ICSE

ML Aggarwal Class 6 Solutions Chapter 6 Fractions Ex 6.2 for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 6 Fractions Ex 6.2

Question 1.
Show the fractions \(\frac{2}{5}, \frac{3}{5}, \frac{4}{5} \text { and } \frac{5}{5}\) on a number line.
Solution:

Question 2.
Show \(\frac{1}{8}, \frac{2}{8}, \frac{3}{8} \text { and } \frac{7}{8}\) on a number line.
Solution:

Question 3.
Show \(\frac{0}{10}, \frac{1}{10}, \frac{3}{10}, \frac{5}{10}, \frac{7}{10} \text { and } \frac{10}{10}\) on a number line.
Solution:

ML Aggarwal Class 6 Solutions Chapter 6 Fractions Ex 6.1 for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 6 Fractions Ex 6.1

Question 1.
Write the following division as fractions:
(i) 3 ÷ 7
(ii) 11 ÷ 78
(iii) 113 ÷ 128
Solution:

Question 2.
Write the following fractions in words.
(i) \(\frac{2}{7}\)
(ii) \(\frac{3}{10}\)
(iii) \(\frac{15}{28}\)
Solution:

Question 3.
Write the following fractions in number form:
(i) one – sixth
(ii) three – eleventh,
(iii) seven-fortieth
(iv) thirteen – one hundred twenty fifth
Solution:

Question 4.
What fraction of each of the following is shaded part?

Solution:

Question 5.
Shade the parts of the following figures according to given fractions:

Solution:

Question 6.
In the adjoining figure, if we say that the shaded region is \(\frac{1}{4}\) of the whole region, then identify the error in it.

Solution:

Question 7.
Write the fraction in which
(i) numerator = 5 and denominator = 13
(ii) denominator = 23 and numerator = 17
Solution:

Question 8.
Shabana has to stitch 35 dresses. So, ar she has stitched 21 dresses. What fraction of dresses has she stitched?
Solution:

Question 9.
What fraction of a day is 8 hours ?
Solution:

Question 10.
What fraction of an hour is 45 minutes ?
Solution:

Question 11.
How many natural numbers are there from 87 to 97? What fraction of them are prime numbers?
Solution:

ML Aggarwal Class 6 Solutions Chapter 5 Sets Check Your Progress for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 5 Sets Check Your Progress

Question 1.
State which of the given collections are sets:
(i) Collection of all poor people of Dhanbad.
(ii) Collection of all difficult problems in your maths book.
(iii) Collection of all fools.
(iv) Collection of all countries of Asia.
(v) Collection of four countries of Asia.
(vi) Collection of three cities of India whose name start with the letter ‘J’.
(vii) Collection of all people in this world over 50 year of age.
Solution:

Question 2.
If A = (3, 5, 7, 9, 11}, then write which of the following statements are true. If a statement is not true, mention why.
(i) 3 ϵ A
(ii) 5, 9 ϵ A
(iii) 8 ∉ A
(iv) 7 ∉ A
(v) {3} ϵ A
(vi) {5, 9} ϵ A
Solution:

Question 3.
Write the following sets in the roster farm :
(i) A = (x | x is a month of a year having 30 days}
(ii) B = (x | x = 2n, n ϵ W and n < 5}
(iii) C = (x | x ϵ N and x² < 40}
(iv) D = (all letters in the word PERMISSION}
(v) E = (x : x ϵ I and x² < 10}
(vi) F = (x : x ϵ N, 15 < x < 50 and x is divisible by 6}
(vii) the set of whole numbers which are greater than 14 and divisible by 7.
(viii) the set of signs of four fundamental operation of arithmetic.
Solution:

Question 4.
Write the following sets in set builder form :
(i) A = (2, 3, 5, 7, 11, 13, 17, 19}
(ii) B = (all months of a year}
(iii) C = (Monday, Tuesday, Wednesday}
Solution:

Question 5.
Write the following sets in roster form and also in set builder form :
(i) A = {even whole numbers which are less than 50}
(ii) B = {two digit numbers which are perfect square}
(iii) The set of letters in the word MUSSOORIE
Solution:

Question 6.
The sets on the left are in tabular form while the sets on the right are in set builder form. Match them.
(i) {2, 3} – (a) {x/x ϵ N and x < 6}
(ii) {P, A, Y} – (b) {x: x is a prime factor of 6}
(iii) {1, 3, 5} – (c) {x | x is an odd natural number less than 6}
(iv) {1, 2, 3, 4, 5} – (d) {x/x is a letter in word PAPAYA}
Solution:

