b)3 (C) (a +b)3 (D)
a3 -b3
(xv) a3 - b3 - 3ab(a - b) = _____.
(A) (a +b)3 (B) (a -b)3 (C) (a +b)3 (D)
a3 -b3
(xvi) a3 + b3 = _____.
(A) (a + b)(a2 - ab + b2 ) (B) (a + b)(a2 + ab + b2 )
(C) (a + b)(a2 + ab - b2 ) (D) (a - b)(a2 + ab + b2 )
(xvii) (a2 + 2ab + b2 ) ¸ (a + b)=_____.
(A) a -b (B) a2 + b2 (C) a3 + b3 (D) a+b
(xviii
Cube root of æ
27
) 64
÷ø
ö çè
is _____
3 (B) 4
(A) 16
9 (C) 4
-3 (D) 3
4
(xix) am ´ an =____ .
(A) am-n (B) am+n (C) am´n (D)
(m+n)a
(xx) 2 2 111 ´11 = _____ .
(A) 101012 (B) 110012 (C) 100112 (D)
10112
18

MID-TERM EXAMINATION – 2011
Questions in Sections ‘B’ and ‘C’ are to be answered on the separately provided answer
book. Write your answers neatly and legibly.
Section – B (Marks: 40)
Note: Attempt any TEN questions. Each question carries FOUR marks.
Q.2 Find ‘B’ when A = {2,4,6,8}
A Ç B = {6,8} , A È B = {2,4,5,6,7,8}
Q.3 What is the number which when multiplied by itself gives 944.578756?
Q.4 Find cube root of 274625.
Q.5 Find the quotient of the following binary numbers division:
100000102 ¸ 10102
Q.6 Simplify
27 + 81
3
Q.7 Find the compound interest on Rs 4000 for 2 years at 4% per annum.
Q.8 The average age of Sadia, Ali and Huma is 16 years and that of Ali, Huma and
Naila is 12 years. If Sadia is 13 yeares old, calculate Naila’s age.
Q.9 Find the product of a2 + b2 + c 2 - ab - bc - ca,a + b + c
Q.10 Divide 1-16x4 by 8x3 + 4x2 + 2x + 1
Q.11 1 If a - 1 = 5
find the value of a 3
100
a
- - .
3
a
Q.12 Find the value of m3 + n3 - 9mn , if m + n + 3 = 0
Q.13 Find product of (xp + yq )(x2p - xpyq + y2q )
Q.14 Evaluate
4 9
10
10
3 1
8
8
3 1
5
5
+ -
Section – C (Marks: 40)
Note: Attempt any FIVE questions. Each question carries EIGHT marks.
Q.15 The product of two positive numbers is 25
9 18 and one of them is three times of
other.
Find the numbers.
Q.16 (a) The volume of a cubical box is 0.064 m3 . Find the length of each edge.
(b) Find the cube root of – 17576.
Q.17 (a) Find the product of 2 2 10101 ´1010
(b) Simplify
98 ´ 8 ´
27
´ ´
12 32 42
Q.18 Find the rate percent per annum if Rs 8000 amounts to Rs 9261 in 9 months,
interest being compounded quarterly.
Q.19 Evaluate a3 -b3 when a -b = 2 and a2 + b2 = 4 .
Q.20
2a 2 4a 4 4 2 a 4 a 2
æ + ö æ + - ö - æ - ö æ + + ö çè ø¸èç ø¸ èç ø¸èç ø¸
Simplify 2 2
2 2
a a a a
Q.21 Divide a3 + b3 + c3 - 3abc by a + b + c
19

2 nd – BIMONTHLY EXAMINATION Nov, 2011
SUBJECT: Math CLASS:VIII MAX.MAR: 25
Q1. Encircle the correct option i.e. A/B/C/D. Each part carries one mark.
(i) Factorization of the expression x2+9x+20=_____
(A) (x+4) (x-5) (B) (x-4)(x+5) (C) (x+4)(x+5) (D) (x-4)(x-5)
(ii) Factorization of the expression a3+8b3=_____
(A) (a+2b)(a2-2ab+4b2) (B) (a-2b)(a2+2ab+4b2) (C) (a+2b)(a2-2ab-4b2)
2 2
a b
a -
b
-
(iii) The lowest term obtained on simplifying 3 3
a b
-
+ (B) a2 ab b2
(A) a b
a -
b
- +
a b
+
- (D) a2 ab b2
(C) a b
a +
b
+ +
x 2 -
y
2
(x +
y)
(iv) The lowest term obtained on simplifying 2
x +
y
-
(A) x y
x -
y
+
(B) x y
(C) (x+y)2 (D) (x-y)2
(v) a3+b3=(a+b)(_____)
(A) (a+b) (B) (a2+ab+b2) (C) (a2-ab+b2) (D) a2+b2
SECTION – B
Attempted any four questions. (4x5=20)
Q2. Resolve into factors
(a) x2-20x+36 (b) x2+2x-15 (05)
a 3 b
3
a -
b
- ¸ 2 2
Q3. Simplify 2 2
a 2 ab b
2
a + 2ab +
b
+ + (05)
Q4. Simplify
2
+ +
a 7 a 12
´
9 20
2
+ +
a ab
2
+ +
a a (05)
+ +
a a
3 2
5 6
2
3
x - + 2
Q5. Solve the equation 6
7
x - = 4
10
x - (05)
3x - 4
Q6. Solve the equation 5
2x -1 = 1
Q7. Divide 50 into two parts such that if 6 is subtracted from one part and 12 is added to the
second part, we get same number.
2 nd – BIMONTHLY EXAMINATION Nov, 2013
20

