Free Fractions 01 Practice Test - 6th grade
Question 1
If 5 of your friends ate one slice each from a medium pizza containing 6 equal slices, what will be the fraction of the pizza left over?
(56)th
(36)th
(16)th
(46)th
SOLUTION
Solution : C
Total number of slices = 6
Number of slices ate by friends = 5
So, the fraction of pizza ate by friends = 56
We know that,
Fraction of pizza ate by friends + Fraction of left over pizza = 1
∴ Fraction of left over pizza
= 1 - Fraction of pizza ate by friends
=1−56
=66−56
=6−56
=16
Question 2
Which of the following fractions lies between 38 and 78 on the number line?
12
14
2016
98
SOLUTION
Solution : A
Converting the given fractions into equivalent fractions with denominator 8, we have
1×42×4=481×24×2=28
9×18×1=9820÷216÷2=108
Since 3<4<8, we have 38<48<78
i.e., 38<12<78
Thus, 12 lies between 38 and 78.
Question 3
553+752 = ____
1567
1616
1476
1716
SOLUTION
Solution : B
553=5×3+53=203 and
752=7×2+52=192
Thus, 553+752=(203+192)
=20×23×2+19×32×3
=40+576
=976
=1616
Question 4
State whether true or false- Two equivalent fractions can never be like fractions.
True
False
SOLUTION
Solution : A
Two equivalent fractions can never have same denominators. And like fractions have same denominators. So, two equivalent fractions can never be like fractions.
Question 5
In a zoo, 45 birds out of 150 are migratory. 35 of the total birds are of the Indian origin. Which kind of birds are greater in number in the zoo?
Migratory birds
Indian birds
Both are same in number
Data Insufficient
SOLUTION
Solution : B
Fraction of migratory birds =45150=310
Fraction of birds of Indian origin
=35=610 ...(equivalent fractions)
And, we know, 610>310.
∴ The Indian origin birds are greater in number in the zoo.
Question 6
What is the fraction of students who failed in Maths exam if the total number of students who appeared in the exam was 65 and the number of students who passed is 57?
6557
857
5765
865
SOLUTION
Solution : D
No. of students failed = 65 - 57 = 8
Fraction of students who failed = 865
Question 7
Subtract 57 from 137
1
67
87
97
SOLUTION
Solution : C
The fractions having same denominators are called like fractions.
Numerators are subtracted directly keeping the denominator common for like fractions.
So, 137−57=13−57 =87
Question 8
If there are two equivalent fractions, there simplest forms will be
SOLUTION
Solution :If there are two equivalent fractions, their simplest forms are equal. E.g. 4560 and 1520 are
equivalent fractions. Both their simplest form is 34.
Question 9
A proper fraction is ___.
a fraction in which the numerator is lesser than the denominator
a fraction in which the numerator is greater than the denominator
a number that represents part of a whole
SOLUTION
Solution : A and C
A proper fraction is a number that represents part of a whole. So, it is a fraction in which the numerator is lesser than the denominator.
Question 10
If 99913 is represented in form of ab13, then the values of a and b are:
a=91 and b=11
SOLUTION
Solution : B
We have 99913=761113
∴a=76 and b=11