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6th Grade > Mathematics

KNOWING OUR NUMBERS MCQs

Total Questions : 99 | Page 10 of 10 pages
Question 91.


Among all the natural numbers, which is the smallest and the largest natural number? [2 MARKS]


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Answer: Option A. ->
:

Natural Numbers: 1 Mark each
The smallest natural number is 1 and there is no largest natural number as we have infinite natural numbers.


Question 92.


Shalini has 1.5L of soda in a bottle. How many glasses can be filled, each of which has a capacity of 50 ml? How many glasses of capacity 60ml each be filled? [3 MARKS]


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Answer: Option A. ->
:

Concept: 1 Mark
Steps: 1 Mark
Answer: 1 Mark
1L=1000ml
Capacity of bottle = 1.5 ×1000 = 1500ml


Capacity of glass = 50ml


Number of glasses that can be filled = 1500 ÷ 50 = 30 glasses
Now if the capacity of glasses = 60ml.
Then, the number of glasses that can be filled = 1500 ÷ 60= 25 glasses


Question 93.


Convert the following weights into grams. 
a. 40 kg
b. 120 kg
[2 MARKS]


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Answer: Option A. ->
:

Each option: 1 Mark
1 Kilogram = 1,000 grams.


a. 40 Kilograms = 40 × 1000 = 40,000 grams.
b. 120 kilograms = 120 × 1000 = 1,20,000 grams.


Question 94.


Raj had Rs.1398 in his wallet. He left Rs.526 outside the movie counter. Estimate how much money is left with him.  Also, find the actual amount left with him, and the difference between the estimated and actual amount.[4 MARKS]


 Discuss Question
Answer: Option A. ->
:

Steps: 2 Marks
Actual Amount: 1 Mark
Estimated Amount: 1 Mark
We need to estimate 1398 - 526.
1398 > 526.
 
we will round off these numbers to the nearest hundreds. 
1398 can be rounded off to 1400.
526 can be rounded off to 500.
Estimated difference:
1400 - 500 = 900
The actual amount left with him= 1398 - 526 = 872
The difference between the estimated amount left to him, and the actual amount left with him=900 - 872 = 28.


Question 95.


Write in an expanded form? Place commas correctly for each of the numbers.
(a) 74836                                             
(b) 574021                          
(c) 8907010
(d) 99999999
(e) 100001
(f) 545
[3 MARKS]


 Discuss Question
Answer: Option A. ->
:
(a) 74,836 = 7 × 10000 + 4 × 1000 + 8 × 100 + 3 ×10 + 6 × 1
(b) 5,74,021 = 5 × 100000 + 7 × 10000 + 4 × 1000 + 2× 10 + 1×1
                                               
(c) 89,07,010 = 8 × 1000000 + 9 × 100000 + 7 × 1000 + 10 × 1
(d) 9,99,99,999 = 9×10000000 + 9×1000000 + 9×100000 + 9×10000 + 9×1000 + 9×100 + 9×10 + 9× 1
(e) 1,00,001 = 1×100000 + 0×10000 + 0×1000 + 0×100 + 0×10+1× 1
(f) 545 = 5×100 + 4×10 + 5 × 1
Question 96.


The population of a town was 78787 in the year 1991 and 95833 in the year 2001. Estimate the increase in population by rounding off each population to nearest hundreds. [3 MARKS]


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Answer: Option A. ->
:

Steps: 2 Marks
Answer: 1 Mark
The population of a town in 1991 = 78787


and the population of that town in 2001 = 95833


78787 is rounded off the nearest hundreds


= 78800


95833 is rounded off to nearest hundreds


= 95800


Estimated increase in population


= 95800 – 78800 = 17000


Question 97.


What is the difference between the greatest and the least 5 digit number that can be written from 1, 3, 5, 7, 6? Also, find the difference between the greatest and the least 4 digit number that can be formed from them. [4 MARKS]


 Discuss Question
Answer: Option A. ->
:

Concept: 1 Mark
Steps: 2 Marks
Answer: 1 Mark
The given digits are 1,3,5,7,6.
Now to find the greatest number, we will arrange the given digits in descending order, i.e. the greatest number to the extreme left, then the next one and so on.
To find the smallest number, we will arrange the digits in an ascending order, i.e. the smallest number to the extreme left and so on.
Greatest number = 76531


Smallest number = 13567


Difference = 76531 - 13567 = 62964
Similarly,
The greatest 4 digit number that can be formed using the given digits = 7653
The least 4 digit number that can be used using the given digits = 1356
The difference between the greatest and the least=7653 - 1356 = 6297


Question 98.


The distance between Anshul's office and his house is 5.5 km. One day he went walking to office. While coming back, he walked for 2km and then took a cab. Find the total distance walked by Anshul in meters. [4 MARKS]


 Discuss Question
Answer: Option A. ->
:

Concept: 1 Mark
Steps: 2 Marks
Answer: 1 Mark
We know that ,1 km = 1000 m
Now total distance walked by Anshul = 5.5 (house to office) +2 km (way back from office)
Now 1 km = 1000m
5.5 km = 5.5 × 1000 = 5500 m
2 km = 2×1000 = 2000 m
Now total distance walked by Anshul = 5.5 + 2 km = 5500 + 2000 = 7500 m


Question 99.


Find the value of the following Roman numerals in decimal. Also, give a proper explanation for each step.
a) XXX
b) IX
c) VII
d) XII
[4 MARKS]


 Discuss Question
Answer: Option A. ->
:

Each part: 1 Mark
a) XXX. 
Now, we now that if a symbol is repeated, its value is added as many times as it occurs.
XXX = 10 + 10 + 10 = 30.
b) IX
I=1
X=10
1<10
If a smaller value is written to the left of a symbol of greater value, its value is subtracted from the value of the greater symbol.
The value IX = 10 - 1 = 9.
c) VII
If a symbol of smaller value is written to the right of a symbol of greater value, its value gets added to the value of the greater symbol.
V=5
I=1
The value of VII = 5 + 1 + 1 = 7.
d) XII
In this case, also, the smaller value is written to the right of the greater number. So its value is added to the value of the greater symbol.
XII= 10 + 1 + 1 = 12.


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