SUBJECT: Math CLASS:VIII MAX.MAR: 25
Q1. Encircle the correct option i.e. A/B/C/D. Each part carries one mark.
(i) a3+b3=
(A) (a-b)(a2+ab+b2) (B) (a+b) (a2-ab+b2)
(C) (a-b) (a2-ab+b2) (D) (a+b) (a2+ab+b2)
(ii) An equation involving one unknown is called a ______
(A) Simple Equation (B) Complex Equation
(C) Rational Equation (D) Quadratic Equation
(iii) a3+8b3=
(A) (a+2b)(a2+2ab+4b2) (B) (a-2b) (a2-2ab+4b2)
(C) (a+b) (a2-2ab+4b2) (D) (a-2b) (a2+2ab+4b2)
(iv) x3+11x+30=
(A) (x+5)(x+6) (B) (x+5)(x-6)
© (x-5)(x-6) (D) (x-5)(x+6)
(v)
=
2 2
a b
a b
-
3 3
-
a -
b
- +
( )
a2 ab b2
(A) ( )
(B)
a +
b
- +
( )
a ab b
( 2 2
a -
b
- +
( )
a2 ab b2
(C ) ( )
a +
b
+ +
( )
a2 ab b2
(D) ( )
Attempt any 4 questions ( 4x5)=20
Q2 The denominator of a fraction is 2 more than numerator. If 1 is added to both,
4
. Find the fraction.
the fraction reduces to 5
1
Q3 Solve the equation. 4
8
1
9
1
3
1
-
+
-
=
-
+
x - x x x
Q4 Simplify
a a
¸ - +
(1 2 ) 2
2
2
3
x a a
2
3
2
2 5 2
4
1 4
a
+
1 8
(2 )
a a
a
a
- +
-
-
-
Q5 Resove into factors ( 3 ) 38( 3 ) 80 a2 - a 2 - a2 - a -
Q6 Factorize
p3 - q3 - p( p2 - q2 ) + q( p - q)2
ANNUAL EXAMINATION -2010
21

Subject : Mathematics Roll No : _____________________
Name : _____________________
Class : _____________________
Section : _____________________
Time Allowed : 3 HoursTotal Marks : 100
Section-A
(Marks : 20)
Time Allowed: 30 Minutes
Note: All parts in this Section are to be answered on the question paper itself. It should be
completed and attached with the answer sheet. Each part carries ONE mark.
Deletion/Overwriting is not allowed. Do not use lead pencil.
Q.1 Choice of correct answer should be indicated by writing A/B/C/D in the box:
(i) Power set of {0} is:
(A) {0} (B) { }
(C) {0}, {1} (D) { {0} , {1} }
(ii) In 5 8 , 8 is:
(A) Radicand (B) Radical
(C) Index (D) Root
(iii) The cube of a natural number which is a multiple of 3 is a multiple of:
(A) 49 (B) 25
(C) 27 (D) 14
(iv) System based on number 5 is:
(A) Octal System (B) Penta-based System
(C) Binary System (D) Decimal System
(v) 5 3 + 2 3 is :
(A) 7 3 (B) 10 3
(C) 7 6 (D) 10 9
(vi) What will be compound interest if the amount is 4326 and principal is 4000.
(A) 4000 (B) 326
(C) 324 (D) 325
(vii) A line which meets the circle at only one point is:
(A) tangent (B) radius
(C) chord (C) diameter
(viii) By dividing (x2 + 3x +2) by (x + 1) we have:
(A) (x2 3x + 2) (B) x + 3
(C) x2 + 2 (D) x + 2
(ix) Formula of (a +b)3 is.
(A) a3 + b3 + 3ab (a+b) (B) a3 - b3 + 3ab (a+b)
(C) a3 + b3 - 3ab (a+b) (D) a3 + b3 + 3ab (a-b)
(x) Factors of x2 + 11x + 30 are:
(A) (x - 5) (x - 6) (B) (x + 5) (x + 6)
(C) (x -5) (x + 6) (D) (x + 5) (x - 6)
(xi) Reducing
2 2 2
12a b c
2
8ab c
to its lowest term, we have:
(A) 3ac (B)
3a2c2
2
22

3ac (D) 3
(C) 2
6ac
(xii) In 3(x+1) + 2x(x – 1) = x – 2, value of ‘x’ is:
3 (B) 3
(A) 4
4
5 (D) 4
(C) 4
-3
(xiii) If two straight lines intersect, the vertically opposite angles are:
(A) equal (B) opposite
(C) unequal (D) greater
(xiv) Circumference of circle is:
(A) 2 λ (B) 2 λ r
(C) λ r (D) 2 r
(xv) Area of a triangle is::
1 b + h
(A) b × h (B) 2
1 b × h (D) 2
(C) 2
1 b – h
(xvi) Area of a circle of radius 7cm is:
(A) 150 sq cm (B) 152 sq cm
(C) 156 sq cm (D) 154 sq cm
(xvii) Volume of right circular cone is:
1 2 (B) λr h
(A) λr h
3
1 2
2
1 (D) r h
(C) λr 2
3
1 2
3
(xviii) The mean of first ten natural numbers is:
(A) 5 (B) 5.5
(C) 6.5 (D) 7.5
(xix) The mid point of a class is known as:
(A) class frequency (B) class size
(C) class mark (D) class limit
(xx) If three sides of a triangle are 21cm, 13cm and 20cm respectively, then its
area is:
(A) 136cm2 (B) 124cm2
(C) 120cm2 (D) 126cm2
23

