Prime Mathematics 3

Unitary method

Learn the following:

The cost of 1 pencil is Rs. 6
The cost of 4 pencils is Rs. 6 + Rs. 6 + Rs. 6 + Rs. 6 = Rs. 24
Or, 4 times Rs. 6
= 4 × Rs. 6
= Rs. 24

Rs. 6 Rs. 6 Rs. 6 Rs. 6
So, if we know the cost or value of one object, we can find the cost or
value of any number of objects by multiplying the number of objects by
its cost.

The cost of 3 sharpeners is Rs. 9 = Rs. 9
9

− 3
=6
− 3
= 3
− 3
=0

or, 9 ÷ 3 = 3
∴The cost of 1 sharpener is Rs. 3

So, if we know the cost or value of certain number of objects, we can
find the cost or value of 1 object by dividing the total cost or value by the
number of objects.

Unitary method is the method of unit (one).

Example 1: If the cost of a pen is Rs. 25, what is the cost of 6 such
pens?
Solution: The cost of 1 pen is Rs. 25
∴ The cost of 6 pens is 6 times Rs. 25

= 6 × Rs. 25 = Rs. 150
Therefore, the cost of 6 pens is Rs. 150.

196 Prime Mathematics Book − 3

Example: 2 If the cost of 4 colour pencils is Rs. 20, what is the cost
of 1 colour pencil?
Solution: The cost of 4 colour pencils is Rs. 20
∴ The cost of 1 colour pencil is Rs. 20 ÷ 4

= Rs. 5
Therefore, the cost of 1 colour pencil is Rs. 5

Execrise - 13.1

A. Complete the following:

(a) If one diary costs Rs. 48, find the cost of 4 such diaries.
1 diary costs Rs. 48.
∴ 4 diaries cost .......... × ......... = Rs. ..............
(b) If 1 kg of sugar costs Rs. 60, find the costs of 3 kg sugar.
1 kg sugar costs Rs. 60.
∴ 3 kg of sugar cost ......... × .......... = Rs. .............
(C) A book contains 214 pages. Find the number of pages of 5 such

books.
1 book contains 214 pages

∴ 5 books contain ......... × ........... = ............... pages.
(d) A bottle of coke costs Rs. 35. Find the cost of 6 bottles of coke.
1 bottle of coke costs Rs. 35

∴ 6 bottles of coke cost ......... × .......... = Rs. ...............

B. Complete the following:

(a) 5 pens cost Rs. 60. Find the cost of a pen.
5 pens cost Rs. 60.
∴ 1 pen costs .......... ÷ ........... = ..........
Therefore, 1 pen costs Rs. ...............

(b) With 6 litres of petrol, a bike moves 312 km. How many kilometers
does the bike move with 1 litre of petrol?

With 6 litres of petrol, it moves 312 km.
∴ With 1 litre of petrol, it moves ......... ÷ ......... = ........... km
Therefore, with 1 litre of petrol, the bike moves ............. km.

Prime Mathematics Book − 3 197

(c) 12 kg of rice cost Rs. 396. Find the cost of 1 kg of rice.
12 kg of rice cost Rs. 396

∴ 1 kg of rice cost ............. ÷ .......... = ..........
Therefore, 1 kg of rice costs Rs. .............
(d) If 10 litres of petrol cost Rs. 850, find the cost of 1 litre of petrol.
10 litres of petrol cost Rs. ............
∴ 1 litre of petrol costs Rs. ........ ÷ .......... = Rs. ..............
Therefore, 1 litre of petrol costs Rs. ..........

C. Solve the following (do in your exercise book)

(a) A man earns Rs. 9630 in 30 days. How much money does he earn in
a day?

(b) The cost of 1 kg of potato is Rs. 42. Find the cost of 7 kg of potato.
(c) The weight of 1 packet of sweets is 350 grams. Find the weight of

6 such packets of sweets.
(d) The cost of 6 loaves of bread is Rs 132. What is the cost of a loaf of

bread?

