Q11 Afraction is a rational number, and a rational number
(b) may or may not be a fraction
(d) can always be reduced to a fraction.
(a) can never be a fraction
(c) is also a fraction
Q12. Associative property does not follow in
(a)
Integers
(c) Rational Numbers
17
Q13. 11
(b)
Natural numbers
(d)
Whole numbers
6
11
(b)-1
(a) 1
(c) 6
(d) 3
(c)- 2
(d) -1
-4
4
has no reciprocal.
Q14.
(a) 1
(b) 0
-5
Q15. Multiplicative Inverse of
4
4
(a)
4
(b)
(c)
5
(d) 5
ASSERTION AND REASONING :
For the given questions two statements are given-one labelled Assertion (A) and the other
labelled Reason (R).
Select the correct answer tothese questions from the codes (a), (b), (c) and (d) as given below.
(a) Both a and Rare true and Ris the correct explanation of A.
(b) Both Aand Rare true but Ris not the correct explanationof A.
(c) A is true but Ris false.
(d) A is false but R is true.
Class-VI!
is
Assertion (A) : The standard form o f15
Q1
Reason (R) : A rational number
integersp and
Q2.
standard
is said to be in the
form if q is positive and the
have their least common factor as one.
number itself.
or equal to the
than
greater
Assertion(A): Absolute value of arational number is
taking the sign into account.
: Absolute value is the numencal value without
Reason (R)
Q3.
Assertion (A) : if and - 20 are Equivalent rational numbers
Reason (R) : Two rational numbers are said to be
reduction is equal.
7
Q4.
Assertion (A): - 3 is greater than -
then the value of x is 1.
eauivalent if their standard form after
on a number line.
Reason (R} :Any number on a number line is greater than any other
of it.
8
number lying to the right
Assignment- 2
CH-1: RATIONAL NUMBERS
Ql.
Earth's average surface temperature has risen above two degree Fahrenheit since the late 19th
century, a change driver largerly by increased carbon dioxide emission into the atmosphere and
human activities. For better understanding of this concept, the
teacher assigned the students
of her class to make a project on global
warming and its effects.
A student collected the
temperature of different cities and represented it through a table.
Observe the table and answer the
following
:
questions
City
Temperature
A
F
B
3°
10
D
1,
2.
4
15
The coldest city is.
(a) A
F
(b) B
If in one of
(c) C
the village of
city B the
temperature
of
village
is
temperature is 10
(a) 30°F
3.
(b) 45°F
Arrange the
F
(d) D
times to that of city
(c) 3°F
temperature of cities in descending order.
C
then, the
(d) 20°F
Compare the
temperature and suggest ORwhich city has the
ups.
few
call
Minimumrecruited
maximum
employees to call
Q2. A call
centre
hours is sloted to be 5
minimum
time
temperature.
and
hrs. customners
in a day. to offer
table shows the there is
services,
in
time recorddeduction
and follow
feedback
of 4
is paid
payment in caseExtracall incentive
for
is
time
employees.
the
below 5 hrs. exceeding
The
following
Call Time Record (in hrs.)
Name of Employee
Trijal
3
5A
Trisha
1
Tashi
1
1
Suhani
5
On the bais of above information answer the following questions.
The call time record of Tasthi is
1
3
(a)
(b)
(c)
2
2
The employee who is eligible for maximum Incentive is
(c) Tashi
(b) Trisha
(a) Trijal
3.
(d) -
3
2
(d) Suhani
Compare the call record time and name the employee who will get least payment.
OR
Compare total time record of Trijal and Trisha and mention who earned
Class-VIH
10
more.
Assignment-3
CH-1: RATIONAL NUMBERS
Very Short Answer Questions :
Q1.
Which is greater
7
or
4
5
48
02.
Write
Q3.
Write down arational number in
-60 in the standard form.
p
form whose numerator is (-3) x(-2) and denominator is
16 + (-4).
4
Q4.
Represent
Q5.
Write two rational numbers whose absolute value is
on a number line.
7
2
3
Short Answer Questions :
Q1,
Write three rational number equivalent to :
-3
2
4
(a)
(c) -9
(b)
4
Q2.
Express
Q3.
Fill in the blanks if
as a rational number with numerator - 28.
8
Q4.