24
Time Allowed : 2 Hours and 30 Minutes Marks : 80
Note :Questions in Sections ‘B’ and ‘C’ are to be answered on the separately
provided answer book. Write your answer neatly.
Section-B
(Marks : 40)
N ot
e :
Attempt any TEN questions. All questions carry FOUR marks.
Q.
2
If U = {1,2,3, 4,5} A = {1,3} B = {2,4}.
Prove that : A/  B/ = (A B) /
Q.
3
Evaluate :
12 1
9
4
4 1
2
2
+
Q.
4
Find the cube root of 9261.
Q.
5
The average of seven numbers is 39 and the average of three of them is 27. Find the
average of other four?
Q.
6
Divide : a3 + b3 ÷ a + b.
Q.
7
Find the quotient of the following binary number:
10110102 ÷ 1102
Q.
8
If x – y = 4 and xy = 21, find the value of x3 – y3.
Q.
2
Simplify : a +
3
a
2
9 ¸ a
-
9
a 2
+ 4 a
+
3
a 2
- 2 a
-
3
Q.
10 PQ and RS intersect at O. ÐPOS= 4
5 ÐPOR. Calculate the measurement of ÐQOR
and ÐQRS.
Q.
11
Find the area of a circualr garden of radius 42m.
Q.
12
Draw a circle of radius 2.5cm. Draw a tangent of the circle from a point ‘P’ on the circle.
Q.
13
The breadth of a rectangle field is half of its length. If its area is 512sq m, find its
perimeter.

Q.14 The table drawn opposite shows how much
students of a class weigh (in kgs). Determine the
mean.
Section-C
(Marks : 40)
Weight in kgs No. of students
28 – 30 4
30 – 32 8
32 – 34 10
34 – 36 5
36 – 38 4
38 – 40 1
Note : Attempt any FIVE questions in all. Each question carries EIGHT marks.
Q.
15
25
(a) What is the smallest number by which 864 must be multiplied with to make the
quotient a perfect cube?
(b) Simplify :
1
1
3
3
10 +
8
12 ´
3
Q.
16
Find the difference between the simple interest and the compound interest on Rs 2500 for
2 years at the rate of 5% per annum.
Q.
17
Resolve into factors : (x + 1) (x + 3) (x + 5) (x + 7) + 15
Q.
18
(a) Divide Rs 1000 among A, B and C in such a way that ‘A’ gets 120 more than ‘B’ and
‘B’ gets 110 more than ‘C’.
x +1 + x + =
(b) Solve the equation : 3
5
2
3
Q.
19
A circular park of radius 12m has a road 4m wide running round it. Find the cost of
metalling the road at the rate of Rs 16 per square metre.
Q.
20
The surface area of a sphere is 324 p sq cm. Find its volume. How many smaller spheres
of diameter 1cm can be made out of it?
Q.
21
Three sides of a quadrilateral are of lenghts 4.8cm, 4.2cm and 3.4cm and the included
angles are of measure 120o and 45o. Construct the quadrilateral. Find by measurement the
sum of the measure of the other two angles.

ANNUAL EXAMINATION-2011
Roll No : _____________________
Name : _____________________
Class : _____________________
Section : _____________________
Time Allowed : 3 Hours Total Marks : 100
Section – A
(Marks: 20)
Note: All parts of this section are to be answered on the question paper itself.
It should be completed in first 20 minutes and handed over to the
supervisory staff. Deleting/Overwriting is not allowed. Do not use lead pencil.
(i) Intersection of a pair {0},{E} will be _____
(A) { } (B) {0,E}
(C) {0} (D) ={E}
(ii) In 2 n ,2 is called a _____
(A) Radicand (B) Radical
(C) Index (D) Root
(iii) The cube of a negative integer is also _____
(A) Positive (B) Negative
(C) Only Cube (D) None of Above
(iv) System based on number 10 is.
(A) Octal system (B) Penta-based system
(C) Binary system (D) Decimal system
(v) 4 8 ´2 2 is _____ :
(A) 32 (B) 8
(C) 2 (D) 4
(vi) Compound interest = _____ Principal.
(A) Amount (B) Interest
(C) Principal (D) Sale price
(vii) Circumference of a circle=_____
(A) p (B) 2p
(C) 2p r (D) 2
(viii) Continued product of x+4, x+5, and x+6 is.
(A) x3+15x2+74x+120 (B) x2+16x2+74x
(C) x3+74x+120 (D) x3+120
(ix) Cube of 101 is.
(A) 10301 (B) 1030301
(C) 1030 (D) 1010
26

(x) Factors of x2 + 9x + 20 are.
(A) (x + 5) (x + 3) (B) (x + 5) (x + 4)
(C) (x + 5) (x + 1) (D) (x + 9) (x + 4)
2
a a
- 2
to its lowest term.
(xi) Reducing 3 2
a -
a
4 8
1
(A) 3a (B) 4a
(C) 4a (D) 8a
3x - 2 x- 1
= , value of ‘x’ is.
(A) 5
(xii) In 1
4
5
1 (B) 2
15
-3 (D) 3
(C) 4
4
(xiii) If two straight lines intersect ,the sum of the four angles thus formed is equal
to:
(A) one right angle (B) four right angles
(C) three right angles (D) nine right angles
(xiv) The quadrilaterals have how many internal angles:
(A) nine (B) four
(C) six (D) five
(xv) Area of a trapezium is:
1 (a+b)h (B) 2
(A) 2
1 ah
1 (a+b) (D) 2
(C) 2
1 (a-b)
(xvi) Volume of a right circular cone:
1pr h (B) ph
(A) 2
3
1 (D) h
(C) 3
(xvii) Surface area of a sphere is:
(A) 4p (B) 4pr 2
(C) 4 (D) pr 2
(xviii) Mean of first eight odd, natural numbers are:
(A) 9 (B) 8
(C) 7 (D) zero
(xix) Difference between two class-limits is known as :
(A) Class-size (B) Mean
(C) Boundaries (D) Bar
(xx) Length of each side of a square having area 10.24 sq m is:
(A) 3.2cm (B) 3cm
(C) 2cm (D) 4cm
27