Bill

Yesterday, I'd
purchased a Stationery.
The shopkeeper gave me

this bill.

1. Nepali Paper 10 120 1200
Colour paper 5 50 250
Learn the following: 2. Box 10 45 450
3. Tools 5 200
1000
• Bill is a written statement of sale 4.

and purchase.
• In general a bill contains
(i) Name and address of the shop
(ii) Bill number
(iii) Date
(iv) Name and address of the buyer
(v) Details of item bought with their 2900.00
quantity, rate and cost
(vi) Signature of the seller 2900.00
(vii) What is the VAT No.:
Rsd

198 Prime Mathematics Book − 3

Study the bill given alongside and answer the
following questions.

(a) Name the shop where the Pragya Publication & distributor
purchase was made. Where is it?
……………………………… Chabahil, Kathmandu

(b) Who bought the goods? Where is Bill
he from? …………………………………..
Bill No.: 2356 Date: .2.0..6.7../0..2./.1.0
(c) When was the purchase made? Name of purchaser ..D.i.p.e.s.h.S.h..re.s.t.h........... Address: .B..a.u.d.d.h.a.......
..................................
S.N. Particular Rate (Rs.) Qty. Cost (Rs)
1. Pragya Maths 300 2 600
2. Note copy 50 3 150
3. Pencils 8 2 16

(d) How much was paid in total?
(e) ……………………………. Total Rs. 766

How much does a Pragya In words: .s.e..v.e.n.. .h.u..n.d..r.e.d.. .s.ix..t.y. .s.i.x. .o..n.l.y........
................................................... .........................
Signature
Mathematics book cost? ……………………………..

(f) How many pencils were bought? …………………………………

(g) What is the cost of 3 copies?

The cost of 3 copies = × = Rs.

Suppose you are sales boy/girl of ABC Retailing Centre.
Tsering Bholan from Jorpati – 3 made the following
purchase.

Pokhareli rice 3 kg costing ABC Retailing Center
Rs. 60 per kg, Mung dal 1 kg
Puttalisadak, Kathmandu
Phone No:.............

costing Rs. 56 per kg, sugar Bill No.: 123 Date: ............
2 kg costing Rs. 150, Soap 4 Address: ...............
pieces costing Rs. 22. Prepare Name of purchaser ......................... Qty. Amount

S.N. Particular Rate (Rs.)

the bill.

Total

Amount in words: .........................................................

Goods once sold are not returnable. .........................
Signature

Prime Mathematics Book − 3 199

Unit Revision Test

The cost of a pen is Rs. 42, find the cost of 3 such pens.
The cost of 1 pen = Rs. 42

∴ The cost of 3 pens = = Rs.

If the cost of 6 kg of sugar is Rs. 300, find the cost of 1 kg
of sugar.
The cost of 6 kg sugar = Rs. 300

∴ The cost of 1 kg sugar = = Rs.

There are 369 pages in 3 books. How many pages are
there in 10 such books?
3 books consist 369 pages

∴ 1 book consists = pages

∴ 10 books consist × = pages.

Study the given bill and answer the following questions:

a) Name the shop. Manju Shtee Stationary
b) Where is the shop?
Bhotahiti, Kathmandu
Phone No: 4462183

c) Who made this purchase? Bill No.: 135 Date: .2.0..6.7./..1.2./.3.......

Buyer's name ..S.u.m..a.n..M..a.h..a.r.j.a.n.............................................

Where is he from? Address: .B.a..b.a.r..M..a.h.a..l.......................

S.N. Particular Rate (Rs.) Qty. Amount
d) How many pens did he 1. Pen Rs. 70 2 Rs. 140.00
2. Pencil Rs. 8 5 Rs. 40.00
3. Geo. Box Rs. 135 1 Rs. 135.00
buy?

e) What is the total amount

of the bill? Total Rs. 315.00

Amount in words: .T..h.r.e..e. .h..u.n..d.r.e..d. .f.i.f.t.e.e..n. .r.u..p.e..e.s. .o.n..l.y................

