Educational Publishing
A Craft called Mathematics
Encyclopædia Britannica, with its indisputable reputation
as a world reference authority for more than two centuries,
presents Mathcraft, a series of nine Mathematics books.
This includes a primer for the Kindergarten and eight
textbooks for Classes 1 to 8.
A Craft called Mathematics
Implementing the National Curriculum Framework 2005, the series
focuses on
 Learning mathematical concepts outside the classroom
 Interactive study approach that helps self learning
 Activities built around real-life experiences
 Opportunities to reason and analyse
3 Numb
 Spiral sequencing of concepts
ers up to 2
0
 Inclusion of cartoons and stories to make
In the gard
en
learning attractive
Mathcraft is designed to develop in
students an enthusiasm for the
craft of numbers, quantity,
and space.
mber
nu
Trace
rayon
5 by c
An interesting theme
introduces topics and
continues across the chapter’s content and
exercises keeping alive
learner’s enthusiasm.
s.
apple
r five
olou
and c
(2)
(1)
5
plete
Com
s by
icture
p
in the
g the
joinin
s.
dashe
5
(2)
(1)
Addend
an
Find the
1.
+
sum of ea
ExErcis
E
T
2
5
O
5
1
ch of the
+
Sum is
4.
+
T
2
4
O
9
0
T
6
1
23
O
3
6
3.
+
Sum is
5.
T
6
2
O
0
8
Sum is
6.
The Primer and
Books 1&2 are in
workbook format to
lighten learner load.
Sum is
T
7
1
+
+
T
8
1
Sum is
Sum is
O
1
6
make
���
0
21
make 10
.
1 ten.
54 55 56
51 52 53
58
67 68
on 23.
64 65 66
counter on
61 62 63
will keep blue
77 78
74 75 76
so as to
4. The partner
71 72 73
2 spaces down,
87 88
84 85 86
83
23 and move it
82
81
96 97 98
95
94
add 20.
red
91 92 93
will be on 43 and
5. Blue counter
counter on 23.
taking
be noted.
h the partners
6. Result will
will be done, wit
addition sums
counters.
7. Many such
and moving the
the board say
on
sum
turns at placing
tion
trac
will write a sub
8. Then teacher
l
the partner wil
29 – 5.
kept on 29 and
h 24. Result
counter will be
red
the
in
5 spaces to reac
Aga
9.
backwards by
nter
cou
e
blu
move the
the same way.
will be noted.
will be done in
s in the
traction sums
do the same sum
10. Many sub
ts should also
den
Stu
:
tion
Recommenda
s.
mn
colu
with
traditional way
69 70
79 80
89 90
99 100
ivity
mns
Record the act
in different colu
traction sums
Addition and Sub
n
ctio
Subtra
Addition
Result
Sum
Result
Sum
24
–5
29
43
23 + 20
2.1
following:
2.
Content of the
Primer and Book
1 initiates both
active and passive
learning.
10 ones
1 more
i
Playing w
example.
Keep the
ition
ber grid for add
l of using num
develop the skil
Objective: To
100 prepared
to
1
s
ber
tion
num
trac
and sub
grid with
students),
uired: A number
rd (1 grid for 2
Materials Req
d onto cardboa
d paper and glue
each student
on a square line
counters: 1 for
tic
plas
e
blu
red and
7 8 9 10
4 5 6
1 2 3
20
Procedure:
pairs.
17 18 19
14 15 16
can be done in
11 12 13
the
28 29 30
1. This activity
25 26 27
l write a sum on
wil
22 23 24
40
her
21
teac
37 38 39
2. The
34 35 36
33
20.
32
+
50
31
47 48 49
board say 23
counter
44 45 46
60
41 42 43
will keep the red
57 58 59
3. The student
1
d sum
When we
put things
together,
numbers
we do ad
we add ar
dition. +
e called ad
is the
dends and
the answer sign of addition.
The
we get, is
called the
Addends
sum.
1 6
+
5
1 0
2 1
+
7
Sum
When we
add two-di
1 7
gi
t numbers
Example.
, we first
Add 16 an
add the on
d 32.
es and th
Step 1: A
en the tens
dd the on
.
es
6 ones +
2 ones =
T
8 ones, w
O
Step 2: A
rite 8 in th
dd the tens
e ones pl
1
6
ace.
1 ten + 3
+ 3
tens = 4 te
2
ns, write
4 in the te
4
ns place.