ANNUAL EXAMINATION–2011
Time Allowed : 2 Hours and 30 Minutes Total Marks: 80
NOTE: Questions in section ‘B’ and ‘C’ are to be answered on the separately provided
answer book. Write your answers neatly and legibly.
Section–B
(Marks : 40)
NOTE : Attempt any TEN(10) questions. Each question carries FOUR(04) marks.
Q.2 If U = {,1,2,3,4,5,6,7}, A={1,2,5,7}
B = {1,3,6,7}, then Find
(i) A/È UB/ (ii) (AÇ B)/
Q.3
Simplify :
3
2
1
+
- ´
1
10 8
12 3
Q.4 The volume of a cube is 46656 cubic metres. Find the length of each side.
Q.5 Solve the equations:
x-x=x-x +
2
2 3 4 6
Q.6 Divide the: a3 -b3 ¸a-b
Q.7 Find the volume of a right, circular cylinder when the circumference of its circular
base is 44cm and its height is 10cm
Q.8 If P = 2q + 4, show that p3-8q3-24pq = 64
Q.9
( 2 2
) 2
x x y
4 3 3
x xy
¸ -
-
Simplify: x 2 + xy +
y
2
x +
y
Q.10 Divide a line segment 12cm in length in the ratio 3:4.
Q.11 Find the area of a circle of radius 3.5cm:
Q.12 Draw a circle of radius 2cm. Draw a tangent to the circle form a point P 6cm away
form the centre of the circle.
Q.13 Find the altitude of a triangle with a base of 7.5cm and an area of 21sq cm:
Q.14 The following shows the marks obtained by 10 students of a class in a mathematics
test (out of 50). Find the range and the mean. 40,35,24,18,32,22,45,38,30,20.
Section–C (Marks : 40)
Note : Attempt any FIVE (05) questions in all. Each questions carries EIGHT (08) marks.
Q.15 Evaluate:
28

(a)
4 9
10
10
31
8
8
31
5
5
+ -
(b) 5a ( 5a + 125a2 )
Q.16 The average monthly salary of A, B and C is Rs 600 and that of B, C and D is Rs
750. If D’s salary is Rs 900 a month, find A’s monthly salary.
Q.17 Resolve into factors:
6(a2 -b2 )2 -7ab(a2 -b2 )-24a2b2
29
Q.18 (a) The dominator of a fraction is 2 more than the numerator. If 1 is added to both,
4 find the fraction:
the fraction reduces to 5
1
(b) If two straight lines AB and CD intersect each other at O and ÐAOC = 2
ÐAOD, find the measures of ÐBOD and ÐBOC.
Q.19 The diameter of a Scooter’s wheel is 44cm. how far will the scooter have travelled
after 450 revolutions of the wheel?
Q.20 A tent in the form of a right, circular cone is 5m high its base has radius of 12m.
Find
(a) The area of canvas required to make the tent.
(b) The volume of air space in it. (takel =3.14)
Q.21 Construct a rhombus with diagonals of length 4.2cm and 4.8cm respectively.

FAZAIA SCHOOLS AND COLLEGES

ANNUAL EXAMINATION - 2012
Roll No : _________________________
Name : _________________________
Class : _______________________
Section : _______________________
SECTION – A
(Marks : 20)
Time Allowed : 30 minutes Total Marks : 20
Note: All parts in this section are to be answered on the question paper itself. It should
be completed in first 30 minutes and handed over to the supervisory staff.
Deletion/Overwriting is not allowed. Do not use lead pencil.
(i) A ÈA¢ = _____________
(A) f (B) A
(C) A/ (D) U
(ii) In 2m , m is called _______________
(A) Square root (B) radical
(C) Radicand (D) index of radical
(iii) There are only ________ perfect cubes in the first 1000 natural numbers
(A) 10 (B) 12
(C) 15 (D) 20
(iv) The cube of a natural number which is a multiple of 3 is a multiple of _______
(A) 4 (B) 8
(C) 18 (D) 27
(64) 6=_________
(A) 8 (B) 16
(C) 20 (D) 32
(v) 5
(vi) A-P= ____________
P +r + t (B) C.I
(A) 100
P(1+ r (D) P x r x t
(C) )t
100
(vii) (2x+3y)(4x2-6xy+9y2)= _________
(A) 8x+27y (B) 8x2-27y2
(C) 8x3-27y3 (D) 8x3+27y3
(viii) x2+11x+30= _____________
(A) (x+5) (x-6) (B) (x-5) (x-6)
(C) (x+5) (x+6) (D) (x2+5) (x2-6)
(ix)
2 2 2
12a b c
2
8ab c
3ac (B)
(A) 2
3a2c
2
(C)
3ac2
2
(D)
3a2c2
2
30

(x) Two distinct points determine a __________ uniquely
(A) Plane (B) circle
(C) Triangle (D) line
(xi) If two straight lines intersect, the sum of the four angle thus formed is
equal to ________
(A) 180O (B) 270O
(C) 300O (D) 360O
(xii) For the construction of a quadrilateral, at least ______ of its components
must be given:
(A) 3 (B) 4
(C) 5 (D) 6
(xiii) Any straight line which cuts the circle at two points is called______
(A) tangent (B) secant
(C) ray (D) line
(xiv) The circumference of a circle is ________
(A) pr 2 (B) 2pr
(C) pr (D) 2pr 2
(xv) Area of a trapezium is = _________
1 ´ (B) (a +b)h
(A) (a b)h
2
1 - (D) (a b)h
(C) (a b)h
2
1 +
2
(xvi) Area of the curved surface of a right circular cone is _______
(A) pr 2  (B) pr 2
(C) pr  (D) 1 p
r 
3
(xvii) ________ is graphical representations of continuous frequency
(A) pie chart (B) bar chart
(C) line graph (D) histogram
(xviii) The limits within which a class interval lies are known as the _____
(A) class frequency (B) class mark
(C) class limits (D) class size
(xix) a3 -b3 ¸a-b=_____
(A) a2+2ab-b (B) a2 -2ab+b2
(C) a2 -ab+b2 (D) a2 +ab+b2
4 = _______
(A) 2 (B)
(xx) 2o
2
2
(C) 2 (D) 1
31

ANNUAL EXAMINATION – 2012
Question Paper : CLASS-VIII
Time Allowed : 2 Hours and 30 Minutes Total Marks: 80
Note:- Section ‘B’ and ‘C’ are to be answered on the separately provided answer book.
Write your answers neatly and legibly.
SECTION – B
(Marks: 40)
Note: Attempt any TEN (10) Questions. Each question carries FOUR (04) marks.
Q.2 If U = {1,2,3,4,5,6,7}
and A = {1,2,5,7} , B = {1,3,6,7}
Then find (AÇB)¢
Q.3 The area of a square garden is 331 .24 m2. Find the length of railing required to
fence it.
Q.4 Solve the following:
(a) 101110012+11000112
(b) 101110002 ─ 1000112
3
-
Q.5 Simplify: 5 2
Q.6 At what rate percent does compound interest on a sum of money becomes four fold
in 2 years?
Q.7 Find the average of all the odd natural numbers, as well as that of all the even
numbers, less than 20.
Q.8 Divide the first expression by the second:
a4 ─ 6a ─ 4, a ─ 2
Q.9 Resolve into factors: 2a2─ 3ab ─ 27b2
2 2
x y
3 3
x y
´ -
-
Q.10 Simplify: x 2 - 2xy +
y
2
x 2
-
xy
Q.11 Solve the equation: 0.5 (4x+1) = 0.3 (5x-1) + 1.2
Q.12 Draw a line segment PQ of length 4 cm and divide it in the ratio 1:2 (Also write
steps of construction)
÷ø
Q.13 The sides of a triangle are 7cm, 8cm and 5cm respectively. Find its area.
Q.14 Simplify: æ 2a + 2 ö æ 4a 2
+ 4
- 4 ö - æ 2
- a ö 4
a
a
2 a
çè
æ + a 2
+ 2
÷ø
çè
÷ø
çè
÷ø
ö a
2
çè
32

Section – C
(Marks: 40)
Note: Attempt any FIVE questions. Each question carries EIGHT marks.
Q.15 (a) The volume of a cubical box is 0.064 m3. Find the length of each edge.
(b) Simplify:
7( 42 - 98)
7
ö
æ + - + ¸ ÷ ÷ø
æ + - -
2 2 2 2 2 2
2 x y z
2 y z x
Q.16 Simplify: ÷ ÷ø
ç çè
ö
ç çè
xy
yz
Q.17 (a) Construct a triangle ABC with AB = 3cm, BC = 4.2 cm and CA = 3.6 cm.
draw
its incircle. (And also write steps of construction)
(b) Calculate the area of a circular ring, whose internal and external radii are
3cm and 10cm respectively.
1 th of its height. If the area of its
Q.18 The radius of base of a right circular cylinder is 7
curved surface is 176 cm2, find its volume.
Q.19 The number of goals scored by a football team in consecutive matches is,
respectively, 1,4,3,2,0,1,4,2,3,5,3,2,0,1,4,2,3,0,1,2. Construct a frequency table and
find the mean.
Q.20 A number consists of two digits. The digit in the ten’s place is twice that in the unit’s
place.
If 18 is subtracted from the number, the digits are reversed. Find the number.
Q.21 Evaluate: a3 ─ b3 when a ─ b=2 and a2+b2=4
33

ANNUAL EXAMINATION-2013
Roll No : _________________________
Name : _________________________
Class : _________________________
Section : _________________________
SECTION – A
(Marks: 20)
Deleting/Overwriting is not allowed. Do not use lead pencil.
(i) 2 n , n is called______________.
(A) Radical (B) Radicand
(C) Index (D) Power
(ii) Given the marks obtained by 10 students: 40,35,24,18,32,22,45,38,30,20
their mean =_________________.
(A) 27 (B) 30
(C) 30.4 (D) 30.6
(iii) j È A_________j
(A) = (B) Ì
(C) ¹ (D) Í
(iv) Volume of a right circular cone= _____
(A) 2 1
3
p r h (B) 4 3
3
p r
(C) p r2h (D) 4p r2
(v) Area of triangle=_____________
1 (base × height) (B) l × b
(A) 2
1 (a+b)h
(C) l2 (D) 2
(vi) 3 _______ p
q
=
(A)
3
3
p
q
(B)
3 p
q
æ ö
ç ¸
è ø
p
q (D) ( )
(C) ( )3
3
3
p
q
(vii) 10112 + 1112
(A) 11002 (B) 100012
(C) 11000012 (D) 100102
34

