Buds Public School, Dubai
Holiday Homework
Grade :6
Subject: Mathematics/ WS11
Name of student:
Sub.date : 30-08-15
Choose the correct option in questions 1 to 16.
1.
2
7
+
𝑎)
1
14
1
is
5
b)
14
3
3
c) 14
14
d) 17
2. What fraction of circles have “X” in them ?
𝑎)
1
b)
2
5
6
c) 8
8
3. What fraction represented for the shaded area in
1
5
7
𝑎) 8
b)
c) 8
8
4. The simplest form of
a)
14
2
4
b) 8
8
d) none of these
is ________
56
5
d) none of these
2
c) 18
d) 9
5. What fraction of a day is 6 hours?
a) None of these
1
1
b) 3
1
c) 4
d) 5
6. Which of them is a composite number?
a. 2
b. 9
c. 17
d. 19
7. 5. ___________ is a factor of every number.
a. 0
b. 1
c. 2
d. 3
8. 6. The sum of two even number is always __________
a. even
b. odd
c. cannot say
d. prime
c. 1200
d. 120000
9. What is the product of 300 and 400?
a. 120
b. 12000
10. 4. What is the product of 3000 and 50?
a. 3000
b. 150000
c. 15000
d. 35000
c) 25.5
d)2.4
c) 0.7
d)7.0
11. Write as decimal ‘Two ones and five-tenths’.
a) 2.5
b)5.2
12. Decimal form of ‘seven-tenths’ is __
a)0.72
b)0.07
3
13. Decimal notation of 4 is ______
a)0.75
b)0.25
c) 0.50
d)0.57
b) >
c) =
d) can’t say
14. Compare 0.1 _____ 0.03
a) <
15. Write 2 dirhams and 5 fils as decimal.
a) Dhs2.5
b) dhs2.05
c)dhs20.5
d) dhs2.55
16. Decimal notation of one-tenth is _____
a) 0.1
b)0.01
c)0.001
d) 1.0
Write answer
17. The digit in the lakh’s place in 2567009 is ____________.
18. Number name of 6789053 in international system of numeration is _________.
19. Numeral for “ Eighty million three hundred two thousand sixty” is _____________.
20. Simplify: 135 × 56 + 135 × 44
21. 87 x 19 = 19 x ______
22. The value of 345 x 12 x 0 x 1 = _______________
23.
The even prime number is _________
24.
Twin primes that have a difference of _________
25.
The least composite number is __________
26.
The two primes with the product 35 is ___________ and ___________
27.
HCF of 12 and 18 is ________________
28.
The Which pair of numbers has a HCF that is not a prime number?
(a)
60,231
b. 15,80
c. 24,52
d. 30,42
29.
The product of two number is equal to the product of their ___________ and __________
30.
The process of writing composite numbers as the product of prime factors is called_____________
31.
Two natural numbers which do not have a common prime factor are called____________
32.
LCM of 15 and 20 is _________
33.
Express as improper fraction 3 7 _________
34.
Express as mixed fraction
2
21
5
________
Questions 35 to 59 do in separate paper.
35. Simplify
a){ 32 ÷ (8 x2 )} + 5
b){ 3+(4x6)÷2 – 6} ÷ 3
c)18 ÷{8 +(20÷5-3)
36. Starting from the smallest 8-digit number, write the next five numbers in ascending
order.
37. Write 8985573 using commas in Indian as well as International System of Numeration.
38. Write the greatest 5digit number using 3,7, 9,1 by repeating one digit .
39. Arrange the digits 4, 7 ,6 ,2 in such a way that it forms a number that becomes 7000, when
rounded to the nearest 1000.
40. The number of sheets of paper available for making notebooks is 25,000. Each sheet
makes 12 pages of a notebook. Each notebook contains 300 pages. How many
notebooks can be made from the paper available?