Goods once sold are not returnable. .........................
Signature

200 Prime Mathematics Book − 3

Unit

14

Estimated periods − 12

STATISTICS

Objectives
At the end of this unit, the students will be able to:

• get the comparative information by observing bar graph.
• say the scale of graph.

Teaching Materials
• bar graph
• prepared bar graph of surrounding examples e.g. time, age, class etc.
• thermometer

Activities
It is better to:

• collectorpreparebargraphsandmakethestudentgetthecomparativeinformationby
observing the bar graphs.

• show the bar graph to the students and ask questions about it.
• ask the students about the scale by showing bar graph and thermometer.

Statistics

The bar graph given below shows the marks obtained
by a student in a terminal test.

Marks obtained 100
80
80
70
60
50
40
30
20
10

Maths Nepali English Science EHP

Subjects

i. What is the mark obtained in Maths ?

ii. What is the mark obtained in Nepali ?

iii. What is the mark obtained in English?

iv. What is the mark obtained in Science?

v. What is the mark obtained in EHP ?

vi. Which subject obtained highest mark ?

vii. Which subject obtained lowest mark ?

202 Prime Mathematics Book − 3

The bar graph given below shows the number of students
who passed in grade 2 in different year of a school?

Number of students 80
70
60
50
40
30
20
10

2063 B.S 2064 B.S 2065 B.S 2066 B.S
Years

• In which year, the maximum number of students had passed ?
• What is the number of students who passed in the year 2066 B.S. ?
• In which year, the least number of students had passed ?
• What is the number of students who passed in the year 2063 B.S ?
• What is the number of students who passed in the year 2065 ?

Prime Mathematics Book − 3 203

The price list of the different books of class 3 are given below. Draw a
bar graph and answer the given questions.

Name of books: Nepali English Maths Science Social studies

Price (In Rs.) 275 225 325 300 250

350

300

Price (In Rs.)250
200
150
100

50

0 English Maths Science Social
Subjects studies
Nepali

i) What is the cost of Science book?
ii) Which book's price is maximum?
iii) What is the cost of Social studies book?
iv) Write the name of the book with minimum price.
v) By how much is the Science book cheaper than the English book?

Note:
The width of the bar should be equal.
The distance between two bars should be equal.

204 Prime Mathematics Book − 3

Unit Estimated periods − 12

15

SET

Objectives
At the end of this unit, the students will be able to:

• keep the elements of a set in { }.
• list the elements of a set.

Teaching Materials
• Chart of days of the week
• Chart of months of the year
• Chart of letters of Devanagari

Activities
It is better to:

• ask the students to write 7 days of the week in a set notation { }.
• askthestudentstomakealistofmembersofhis/herfamilyandteachthemtokeep

them in set notation.

Prime Mathematics Book − 3 205

Exercise - 15.1

Learn and do

It is a collection of animals.
It is a set of animals.

belongs to the set.
is a member of the set.
doesn’t belong to the set.
is not a member of the set.

It is a collection of .
It is a set of .

is to the set.
of the set.
is to the set.
of the set.

206 Prime Mathematics Book − 3

It is a collection of .
It is a set of .

is to the set.
of the set.
is to the set.
of the set.

It is a collection of . .
It is a set of
to the set.
is of the set.
to the set.
is of the set.
to the set.
Prime Mathematics Book − 3 207

It is a collection of .
It is a set of .
to the set.
is of the set.
to the set.
is of the set.
∴ Thus, set is a collection of well defined objects.

Member of sets

It is a set of fruits.
• Banana is a member of the set.
• Grapes is a member of the set.
• Apple is a member of the set.
• Pineapple is a member of the set.
∴ A = {Banana, Grapes, Apple, Pineapple}.

We use capital letters A, B, C, ….. to denote the set.
B = the set of days of the week
= {Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday}
C = Set of any four months of English year.

