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IN
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EP
IN
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A cour
course
rse iin
nM
Mathematics
athematics
NT
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FOR EACH CLAS
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BOOK
EXT
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25
M
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AC
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CONTENT
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TIO
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CLASS
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e-learning
Teacher Web Support
for classes 4 to 8
PRACTICE/
APPLICATION
INSTRUCTION
Conforms to the National
Curriculum Framework 2005
Graded contentȱ ’‘ȱœžĜŒ’Ž—ȱ
recapitulation
Summary of topics, puzzles,
information snippets, and teacher’s
tips
ENGAGEMENT
Hands-on learning through
Revision Exercise, Mental Maths,
MCQ’s, Maths Lab Acitivy and
Worksheets
Interactive student CDs integrates
concept-building through visuals,
animations, exercises, and
quizzes
Term-wise sample tests
Teacher’s manuals with extensive
teaching aids and additional
exercises
Practice Section for additional
drilling
Teacher’s portal that includes
online tests, worksheets per
class, and Vedic Problem Solving
Assesment (PSA) connected to
the chapter
CCE icons to help the teacher in
formative assessment
Higher Order Thinking Skills
(HOTS) interspersed frequently
includes challenges that trigger
analytical reasoning.
Thinking,,
Social,,
Teachers,
s,
Schoolmates,
s,
Environment,
t,
ȱ’Ž›Š›¢ǰȱ
ǰȱ
Emotional
School programmes,
Values
Creative,,
ȱŒ’Ž—’ęŒǰȱ
ǰȱ
ȱŽ›˜›–’—ȱŠ›œǰȱ
ȱȱ›˜‹•Ž–ȱ˜•Ÿ’—ȱœœŽœœ–Ž—ǰȱ•ž‹œDZȱȱ
DZȱ
Two sets of re
vision exerci
ses per chap
Rolling and sli
ter
ding
BOOK 1
The ball ›˜••œ
down.
The box œ•’Ž
ŠŒ‘ȱ‘Žȱ˜
œ down.
‹“ŽŒœȱ˜ȱ‘ŽȱŒ
˜››ŽŒȱ ˜›ǯ
Rolls
Slides
Put a tick (3 Workb
ǼǼȱ˜›ȱ‘ŽȱŒ˜›o›Ž
oŒȱ
k fo˜›rm
ǯ at
˜•’œ
Chalk
of book
s1&2
Step 3.˜
M••œ
ultiply th •’Žœ
e hundred
s.
2 hundred
s×2=4
hundred
Write 4 in
s
the hundr
eds colu
Answer :
mn.
468
Duster
ŠŽ›ȱ‹˜
˜Ĵ•Ž
School bag
Plate
lightens
learner
×
4
Coin
42
1. Find
It is crucial
to understan
the prod
d the con
’쎛Ž—ȱ ˜‹“
uctrol
. ling and
t of
ŽŽŒœȱ•’”Žȱ
(aŒ›Š
) ¢˜—œ, chalk cep
‘ŽȱŒ•Šœœ›˜˜–
sliding. Ma
pieces, and cha
ȱŠ—ȱ˜—ȱ‘Žȱœ•
(b)
T’Žȱ’—ȱ
lk box should ny activities with
O‘Žȱ™•Š
be done for
¢›˜ž—ǯ
this—in
T
(c)
2
×
4
O
4
2
8
3
×
2
3
2. Find
the prod
uct.
(a)
H T
O (b)
H T
3 3
2
×
2 2
3
×
T
O
2
7
×
O
1
4
1
(c)
×
H T
1 0
load.
BOOK
H T
2 3
(d)
×
Exercis
T
O
5
4
(e)
0
O
1
5
6
Higher ord
er thinkin
g skills (H
OTS) inte
rspersed fr
equently
2. Solve
the follow
ing.
O
4
2
8
(a) The co
st of a bu
s ticket is
they pay?
` 35.40.
2
T
O
1
×
7
(d)
H T
3 7
×
O
5
1
umber b
y
H
T
5
3
×
O
6
6
6
134
85
BOOK 3
ts, how m
uch will
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Multipli
ca
regroup tion of a 2-dig
it
ing and
carrying number by a 1Multiply
digit n
over
56
by 6
Step 1. M
ultiply th
e ones.
6 ones ×
6 = 36 on
es
Write 6 on
es in the
ones colu
3 tens to
mn and
the tens
carry
column.
buy the tic
ke
`
p
Cost of 1
ticket
=
35 40
Number of
people = ×
So, total co
3
st is
Answer : 3
people will
have to pa
(b) Mohan
y ` ______
bought 6
__ .
pens for `
54. What
Cost of 6
was the co
pens = ` 54
st of each
So, the co
pen?
st of 1 pen
will be ` 54
Answer : Ea
y
6
=
` ______
ch pen co
__
st
s ` ______
(c) The co
__ .
st of a penc
il box is `
(d) If the
78.65. Wha
cost of 5 ki
t will be th
te
s is ` 25.5
e cost of 6
(e) The pr
0, what w
such boxe
ice of
ill be the
s?
cost of on
buy 4 such one cricket ball is
e kite?
