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Final papers of Maths Fazaia Inter college

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- 1. FAZAIA SCHOOLS & COLLEGES Roll No : _____________________ Name : _____________________MID-TERM EXAMINATION -2011 Class : _____________________Question Paper : Class VI Section : _____________________Subject : MathematicsTime 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 and attached with the answer book. 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) {2,3,5,7,…} is a set of _____ numbers. (A) Even (B) Odd (C) Prime (D) Natural (ii) If P={4,6,8,9,10…} then the true statement among the following is___. (A) 2 ∈ P (B) 14 ∈ P (C) 12 ∉ P (D) 11∈ P (iii) A set of even Prime Numbers is _____. (A) {0,1,2,3} (B) {2,4,6,8} (C) {2} (D) {1,3,5} (iv) E = {a,e,i,o} is a _____ set. (A) Null (B) Infinite (C) Void (D) Finite (v) If X = {1,2,3} and Y = {a,e,i} then X and Y are _____ sets. (A) Equal (B) Non-Equivalent (C) Equivalent (D) Null (vi) Set of Natural numbers neither prime nor composite is _____. (A) {0} (B) {2} (C) {1} (D) {4} (vii) The smallest 4 digit number using 7,0,8 and 9 is _____. (A) 0897 (B) 9870 (C) 0789 (D) 7089 (viii) The Whole number that succeeds 9999 is______. (A) 9998 (B) 99910 (C) 10000 (D) 1000 Page 1 of 4 (Maths-VI : Mid-Term 2011-12)
- 2. (ix) _____ numbers have more than two factors. (A) Prime (B) Odd (C) Even (D) Composite(x) 36 as sum of twin primes is _____ . (A) (13+23) (B) (17+19) (C) (6+30) (D) (29+7)(xi) The only known example of prime triplet is _____ . (A) (3,5,7) (B) (5,7) (C) (2,5,7) (D) (5,7,11)(xii) Number divisible by 3 is _____ . (A) 211 (B) 312 (C) 170 (D) 121(xiii) H.C.F of 2 × 32 × 5,52 ,23 × 3 × 5 is ______. (A) 25 (B) 5 (C) 30 (D) 72(xiv) Pair of co-prime numbers among the following is _____ . (A) 21 and 24 (B) 30 and 37 (C) 6 and 8 (D) 9 and 12(xv) The product of two numbers is 360. If L.C.M is 120 then their H.C.F is______. (A) 3 (B) 30 (C) 16 (D) 18(xvi) L.C.M of 4,6 and 8 is _____ . (A) 2 (B) 24 (C) 4 (D) 6(xvii) Correct increasing order of the integers 0,2,-1, -3 and 4 is _____ . (A) 0,2,4,-1,-3 (B) -3,-1,0,2,4 (C) 0,2,4,-3,-1 (D) -3,4,0,2,-1(xviii) If the H.C.F of any two different numbers is 1 then they are called___ . (A) Twin Prime (B) Co-Prime (C) Prime (D) Prime Triplet(xix) Positive square root of 121 is _____ . (A) 11 (B) 13 (C) 17 (D) 19(xx) A gross is equal to _____ dozens. (A) 12 (B) 10 (C) 6 (D) 20 Page 2 of 4 (Maths-VI : Mid-Term 2011-12)
- 3. FAZAIA SCHOOLS & COLLEGES MID-TERM EXAMINATION – 2011 Question Paper : Class VI 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 Express the following in set builder form: A = {21,28,35,42,49} B = {0,6,12,18} C = {1,4,9,16} D = {a,e,i,o,u} Q.3 Write the smallest and largest 5-digit numbers using 6,8,9,0 and 1. Q.4 Find the difference between the largest odd number of three digits and the smallest even number of two digits. Q.5 State whether 769494 is divisible by 11 or not (without actual division). Q.6 Find H.C.F of 300 and 3996 by division method. Q.7 Write seven consecutive composite numbers just below 100. Q.8 The sum of two integers is 52. If one of them is -18, find the other. Q.9 Find Positive square root of 1225.Q.10 Write the next three integers in each of the following sequences: (i) –9, –6, –3 (ii) 7, 4, 1Q.11 List the multiples of 12 less than 50.Q.12 Find ratio of 0.5 meters and 75 cm.Q.13 Find the ratio of 60cms and 3 metres.Q.14 Perform the following divisions (-63) ÷7. Page 3 of 4 (Maths-VI : Mid-Term 2011-12)