= {January, March, April, November}
Thus, to denote the sets, capital letter of English alphabet are used.
The members are written inside { }.
The members of the set are separated by comma.
Denoting the set, writing the members within { } is called the listing method.

208 Prime Mathematics Book − 3

Exercise - 15.2 }

A.Write the members of the following sets.
A = {Set of any four days of the English week.}

={ , , ,

B = {Set of any four birds}

={ , , , }
{ }X = Set of any four fruits.

={ , , , }
{ }D = Set of any four animals.

={ , , , }

V = {Set of English vowel letters.}

= {........................................}

E = {Set of first six Nepali months in a year.}

= {........................................}

F = {Set of any six zones of Nepal.}

= {........................................}

H = {Set of even numbers less than 15.}

= {........................................}

B. Write ‘T’ for true and ‘F’ for false for the following
statements.

• 4 is a member of the set of odd numbers .
• Apple is a member of the set of vegetables .
• Radish is a member of the set of vegetables .
• Car is a member of the set of vehicles .
• January is a member of the set of the months of English year .

Prime Mathematics Book − 3 209

Number of studentsUnit Revision Test

A. Answer the following questions by observing the
bar graph given below:

120

100

80

60

40

20

0

Grade 1 Grade 2 Grade 3 Grade 4 Grade 5

Grades

i) Which grade has the maximum number of students? What is the number
of students of that grade?

ii) What is the number of students in grade 5?
iii) What is the number of students in grade 1?
iv) Which grade has the least number of students? And what is it?

B. Write ‘T’ for true and ‘F’ for false for the following
statements.

i) Banana is a member of the set of fruits.
ii) Cow is a member of the set of wild animals.
iii) Bus is a member of the set of vehicles.
iv) January is a member of the set of days of a week.

D.Write the members of the following sets.
i) A = {a set of any four vehicles.}
ii) B = {a set of any four English months.}
iii) C = {a set of any four domestic animals.}
iv) D = {a set of any four electronic goods.}

210 Prime Mathematics Book − 3

Unit Estimated periods − 8

16

ALGEBRA

Objectives
At the end of this unit, the students will be able to:

• solvetheproblemsofadditionandsubtractionintheformofboxnotationby
inspection methods or hit and trail method.

• findthevalueofmathematicalstatementbyputtingthenumeralvaluesofthe
symbols.

Teaching Materials
• Algebraic charts, Balance etc.

Activities
• To practice the problems of addition in the form of box notation.
• Todiscusstheproblemsofadditionandsubtractionintheformofboxnotationby

inspection method or hit and trail method.
• To discuss the problems of addition and subtraction of the same letters.
• Toperformactivitiesoffindingthevaluesofmathematicalstatementbyputtingthe

numeral values of the symbols.
• To ask problems as suggested in the curriculum prescribed by CDC.

Study and learn:

6 + ? = 10 What number should you
If we write 1, write in the box to make the
6 + 1 = 7, which is not true.
Similarly, sum 10?

6 + 2 = 8, which is not true.
6 + 3 = 9, which is not true
6 + 4 = 10, which is true.

If we write 4 in So, guessing is very
the box, the sum important in such type of
becomes correct.
problem.

Similarly, 12 − ? = 8

What number should you write in the
box to get the difference 8?

Guess, if we write 1, 2, 3, 4………… then
12 – 1 = 11, which is not true.
12 – 2 = 10, which is not true.
12 – 3 = 9, which is not true.
12 – 4 = 8, which is true.

∴ The required number in the box is 4.