Find the value of x :
(a)
-3
4
xX
20
-1
(c)
-
(b)
4
+X =
7
14
(d)
14
X
=
9
63
-X
14
63
Am away frorm schoo and Rahul lives 21 knaway
from school. Who live far from
the sch
long Answer Questions :
Arange the foliowing in descending order:
17
21
25
Find the average of
Strbtract the surm of
' 14 4
-S
6
and
8
and
- 32
from the sum of
and
5
Rohit donated a part of his nonthiy Income to NGO working for education of Girl Child. He spend
1
of his salary on food,
on rent and
15
on other expenses. If he is left with R9000,
find
his monthiy income.
"-7x 11" and denominator is
Write a rational number in which the numerator is 2 more than
form.
3 less than 3 x 6. Also, reduce the rational number in lowest
ss-VIl
Minimal keavning Worksheet
CH-1: RATIONAL NUMBERS
Ql.
Find x such that the rational number in each of the following pairs are equivalent.
48
(1)
Q2.
- 14 '
(i)
21
15
-5
X
7
Represent the following rational numbers on Number line:
8
3
(a)
5
(d)
(c)
(b)
Q3. Compare the rational numbers.
(a)
-8
5
and
w
7
(b)
13
and
3
-51
-23
9
6
(6)
16
43
Arange the tollowing rational Numbers as directed.
7-11
Class-VIi
(in Ascending Order)
10
-a0
75
-17
11
-7
3
30
15
10
5 (in Descending Order)
20
14
and
21
CORET
QS.
AcertainCfreezing process
OF
every hour. Whatrequires that rOOm
will be the
Q6.
Express
(a)
Q7.
Q8.
as a
emper ature to be
temperature
10
lowered frorn
hours after the S0c at the rate
process begins?
rational number with :
Numerator:63
Express
(a)
3
-8
room
(b)
Denominator :48
-35
735
as a rational number with:
Numerator:5
(b)
Denominator:147
Fill in the blanks :
44
-4
(a)
35
105
(b)
15
3
Class
20
15
Oarm-lAy Oorksheet
CH-2 : OPERATIONS ON RATIONAL NUMBERS
Fll in the blanks
(a) Numbers 1 2, 3, 4, which we use for counting, form the system of.
Q1
numbers.
(b) The smallest hole number is
ic) The numbers which are of the form
q
0 are called
numbers.
Add the following Rational Numbers.
Q2.
-3
(al
and
7
-4
10
(b)
7
5
and
7
15
4
Q3.
Multiply : 1 x27
04.
Circle the rational numbers which is equivalent to
-9
-24
-21
16
15
48
-35 -50
Express
Class-VI!
30
-12
-4
Q5.
5
as a rational number with numerator 16.
16
from the given rational numbers :
ORCE
AssiMultiplegnment
1
Choice
Q1.
CH-2 :
ON
OPERATI
O
NS
Questions
RATIONAL NUMBERS
Reciprocal of
:
where x # OJ is
(a)
Q2.
(b) xi
The sum of
(a)
Q3.
(c)
(d) o
-5
The Sum of any
(a)
1
(b) 5
rational number and its
(b) -1
Q4.
Inverse of
(d)
additive lnverse is
4
(a)
(d) None of
-2
-13 is
13
(b)
(c)
which doesn't lies between
15
(b)
10
The multiplicative Inverse of
8
(a)
3
-7
7
6
-6
2
and
(c)
15
(d) o
13
21
13
is
12
(d)
10
12
-3
8
(c)
(b)
3
(d) - 3 x 8
is equal to
14
(a)
these
-2
Q5. A rational
number
Q7.
(c) 4
(c) o
The additive
(a)
Q6.
(titel
COREI7
(b) -
(c) 1
(d)
14
6
Class-Vl
(a)
- 1l
(b)
(c) 1
(d) 0
-3
3
16
9
3
-128
(a)
(b)
Q10. When
is subtracted from
(b)
(a)
Q11 The product of
3
2
the result is
13
-13
(d)
7
7
and its additive Inverse is
3
(a)
()
27
5
-9
(d) 25
(c) -1
(b) 25
a12. When a non-zero rational number is divided by its additive Inverse, the quotient is
(a)
0
(d) 2
(c) -1
(b) 1
ASSERTION AND REASONING :
other
For the given questions twO statements are given-one labelled Assertion (A) and the
labelled Reason (R).
below.
Seiect the correct answer to these questions from the codes (a), (b), (c) and (d) as given
(a) Both a and R are true and R is the correct explanation of A.
(b) Both A and R are true but R is not the correct explanation of A.
(c) A is true but R is false
(d) A is false but R is true
Q1.
Assertion (A): ifx be a rational number, then 0 + x = x+0= x
addition.