(viii) A tangent to a circle is a line which meets the circle at only ____ point.
(A) Two (B) Six
(C) Three (D) One
4 ________
2
(ix) 0
=
(A) 4 (B) 2
(C) 4 (D) 1
(x) , then Ða = _________ degrees.
(A) 400 (B) 600
(C) 1200 (D) 1800
(xi) Compound interest + Principal = ________________.
(A) Principal (B) Amount
(C) Rate of Interest (D) Interest
(xii) If two straight lines intersect, the sum of the four angles thus formed is
equal to _________ right angles.
(A) Three (B) Two
(C) Four (D) Five
(xiii) (m+1) (m-2) (m+3) = ___________
(A) m3+2m2-5m+6 (B) m3+2m2+5m+6
(C) m3-2m2-5m+6 (D) m3+2m2-5m-6
(xiv) If x(x+4) = x2+3x+8 then x=_________
(A) 8 (B) 6
(C) -8 (D) -6
(xv) a3+b3 ÷ a+b
(A) a2+ab+b2 (B) a2-ab+b2
(C) a2-ab-b2 (D) a2+ab-b2
(xvi) Lowest term of
2 2 2
2
a b c
ab c
12 =
__________
8
3ac (B) 3ac
(A) 2
2
3a
(C) 3ac (D) c
(xvii) (1002)3=_______________.
(A) 1006012008 (B) 1001260008
(C) 1006120008 (D) 1600120008
(xviii) Factors of x2+9x+20= _________.
(A) (x-5) (x-4) (B) (x-5) (x+4)
(C) (x+5) (x-4) (D) (x+5) (x+4)
(xix) Factors of 2a3+250=____________
(A) 2(a+5)(a2-5a+25) (B) (a+5)(a2-5a+25)
(C) 2(a-5)(a2+5a+25) (D) (a-5)(a2-5a+25)
(xx) (m4+m2n2+n4) (m2-n2)=_____________.
(A) m6+n6 (B) m6+n6-2m6n6
(C) m6+n6+2m6n6 (D) m6-n6
35

ANNAUL EXAMINATION–2013
Time Allowed: 2 Hours and 30 Minutes Total Marks: 80
NOTE: Questions in section ‘B’ and ‘C’ are to be answered on the separately provided
answer book. Write your answers neatly and legibly.
SECTION–B (Marks: 40)
Note: Attempt any TEN (10) questions. Each question carries FOUR (04) marks.
Q.2 If U = { 1, 2, 3, 4, 5, 6, 7 } , A = { 1, 2, 5, 7 } and B = {1, 3, 6, 7 } ;find
(i) (AÈ B)/ (ii) A/Ç B/
Q.3 Use Hero’s formula to calculate the area of a triangle whose sides have following
lengths.
AB=225m, BC=125m, AC=160m
Q.4
Evaluate;
4 1 12 1
2 +
4
2 9
Q.5 Find the continued product of; (a-b) (a2+ab+b2) (a3+b3).
Q.6 The volume of a cubical box is 0.064m3. Find the length of each edge.
Q.7 Multiply the first expression by the second: a4 + a3–1, a4 – a2 + 1
Q.8 Find the quotient of binary numbers division. 100000102 ÷ 10102
Q.9 The following table shows how much students of a class weigh (in kg). Determine
the mean?
Kg :28-30, 30-32, 32-34, 34-36, 36-38, 38-40
No. Of Students: 4 , 8 , 10 , 5 , 4 , 1
Q.10 Simplify; ( )
ì ï 3 ´ 3
ü ï
í ý
îï ( 5
)
ïþ
1
6 2 2
2
-
-
-
Q.11 Find the circumference of the circle with the following radius:-
· 18 cm
Q.12 Divide the first expression by the second.
x3 + x2 + - 3x - 2, x + 2
Q.13 Solve the equation.
1 2 1 11 1
x
=
+
-
Q.14 ABC is a triangle. PR
® drawn parallel to BC meets AC at Q. If ÐPQC =1300 , find the
value of ÐBCQ.
36
A
P
B C
R
Q
1300

SECTION–C
(Marks: 40)
37
Note: Attempt any FIVE (05) questions in all. Each question carries EIGHT (08)
marks.
Q.15 What sum will become Rs. 4,630.50 in 1½ Years, if the rate of interest is 10% per
annum compounded half yearly?
Q.16 Find the volume of a sphere whose surface area is 616 cm2.
Q.17 In a journey of 1000Km a train covers the first 600Km at 60 Km/h and the remaining
distance at 40 Km/h. Calculate the average speed of the train during the whole
journey.
Q.18 Construct a rectangle ABCD with adjacent sides of lengths 3cm and 4cm. Measure
its diagonal AC. Verify that AB2+BC2=AC2.
Q.19 Resolve into factors.
6(a2-b2)2 – 7ab (a2-b2) – 24a2b2.
Q.20 Divide 50 into two parts such that if 6 is subtracted from one part and 12 is added to
the second part, we get the same number.
Q.21 Divide a line segment 12cm in length in the ratio 3:4.