- 4. Section – C (Marks: 40)Note: Attempt any FIVE questions. Each question carries EIGHT marks.Q.15 (a) Prove that the following two sets are equal A=set of prime factors of 36 B=set of prime factors of 108 (b) If X = {3,6,9}, find all proper subsets of X.Q.16 (a) Find the difference between place value of 3 and 6 in 486234. (b) Find the value of 542 x 92 + 8 x 542.Q.17 Find the greatest numbers which divides 2300 and 3500 leaving 32 and 56.Q.18 (a) The L.C.M and H.C.F of two numbers are 1760 and 32 respectively. If one of the numbers is 160, find the other number. (b) Calculate the L.CM of 45 and 50 by division method.Q.19 (a) At noon on a certain day in Khairpur, the temperature rose to 11 ˚C above zero. At midnight the temperature fell to 5 ˚C below zero. Find the change in temperature. (b) Simplify : (–107) – (–97) + ( –10)Q.20 In 70 litres of a mixture of milk and water, the amount of pure milk is 56 litres. Find the ratio of milk to water in the mixture.Q.21 The product of two positive numbers is 15876 and the larger one is 9 times the other. Find the numbers. Page 4 of 4 (Maths-VI : Mid-Term 2011-12)
- 5. Section – C (Marks: 40)Note: Attempt any FIVE questions. Each question carries EIGHT marks.Q.15 (a) Prove that the following two sets are equal A=set of prime factors of 36 B=set of prime factors of 108 (b) If X = {3,6,9}, find all proper subsets of X.Q.16 (a) Find the difference between place value of 3 and 6 in 486234. (b) Find the value of 542 x 92 + 8 x 542.Q.17 Find the greatest numbers which divides 2300 and 3500 leaving 32 and 56.Q.18 (a) The L.C.M and H.C.F of two numbers are 1760 and 32 respectively. If one of the numbers is 160, find the other number. (b) Calculate the L.CM of 45 and 50 by division method.Q.19 (a) At noon on a certain day in Khairpur, the temperature rose to 11 ˚C above zero. At midnight the temperature fell to 5 ˚C below zero. Find the change in temperature. (b) Simplify : (–107) – (–97) + ( –10)Q.20 In 70 litres of a mixture of milk and water, the amount of pure milk is 56 litres. Find the ratio of milk to water in the mixture.Q.21 The product of two positive numbers is 15876 and the larger one is 9 times the other. Find the numbers. Page 4 of 4 (Maths-VI : Mid-Term 2011-12)
- 6. Section – C (Marks: 40)Note: Attempt any FIVE questions. Each question carries EIGHT marks.Q.15 (a) Prove that the following two sets are equal A=set of prime factors of 36 B=set of prime factors of 108 (b) If X = {3,6,9}, find all proper subsets of X.Q.16 (a) Find the difference between place value of 3 and 6 in 486234. (b) Find the value of 542 x 92 + 8 x 542.Q.17 Find the greatest numbers which divides 2300 and 3500 leaving 32 and 56.Q.18 (a) The L.C.M and H.C.F of two numbers are 1760 and 32 respectively. If one of the numbers is 160, find the other number. (b) Calculate the L.CM of 45 and 50 by division method.Q.19 (a) At noon on a certain day in Khairpur, the temperature rose to 11 ˚C above zero. At midnight the temperature fell to 5 ˚C below zero. Find the change in temperature. (b) Simplify : (–107) – (–97) + ( –10)Q.20 In 70 litres of a mixture of milk and water, the amount of pure milk is 56 litres. Find the ratio of milk to water in the mixture.Q.21 The product of two positive numbers is 15876 and the larger one is 9 times the other. Find the numbers. Page 4 of 4 (Maths-VI : Mid-Term 2011-12)
- 7. Section – C (Marks: 40)Note: Attempt any FIVE questions. Each question carries EIGHT marks.Q.15 (a) Prove that the following two sets are equal A=set of prime factors of 36 B=set of prime factors of 108 (b) If X = {3,6,9}, find all proper subsets of X.Q.16 (a) Find the difference between place value of 3 and 6 in 486234. (b) Find the value of 542 x 92 + 8 x 542.Q.17 Find the greatest numbers which divides 2300 and 3500 leaving 32 and 56.Q.18 (a) The L.C.M and H.C.F of two numbers are 1760 and 32 respectively. If one of the numbers is 160, find the other number. (b) Calculate the L.CM of 45 and 50 by division method.Q.19 (a) At noon on a certain day in Khairpur, the temperature rose to 11 ˚C above zero. At midnight the temperature fell to 5 ˚C below zero. Find the change in temperature. (b) Simplify : (–107) – (–97) + ( –10)Q.20 In 70 litres of a mixture of milk and water, the amount of pure milk is 56 litres. Find the ratio of milk to water in the mixture.Q.21 The product of two positive numbers is 15876 and the larger one is 9 times the other. Find the numbers. Page 4 of 4 (Maths-VI : Mid-Term 2011-12)

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