This document contains a mid-term examination for 6th class mathematics from Fazia Schools & Colleges. The exam has 3 sections: Section A with 20 multiple choice questions, Section B with 10 short answer questions worth 4 marks each, and Section C with 5 long answer questions worth 8 marks each. The exam covers topics in mathematics including sets, numbers, operations, ratios, and word problems. Students are asked to show their work, find sums, quotients, greatest common factors, least common multiples, and solve other mathematical problems.

1. FAZAIA SCHOOLS & COLLEGES
Roll No : _____________________
Name : _____________________
MID-TERM EXAMINATION -2011
Class : _____________________
Question Paper : Class VI
Section : _____________________
Subject : Mathematics
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 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
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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
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3. FAZAIA SCHOOLS & COLLEGES
MID-TERM EXAMINATION – 2011
Question Paper : Class VI
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 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, 1
Q.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.
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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.
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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)