Exercise - 16.1

A. Fill in the boxes by inspection method or hit and
trail method:

8 + = 12 + 16 = 30 − 25 = 22

25 + 14 = 32 + = 37 31 − = 25

9 + = 15 + 18 = 27 − 22 = 10

10 + 7 = − 8 = 7 42 − = 31

27 + = 32 28 − = 18 33 – 21 =

212 Prime Mathematics Book − 3

B. Find the value of the letters by inspection method
or hit and trail method:

x + 3 = 9 x + 9 = 18 x + 12 = 19 9 + x = 27
∴x= ∴x= ∴x= ∴x=

y + 14 = 16 28 + y = 32 y + 4 = 15 y + 20 = 28
∴y= ∴y= ∴y= ∴y=

x − 6 = 14 x − 7 = 4 x − 8 = 14 22 − x = 10
∴x= ∴x= ∴x= ∴x=

y − 3 = 16 17 – y = 4 Z – 9 = 17 36 − z = 12
∴y= ∴y= ∴z=
∴z=

x + 8 = 18 38 − x = 10 y + 2 = 14 12 − y = 3
∴x= ∴y=
∴x= ∴y=

7 + 9 = 14 y − 4 = 11 x + 42 = 46 x − 3 = 12
∴y= ∴x=
∴y= ∴x=

Addition and subtraction of the same letters

C. Study and learn:

(i)

(i) How many pens are there?
(ii) How many balls are there?
(iii) How many pencils are there?
(iv) How many books are there?
(v) How many erasers are there?
(vi) How many sharpener are there?

Prime Mathematics Book − 3 213

(ii) x, y, z, a, b,

a, x, b, z, y, c, a,

(i) x, y, c, a, b
(ii) How many x are there in the box ?
(iii) How many a are there in the box ?
(iv) How many z are there in the box ?
(v) How many c are there in the box ?
(vi) How many d are there in the box ?
(vii) How many y are there in the box ?
How many b are there is the box ?

2 pencils and 3 pencils = 2 pencils + 3 pencils = 5 pencils
2x and 3x
= 2x + 3x = 5x,

∴ Here x denotes pencils

D. Add the following as in above example:

3 pens and 2 pens = pens + pens = pens

3x and 2x = x + x =x

4 mangoes and 3 mangoes = mangoes + mangoes = mangoes

4x and 3x = x + x =x

5 balls and 4 balls = balls + balls = balls

5y and 4y = y + y =y

6 eggs and 7 eggs = eggs + eggs = eggs

6y and 7y = y + y =y

7 apples and 5apples = apples + apples = apples

7a and 5a = a + a =a

214 Prime Mathematics Book − 3

E. Perform the following task:

x + 2x = 2x + 4x = 5x + 4x =

7x + 3x = 4y + 3y = 14y + 6y =

10z + 6z = 5z + 12z = x + 3x + 4x =

2y + 5y + 7y = 2a + 4a + 5a =

10x + 3x + 2x = 4y + 7y + 3y =

9a + 3a + 2a = 4b + 6b + 7b =

3x + 7x + 9x =

F. Study and learn:

Subtract 4 pens from 9 pens = 9 pens – 4 pens = 5 pens
Similarly, subtract 4x from 9x
= 9x − 4x

= 5x, here x denotes pens.

G. Subtract the following as in above example:

2 apples from 7 apples = apples − apples = apples

2x from 7x = x− x =x

4 pencils from 12 pencils = pencils − pencils = pencils

4x from 12x = x − x =x

5 sweets from 9 sweets = sweets − sweets = sweets

5a from 9a = a − a =a

7 bananas from 15 bananas = bananas − bananas = bananas

7z from 15z = z − z =z

6 breads from 18 breads = breads − breads = breads

6y from 18y = y − y =y

Prime Mathematics Book − 3 215

H. Perform the following task:

4 x 8 x 3 x 5 y 12 y 22 z 12 a
+34 z +15 a
+3 x +5 x + 6 x +7 y +30 y
49 y 61 z
7 x −27 y −30 z

7 x 5 x 9 x 14 y 19 y
−3 x −2 x −7 x −6 y −13 y

Study and learn:

If x = 3, y = 2, find the values of x + y and x − y.