ANNUAL EXAMINATION-2013.
Roll No : _________________________
Name : _________________________
Class : _________________________
Section : _________________________
(******)Paper for self test(****)
SECTION – A
(Marks: 20)
Time Allowed: 30 Minutes (******)Paper for self test(****)
Deleting/Overwriting is not allowed. Do not use lead pencil.
(i) If A ÈB=B and A ÇB=B then A _______B.
(A) = (B) ¹
(C) Ì (D) É
(ii) perfect squares always ends with
(A) 2 (B) 0,2,4, or 8
(C) 0,1,4,5,6,or 9 (D) Both A and C
(iii) If P and q are any two integers then 3
p = ______________.
q
(A) 3 p -3 q (B) 3 px 3 q
p
(C) 3 pq (D) 3
3
q
(iv) The cube of a negative integer is _______________.
(A) positive (B) negative
(C) only cube (D) none of above
(v) ( ) 8
5 256 = _____________
(A) 31 (B) 32
(C) 33 (D) 34
(vi) What is amount for Rs. 625 in 2 years at 4% per annum , The interest
Being compounded annually.
(A) 676 (B) 670
(C) 352 (D) 326.40
(vii) The continued. Product of m+1, m-2. and m+3 is __________.
(A) m3-2m2+5m-6 (B) m3+2m2-5m +6
(C) m3-2m2-5m-6 (D) m3+2m2-5m-6
(viii) Factors of x2-xy-72y2 are
(A) (x+9y)(x+8y) (B) (x+9y)(x-8y)
(C) (x-9y)(x+8y) (D) (x-9y)(x-8y)
a 2 b
2
a -
b
- is
(ix) Lowest Term of 3 3
a +
b
- +
(A) a2 ab b2
a -
b
+ +
(B) a2 ab b2
a +
b
+ -
(C) a2 ab b2
a +
b
+ +
(D) a2 ab b2
(x) Three non collinear points determines a _____________ uniquely.
(A) Plane (B) Circle
38

(C) Triangle (D) Line
(xi) If any number of straight lines meet at a point, the sum of all angles thus
formed
Is equal to
(A) right angle (B) 2 right angles
(C) 3 right angle (D) 4 right angle
(xii) Atleast five components are required to construes
(A) incircle (B) circumcirde
(C) quadrilateral (D) Bisectors of a triangle
(xiii) When point p is outside the circle ________ tangents can be drawn.
(A) Two (B) Three
(C) Four (D) Unlimited
(xiv) The ratio of circumference of a circle to the length of its diameter is denoted
by _____________.
(A) 2pr (B) 2p
(C) p (D) r2
(xv) Any straight line which meets the circle at one point is called __________.
(A) Tangent (B) Secant
(C) Ray (D) Line
(xvi) Hero’s formula is used to find _______.
(A) Perimeter (B) Semi-perimeter
(C) Area of triangle (D) Area of trapezium
(xvii) Volume of sphere of radius r is
4 p (B) r 2
(A) r 3
3
1 p
3
1 p 2
(C) 4pr 2 (D) r h
3
(xviii) The mean of first eight odd natural numbers are.
(A) 5 (B) 6
(C) 7 (D) 8
(xix) a2-2ab+b2 ¸ a-b
(A) a+b (B) a+2b
(C) a-b (D) a-2b
(xx)
æ 2
= ________________.
(A) 6 (B) 8
(C) -6 (D) -8
3
1 -
ö 4
çè
÷ø
39

(******)Paper for self test(****)
Subject : Maths Max. Marks : 80
Class : VIII Time Allowed : 2 Hrs 30
Mins
SUBJECTIVE Section –B (40-Marks)
Note : Attempt any Ten questions each question caries FOUR marks.
Q2. Find B when A = {3,4}, A ÇB={3} A ÈB ={1,2,3,4}
Q3. Find positive square root upto three decimal place. 1+(0.021)2.
Q4. Find the quotient ¸ ( of the following )
10110112 1112.
Q5. Simplify 7 42 - 98
7
Q6. What is compound interest on Rs. 1600 for 2 years at 2 ½ % per annum.
Q7. The average of seven numbers is 39 and the average of three of them is 27.
Find the average of other four.
Q8. Divide 6x3+7x2-x-2 by 3x+2.
Q9. Resolve into factors a4+4a2-5.
2
Q10. Simplify 2 2
x 5xy
- +
2 2
+
- x x xy
x 6xy 5y
x -
y
2
a b
b
a
= +
Q11. Solve the equation. +
x -
a
x -
b
x - a -
b
Q12. Draw a line segment of length 5cm. Divide it into 4 equal parts.
(Also write construction steps)
Q13. Find area of triangle whose lengths are following.
AB =25cm BC =56cm AC =39cm
Q14. Simplify (x+y) (x2-xy+y2) – (y+z) (y2-yz+z2) + (z+x) (x2-zx+x2).
Section –C (40-Marks)
Note Attempt any FIVE questions. Each question carries EIGHT marks.
Q15 (a) Find the smallest number by which 13500 must be divided to make the
quotient
a perfect urbe
(b) Simplify
1
2
1
3
10 8
12 x 3
-
+
a 1
ù
a
é - -
a 1
ù
a
é - +
Q16. Simplify úû
êë
+
¸ úû
êë
- a
a 1
a
a 1
Q17. (a) Construct a triangle ABC with AB =5.4cm, BC =4.6cm and ÐABC = 450 .
Draw its circumcircle. Also write construction steps.
(b) Find the volume of right circular cylinder ashen circumference of its circular
base
is 44cm and its height is 10cm.
Q18. Find the volume and surface area of the earth , assuming its circumference is
40,000 km.
Q19. The average salary of 15 workers in a factory is Rs. 1250. If the salary of manager
of factory is Rs. 3,650. Find the average salary of all 16 employees.
Q20. A father is twice as old as his son. 20 years before the father was four times as old
as his son; Find their present ages.
a2 1
- = find the value of 3
Q21. If 1
a
6
a
a -1.
ANNUAL EXAMINATION 2014
40

