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38 questions · timed · auto-graded

Question 11 Mark
Solve:
111 ÷ 3 = 37
222 ÷ 6 = 37
333 ÷ 9 = 37
Answer
111 ÷ 3 = 37
222 ÷ 6 = 37
333 ÷ 9 = 37
444 ÷ 12 =37
555 ÷ 15 = 37
666 ÷ 18 =37
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Question 31 Mark
Find the difference between the largest number of four digits and the smallest number of six digits.
Answer
The largest number of four digits = 9999 and, the smallest number of six digits = 100000
Difference = 100000 – 9999 = 90001
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Question 41 Mark
If x is a whole number such that x ÷ x = x, state the value of x.
Answer
Since, we know that any number divided by 1, always gives the number itself.
x can be any number 1, 2, 3, 4, 5, 6, …………, and so on.
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Question 51 Mark
Show that a whole number divided by 0 is not defined.
give an example of the above.
Answer
For example
3 ÷ 0 = Not defined or 19 ÷ 0 is not defined
The above statement is true.
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Question 61 Mark
Show that zero divided by any non-zero number is zero only.
give an example of the above.
Answer
For example
0 ÷ 138 = 0, 0 ÷ 2028 = 0, 0 ÷ 15140 = 0
The above statement is true.
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Question 71 Mark
Show that every non-zero whole number divided by itself gives 1 (one).
give an example of the above.
Answer
For example
2 ÷ 2 = 1, 128 ÷ 128 = 1, 256 ÷ 256 = 1
The above statement is true.
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Question 81 Mark
Show that any whole number divided by 1, always gives the number itself.
give an example of the above.
Answer
For example
2 + 1 =2, 18 + 1 = 18, 129 + 1 = 129
The above statement is true.
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Question 91 Mark
Show that division of whole numbers is not closed
give an example of the above.
Answer
For example
5 and 8 are whole numbers, but 5 + 8 is not a whole number
Closure property does not exist for the division.
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Question 101 Mark
Find the product of the :
Greatest number of three digits and smallest number of five digits.
Answer
Greatest number of three digits = 999
and Smallest number of five digits = 10000
Required product = 999 x 10000 = 9990000
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Question 111 Mark
Evaluate using properties :
333 x 987 + 13 x 3333
Answer
3333 x 987 + 13 x 3333
= 3333 x (987 + 13) (using distributivity)
= 3333 x 1000 = 3333000
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Question 121 Mark
Evaluate using properties :
8324 x 1945 – 8324 x 945
Answer
8324 x 1.945 – 8324 x 945
= 8324 x (1945 – 945) (using distributivity)
= 8324 x 1000 = 8324000
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Question 131 Mark
Evaluate using properties :
7984 x 15 – 7984 x 5
Answer
7984 x 15 – 7984 x 5
= 7984 x (15 – 5) (using distributivity)
= 7984 x 10 = 79840
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Question 141 Mark
Evaluate using properties :
55873 x 94 + 55873 x 6
Answer
55873 x 94 + 55873 x 6
= 55873 x (94 + 6) (using distributivity)
= 55873 x 100 = 5587300
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Question 151 Mark
Evaluate using properties :
284 x 12 – 284 x 2
Answer
284 x 12-284 x 2
= 284 x (12-2) (using distributivity)
= 284 x 10 = 2840
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Question 161 Mark
Evaluate using properties :
679 x 8 + 679 x 2
Answer
679 x 8 + 679 x 2
= 679 x (8 + 2) (using distributivity)
= 679 x 10 = 6790
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Question 171 Mark
Evaluate using properties :
3023 x 723
Answer
3023 x 723
= (3000 + 20 + 3) x 723
= 3000 x 723 + 20 x 723 + 3 x 723
= 2169000 + 14460 + 2169 = 2185629
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Question 181 Mark
Evaluate using properties :
924 x 988
Answer
924 x 988
= (900 + 20 + 4) x 988
= 900 x 988 + 20 x 988 + 4 x 988
= 889200 + 19760 + 3952 = 912912
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Question 191 Mark
Evaluate using properties :
548 x 98
Answer
548 x 98
= (500 + 40 + 8) x 98
= 500 x 98 + 40 x 98 + 8 x 98