x + y x-y

= 3+2 = 3-2

=5 =1

I. Do the following as shown in the above examples.

If x = 2 and y = 5, then x + y = + =
If x = 3 and y = 7, then x + y = + =
If x = 7 and y = 9, then x + y = + =
If a = 12 and b = 5, then a + b = + =
If a = 22 and b = 17, then a − b = + =
If x = 5 and y = 12, then y – x = + =
If x = 17 and y = 11, then x – y = + =
If a = 30 and b = 12, then a – b = + =

Study and learn:
Simplify

(i) 2x + 3x + 4x − 2x (ii) 3a − 2b + 5a + 7b
= 9x − 2x = 3a + 5a + 7b − 2b
= 7x = 8a + 5b

216 Prime Mathematics Book − 3

J. Simplify as in above examples:

2x + 4x + 6x 3x + 5x − 2x 4x + 6x + 7x − 5x 3a − 2a + 7a − 4a
= = = =
= = = =

4y − 5y + 9y − 2y 2a − 3b + 7a + 5b 8x + 7y − 2x + 3y 4a + 9b − 2a − 3b
= = = =
= = = =

Study and learn:

If a = 2, b = 5 and c = 6, find the value of:
(i) 2a + 3b (ii) 5a − 2b + 3c

Solution: (ii) 5a − 2b + 3c
(i) 2a + 3b = 5 × 2 − 2 × 5 + 3 × 6
= 2 × 2 + 3 × 5 = 10 − 10 + 18
= 4 + 15 = 28 − 10
= 19 = 18
K. Do the following:

If a = 2, b = 4, c = 6, x = 3 and y = 5, find the value of the following as
in the above examples:

(i) a + 3b − c (ii) 2a − 3b + 5c + x (iii) a + b − x + y

(iv) 3a + 2b − 2c + y (v) 3a − 4b + 2c + x (vi) a + b + 2c − y

Prime Mathematics Book − 3 217

(vii) 4a − 2a + 5b − x (viii) 4a − x + 2y (ix) 5a − 2b + 3c − x

(x) 4x + 5y − 3a − c (xi) 2a − 3x + 5y + 2c (xii) 2b + 3a − 4c + 5x

Unit Revision Test

A. Fill in the boxes by inspection method or hit and
trail method.

9 + 6 = + 12 = 25 15 − = 9

8 + = 19 12 – 8 = − 4 = 15

B. Find the value of the letters by inspection method

or hit and trail method:
x + 5 = 9 a + 21 = 43 15 − x = 8
∴x= ∴a= ∴x=

y + 15 = 32 x − 5 = 7 28 − a = 15
∴y= ∴x= ∴a=

C. Perform the following task: 58 z 56 x
−32 z +25 x
5 x 8 x 7 x 12 y
+3 x +4 x −2 x −8 y

D. Perform the following task :

2x + 5x = 10y + 6y = 2a + 3a + 5a =
38a − 28a =
6x − 2x = 19y − 7y =

218 Prime Mathematics Book − 3

E. Perform the following task:

If x = 2 and y = 5, then x + y = + =
=
If a = 5 and b = 3, then a − b = + =

If x = 12 and y = 19, then y − x = +

Simplify

2a + 3a + 7a 4x + 9x − 2x 4y − 3y + 5y – 2y

5x − 2x + 7y − 3y 4a + 15b + 7a − 3b 3p − 2q − 2p + 7q

F. Perform the following task :

If x = 7, y = 3, a = 5 and b = 4, find the values of:

4x − 3y + 2a 2y + 3b − a x + y − 2a + b

2x + 3y − 2a + 3b 5x − 2y + 3a − 5b 7a + 4b − 5x + 6y

Prime Mathematics Book − 3 219

Play the following puzzle games.