CLASS VIII Total Marks :100
Section – A
(Marks :20)
Time Allowed : 30 Minutes
It should be completed in first 20 minutes and handed over to the supervisory
staff. Deleting/Overwriting is not allowed. Do not use lead pencil.
Q #01 :Choice of correct answer should be indicated by writing
a/b/c/d in Box.
I- The number of sets in a power set of {a,b,c,d } is__________
a. 12 c. 14 1/7 b. 16 d. 18
II- The positive square root of 126.1129 is__________ .
a. 11.23 c. 11.24
2/11
b. 11.25 d. 11.26
III- The difference between maximum and minimum scores is known
as__________
a. range c. limit
19/122
b. class size d. frequency
IV- The surface area of sphere is______________
17/109
a. 4/3π r2 c. 4 πr2
b. class size d. 4/3π r3
V- The semi-perimeter of a triangle whose sides are7cm,8cm and
5cm is ____________
c. 10 c. 300
16/106
d. 10√3 d. 3√10
VI- The cube of a natural number of the form 3n+2 is natural
number of __________ form.
a. Odd c. natural
b. Opposite d. same
3/15
VII- 11102 – 1012 =__________
a. 1101 c. 1001
4/26
b. 1011 d. 1000
VIII- A straight line passing through a point that cuts the circle at
two points is called _______________ .
a. secant c. chord
15/101
b. tangent d. perpendicular
41

IX- (16)3/4 = _______________ .
a. 2 c. 4
5/32
b. 6 d. 8
X- a2 – b2/ a3 – b3
12/74
a. a-b/a2+ab+b2 c. a+b/a2-ab+b2
b. a+b/a2+ab+b2 d. a-b/a2-ab+b2
XI- If any number of straight lines meet at a point then sum of all the
angles thus formed is equal to ______________ .
14/87
a. 270 c. 360
b. 180 d. 90
XII- Three non collinear points determine a ______________ uniquely.
a. line c. angle
14/86
b. circle d. plane
XIII- Divide a2+2ab+b2 by a + b _______.
a. a + b c. a-b
9/58
b. a2-ab+b2 d. a2+ab+b2
XIV- The product of x+y-2 by x-y ______ .
a. x2+2x-y2+2y c. x2 -2x+y2+2y
9/55
b. x2-2x-y2+2y d. x2 -2x-y2-2y
XV- If 3(x+1)+2(x-1)= x-2 then x=________________
a. 3/4 c -3/4
13/78
b. 4/3 d. -4/3
XVI- The cube of x + 3 is ______________
a. x3- 9 x2-27x - 27 c. x3+ 9 x2+27x +27
10/63
b. x3+ 9 x2-27x + 9 d. x3+ 9 x2+9x + 27
XVII- 272/3 +43/2= ______________ 5/32
42

a. 8 c. 15
b. 9 d. 17
XVIII- The number of items falling in any class interval is called
_______________
a. Class size c. class mark
19/122
b. Class frequency d. class limits
IX- Factor of x² –xy -72y²are __________ .
a. (X+9y)(x+8y) c. (X+9y)(x-8y)
11/70
b. (X-9y)(x+8y) d. (X-9y)(x-8y)
XX- The General Form of quadratic equation in one variable
is___________
a. ax²+bx+c c. ax²+b+c
11/68
b. ax²+bx³+c d. a+bx +c
43

Time Allowed :2Hours and 30 Minutes Total Marks :80
Note: Section ‘B’ and ‘C’ are to be answered on the separately provided answer
book. Write you answer neatly and legibly.
SECTION – B
(Marks :40)
Note: Attempt any Ten (10) Questions. Each question carries FOUR (4) marks.
Q.2 If A={2,4,6,8} , A∩B = {6,8} , AUB = {2,4,5,6,7,8} then fi 1/8
Q.3 Find the altitude of a triangle with the base of 7.5cm and an
area of
21m2.
16/106
Q.4 Extract the positive square root of 1 + (0.021)2
2/13
Q.5 Find the continued product of m+1,m-2 ,m+3
9/56
Q.6 Find the smallest number by which 13500 must be divided to
make the quotient a perfect cube.
3/19
Q.7 Divide a3 + b3 by a +b 9/58
Q.8 Find the quotient of binary numbers by division:10110112
1112 4/26
Q.9 Determine the mean of first eight odd natural numbers.
19/128
Q.10 Simplify
5/32
Q.11 Draw a circle of radius 2.5cm .Draw a tangent to the circle from
a point p on the circle 15/104
Q.12 Multiply the first expression bye the second ax2 + bx + c, p
x2+qx+r 9/56
Q.13 Half of an integer exceeds one third of the next integer by unity
.Find the integer. 13/80
Q.14 In figure ,AB ll CD.EF ia a transversal, cutting AB at G and CD
at H ,If ∠AGE=1250,Find the value of ∠GHD.
14/92
E
A G B
C H D
44

F
SECTION – C
(Marks :40)
45
Note: Attempt any Five (05) Questions. Each question carries Eight (8) marks.
Q.15 The Product of two positive numbers is and their
H.C.F is
.Find the Square root of LCM of the two numbers
2/13
Q.16 Find the volume and surface area of earth, assuming its
circumference is 40,000km 17/112
Q.17 The average age of Sadia , Ali and Huma is 16 years and that of
Ali , Huma and Naila is 12 years. If Sadia is 13 years old ,
calculate Naila’s age.
8/52
Q.18 Draw a trapezium ABCD in whinch AB ll CD,AB =6cm,
BC=4.5cm, AD=6cm and ∠ B =60o.
15/100
Q.19 Resolve into factors:
(x+1) (x+3) (x+5) (x+7)+15
11/70
Q.20 A number consists of two digits. The digit in the tens place is
twice that in the units place. If 18 is subtracted from the
number, the digits are reversed. Find the number.
13/81
Q.21 Construct an equilateral triangle ABC with sides of length 5cm
each. Draw its circum-circle.
15/95
Note: If you find any mistake, please contact to your concern class teacher or
you can contact to me at facebook on my address asadshafat@yahoo.com.

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