= 49000 + 3920 + 784 = 53704
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Question 201 Mark
Use distributive law to evaluate :
446 x 10002
Answer
446 x 10002
= 446 x (10000 + 2)
= 446 x 10000 x 446 x 2
= 4460000 + 892 = 4460892
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Question 211 Mark
Use distributive law to evaluate :
385 x 1004
Answer
385 x 1004
= 385 x (1000 + 4)
= 385 x 1000 x 385 x 4
= 385000 + 1540 = 386540
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Question 221 Mark
Use distributive law to evaluate :
984 x 102
Answer
984 x 102
= 984 x (100 + 2)
= 984 x 100 x 984 x 2
= 98400 + 1968 = 100,368
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Question 231 Mark
By re-arranging the given numbers evaluate :
225 x 20 x 50 x 4
Answer
225 x 20 x 50 x 4
= (225 x 4) x (20 x 50) = 900 x 1000 = 900, 000
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Question 241 Mark
By re-arranging the given numbers evaluate :
25 x 444 x 4
Answer
25 x 444 x 4
25 x 4 = 100
25 x 444 x 4 = (25 x 4) x 444 = 100 x 444 = 444000
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Question 251 Mark
By re-arranging the given numbers evaluate :
2 x 487 x 50
Answer
2 x 487 x 50
2 x 50=100
2 x 487 x 50 = (2 x 50) x 487 = 100 x 487 = 48700
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Question 281 Mark
Which property of addition is satisfied by :
23 + (-23) = 0
Answer
23 + (-23) = 0
The property used as Additive inverse satisfied by 0.
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Question 291 Mark
Which property of addition is satisfied by :
16 + 0= 16
Answer
16 + 0=16
The property used as Existence of identity satisfied by 16
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Question 301 Mark
Which property of addition is satisfied by :
(15 – 12) x 18 = 15 x 18 – 12 x 18
Answer
(15 – 12) x 18= 15 x 18- 12 x 18 (15 – 12) x 18 = 3 x 18 = 54
and 15 x 18 – 12 x 18 = 270 – 216 = 54
The property used as Distributive over subtraction satisfied by 54
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Question 311 Mark
Which property of addition is satisfied by :
(7 + 6) x 10 = 7 x 10 + 6 x 10
Answer
(7 + 6) x 10 = 7 x 10 + 6 x 10 (7 + 6) x 10= 13 x 10= 130
and 7 x 10 + 6 x 10 = 70 + 60 = 130
The property used as Distributive over addition satisfied by 130.
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Question 321 Mark
Which property of addition is satisfied by :
3+ (5 + 4) = (3 + 5)+ 4
Answer
3+ (5 + 4)=(3 + 5)+ 4 =3+(5+ 4) = 3 + 9=12 and (3+ 5)+ 4 = 8 + 4=12
The property used as Associative law of addition satisfied by 12.
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Question 331 Mark
Which property of addition is satisfied by :
8 + 7 = 15
Answer
8 + 7=15
The property used as closure property satisfied by 15.
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Question 341 Mark
Is a + b + c = a + (b + c) = (b + a) + c ?
Answer
Yes, because any set of three whole numbers if the sum of any two whole numbers is added to the third whole number, then whatever be their order, the sum will remain same.
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Question 351 Mark
By re-arranging the given numbers evaluate :
1 + 2 + 3 + 4 + 596 + 597 + 598 + 599
Answer
21 + 22 + 23 + 24 + 25 + 75 + 76 + 77 + 78 + 79
= (21 + 79) + (22 + 78) + (23 + 77) + (24 + 76) + (25 + 75) (by associative law)
= 100 + 100+ 100+ 100 + 100 = 500
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Question 361 Mark
By re-arranging the given numbers evaluate :
21 + 22 + 23 + 24 + 25 + 75 + 76 + 77 + 78 + 79
Answer
21 + 22 + 23 + 24 + 25 + 75 + 76 + 77 + 78 + 79
= (21 + 79) + (22 + 78) + (23 + 77) + (24 + 76) + (25 + 75) (by associative law)
= 100 + 100+ 100+ 100 + 100 = 500
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Question 371 Mark
By re-arranging the given numbers evaluate :
162 + 253 +338 + 47
Answer
162 + 253 + 338 + 47
= (162 + 338) + (253 + 47) (by associative law)
= 500 + 300 = 800
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Question 381 Mark
By re-arranging the given numbers evaluate :
237 + 308 + 163
Answer
237 + 308 + 163
= (237 + 163) + 308 (by associative law)
= 400 + 308 = 708
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[1 Mark Question Answer] - MATHS STD 6 Questions - Vidyadip