8
Sum is 48
and
C
INTRODU
ivity
Maths Lab act
rt
ext sta
.
ws. N
e arro s you write
th
w
llo
’a
and fo s. Say ‘five
)
(1
t
do
ow
rt from llow the arr
5. Sta
Write t (2) and fo
o
d
from
2
48
9
�
O
1
8
Young learner
appeal in Primer
to Book 5
Abundant in-text activities,
jokes, along with games
in MathsLab pages for
learners to enjoy and learn
Ask
it b
for
ye
ye
w
N
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Books 6,7,8
�
CTION
INTRODU
(c)
B
(d)
integrate
an
mathematical
Let us take
as magic.
be shown
es
im
et
m
can so
ing and it
skills
ly interest
bers is real
ith num
Playing w
e.
pl
ith you.
exam
t handy w
llowing lis
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6
S
NUMBER
NS ON
OPERATIO
D
14 m
Interesting
appetizers begin
each chapter,
whetting
learner-interest.
10 cm
7 cm
Value adds
(b)
of each clo
(c)
sed figur
e by usin
A = �×
g the form
� � + � −�
ula
where p
= numbe
r of dots
on the bo
q = num
un
be
da
r
ry
of
3. Let us
of the fig
dots in in
ure
find the
side the
area of th
figure
e figures
:
Area of
Fig.(a),
A = �×
� + � −�
�
=4+5–
1
= 8 squa
re units
Area of
Fig. (b),
�
A= ×
� + � −�
�
=4+5–
1
= 8 squa
re units
Area of
Fig. (c),
A = �×
�� + � −
� =8+6
�
–1
= 13 squa
re units.
Area of
Fig. (d),
A = �×
�� + � −
�
�
= 9.5 + 2
–1
= 10.5 sq
uare units
For mor
(d)
e inform
ation vis
it www.
britann
ica.com
.
Maths-Lab Activity in
each chapter facilitates
hands-on learning
and consolidation of
mathematical concepts.
angles.
___________
e can have two
_____angles.
1. A triangl
e two ______
B
e can not hav
_____.
___
___
2. A triangl
4 ngl
is
a tria cm e C
le.
of angles of
than right ang
3. The sum
___________
called a reflex
angle is always
than 360° is
less
but
4. An acute
°
180
n
________ tha
___
le
ang
5. An
angle.
________.
__.
t only at ___
ed _________
can intersec
point are call
6. Two lines
rsecting at any
ch are not inte
7. Lines whi
_____ plane.
___
___
in
lines lie
_____ plane.
8. Two skew
called
lie in ______
a point are
s are always
rsecting at
9. Parallel line
which are inte
more lines
10. Three or
___________.
Higher Order Thinking Skills
(HOTS) interspersed frequently
include problems that trigger
analytical reasoning.
Objectiv
e: To deter
mine the
by using
area of clo
a dot pa
per
sed figur
Materia
es
ls Require
d: Dot pa
Procedur
per, geom
e:
etry box
1. Take
a dot pape
r and joi
figure as
n dots to
shown:
make clo
sed
(a)
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2. Calcu
late the
area
C
1. ____
___ is th
e distan
2. The
ce arou
distance
nd a cl
around
3. 1 he
osed fig
a circul
ctare =
ure.
ar region
______
4. If th
is calle
_ m 2 an
e area of
d its __
d 1 acre
a square
_____
5. If th
=
______
.
is 64 cm 2
e length
_ m2
of a regu
, then its
6. If th
lar octa
perimet
e side
gon is 4
er = __
times th of a square is
cm
_____
, then its
double
.
e origin
pe
d,
rim
then its
al perim
7. If bo
eter = __
perimet
th the
eter.
_____
heig
er beco
becom
mes __
es ____ ht and base of
_____
___ tim
a
8. If th
tr
iang
es of th
e circum
e origin le are halved
ference
9. If th
al area.
, then
of a circ
e area of
its area
le is 15
a circle
10. The
4 cm, th
is 314 m 2
area of
en its ra
,
th
dius is
en its di
circ ul ar
respectiv
______
am
ri
et
ng
ely is __
er is __
_.
w ith ou
_
_____
.
(u
te
se
r and
π = 3.14
.
inner
• Which
)
radii r
is smal
ler, the
1 an d r
perimet
perimet
2
er of th
er of th
e circle
e square
inscribe
or the
d in it?
• Calcu
late th
if AD||B e area of ΔABD
C and
the mea in the figure gi
measure
ven belo
sure of
of BC.
w,
AD is
double
A
the
��
take an
another
gic. Let us
itios n
rs gives us
wn as ma
Addeti
me be sho
ore numbe
m
e called
or
it can som
d
o
ar
CTION
an
d
DU
tw
ng
RO
de
eresti
INT
are ad
is really int
Addition of
which
is
rs
th numbers
be
wi
m
g
�
ta
yin
��
nu
ob ined
Pla
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r. The��� ��� ��nu
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numbe��
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example.
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handy with
the 0new 3
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OPERATIO
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and
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es us anoth
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lle
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ca
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led
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mo
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two or
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are
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ich
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s is
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mple,
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e same way
47
th
sum. For exa
in
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led
5
de
cal
01
ad
= 47
e
5ar
34
d
12
rs
+
an
s
0
be
nd
3467m
called adde
birth. Let Large nu
d 1234.5 are 0 and 12345.
