DPS – MIS, DOHA QATAR
CLASS – VI
HALF YEARLY EXAMINATION - 2008-2009
MATHEMATICS
Time: 3 hrs
Date:14-10-2008
Max.marks:80
SECTION A
( 10 x 1 = 10 )
(Each question carries 1 mark)
1. Insert commas suitably and write the number name according to
International system.
814560039
2. Write the numeral for the following:Two crore forty thousand and six
3. Write the expanded form of 34,008,009.
4. Write the Roman numeral for
i) 246
ii) 560
5. __________ is the only prime number which is even.
6. LCM of the co-prime numbers 5 and 6 is __________ .
7. In which of the following expression , prime factorization has been
done?
a. 12 = 2 x 6
b. 55 = 5 x 11
c. 56 = 2 x 2 x 14
8. If a number is divisible by 2 and 3 both , then it is divisible by _________ .
9. A region in the interior of the circle enclosed by an arc on one side and a
pair of radii on the other two sides is called ______________ .
10.
10
6
–
13
13
= __________ .
SECTION B
( 5 x 2 = 10)
(Each question carries 2 marks)
11.Without actual division find whether 3265749 is divisible by 3 and 6.
12. Draw an open curve made up entirely of line segments. Is it a
polygon? Why?
13.Use the number line and find the value of
(-4)+(7)
14.Find the sum of 100 – ( - 900 ) – ( + 860 )
15. a) What fraction of a day is 6 hours?
b) Show
2
on a number line.
7
OR
a)Express the mixed fraction 4
26
as an improper fraction.
34
b)Find two equivalent fractions of
5
.
6
SECTION C
(Each question carries 3 marks)
16. a) Estimate the following product using general rule.
14648 x 26
b) Is 9 ÷ 3 = 3 ÷ 9 ? Why? State the property used.
( 10 x 3 = 30 )
17. a) Find the product using suitable property
239 x 102
b) Add by suitable rearrangement.
346 + 572 + 254 + 428 .
18. Draw any circle and mark:
i) its centre ii) a radius iii) a diameter iv) a sector v) a segment
vi) an arc
19. a) Arrange the following in descending order:
( - 46 ) , ( 37 ) , ( - 20 ) , ( - 11 ) , 5 , 0.
b) Write all the integers between ( - 4 ) and ( + 3 ) .
20. a) Express
14
as a mixed fraction.
5
b) Find the equivalent fraction of
c) Check whether the fractions
2
with denominator 100.
5
3
30
,
are equivalent.
10 54
21. Write the greatest 4-digit number and express it in terms of its prime
factors.
22. Fill in the blanks with “ > ” , “ < ” or “ = ” sign :
a. ( - 6 ) + ( + 2 ) – ( + 3 ) ________ ( - 8 ) – ( + 4 ) – ( - 7 )
b. ( - 8 ) – ( - 6 ) _________ ( - 7 ) + ( + 7 )
OR
a) The sum of two integers is ( - 936 ) . If one of them is ( + 270 ) ,
find the other.
b) The successor of -227 is _________.
23. Write the first four multiples of 4. Find out the LCM of these multiples.
24. a) Check whether 12 and 45 are co - prime.
b) A number is divisible by both 3 and 6 . Can we say that the
number must also be divisible by 3 x 6 = 18? Why?
25. a)
2
7
= 12
b) Use “ > ” , “ < ” or “ = ”.
i.
8
10
6
10
ii.
3
17
3
12
OR
a) Write the following in ascending order :
5 1 4 8
, , ,
9 9 9 9
b) Find 3
2
1
-2 .
5
5
c) Reduce the fraction
12
to its simplest form.
52
SECTION D
( 5 x 6 = 30 )
(Each question carries 6 marks)
26. a) Church bells in 3 churches ring at intervals of 12 , 15 and 20 minutes.
If they ring together at 8:30 am , when will they ring together again?
b) The length , breadth and height of a room are 890 cm , 324 cm , 378 cm
respectively. Find the longest tape which can measure the three dimensions
of the room exactly.
27. a) Test whether 97862 is divisible by 11 , without doing actual division.
b) Using divisibility test , determine whether 23084 is divisible by 4 and 8.
28. Find the value of :
a) ( - 24 ) + ( - 13 )
b) ( - 30 ) + ( + 30 )
c) ( - 36 ) + ( + 10 )
d) ( 45 ) + ( - 11 )
e) ( - 16 ) – ( - 40 )
f) ( - 58 ) – ( + 14 )
29. a) In a class of 30 students , 25 passed in 1st class. In another class of
40 students , 36 passed in 1st class. Write the fraction of students getting
1st class in each case. In which class is the fraction of students getting
1st class greater?
b) Rajesh was given
3
2
packets of sweets and Sara was given packets of
7
7
sweets. What was the total number of packets of sweets given to both them?
OR
a) Add 6
7
2
and 3 .
9
3
b) Simplify
16 11
- .
3
4
30. a) Find the least number which when divided by 6 , 15 , and 18 leaves
remainder 7 in each case.
b) Find the HCF of 105 , 840 , 550.
OR
a) i. A number is divisible by both 3 and 4. By which other number will that
number always be divisible?
ii. Find the common factors of 56 and 120.
b) i. Using divisibility test determine whether 564159708 is divisible by 9.
ii. Find the first three common multiples of 6 and 8.
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