Reason (R) : 'o is the ldentity element of rational numbers under
Q2
Assertion (A): Commulative property does not hold true for Rational
Reason (R): The rosult of
Class-VIM
7
3
and
3
(18)
is not same.
numbers under subtraction.
O3.
(A)
ASsertion
Reason (R)
:
Q4.
arecaIled
:
The
1F
ad
a
&
ad
ditive
'b a r e
lnverse of
3
any two raLÍOnal
ditive inverse
of
each other. numbrs Sucn that u + b
l6
Assertion (A) :
mutplICation of the first rationa1
rational number by
Reason (R) : Dividig one
3
21
another
of
b+
a
O,
than 'a' e
1s
OY2erO,
he Sarne as the
second rational
he
number.
Clas
19
Assignmc#t-2
CH-2:
Case Study-i
The Channel
UK with Tunnel, or
OPERATIONS ON RATIONAL NUMBERS
loquelles in 'Channel', is an undersea rail tunnel that connects Folkestone in kent,
The deepest
Pas-de-Calasis, France.
point of the
ts length is S0
km,
Channel Tunnel is 345 m below the sea
makes it one of the longest
average depth of thewhich
under water
tunnel is 40 m.
The
construction
On the basis of
(a)
of the
!f the
of UK, wants to make
the
the tunnels then the
Government
3
underground
station,
part of
after
every
10
distance between the
(b) S km
If the total cost spend on
3
4
of the tunnel is.
(a) $ 10,000,000
(c)
tunnels in the world. ne
Channel Tunnel started in 198S and it
was opened on 6 May i94.
above Information. Answer the
following question.
(a) 10 km
(b
level.
two consecutive stations is
(c) 15 km
(d) 7.5 km
making 50 km Tunnel is $ 16,000,000 then the cost for
(b) $ 4,000,000
(c) $ 8,000,000
making
(d) $ 12,000,000
Atrain at a uniform speed. Covers a distance of 100 km in 2= hrs. How much time the
train will take to pass the Channel Tunnel.
"2
OR
1
if the depth of the sea beyond the Channel tunnel is - 4000-m. Find the total distance
between the sea depth & the earth surface considering the average depth of (give the
answer as the the tunnel rational number in standard form)
Case Study-2
plays an important
Now a days smart phone
accounts and do the transaction by
role in our life. We can easily
just a single click.
access our bank
needs (like
go out to manage the daily
can't
and
alone
lives
person, he
the price of
"Mr. Mohan a Busy
phone. For this, he searched
smart
a
purchase
He decided to
grocery, mediums etc.)
phone was 15,000.
websites. The cost price of
different
phone on two
20
Class-VII
AMAZON
FLIPCART
Bumper Sale
Black Friday Sale
Every article is on
2
3
of CP
But Amazon have an additional offer the offer
Ply only
1
5
of the CP.
was:
Pay through HDFC Credit Card get an additional discount of 1 of the cost price.
6
On the basis of above Information, answer the following :
(i)
(ii)
The amount offered by Flipcard is:
(a) ? 3000
(b)
10,000
(c)
12,000
(d)
The amount of additional discount offered by Amazon :
When payment is mad using HDFC Credit card.
(c) 10,000
(a)
1500
(b) 2500
S,000
(d)3000
(iii) Which website offer the move discount of Mr. Mohan use his Credit Card and by how
much.
OR
If FLIPCARD also gives the same discount on HDFC Credit Card,then
smart phone.
calculate the price of
Ciass
2t
Minimal kearning Oorksheet
CH-2 :
Q1
2
OPERATIONS ON RATIONAL NUMBERS
1
21 and c = then check that
io- b)-c*0-(b- c)
Q2.
Verify the property a x (b x c) = o x
(b x c) for o =
1
3. Find any three rational numbers between
24
and
1
4
(10tal
GORCE
Q4
Multiply the sum of
and
13
21
Q5.
Verify
Q6.
Simplify5
+
COREI7
by their difference.
3 =
X
-18
-12
-
25
15
25
Class-V
Ciass-VI!
Q9.
Q8.
Q7.
Find
to
A
be book
Verify
the
read
sum
of
additive
that
has
by 350
Neeta. pages.
(x
+
y)
Neeta
x+
has
y
by
Inverse
of
read
7
and
5
part
28
multiplicative
of
the
x
=
7 -3
and =
y
book.
Inverse
taking
Find
21 13
the
of
3 -2
remaining
number
of
pages