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- 1. FAZAIA SCHOOLS & COLLEGES Roll No : _____________________ Name : _____________________MID-TERM EXAMINATION -2011 Class : _____________________Question Paper : Class VIII Section : _____________________Subject : MathematicsTime Allowed: 3 Hours Total Marks: 100 SECTION-A (Marks : 20)Time Allowed : 30 MinutesNote: 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 P1 + − 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 : MathematicsNote: 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 + 81Q.6 Simplify 3Q.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 + cQ.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 . 3Q.11 a aQ.12 Find the value of m 3 + n 3 − 9mn , if m + n + 3 = 0Q.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 − 10Q.14 5 8 10 Page 3 of 4 (Maths-VIII : Mid-Term 2011-12)
- 4. Section – C (Marks: 40)Note: Attempt any FIVE questions. Each question carries EIGHT marks. 18Q.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 × 42Q.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)
- 5. Section – C (Marks: 40)Note: Attempt any FIVE questions. Each question carries EIGHT marks. 18Q.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 × 42Q.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. 18Q.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 × 42Q.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. 18Q.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 × 42Q.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)

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