9

49

24

27
2 −6 16 −14

2 − 1 + 2
3 3 3

+ 1 + 4 − 1
3 3 3

+ 2 −1
3

220 Prime Mathematics Book − 3

Model Question

Class: 3 Full Mark: 100
Subject Maths Pass Mark: 40

Name : …………....................................….......... Roll No. : ….. Sec.:……

Group -A

1. Choose the correct answer. 11×1=11

a. A Cuboid has ………….. vertices.

i) 4 ii) 5 iii) 6

b. ………….. has no edge.

i) Sphere ii) cube iii) cuboid

c. The place value of circled digits of 12 9 8 is………

i) 9 ii) 90 iii) 900

d. Short form of 3000 + 200 + 40 + 5 is ………..

i) 30245 ii) 3245 iii)32045

e. Roman numeral of 40 is ……………..

i) LX ii) CX iii) XL

f. 2 minutes is equal to…………. seconds.

i) 30 ii) 60 iii) 120

g. Fraction of shaded part of given figure is ……...

i) 2 ii) 3 iii) 5
8 8 8

h. Like term of 2x is ……….

i) 3x ii) 4y iii) 2a

i. If x = 2 then the value of 3x is ……….

i) 3 ii) 5 iii) 6

j. 700 paisa is equal to Rs. ……….

i) 7 ii) 70 iii) 700

k. the product of 30×20 is …………..

i) 60 ii) 600 iii) 6000

Prime Mathematics Book − 3 221

Q 2) Match the Following 5x1 =5
a) The curve line 0.03
b) Zero point zero three
c) 4 week A.M.
d) cone 28 days
e) The time mid night to mid day
18x2=36
Group B

Q3) Join the given points, measure and write the length
A. .B
AB = ....................................... cm

Q. 4 Arrange the following in ascending order (smallest to largest)
84354, 84915, 84915, 84959
............................., ............................., ............................., .............................,

Q. 5 Draw the angle AOB

Q. 6. Compare and put the signs >, <, or = b) 26485 ......... 26485
a) 9872 ............ 7865

Q. 7 Write the number name

8369:- ..........................................................................................................................

222 Prime Mathematics Book − 3

Q. 8 Write the number in expanded forms

3205:. ............................................................................................................................
Q. 9 What is the smallest natural number and even number ?

a) The smallest natural number is ..............................,
b) The smallest even number is .............................,

Q. 10. Round off 285 to nearest hundred.

285 = ........................................................................................

Q. 11. Write in Hindu-Arabic numerals.

i) XIX = ............................... ii) XCV = .............................

Q.12. lbOPsf] ;V+ ofnfO{ cIf/df nv] .

^*($ M =============================================================================================

Q. 13. Simplify : 6-8+4
= ..............
= ..............
= ..............

Q.14. Count and write the area of given figure.

Area = Sq. unit.

Q. 15. Subtract. 2 from 65
6

= .........................

= .......................

= ..........................

Prime Mathematics Book − 3 223

Q. 16. The cost of 1 pen is Rs. 42. What is the cost of 3 such pens.

The cost of 1 pen = Rs. 42

:. The cost of 3 pen = x = Rs.

Q. 17. Write the member of the given set.

E = { set of even number less than 15}

= { ................................................}

Q.18. Add :- x + x+ x

= ....................

Q. 19. If a = 2, b=3, what is the value of 3ab

3ab

= ..........................

= ..........................
Q. 20. Draw the minute and hours hands to show the given time

a. 11 12 1

10 2
93
84

765

9:30

Group -C 12x4 = 48
Q.21. Write the name, sides, vertices, and angle of given figure.

Name :- .......................... P
Sides :- ............., ............. and..............

Vertices :- ............., ............. and.............. QR
angles :- ............., ............. and..............

224 Prime Mathematics Book − 3

Q.22. Find the perimeter of given figure A 8cm B
4cm 6cm 5cm
perimeter of given figure D
(P) = ............ + ............ + .............+ ......... C

= ...............
= .................... cm.

Q.23. A box contains 1265 marbles and another box contains 3849 marbles.
How many marbles are there altogether.

+

: There are altogether marbles.

Q. 24. Multiply :-

973
x 54

Q. 25. Divide :- 234 by 18
18 ) 234 (

Q. 26. Simplify : Quotient : .............
Remainder : .....................
Prime Mathematics Book − 3 225
60÷12+5x3-4
= ............................
= ..........................
= ...........................
= ..........................

