This document contains a mid-term examination paper for Class VIII mathematics. It consists of 3 sections - Section A with 20 multiple choice questions to be completed in 30 minutes, Section B with 10 long-form questions worth 4 marks each, and Section C with 5 long-form questions worth 8 marks each. The paper tests students on various mathematics concepts including sets, radicals, exponents, averages, percentages, and algebraic expressions. Students are asked to solve problems, simplify expressions, find sums and products, and more. The paper is designed to evaluate students' understanding of core Class VIII math topics.

1. FAZAIA SCHOOLS & COLLEGES
Roll No : _____________________
Name : _____________________
MID-TERM EXAMINATION -2011
Class : _____________________
Question Paper : Class VIII
Section : _____________________
Subject : Mathematics
Time Allowed: 3 Hours Total Marks: 100
SECTION-A
(Marks : 20)
Time 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 ∩ B)′ = _______.
(A) A ′ ∪ B ′ (B) A ∪ B (C) (A ∩ B) (D) A ′ ∩ B ′
(ii) The symbol “ ” denotes only _____ value of square root.
(A) negative (B) positive
(C) positive and negative (D) multiply and divide
(iii) − 27
3 = _____
1331
3 −3 3 
2
 −3 
2
(A) (B) (C)   (D)  
11 11 11   11 
(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) 11102 − 1012 = _____.
(A) 11012 (B) 1110 2 (C) 10012 (D) 10002
(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
Page 1 of 4 (Maths-VIII : Mid-Term 2011-12)

2. (x) 5
( 256 ) = _____
8
(A) 40 (B) 35 (C) 256 (D) 32
(xi) 
 r 
t


P1 +  − 1 = _____

 100  

(A) Amount (B) S.I (C) C.I (D) P – A
(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) a 3 + 3a 2 b + 3ab 2 + b 3 = _____
(A) a 3 + b 3 (B) (a − b) 3 (C) (a + b) 3 (D) a3 − b3
(xv) a 3 − b 3 − 3ab(a − b) = _____.
(A) (a + b) 3 (B) (a − b) 3 (C) (a + b) 3 (D) a3 − b3
(xvi) a 3 + b 3 = _____.
(A) (a + b)(a 2 − ab + b 2 ) (B) (a + b)(a 2 + ab + b 2 )
(C) (a + b)(a 2 + ab − b 2 ) (D) (a − b)(a 2 + ab + b 2 )
(xvii) (a 2 + 2ab + b 2 ) ÷ (a + b) =_____.
(A) a − b (B) a 2 + b 2 (C) a 3 + b 3 (D) a+b
(xviii  27 
) Cube root of   is _____
 64 
3 9 −3 3
(A) (B) (C) (D)
16 4 4 4
(xix) a m × a n =____ .
(A) a m −n (B) am +n (C) a m×n (D) (m + n)a
(xx) 1112 × 112 = _____ .
(A) 101012 (B) 110012 (C) 100112 (D) 10112
Page 2 of 4 (Maths-VIII : Mid-Term 2011-12)

3. FAZAIA SCHOOLS & COLLEGES
MID-TERM EXAMINATION – 2011
Question Paper : Class VIII
Subject : Mathematics
Note: 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 ∩ B = {6,8} , A ∪ 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:
10000010 2 ÷ 1010 2
27 + 81
Q.6 Simplify
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 a 2 + b 2 + c 2 − ab − bc − ca, a + b + c
Q.10 Divide 1 − 16 x 4 by 8 x 3 + 4 x 2 + 2x + 1
1 1
If a − = 5 find the value of a − 3 − 100 .
3
Q.11 a a
Q.12 Find the value of m 3 + n 3 − 9mn , if m + n + 3 = 0
Q.13 Find product of ( x p + y q )( x 2p − x p y q + y 2q )
1 1 9
3 3 4
Evaluate 5 + 8 − 10
Q.14
5 8 10
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4. Section – C
(Marks: 40)
Note: Attempt any FIVE questions. Each question carries EIGHT marks.
18
Q.15 The product of two positive numbers is 9 and one of them is three times of other.
25
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 101012 × 1010 2
98 × 8 × 27
(b) Simplify
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 a 3 − b 3 when a − b = 2 and a 2 + b 2 = 4 .
Q.20  2  2 4  2  4 
Simplify  2a + ÷  4a + 2 − 4 ÷ −  − a ÷  2 + a + 2 ÷
2
 a  a  a  a 
Q.21 Divide a 3 + b 3 + c 3 − 3abc by a + b + c
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5. Section – C
(Marks: 40)
Note: Attempt any FIVE questions. Each question carries EIGHT marks.
18
Q.15 The product of two positive numbers is 9 and one of them is three times of other.
25
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 101012 × 1010 2
98 × 8 × 27
(b) Simplify
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 a 3 − b 3 when a − b = 2 and a 2 + b 2 = 4 .
Q.20  2  2 4  2  4 
Simplify  2a + ÷  4a + 2 − 4 ÷ −  − a ÷  2 + a + 2 ÷
2
 a  a  a  a 
Q.21 Divide a 3 + b 3 + c 3 − 3abc by a + b + c
Page 4 of 4 (Maths-VIII : Mid-Term 2011-12)

6. Section – C
(Marks: 40)
Note: Attempt any FIVE questions. Each question carries EIGHT marks.
18
Q.15 The product of two positive numbers is 9 and one of them is three times of other.
25
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 101012 × 1010 2
98 × 8 × 27
(b) Simplify
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 a 3 − b 3 when a − b = 2 and a 2 + b 2 = 4 .
Q.20  2  2 4  2  4 
Simplify  2a + ÷  4a + 2 − 4 ÷ −  − a ÷  2 + a + 2 ÷
2
 a  a  a  a 
Q.21 Divide a 3 + b 3 + c 3 − 3abc by a + b + c
Page 4 of 4 (Maths-VIII : Mid-Term 2011-12)

7. Section – C
(Marks: 40)
Note: Attempt any FIVE questions. Each question carries EIGHT marks.
18
Q.15 The product of two positive numbers is 9 and one of them is three times of other.
25
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 101012 × 1010 2
98 × 8 × 27
(b) Simplify
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 a 3 − b 3 when a − b = 2 and a 2 + b 2 = 4 .
Q.20  2  2 4  2  4 
Simplify  2a + ÷  4a + 2 − 4 ÷ −  − a ÷  2 + a + 2 ÷
2
 a  a  a  a 
Q.21 Divide a 3 + b 3 + c 3 − 3abc by a + b + c
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