` 149.80.
balls?
H
ow
much mon
(f) Manga
ey will be
la paid ` 45
needed to
for 9 enve
lopes. Wha
t was the
cost of on
e envelope
?
e 7.5
1
If 3 people
Put >, <,
or = sign
in the bo
x.
(a) 426 p
` 42.60
(b) 7178 p
(c) 639 p
` 71.78
` 6.93
(d) ` 14.50
(e) ` 7.00
` 18.50 –
500 p + 20
`4
0p
(f) ` 10 +
` 20
300 p
lling in each
The series aims to develop in
students a logical sharpness
along with passion for this field
of number, quantity, and space.
ch chapter.
ers begin ea
petis
Interesting ap
l Math dri
Q and Menta
paper.
paper or grid
tices, faces,
metric dotted
numbers of ver
wn on an iso
F stand for the
pe can be dra
and
E,
sha
V,
3D
ere
id
• A sol
– E = 2, wh
F
+
V
t
tha
rams.
ula states
are parallelog
• Euler’s form
polyhedron.
and side faces
pectively, of a
ent polygons
and edges, res
top are congru
es.
ngl
and
e
tria
bas
are
ose sides
a solid whose
ygon and wh
• A prism is
base is a pol
is a solid whose
• A pyramid
s.
s and _____ face
_____ vertice
ar pyramid has
1. A rectangul
_____ edges.
_____ faces and
__ faces.
___
has
e
n
hav
dro
then it will
2. An octahe
and 12 edges,
_____ edges.
has 8 vertices
it must have
3. If a prism
6 faces, then
and
s
tice
ver
s.
id has 6
_____ vertice
4. If a pyram
__ faces and
prism has ___
id is _____.
5. A hexagonal
tagonal pyram
of faces in a pen
ber
__.
___
num
id is
6. The
square pyram
es is _____.
of edges in a
s, and 18 edg
7. The number
faces, 12 vertice
n which has 8
e.
ngl
8. A polyhedro
tria
__
___
n is
of a tetrahedro
9. Each face
faces.
es has _____
id with 8 edg
10. A pyram
Extensive drill
ing to integrate
concepts
BOOK 6
BOOK 7
Recap Exercis
e
1. Which of the
following fraction
s are unit
3 6 1 9 1
1 7 1
, , ,
7 3 5 17 , 20 , , ,
2 31 7
2. Which of the
following are pair
s of like
(a) 1 , 2
3. Write the follo
wing
$
2
BOOK 4
1. Write the
greatest 6-dig
Maximum
it nu
Internationa
Marks: 25
l place value mber in figures by sepa
rating perio
chart.
2. Write the
ds in the
successor of
th
e smallest 63. Solve.
digit numbe
1
r.
(a) 64489 +
1
32051
(b) 68500 –
4. Suraj earn
47391
2
s ` 8857 a m
onth. How
5. Find the
much does
number of
he earn in a
hours in 25
ye
ar
?
20 minutes.
6. Find the
1
LCM of 12
and 15.
7. Solve.
1
1
(a) 2 + 3 1
1
6
(b) 5 4 – 2 3
4
2
8. If the dia
8
meter of a cir
6
cle is 12 cm
9. (a) Conv
, find its radiu
ert 77 mm int
s.
o cm and m
(b) Conver
m.
2
t 65870 g int
o
kg and g.
10. Write th
2
e time usin
g a.m. or p.m
.
(a) 2 hours
after 6:40 a.m
.
11. Find th
e number of
(b) 3 hours
2
days betwee
before 9:20
n (do not in
p.m.
(a) 18 April
clude eithe
to 7 June.
r date)
12. Find th
e cost of
(b) 7 July to
2
27 August.
(a) 9 boxes,
if 1 box costs
`
228.50.
13. Look at
the pattern
(b) 1 mug,
2
and complete
if 8 mugs co
st ` 216.
(a) 7, 14, 21
the series.
, 28, 35, __
_____, ____
(b) 258, 26
__
_, _______,
8, 278, 288,
2
_______
_______, __
14. Compl
_____, ____
ete the num
___, ______
ber towers.
_
(a)
(b)
16
10
8
2
7
8
15. Rohit wa
lks for 50 m
inutes every
will he retur
day. If he
n?
7
left home at
1
5
6:45 a.m., at
what time
(c)
7 11
,
9 9
(d)
3
1
8
8
(a)
6
6
(b)
and 7
13
13
(b) 7 3
12
12
We have already
done the basic
operations of
add itio n and sub
trac tion of frac
tion s in the
previous class. Now
, we shall study mul
tiplication
and division of frac
tions.
MULTIPLICATION
OF FRACTIONS
3
and 5
7
28
(c)
(c) 47 25
11
11
12 18
(d)
13
and 9
25
5
(d) 7 1 2 3
6
42
When these strip
s are combined, the
shaded parts
together form 3
out of 4 parts [Fig
. 2.1(iv)].