41. Check whether 21 is a factor of 924.
42. Write the prime factorisation of each of the numbers.
a. 250
b. 1250
c. 500
d. 728
43. Find the HCF using prime factorisation method.
a. 36, 24
b. 30, 45
c. 56, 49
44. Find the HCF using continued division method
a. 65, 125
b. 430, 489
c. 63,84
d. 560,49
45. Find the LCM using division method
a. 16,30,80
b. 8,16,20,35
c. 44, 65 , 105
d. 24,72,108
e. 15,7,25
46. Find the largest number that will divide 246, 1030 leaving a remainder 7 in each case.
47. A rectangular courtyard is 20m long and 18 m broad. It is to be paved with square tiles of the same
size. Find the maximum size of the tile which can be used.
48. Find the least number which when divided by 12, 16, 24 and 36 leaves a remainder 8 in each case.
49. In a walking competition three persons step off together. Their steps measure 75cm, 85cm and 80cm
respectively. At what distance from the starting point will they again step off together?
50. I am a 2 digit prime number. The total of my digit is a prime number greater than 13. Who am I ?
51. I am the square of the number that is 70 less than the product of the LCM of 3 and 5 and the LCM of 2
and 3. What number am I?
1
1
1
2
1
1
52. Simplify 32 + 4 3 + 6 4
53. Simplify 75 + 8 7 - 2 4
5
1
1
1
54. Simplify 59 - 1 7
55. Simplify 82 - 4 3
56. Write the fractions in ascending order.
a)
3
5
,
1
8
,
5
6
,
3
4
b)
7
9
,
1
3
,
5
6
,
5
18
57. Decimal in real life . Write as decimal
a) 5 gram
= ______kg
d) 23 grams
= ________kg
b) 3 dirham 5 fils
= _____dirhams
e) 345 mg
= _________gram
c) 7869 ml
= ________L
f) 230cm
= _______m
58. Write decimals in ascending order.
a) 3.45, 3.23 , 2.78 , 3.045 , 3.054
b) 6.87, 6.08,
6.9 7.8, 6.004
c) 23.8, 3.45, 2.34, 2.004, 2.03
59. Simplify
a) 4.5 + 5.89 + 7.8
c) 6.09 + 6.9 + 3.4
b) 5.6 – 2.34- 1.2
d) 23.6+ 3.45 – 2.42
60. Express as decimal
25
100
208
100
32
1000
3
3
17
67
100
2345
100
=
10
+
1
100
+
8
1000
=
120 g = _______kg
0.07 +0.1 =
=
78 ml = _______L
0.4 + 0.003=
=
6
+
8
8656 mg = _____g
=
=
100
=
1 + 0.8 + 0.007 =
1000
876 L = _____KL
659mm = _____m
3
5
1
8
4
5
=
=
=
25
8
11
4
=
=
61. Write the whole number nearest to the decimal.
0.9
-
2.7
1.2
-
0.96
20.1
3.8
0.82
2.4
62. Project:
Prepare a crossword puzzle on decimals .Frame questions based on real life situations . ( Number of
questions should be minimum 6)
63. Some IBT questions
A ) Which number is the same as seven tens?
a)17
b)70
c)710
d)700
B)
____ X 7 = 378
Which number sentence can be used to find the missing number?
a) 7 ÷ 378
b) 378 – 7
c) 7 + 378
d) 378 ÷ 7
C) How is 18.4 metres written in centimetres?
a)0.184 cm
b) 1.84 cm
c) 184 cm
d)D 1840 cm
D) Nabila is counting like this. Which number should she say next? 27 , 25, 22 , 20 , ?
1
a) 17
b) 17
c) 18
2
1
1
d) 19
2
2
E) Namrata drew a square around some of the lollipops.
What fraction of the total lollipops are in her square?
A
1
b)
4
1
c)
3
1
d)
2
1
12
F) This diagram shows the different sports some students play.
Tennis
6
Soccer
5
7
How many students play tennis?
a) 5
b) 6
c) 11
d) 18
G) The students in Grade 6 raised money for a charity for several weeks. They raised $ 80 in the first week.
Then every week after that they collected $ 6 less than the week before. How much did they collect in the
fourth week only?
a) $ 24
b) $ 56
c) $ 62
d) $ 284
G) 0.96 X 705
Which of these numbers is closest to the answer?
a)
70
b) 7000
c) 700
d) 70000