Q.27. Convert 3 rupees 15 paisa into paisa.

3 rupees 15 paisa
= .............................
= .............................

Q. 28. Subtract 49m 28cm from 120m 85cm.
m cm

....... .......

- ....... .......

Q.29. Find the volume of the cuboid where length
(L) = 6cm, breadth (b) = 5cm and height (h) = 3cm

Volume of the cuboid (V) = ..................
= ..................
= ..................

Q. 30. Write the following fraction in words.
2
5 = Two fifth

2 = ............................, 3 = ..........................
3 10

226 Prime Mathematics Book − 3

Q.31. Add :- 2x + 3x + 7
= .............................
= ............................
= ............................

Q. 32. Convert 3 hours 10 minutes into minutes.

3 hours 10 minutes
= .........................
= ........................
= .......................

‘The End’

Practice Question

1) Add and Subtract the following.

a) 8678 b) 7890 c) 8032 d) 6402
4356 3265 -643 -1465
+643 +4562

2) Write the number names.
a) 8, 88, 888 = ... b) 79, 100 = ... c) 2, 34, 678 = ... d) 5, 22, 105 = ...

3) Multiply. d) 647 c) 536 d) 456
c) 704

x65 x48 -25 x89

4) Write the greatest numbers and smallest number of the following digits.
Greatest Number Smallest Number

0, 1, 3, 2, 6, 7, 5 ______ ______
4, 3, 2, 6, 7, 8, 9 ______ ______
5, 6, 7, 9, 4, 6 ______ ______
9, 6, 8, 3, 5, 7 ______ ______

Prime Mathematics Book − 3 227

5) Divide d) 6 ) 567 (
a) 9 ) 729 ( b) 4 ) 24351 ( c) 7 ) 63217 (

6) Write the place value and face value of underlined digits.
Place Value Face Value
8 8 5 4 _____ _____
4 5 6 7 _____ _____
7 6 5 0 _____ _____
8 2 4 5 _____ _____

7) Simplify.
a) 24 X 5 + 58 – 72 b) 270 – 30 X 6 + 12 X 5 c) 18 ÷ 3 – 2 + 4 X 2 =

8) Draw the hour and minute hands of the following clock as the given time.

a. 11 12 1 b. 11 12 1 c. 11 12 1 d. 11 12 1
10 2 10 2 10 2 10 2

9 39 3 93 93

84 84 84 84
765
765 765 765
9:00
7:15 5:30 6:45

9) Write the numerals.
Five thousand and one hundred
Ninety eight thousand four hundred and ten
One lakh two thousand three hundred thirty
Three lakh forty five thousand two hundred nineteen

10) Solve the problem.
a) 5/9 + 3/9 + 1/9 b) 6/20+5/20+3/20 c) 8/10–3/10

11) Convert the following.
a) 4 cm into mm b) 90 days into months c) 10 rupees into paisa
d) 3 m 4 cm into centimeter

12) Solve the following problems.
a) There are 5342 and 4697 women in a village. How many people are there
altogether ?
b) There are _______ people altogether.
There are 5425 lemons in a box. 3547 were rotten. How many lemons were
good ?
c) ______ lemons were good.
13. Study the diagram and fill in the blanks. [ 4 ]
i. Name the diagram: …………………………………… ………………. 6cm P
ii. Name of sides: ………………….., …………….., 4cm

iii. Perimeter = …………………………………………… Q 8cm R

228 Prime Mathematics Book − 3 The End

Prime Mathematics Series

Prime Mathematics - 1
Prime Mathematics - 2
Prime Mathematics - 3
Prime Mathematics - 4
Prime Mathematics - 5
Prime Mathematics - 6
Prime Mathematics - 7
Prime Mathematics - 8
Prime Mathematics - 9
Prime Mathematics - 10

ISBN 993702221-5

9 789937 022217

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