(i)
PSA
Multiplication
(ii)
of a fractional
number
by a whole num
ber
(iii)
To understand the
multiplication of
fractions, let
(iv)
us consider an exam
ple:
Fig. 2.1
We know that mul
tiplication is repe
ated addition. Thus,
Using this fact, let
the shaded parts
us consider a mul
represent 3 .
tiplication fact,
say, 3 u 1 .
4
We can write this
as
4
1
Consider 3 strip
1u 3
s (i), (ii), and (iii)
u
=
3
. Each of these
4
stri ps
p iss div ided into
4
4 par ts, out of
whi ch This gives us the following
one part is shaded.
rule to m
multiply a
fraction by a who
le number:
them
e introd
"
6 3
,
11 7
1
(b) 1 , 2 5 , 1 7 , 7
3
7 7 7 7
1
and 2
9
9
6. Find the diffe
rence:
then,
DA
+ BC + CD +
Perimeter = AB
= 4s
=s+s+s+s
Perimeter
fractions?
fractions in asce
nding order:
5. Add the follo
wing:
(a)
Fig. 16.2
Interesting
3 5
,
2 7
fractions?
(a) 6 , 3 , 9 1
11 11 11 , 11
(b) 1 1 , 2 1 , 1 2
4. Write the follo
wing fractions in
2 4 5
descending orde
r:
3
1
5
(a) , , , 11
of a square
l length
Perimeter
CD is the tota
of a square AB
e is s
The perimeter
gth of each sid
sides. If the len
of all its equal
Fig. 16.3
(b)
3 3
are,
(tr iangle, squ
t all polygons
rectilinear
We know tha
agon, etc.) are
hex
on,
tag
rectangle, pen
ON
INTRODUCTI
den. figures.
all its sides
tching their gar
the lengths of
father are wa
e to make it ? Perimeter = Sum of
Rohan and his
wir
bed
bar
h
fence it wit
the
to
se
nt
wa
cha
ey
Th
rket to pur
of a triangle
ng to the ma
of the Perimeter
sum of the
safe. Before goi
w the length
ngle ABC is the
er wants to kno
m The perimeter of a tria
sides of a
wire, his fath
lengths of the
gth, he starts fro
len
the
If
the
re
es.
sid
asu
To me
ps lengths of its
wire needed.
n
garden and kee
a, b, and c, the
ndary of the
are
bou
e
the
line
ngl
ry
on
tria
a point
ng the bounda
+ BC + CA
asuring tape alo
has
Perimeter = AB
moving the me
That means he
a+b+c
initial point.
=c + a + b=
and the length
and reaches the
den
gar
the
of
te round
ce
ple
tan
com
dis
a
de
the
ma
equal to
ring tape is
tape is
of the measu
is length of the
full round. Th
covered in one
.
den
gar
the
of
the perimeter
SamplebouTendastry.
BOOK 8
MC
er and Area
16. Perimet
Fig. 16.1
Workshee
ts to add ch
allenge for
TER e lear
gth off its
PERIMEth
nreer
is the total len
of a closed figu
chapter
uces topics
and exercise
3. Factors a
nd M
s.
ultiples
BOOK 5
Let us revise
Lakshya was
going with his
father to meet
signals on the
his uncle. Hi
way. He wond
s father was
ered whether
when it was
observing the
there was a wa
green and zip
traffic
y to approach
through all the
each signal on
way.
ly
Recap Exer
cise
1. Use multi
plication to
find factors
(a) 56
of the follow
ing.
(b) 48
2. Use divisi
on to find fac
(c) 108
tors of the fol
(a) 64
lowing.
(b) 90
3. A labourer
has to put 90
(c) 144
bricks in equa
number that
l piles. What
he can make
are the differe
?
nt piles of eq
ual
2
4
%
Value Adds
Approximately 250 new questions per class
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MathSight
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MathSight
MathSight
A Course in Mathematics
A Course in Mathematics
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MINIMUM SYSTEM REQUIREMENTS
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MINIMUM SYSTEM REQUIREMENTS
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A Course in Mathematics
MINIMUM SYSTEM REQUIREMENTS
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! Internet Explorer 9, Internet
Explorer 10, and Internet
Explorer 11 web browsers.
MathSight
A Course in Mathematics
®
! Microsoft Windows XP, INSTALLATION INSTRUCTIONS
Vista, Windows 7, or
Windows 8
! Flash player 8 and above
MINIMUM SYSTEM REQUIREMENTS
A Course
®
! Microsoft Windows XP,
! Pentium III or equivalent
INSTALLATION INSTRUCTIONS
1. The MathSight program
will automatically launch
from the CD.
2. In case it does not, access
the CD ROM drive through
Windows Explorer.
3. Choose 'NewMathsight
TM6to8.exe' and run the
application.
TEACHER’S MANUALSTEACHER’S MANUALS
1 to 5
6 to 8
Teacher’s Manuals CDs
User friendly
interface makes pages
easily accessible
Textbooks in the latest
global standard format
epub3
Bookmark your
favourite pages
The dynamic pagination
of content makes studying
interactive and engaging
Content display adapts to the
screen of the device rather
than forcing the reader to
zoom and pan
Animated interactive content
to reinforce mathematical
concepts through cricket
Engaging content makes learning fun
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