6th Grade > Mathematics
FRACTIONS MCQs
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Steps: 1 Mark
Answer: 1 Mark
(i) 2+35=10+35=135.
(ii) 5+15=25+15=265.
(iii) 1+45=5+45=95.
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Solution: 1 Mark
The amount of cake Saumya ate more than Shreya was ;
34−14=24=12 more cake.
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Steps: 1 Mark
Answer: 1 Mark
Shobha spent 13 times of 10 hours watching television.
⇒13×10=103 or 313
∴ Shobha spent 103 hours or 313 hours (which is 3 hours 20 minutes) watching television.
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Steps: 1 Mark
Fraction: 1 Mark
Answer: 1 Mark
There are 24 hours in a day.
⇒ 6 hours of a day
=624
=14 (expressed in the simplest form)
⇒624 and 14 are equivalent fractions.
∴ 6 hours of a day represents 14th of a day.
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Steps: 2 Marks
Answer: 1 Mark
21×12=1
31×14=34
71×13=73=213
171×15=175=325
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Smallest Fraction: 1 Mark
Greatest Fraction: 1 Mark
Steps: 1 Mark
63=2=21
∴ LCM for the fractions 12,34,45,32,21 is 20
⇒12=1020
⇒34=1520
⇒45=1620
⇒32=3020
⇒21=4020
Now that the denominator is equal, we can compare the fractions. The numerator 40 is the greatest and 10 is the least. Hence, the corresponding original fractions will be the greatest and the least.
∴ Greatest fraction = 63 = 2
Smallest fraction = 12 = 0.5
(a) Nisha had 55 balloons; she gave 46 balloons to Astha. What fraction of the balloons is left with Nisha? If Ashta loses 6 ballons what fraction of balloons in left with her?
(b) Sameera purchased 312 kg apples and 434 kg oranges. What is the total weight of fruits purchased by her?
(c) Solve : 223+312 [4 MARKS]
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(a) Concept: 1 Mark
Solution: 1 Mark
(b) Solution: 1 Mark
(c) Solution: 1 Mark
(a) Total no of balloons = 55
Balloons left with Nisha = 55 - 46 = 9
Fraction of balloon left = 955
Balloons left with Nisha = 46 - 6 = 40
Fraction of balloon left with Nisha = 4046=2023
(b)The total weight of the fruits = 312+434
= 72+194
= 144+194
= 334
= 814
(c) 223+312=83+72
=8×2+7×36
=16+216
=376
=616
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Each option: 1 Mark
There are total of 11 numbers from 0 to 10
1) Number of odd numbers (1,3,5,7,9) = 5.
∴ Fraction of odd numbers = 511
2) Number of prime numbers (2,3,5,7) = 4
∴ Fraction of prime numbers 411
3) Number of even numbers (2,4,6,8,10) = 5
∴ Fraction of even numbers 511
(a) Aashu's elder sister divided a watermelon into 6 equal parts and Aarush eats 4 of them. What fraction of watermelon has he eaten hand what fraction is remaining? What is the name given to the fractions obtained?
(b) Suman studies for 523 hours daily. She devotes 245 hours of her time for Science and Mathematics. How much time does she devote for other subjects? [4 MARKS]
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(a) Solution: 1 Mark
Name: 1 Mark
(b) Concept: 1 Mark
Steps: 1 Mark
(a) No of parts Arush has eaten = 4
Total no of parts = 6
So fraction of parts he has eaten = 46=23
Fraction of watermelon remaining = 1−23=3−23=13
The fractions 23 and 13 are called proper fractions.
(b) Total time of Suman’s study = 523=173 hours
Time devoted by her for Science and Mathematics = 245=145 hours
Thus, time devoted by her for other subjects = 173−145
= 17×515−14×315
= 4315
= 21315