670 anbe
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Here, l34nu
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al
as the
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ie
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ro
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it
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numb
99 bynt
en
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queot
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any two of
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fi
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oti
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sum of the
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find the su
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will be 24.
ththe
mbers:
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Best of luck
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Mental math drilling in
each chapter to instill the
skill of quick calculations
A
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rk because
my homewo
I couldn’t do entered my computer.
a virus had s has moved into my
And the viru pencils too.
pens and
Enjoyable
cartoons and
jokes inject
humour into
the classroom.
 Content links connect new to the previous
knowledge
 4 Es followed in topics: Example—
Explanation—Exercise—Evaluation
 Graded content with sufficient recapitulation
 Extensive drilling with an integrated
revision exercise in each chapter
 Question banks for the three academic terms
 More: Summary of topics, puzzles, jokes,
information snippets, and teacher’s tips
 Attractive layout with child-friendly
illustrations
1. A bus started its journey and reached different places with a
speed of 60 km/hr. The journey is shown as
(a) Find the total distance covered by bus from A to G.
(b) Find the total distance covered by bus from C to F.
25. A rectangular water tank of base 11 m × 6 m contains water up to a height of 5 m. If the water
from the tank is transferred to a cylindrical tank of radius 3.5 m, find the height of water level in
the cylindrical tank.
A 417 km
129 km
B
G
341 km
255 km
D. Answer the following:
C
F
D
E 814 km
Or
2. I am a number between 20 and 30. If you divide 71 and 94 by me, the remainder is 2. What
number am I?
Arman sold his motorcycle to Vineet at a loss of 28%. Vineet spent Rs 1680 on its repair and sold
it for Rs 35910 after making a profit of 12.5%. Find the cost price of the motorcycle for Arman.
3. Simplify:
100 + [10 + 15 of 3 – (20 + 30 – 45 ÷ 5)]
�
�
27. The value of a car is depreciating at the rate of �� � per annum. If its present worth is
4. Srikant plays basketball every day and Sauya plays basketball every fourth day. They played together
on Monday. When will they get a chance to play together again?
Rs 204800, what will be its value after 3 years.
5. From school A out of 650 students, 250 were selected for essay writing and from another school
B out of 800 students 325 were selected. From which school, more students were selected?
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28. A room is 4.5 m long, 3 m wide, and 2.8 m high. It has one door of dimensions 1.4 m × 2 m ×
1.5 m. Find the cost of whitewashing the inner four walls at the rate of Rs 10 per m2.
6. A rope is of length 7.87 m. If 2.58 m is cut from it, how much of the rope is left? Is this rope
sufficient to tie a cloth line between two hooks which are 6 m a part? If not, how much more is
required?
7. A monkey climbed up
8.
9.
10.
11.
� of a pole in first move, and in the next move it slipped down � of the
�
�
pole. In how many moves he finally reached on to the top of the pole?
Rima is 11 years old and his uncle is 59 years old. How many years ago the age of Rima’s uncle
become 7 times the age of Rima?
The interest on Rs 3,000 for one year is Rs 210. What is the interest on Rs 4,500 for a year at the
same rate? If one wants to get an interest of Rs 700 at the same rate, what should be the principal?
Construct an angle of 75° with the help of a ruler and a compass.
Swapana was asked to find the number of students playing different games in the school. The
information collected by her is as follow:
Football – 30
Badminton – 10
Cricket – 20
Volleyball – 30
Basketball – 40
Represent the above information with a pictograph.
(6 × 5 = 30)
26. Manish purchased two hand bags for Rs 750 each. He sold these bags, gaining 6% on one and
losing 4% on the other. Find his gain or loss per cent in the whole transaction.
216 km
483 km
(c) Find the time taken in entire journey from A to G.
29. Find the area of following figure:
���
Extensive drilling to
integrate concepts
Worksheets to
add challenge for
the learner
30. The electricity bills (in Rs) of 25 houses of a certain locality for a month are given below:
700, 324, 400, 617, 365, 356, 435, 548, 506, 736, 780, 378,
685, 570, 312, 630, 584, 674, 776, 754, 596, 745, 763, 565, 472
Prepare a frequency distribution table using suitable class intervals and draw the histogram.
Mathcraft aims to allow the student to explore the
multiple aspects of this subject through implementation of
its principles in life and, thereby, develop a passion for it.
The care and thought invested in designing Mathcraft will
assuredly hone not only mathematical skill and ability but
also foster a love and passion for the subject.
A Craft called Mathematics
24. Find the area of a trapezium whose parallel sides are 36 cm and 12 cm and its non-parallel sides
are 15 cm each.
�����������
Math Support
Teacher’s books: Along with abundant Teacher Tips in the
books, each book is accompanied by a teacher’s book to
facilitate teaching and provide additional activities.
Website: Access more Math related information
from www.britannica.com
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