Class 5 Maths Chapter 4 HOTS Questions - Chapter 4- Parts and whole

Q1: Monthly salary of a person is Rs.15000. The central angle of the sector representing his expenses on food and house rent on a pie chart is 60^o . The amount he spend on food and house rent is
(a) 5000
(b) 2500
(c) 6000
(d) 9000
Ans: (b)
Sol: As, total salary= 15000, expenses on food and house rent= 60^o
 Food and housing expenses from monthly salary = Central angle of the part of pie chart / Central angle of the pie chart
Given that,
Part of salary spent on food and house rent = 60^o  / 360^o = 1/6
Salary spent in amount on food and housing = 1/6 x 15000
= 2500
∴2500 Rs is total amount spent on food and house rent.

Q2: A rectangle is divided into a certain number of equal parts. If 16 of the parts so formed represent the fraction  1/4 , find the number of parts in which the rectangle has been divided.
Sol: Let the number of parts in which the rectangle has been divided be x
According to the question ⇒ 16/x = 1/4
Cross-multiplication  ⇒16 × 4 = 1 × x
⇒ x = 64
64 are the parts in which the rectangle has been divided.

Q3: Pictorial representation of  is?
(a)
 
(b)

(c)

(d)

Ans: (b)
Sol: We have given Pictorial representation of 3 x 2/3

∴    Option B is correct answer.

Q4: What fraction of the figure is shaded?

(a) 4/9
(b) 1/2
(c) 5/9
(d) 2/3
Ans: (b)
Sol: If we rearrange the figure then we can conclude that out of 9 squares, 4.5 squares are shaded
So the fraction of figure which is shaded is 4.5/9 = 1/2

Q5: What is the sum of shaded parts of the given figures?
(a)
(b)
(c)
(d)
Ans: (b)
Sol: In figure I,
Total number of equal parts =4
Number of shaded parts =3
Therefore shaded  fraction = 3/4
In figure II,
Total number of equal parts =16
Number of shaded parts = 8
Therefore shaded fraction = 8/16 = 1/2
So, required sum = 

Q6: Ali divided one fruit cake equally among six persons. What part of the cake he gave to each person?
Sol: Ali has to divide one fruit cake equally among 6 persons
∴ Each person will get 1/6th part.

Q7: The following figure represents:
(a)
(b)
(c)
(d)
Ans: (d)
Sol: The given figure has 3 large squares with 4 parts in each square.
In the first square, all 4/4 parts are colored.
In the second square also all 4/4 parts are colored. In the third square, only 1/4 is colored.
So we can say that the given figures are 1 + 1 + 1/4 = 2 Whole 1/4
Option D is the correct answer.

Q8: How many more unit squares in the figure must be shaded so that the fraction of shaded squares is 7/9?
(a) 1
(b) 3
(c) 6
(d) 8
Ans: (d)
Sol: Total number of unit square is 18
⇒  Let total number of shaded squares be x.
⇒  Fraction of shaded squares is
→   According to the question,
⇒ 7/9 = x/18
⇒ x = 7/9 x 18
⇒  x = 14
⇒  Out of these 14 squares 6 are shaded.
∴    We have to shade 8 more squares.

Q9: Shade the parts of the following figures according to given fractions:
Sol:
Q10: What fraction of the figure is shaded?

(a) 7/8
(b) 5/8
(c) 1/2
(d) 3/4
Ans: (d)
Sol: Total number of equal triangles = 8
There are 2 smallest parts, 2 medium parts and 2 largest parts left unshaded. So combining them we will get 2 unshaded triangles.
Number of shaded triangles = 6
∴ Shaded fraction = 6/8 = 3/4.