Question 7.
Classify the following sets as empty set, finite set or infinite set:
(i) The set of all even prime number > 2.
(ii) The set of even prime numbers.
(iii) The set of prime numbers less than one crore.
(iv) {All points on a line segment of length 3cm}.
Solution:

Question 8.
Find the cardinal number of the following sets.
(i) A = {x | x is a consonant in the word HUNDRED}
(ii) B = {x/x is a vowel in the word DEHRADOON}
(iii) C = {x | x ϵ W and x² < 50}
(iv) D = {Students of your school having 10 heads}
(v) E = {x | x is a prime between 8 and 30}
Solution:

ML Aggarwal Class 6 Solutions Chapter 5 Sets Objective Type Questions for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 5 Sets Objective Type Questions

Mental Maths
Question 1.
Fill in the blanks:
(i) A collection of ……… objects is called a set.
(ii) If x is a member of the set A, we write it as ………
(iii) The order of listing the elements of a set can be ………
(iv) If one or more elements are repeated, the set remains ………
(v) If X is the set of all letters in the word ‘MATHEMATICS’, then the cardinal number of the set X is ………
Solution:

Question 2.
State whether the following statements are true (T) or false (F). Justify your answer.
(i) A collection of stamps is a set.
(ii) A collection of some fruits is a set.
(iii) A group of boys playing cricket is a set.
(iv) Collection of all students of your class taller than you is a set.
(v) Collection of five rivers of India is a set.
Solution:

Multiple Choice Questions
Choose the correct answer from the given four options (3 to 9):
Question 3.
Which of the following collections is a set?
(a) Collection of all tasty fruits
(b) Collection of all good football players of your school
(c) Collection of all months of a year
(d) Collection of 5 most intelligent students of your class.
Solution:

Question 4.
The tabular form of the statement ‘All months of a year whose names begin with the letters J’ is
(a) {January, June, July}
(b) {months of a year whose names begin with the letter J}
(c) {x | x is a month of a year whose name begins with the letter J}
(d) none of these
Solution:

Question 5.
The method of representation used in the set A = {x | x is an even natural number less than 15} is called
(a) Description method
(b) Rule method
(c) Roster method
(d) None of these
Solution:

Question 6.
The cardinal number of the empty set is
(a) 2
(b) 1
(c) 0
(d) none of these
Solution:

Question 7.
If S = {x | x is a letter in the word AHMEDABAD}, then the cardinal number of S is
(a) 9
(b) 8
(c) 7
(d) 6
Solution:

Question 8.
If A = {x : x ϵ N and x is an odd prime number less than 17}, then the cardinal number of A is
(a) 8
(b) 6
(c) 5
(d) none of these
Solution:

Question 9.
{months of a year whose names begin with the letter F} is
(a) an infinite set
(b) empty set
(c) singleton set
(d) none of these
Solution:

ML Aggarwal Class 6 Solutions Chapter 5 Sets Ex 5.2 for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 5 Sets Ex 5.2

Question 1.
State whether the following sets into empty, finite and infinite sets. In case of (non-empty) finite sets, mention the cardinal number.
(i) {all colours of a rainbow}
(ii) {x | x is a prime number between 7 and 11}
(iii) {multiples of 5}
(iv) {all straight lines drawn in a plane}
(v) {x | x is a digit in the numeral 550131527}
(vi) {x | x is a letter in the word ‘SUFFICIENT’}
(vii) {x | x is a vowel in the word MATHEMATICS}
(viii) {x : x is an even whole number and x ≤ 20}
(ix) {x : x ϵ I and -2 ≤ x ≤ 5}
(x) {x : x is a prime number less than 25}
(xi) {x : x is a prime factor of 180}.
(xii) {x : x ϵ N and x is a composite number < 12}
Solution:

Question 2.
State whether the following pairs of sets are equal or not:
(i) A = {2, 4, 6, 8, 10}, B = {even natural numbers}
(ii) A = {3, 5, 7, 9, 11, 13}, B = {odd numbers between 2 and 14}
(iii) A = {PUPPET}, B = {P, U, E, T}
(iv) A = {x | x is a letter in the word SOPHIA}
B = {x | x is a letter in the word MUMTAZ}
(v) A = {kids 5 metres tall}, B = {x : x ϵ N and 2x = 3}.
Solution:

Question 3.
Given that A = {2, 5, 7, 8, 10}, B = {5, 7, 2, x, 10} and A = B, write the value of x.
Solution: