Oasis Math 3

Unit Evaluation Full Marks : 20
2
1. Convert the following into Paisa.
6 Rupees 35 Paisa = Paisa 2

12 Rupees 15 Paisa = Paisa

2. Convert into Rs and Paisa.

235 Paisa 1845 Paisa

3. Add: Rs 15 80 Paisa 4
Rs 24 35 Paisa + Rs 60 70 Paisa 4
+ Rs 18 60 Paisa
Rs 62 90 Paisa
4. Subtract: – Rs 18 65 Paisa
Rs 95 80 Paisa
– Rs 35 40 Paisa

5. Select the notes to by the given articles. 4

Rs. 50 Rs. 20 Rs. 5 Rs. 10

Rs. 55

Rs.115 Rs. 100 Rs. 50 Rs. 10 Rs. 5

Oasis School Mathematics Book-3 201

Rs.170 Rs. 100 Rs. 50 Rs. 20 Rs. 10

Rs. 500 Rs. 100 Rs. 50 Rs. 10

Rs.650

7. The price of a pen is Rs 60 and the price of a copy is Rs 35. Find

the total price of a pen and a copy. A boy has Rs. 150 and bought

a pen and a copy, how much money left with him? 2

He has Rs.

8. Bodhi has Rs 250 and 60 Paisa. He buys a doll costing Rs 120 and 30

Paisa. How much money is left with him? 2

Rs left with him

202 Oasis School Mathematics Book-3

Capacity

Look and learn.

Let's compare the capacity of a cup and a bucket.

A container having A container having
smaller capacity greater capacity

A bucket can hold more liquid than a cup. Hence, the capacity of a bucket
is more than a cup.

Measurement of capacity

Pasa takes milk from the Rema bathes with full
bottle. bucket of water.

Milk in the bottle is measured in millilitre (ml)
Water in the bucket is measured in litre (l).
Millilitre (ml) is used to measure the small quantity of liquid.
Litre (l) is used to measure the large quantity of liquid.

Millilitre (ml)

about 1 ml about 500 ml about 200 ml

Oasis School Mathematics Book-3 203

Litre (l)

about 1 litre about 20 litre about 2 litre

Identify whether these quantities are large or small. Decide whether
you use litre (l) or millilitre (ml) to measure.

ml l ml l

ml l ml l

ml l

Colour the objects that can hold more than a litre in blue and those that
hold less than a litre in green.

204 Oasis School Mathematics Book-3

Estimation of Capacity

Capacity of a mug is about 1 litre.

Capacity of a bottle is about 1 litre.

Capacity of a bucket is about 20 litre.

Capacity of a packet of milk is about
500 ml.

Capacity of a spoon is about 5 ml.
With the help of above reference, estimate the capacity of the following vessels.
Estimate the capacity of the given objects and match the likely
measurement.

5l
10 l

20 l

10 ml

Oasis School Mathematics Book-3 205

Conversion of Capacity

Look and learn.

Conversion of litres (l) into millilitres (ml)

1 litre = 1000 ml Multiply litres by

1 litre = 1000 ml 1000 and add ml.

2 litres = 2 × 1000 ml = 2000 ml

5 litres = × ml = ml

6 litres = × ml = ml

7 litres = × ml = ml

8 litres = × ml = ml

Again,

5 litres 250 ml = 5 × 1000 ml + 250 ml

= 5000 ml + 250 ml

Convert as above: = 5250 ml

6 litres 500 ml ml 8 litres 300 ml ml
= × ml + = × ml +
= ml + ml = ml + ml
= ml = ml

12 litres 200 ml ml 18 litres 400 ml ml
= × ml + = × ml +
= ml + ml = ml + ml
= ml = ml

Convert into ml. Its simple ! I just have to
remove l from the middle.

5 l 350 ml = .5..3..5..0.... ml 2 l 450 ml = ........... ml

8 l 100 ml = ........... ml 12 l 300 ml = ........... ml

18 l 100 ml = ........... ml 2 l 50 ml = ........... ml

206 Oasis School Mathematics Book-3

Conversion of millilitres (ml) into litres (l) and millilitres (ml)

3560 ml = 3000 ml + 560 ml Break 3560 ml = 3000 ml + 560 ml
= 3 l + 560 ml 3000 ml = 3l
= 3 l 560 ml

Convert as above:

4520 ml = ml + ml 5650 ml = ml + ml

= l + ml = l + ml

= l ml = l ml

8440 ml = ml + ml 7500 ml = ml + ml

= l + ml = l + ml

= l ml = l ml

Convert into litre and ml. The last three digits
1500 ml =........... l ........... ml represent ml. The
1580 ml =........... l ........... ml remaining digit
3200 ml =........... l ........... ml represent litres (l).
4500 ml =........... l ........... ml
2400 ml =........... l ........... ml
1840 ml =........... l ........... ml
2680 ml =........... l ........... ml
4610 ml =........... l ........... ml

Convert the following into ml in your copy:

a. 8 l b. 9 l c. 12 l 150 ml

d. 20 l 600 ml e. 25 l 600 ml f. 15 l 800 ml

g. 50 l 450 ml h. 45 l 200 ml i. 5 l 400 ml

Convert the following millilitres (ml) into litres (l) and millilitres (ml)

a. 3500 ml b. 2460 ml c. 1600 ml d. 7640 ml

e. 4820 ml f. 6250 ml g. 7200 ml h. 2600 ml

Oasis School Mathematics Book-3 207

Addition and Subtraction of Capacity

Addition of capacity

Look and learn.

24 l 300 ml Add litre (l) and millilitre (ml) separately.
+ 13 l 650 ml
38 l 950 ml If ml is more than 1000, convert it into litres
(l) and millilitres (ml).

Add: 25 l 100 ml 50 l 350 ml
+ 13 l 250 ml + 40 l 400 ml
250 l 300 ml
+ 120 l 250 ml

35 l 350 ml 40 l 200 ml 340 l 550 ml
+ 26 l 320 ml + 30 l 750 ml + 120 l 240 ml

Subtraction of capacity Subtract litres (l) and millilitres (ml) separately.

Look and learn.
Subtract:

540 l 600 ml
- 320 l 240 ml
220 l 360 ml
Subtract:

15 l 450 ml 40 l 225 ml 38 l 640 ml
- 6 l 220 ml - 12 l 108 ml - 18 l 322 ml

510 l 408 ml 620 l 346 ml 482 l 305 ml
- 350 l 252 ml - 248 l 257 ml - 218 l 162 ml

208 Oasis School Mathematics Book-3

From the list of given objects on the surrounding, select
the object of suitable capacity.

Spoon Pressure cooker Water tank

Water bottle Tea cup Gallon
Capacity
200 ml Name of objects
10 ml
5l
10 l
1l

1000 l

Oasis School Mathematics Book-3 209

Use of Addition and Subtraction of Capacity in our daily Life

From a bottle of 5l, Sangita drank 2l 5l
of water. – 2l
How much water is left on the bottle?
3l
3 litres water is left on the bottle.

A cow gives 5 litres of milk in a day
and a buffalo gives 12 litres of milk.
How much milk is given by them
altogether.

There are two water tank in a house.
Capacity of tank is 1000 litre and the
capacity of another tank is 500 litre.
What is the total capacity of two tanks.

A water tank contains 800 l of water.
A household uses 350 l of water. Find
how much water is left in the tank?

A baby drank 350 ml of milk in the
morning and 550 ml of milk in the
evening. Find how much milk he drank
in day?

210 Oasis School Mathematics Book-3

A shopkeeper sold 15 l 450 ml Soyabean
oil and 18 l 750 ml of sunflower oil. How
much oil did he sell altogether?

A bucket contains 15 l 320 ml of water
and another bucket contains 18 l 710 ml
of water. How much water is there in two
buckets?

A man mixed 15 l 560 ml of milk with 18 l
640 ml of water. What is the total quantity
of the mixture?

A tank contains 500 l 450 ml of water. 260
l 250 ml water is used. How much water
is left in the tank?

A tank contained 550 l 650 ml of petrol.
260 l 250 ml of petrol is leaked. How much
petrol is left in the tank?

Oasis School Mathematics Book-3 211

Objective Questions

1. Capacity of a tea cup is about

200 ml 10 ml 50 ml
20 l
2. Capacity of a bucket is about
2l 1l

3 . Estimate the capacity of a spoon.

100 ml 50 ml 5 ml

4. 1 litre is equal to 1000 ml 10 ml
100 ml

5. 4 litres 130 millilitres is equal to

4130 ml 413 ml 41300 ml

6. 2430 ml is equal to 2 l 430 ml 2 l 43 ml
24 l 30 ml

7. The sum of 5 l 350 ml and 10 litre 650 ml is equal to

15 litres 17 litres 16 litres

8. A man mixes 16 litre of milk of cow with 12 litre milk of buffalo
and sold 10 litre of milk. How much milk left with him?

17 litre 7 litre 27 litre

9. Capacity of a Bucket is 20 litre 350 ml. From the full bucket of

water, 5 litre 250 litre water is them. How much water is left on the

bucket?

15 l 600 ml 15 l 100 ml 15

212 Oasis School Mathematics Book-3

Unit Evaluation Full marks: 15

1. Fill in the blanks 2

2. Convert the following 2
12150 ml into litre and ml
12150 ml 8450 ml into litre and ml
8450 ml

3. Convert the following 2
8 l 650 ml into ml
4 l 540 ml into ml

4. Add or subtract: 634 l 350 ml 6
+ 310 l 360 ml
12 l 650 ml 550 l 250 ml
+ 18 l 260 ml – 210 l 160 ml

5. a. A water tank contains 584 l 468 ml of 3
water and another tank contains 640 l 232
ml of water. What is the total quantity of
water in both the tanks?

\ The total quantity of water in both the

tanks is .

Oasis School Mathematics Book-3 213

Length mm
Conversion of Length mm
mm
Conversion of cm into mm. mm

As we have already discussed,
1 cm = 10 mm
then 2 cm = 2 × 10 mm = 20 mm
3 cm = 3 × 10 mm = 30 mm.
Convert as above:

4 cm = 4 × mm =

5 cm = 5 × mm =

6 cm = 6 × mm =

7 cm = 7 × mm =

Conversion of mm in cm and mm.

12 mm = 10 mm + 2 mm = 1 cm 2 mm
cm 6 mm
16 mm = 10 mm + 6 mm = 1 cm 5 mm
cm mm
25 mm = 20 mm + 5 mm = 2 cm mm
cm mm
23 mm = mm + mm = cm mm

18 mm = mm + mm =

21 mm = mm + mm =

32 mm = mm + mm =

214 Oasis School Mathematics Book-3

Conversion of units of Length

Look and learn.

Conversion of metre into centimetre

5 m 40 cm = 5 × 100 cm + 40 cm Multiply metre by 100 and
= 500 cm + 40 cm add centimetre.
= 540 cm.

Convert metres into centimetres as shown:

2 m = 2 × 100 cm = 200 cm To convert metre into centimetre,
3 m = × cm = cm multiply metre by 100.

4 m = × cm = cm

5 m = × cm = cm

6 m = × cm = cm

7 m = × cm = cm

Convert as above:

6 m 30 cm = cm 15 m 20 cm =
= = cm
= =

8 m 90 cm = cm 18 m 15 cm =
= = cm
= =

Convert into cm.

6 m 10 cm = ..6..1..0......... cm 17 m 30 cm = ............... cm
11 m 15 cm = ............... cm 9 m 25 cm = ............... cm
14 m 30 cm = ............... cm 12 m 10 cm = ............... cm
8 m 12 cm = ............... cm 25 m 8 cm = ............... cm
15 m 20 cm = ............... cm 30 m 40 cm = ............... cm

Oasis School Mathematics Book-3 215

Conversion of centimetre (cm) into metre (m) and centimetre (cm):

Convert 1520 cm into m and cm.

1520 cm = 1500 cm + 20 cm 100 cm = 1 m
1500 cm = 15 m
= 15 m + 20 cm
1050 cm
= 15m 20 cm

Convert as above:

2465 cm

2500 cm 1360 cm

Convert into m and cm 1540 cm

1250 cm = 12 m 50 cm 15 m 40 cm
1325 cm = ........m ........ cm
840 cm = ........ m ........ cm My logic ! Last two
1680 cm = ........ m ........ cm digits represent cm and
1830 cm = ........ m ........ cm remaining represent m.
1525 cm = ........ m ........ cm
1810 cm = ........ m ........ cm
2140 cm = ........ m ........ cm
2508 cm = ........ m ........ cm

216 Oasis School Mathematics Book-3

Conversion of kilometres (km) into metres (m)

3 km 540 m 1 km = 1000 m
= 3 × 1000 m + 540 m
Multiply km by 1000
= 3000 m + 540 m and add metre.

= 3540 m

Convert as shown:
2 km = 2 × 1000 m = 2000 m

3 km = × m = m To convert km into
metre, multiply km by

4 km = × m = m 1000.

5 km = × m = m

Convert as above:

1 km 765 m 5 km 350 m

7 km 850 m 12 km 650 m

Convert into metres: 12 km 480 m = ............... m
17 km 300 m = ............... m
2 km 240 m = 2240 m 25 km 440 m = ............... m
3 km 215 m = ............... m 18 km 200 m = ............... m
5 km 750 m = ............... m 12 km 120 m = ............... m
15 km 480 m = ............... m
18 km 210 m = ............... m Oasis School Mathematics Book-3 217

Conversion of metres (m) into kilometres (km) and metres (m):

3450 m = 3000 m + 450 m

= 3 km + 450 m
= 3 km 450m

Convert as above:

2250 m = m + m 4200 m = m + m

= km + m = km + m

= km m = km m

2500 m = m + m 5540 m = m + m

= km + m = km + m

= km m = km m

3040 m = m + m 4530 m = m + m

= km + m = km + m

= km m = km m

Convert into km and m The last three digits represent m, the
remaining digits represent km.
1345 m = ........ km ........ m
2510 m = ........ km ........ m
3300 m = ........ km ........ m
2750 m = ........ km ........ m
3105 m = ........ km ........ m
1106 m = ........ km ........ m
3208 m = ........ km ........ m
3840 m = ........ km ........ m
1253 m = ........ km ........ m
4350 m = ........ km ........ m

218 Oasis School Mathematics Book-3

Worksheet

8 km 240 m 2 km 150 m Himanshu's house

3 km 550 m

5 km 600 m

Fruit shop

650 m 1 km 200 mSudha's house School
4 km 520 m

3 km

Bus stop

How far is Sudha's house from the school ?

How far is Himanshu's house from the school?

Whose house is nearer from the fruit shop?

How far is the bus station from Himanshu's
house via Sudha's house?

By how much is Himanshu's house nearer
from the school than Sudha's house?

Oasis School Mathematics Book-3 219

Objective Questions

Choose the correct alternative.
1. Which unit is appropriate to measure the length of your pencil?

km cm m

2. Which unit is appropriate to measure the length of your classroom?

cm m km

3. Which of the following relation is true?

1m = 100 cm 1m = 10 cm 1 m = 1000cm
1 km = 1000m
4. Which of the following relation is true?
1042 cm
1 km = 10 m 1 km = 100m 150m 6 cm

5. 14 m 20 cm is equal to

1402 cm 1420 cm

6. 1506 cm is equal to

15 m 6 cm 15 m 60 m

7. 3 km 220 m is equal to 322m 3200m
3220 m

8. The sum of 4m 35cm and 6 m 65 cm is equal to

10 m 10m 90 cm 11m
73 km
9. The sum of 60 km 450m and 12km 550 m is 10m

72km 950m 73 km 100m

10. Difference of 16m 60cm and 6m 40 cm is

10m 20 cm 10 m 10 cm

220 Oasis School Mathematics Book-3

Unit Evaluation Full Marks : 15
2
1. Fill in the blanks:
1 m = ............... cm 3
1 km = ............... m
12 m 55 cm
2. Convert into cm:

5 m 35 cm

3. Convert into metre: 4
1 km 350 m
8325m

4. Convert 2325m into km and m. Convert 1562 minto km and m. 2

5. Distance from Mahargunj 2
Chakrapath to Chabahil is
3650m. Convert this distance Oasis School Mathematics Book-3 221
into km and m.

Weight
Measurement of Weight

Look and learn.

The units for measuring objects are given below.

The weight of an object is measured by a spring balance or a pan balance, etc.

The weight of lighter objects The short form of kilogram = kg
is measured in gram (gm) and The short form of gram = gm
the weight of heavier objects is Kg and gm are the units of weight.
measured in kilogram (kg). 1 kg = 1000 gm

Circle the weight units that we need to weigh the following objects:

5 kg 350 gm

222 Oasis School Mathematics Book-3

Estimation of Weight

Estimate the weight of the following objects and match the objects
with their likely weight:

50 kg 1 kg
100 kg 25 kg
3 kg 500 gm

1 kg 3 kg
25 kg 5 kg
50 kg 200 gm

100 gm 1 kg
5 kg 10 kg
1 kg 20 kg

1 kg 3 kg
5 kg 5 kg
50 kg 200 gm

Oasis School Mathematics Book-3 223

Conversion of units of Weight

Conversion of kilogram (kg) into gram (gm)

1 kg = 1000 gm
2 kg = 2 × 1000 gm = 2000 gm

Complete the following:

3 kg = 3 × gm = gm

6 kg = 6 × gm = gm

7 kg = 7 × gm = gm

Conversion of kilograms (kg) and grams into grams (gm)

Look and learn.

2 kg 300 gram = 2 × 1000 gm + 300 gm 1 kg = 1000 gm
= 2000 gm + 300 gm
= 2300 gm Multiply kg by 1000
and add gm.

Convert the following into grams (gm):

3 kg 250 gm 4 kg 300 gm
= × gm +
= × gm + gm = gm + gm gm
= gm
= gm + gm

= gm

5 kg 350 gm gm 8 kg 640 gm gm
= × gm + = × gm +
= gm + gm = gm + gm
= gm = gm

224 Oasis School Mathematics Book-3

Convert the following into gm. 8 kg 120 gm = ...........gm
13 kg 90 gm = ...........gm
2 kg 300g m = 2300 gm 16 kg 650 gm = ...........gm
5 kg 350 gm = ...........gm 18 kg 50 gm = ...........gm
12 kg 150 gm = ...........gm
15 kg 200 gm = ...........gm

Conversion of grams (gm) into kilograms (kg) and grams (gm)

1 kg = 1000 gm

1540 gm = 1000 gm + 540 gm The last three digits represent
= 1 kg + 540 gm gm and the remaining digit
= 1 kg 540 gm
represents kg.

Convert the following in to kg and gm.

1500 gm = ........kg ........gm 4350 gm = ........ kg ........ gm

2350 gm = ........ kg ........ gm 5280 gm = ........ kg ........ gm

1230 gm = ........ kg ........ gm 6390 gm = ........ kg ........ gm
1580 gm = ........ kg ........ gm 5200 gm = ........ kg ........ gm

Convert the following into grams (gm) in your copy:

a. 5 kg 550 gm b. 17 kg 840 gm c. 25 kg 320 gm

d. 20 kg 720 gm e. 8 kg 540 gm f. 13 kg 630 gm

g. 15 kg 480 gm h. 25 kg 60 kg i. 10kg 240gm

Convert the following into kilograms (kg) and grams (gm) in your copy:

a. 1540 gm b. 2230 gm c. 3580 gm d. 5340 gm

e. 2250 gm f. 11340 gm g. 24820 gm h. 14300 gm

Oasis School Mathematics Book-3 225

Addition and Subtraction of Weight

Look and learn.

Add: 480 gm Add grams (gm) and kilograms
820 gm (kg) separately.
15 kg 1300 gm
+ 24 kg 1 kg 300 gm If gram is more than 1000, convert
39 kg 300 gm into kg and gm.
= 39 kg
40 kg

Add: 34 kg 380 gm 58 kg 280 gm
23 kg 620 gm + 17 kg 450 gm + 17 kg 510 gm

+ 18 kg 200 gm

35 kg 740 gm 315 kg 610 gm 72 kg 840 gm
+ 22 kg 610 gm + 425 kg 815 gm + 76 kg 380 gm
= = =
= = =

Subtraction of Weight

85 kg 540 gm Subtract kilogram (kg) and gram
(gm) separately.
- 32 kg 320 gm
92 kg 650 gm 510 kg 750 gm
53 kg 120 gm - 68 kg 360 gm - 350 kg 640 gm

Subtract:
85 kg 480 gm
- 68 kg 350 gm

226 Oasis School Mathematics Book-3

Addition and Subtraction of Weight in our daily Life

Look and learn.

A man bought 35 kg 680 gm of potatoes 35 kg 680 gm
and 12 kg 545 gm cauliflower. What + 12 kg 545 gm
is the total weight of potatoes and 47 kg 1225 gm
cauliflower? = 47 kg 1 kg 225 gm
= 48 kg 225 gm
\ Total weight is 48 kg 225 gm.

A shopkeeper had 82 kg 456 gm of 82 kg 456 gm
rice. He sold 35 kg 324 gm of rice. - 35 kg 324 gm
How much rice does he have now? 47 kg 132 gm

\ 47 kg 132 gm rice is left with him.

Solve the following word problems in your copy:

1. The weight of a packet of Mansuli rice is 25 kg 550 gm and the weight
of a packet of Pokhareli rice is 30 kg 655 gm. Find the total weight of
the rice.

2. A fruit seller sold 15 kg 450 gm of apples and 35 kg 500 gm of oranges.
Find the total weight of the fruits he sold.

3. A shopkeeper mixed 20 kg 350 gm of rice with 35 kg 855 gm of another
type of rice. What is the total weight of the mixture?

4. A fruitseller had 138 kg 450 gm oranges. He sold 86 kg 325 gm of
oranges. How many kgs of oranges does he have now?

5. The weight of Sabnam is 43 kg 380 gm and the weight of Sajana is 37 kg
253 gm. By how much is Sabnam’s weight more than Sajana’s weight?

6. The weight of a packet of rice is 73 kg 825 gm and the weight of another
packet is 45 kg 546 gm. Find the difference between their weights.

Oasis School Mathematics Book-3 227

Objective Questions

Choose the correct alternatives:
1. Estimate the weight of an orange

200 gm 2 kg 5 kg
1000 gm
2. 1 kg is equal to 100 gm 5400 gm
10 gm 20 kg

3. 5 kg, 400gm is equal to 5040 gm
540 gm

4. 2000 gm is equal to 1 kg
2 kg

5. The weight of 1 packet of sugar is

2 kg 1 kg 3 kg
6. 3400 gm is equal to

3 kg 400 gm 34 kg 3kg 40 gm

7. The sum of the weight of 5 kg 200 gm and 8 kg 300 gm is equal to

13 kg 100 gm 13 kg 200 gm 13kg 500 gm

228 Oasis School Mathematics Book-3

Unit Evaluation Full Marks : 20

1. Fill in the blanks. 3
1 kg = ........... gm
3 kg = ........... gm

5 kg = ........... gm

2. Circle the weight units that we need to weigh the following objects. 3

50 gm 100 gm 200 gm 500 gm 1 kg 2 kg

1kg 600gm

50 gm 100 gm 200 gm 500 gm 1 kg 2 kg

750 gm

50 gm 100 gm 200 gm 500 gm 1 kg 2 kg

2200 gm 4
3. Convert into gm.

5 kg 400 gm = ........... gm
4 kg 350 gm = ........... gm
8 kg 850 gm = ........... gm
15 kg 400 gm = ........... gm

Oasis School Mathematics Book-3 229

4. Convert into kg and gm. 4
1800 gm = .......... kg .......... gm
2200 gm = .......... kg .......... gm
2500 gm = .......... kg .......... gm
3350 gm = .......... kg .......... gm

5. Add: 2×1=2
5 kg 650 gm 16 kg 850 gm
+ 15 kg 200 gm + 22 kg 450 gm

6. Subtract: 2×1=2

25 kg 350 gm 18 kg 600 gm
– 12 kg 100 gm – 12 kg 400 gm

7. A shopkeeper had 150 kg 500 gm of 2
rice. He sold 124 kg 800 gm. How much
rice is left with him?

kg gm rice left with him.

230 Oasis School Mathematics Book-3

Pictograph

Look and learn.

Given table shows the number of students in different classes in the
academic session 2077 B.S. in Sahid Dasharath Basic School, Baitadi.

Class 1 2345 6 7 8

Number of 30 40 70 50 60 80 60 40
students

Lets represent 10 students by Number of students
Class

1

2

3

4

5

6

7

8

Oasis School Mathematics Book-3 231

Given table shows the favourite games of class III students of
Sagarmatha School Solukhumbhu.

Games Volleyball Football Cricket Badminton Tennis Basketball
15 20 10 15 20 30
No. of
students

If represent 5 students, show the above information in Pictograph.

Class Number of students

Volleyball

Football

Cricket

Badminton

Tennis

Basketball

232 Oasis School Mathematics Book-3

Given table shows the number of household of Ajirkot Ruler
Municipality in different wards.

Wards 1 23 4 5
50 90 80 70 60
No. of
students

If represents 10 houses. Show the above information in Pictograph.

Wards Number of household

1

2

3

4

5

Given Pictograph shows the number of domestic animals in different

household of a community. If represents 5 domestic animals.

Then complete the given table below.

Wards Number of household

Ram's home

Saleem's home

Pema's home

Thamsuhang
home

Household Ram's home Saleem's Pema's Thamsuhang's
home home home
No. of
students

Oasis School Mathematics Book-3 233

From the given informations in Pictograph, complete the given table.

Given Pictograph shows the number of different flowers available in
the garden of a school.

Flower Number

Rose

Merigold

Hibiscus

Lily

Lotus

Sunflower

1 picture = 5 flowers.

Flowers Rose Merigold Hibiscus Lily Lotus
Number

234 Oasis School Mathematics Book-3

Objective Questions

The Pictograph shows the number of books available in the School
Library.

Books Number of books

Nobel

Poetry

Story books

Biography
Drama

Given that = 15 books.

1. The number of Nobel in the library is
15 45 30

2. The number of poetry books in the School Library is
30 15 45

3. How many more Biography books are there than poetry?
15 5 30

4. Which variety of books are lowest in number?

Nobel Drama Poetry

Oasis School Mathematics Book-3 235

Unit Evaluation Full Marks : 14

1. The given Pictograph presents information of the marks obtained

by 5 students of class III in Mathematics. Observe the Pictograph

and answer the given questions: Given that //// = 5 marks. 8

Name of students Marks

Yashmi

Yashraj

Riya

Rewa

Ankit

a. How much did Yashmi score? – =
b. How much did Yashraj score?
c. What is the score of Ankit?
d. What is the score of Rewa?
e. What is the difference of score of
Rewa and Riya?

f. Who got the highest marks?

g. Who got the lowest marks?

h. What is the difference between the highest

and the lowest marks? – =

236 Oasis School Mathematics Book-3

2. Given table shows the number of Toys in the house of 5 different
friend.

Name Merry Natasha Phurba Juneli Karma Santosh
15 25 30 40 20 35
Number of
Toys

Assuming = 5, Show these informations in pictograph. 6

Name Number of Toys

Merry

Natasha

Phurba

Juneli

Karma

Santosh

Oasis School Mathematics Book-3 237

Measurement

Contents
• Area

238 Oasis School Mathematics Book-3

Area

Measurement of area

Look and learn.

1 cm This is a square box having all sides of 1 cm.
1 cm Area of this square box is 1 square cm.

There are four square boxes having all sides of 1 cm. Area of
4 square boxes = 4 square cm

We can find the area by counting the square boxes.

Count the square boxes and find out their area.

square cm square cm square cm

square cm square cm square cm

Oasis School Mathematics Book-3 239

Study the given graph and find the area shaded figure.

A BP QE F

D CS R
H
G

W XM N

ZY O

P

From the above graph;
Which figure has more area?
What is the area of figure ABCD?
Let's count the unit squares inside it.
It has 6 unit squares.
Hence,
Area of figure ABCD = 6 square units

240 Oasis School Mathematics Book-3

In the similar way, square units.
Area of PQRS =

Area of EFGH = square units.

Area of WXYZ = square units.

Area of MNOP = square units.
Hence, figure has more area.

Calculation of Area of Rectangle with given Length and
Breadth.

Lets observe the given figure. 5 cm

Length of the rectangle is 5 3 cm
cm and its breadth is 3 cm.

Lets divide the length into 5 equal parts and breadth into 3 equal parts.

I understand!
We have to divide the length and

breadth in the gap of 1 cm.

Now, lets count the number of small square inside the rectangle.
Number of small squares inside the rectangle = 15.
Area of each square = 1 square cm.
Area of rectangle = 15 square cm.

Oasis School Mathematics Book-3 241

Divide the given rectangle in suitable scale along its length and

breadth and calculate its area. 6 cm

5 cm

3 cm 4 cm

square cm. square cm.
10 cm 2 cm

6 cm 7 cm

square cm. square cm.
5 cm 4 cm

5 cm 4 cm

square cm.

square cm.

242 Oasis School Mathematics Book-3

Draw the vertical lines and horizontal lines from the marked
position and hence find their area.

square cm.

square cm.

square cm. square cm.
square cm.
square cm.

Oasis School Mathematics Book-3 243

Worksheet In the given graph-sheet draw the rectangle of
area 10 square cm, 16 square cm, 20 square cm
and 24 square cm. Colour them with different
colour.

244 Oasis School Mathematics Book-3

Estimation of Area Lets make the square of area
1 square cm inside it.
Look and learn.
AB
Let's guess the area of the given rectangle.
AB

D CD C

12 square cm. 16 square cm.

Count the squares inside it.
There are 15 squares.
Hence, area of given rectangle is 15 square cm.

Estimate the area of given rectangle also find the actual area by making
unit squares.

Estimated area = Square cm
Actual area =
Square cm
Estimated area = Square cm

Actual area = Square cm

Oasis School Mathematics Book-3 245

Measurement of Area I know ! Area of 2 half
square boxes is equal to 1
Look and learn.
square cm

It is half of the square.
Area of two such half squares is 1 square cm.

There are 4 triangles. i.e. There are 4 half squares.
Area of two half squares = 1 square cm.
Area of four half squares = 2 square cm.

There are 4 squares and 4 half squares.

Area of 4 squares = 4 square cm.

Area of 4 half squares = 2 square cm.

Area of this figure = 4 square cm + 2 square cm

= 6 square cm

Count the square boxes and half square boxes separately and find the area:

Area of square boxes =
Area of half square boxes =
Total area =

Area of square boxes =
Area of half square boxes =
Total area =

246 Oasis School Mathematics Book-3

Objective Questions

1. If the Area of is 1 square cm, then the area of given figure is

1 squre cm 7 squre cm 6 squre cm

2. How many boxes of area 1 square cm can be drawn in the given
rectangle.

2 cm

4 cm 8

42

3. If two sides of given rectangle are 2 cm and 5 cm, draw horizontal
and vertical lines, then the area of rectangle is

5 square cm 2 square cm 10 square cm

4. The area of given figure is

9 square cm 8 square cm 10 square cm

5. The area of given figure is

9 square cm 8 square cm 10 square cm

Oasis School Mathematics Book-3 247

Unit Evaluation Full marks : 10

1. If the area of 1 box is 1 square cm, what is the area of 2
given figure?

square cm square cm

2. Draw the vertical and horizontal lines and find the area of given
rectangle. 4

square cm square cm

3. Divide the given rectangles into unit squares by using suitable

scale and calculate their area. 4

5 cm 4 cm
3 cm
2 cm

square cm square cm

248 Oasis School Mathematics Book-3

Model Test Paper

Full Marks : 100

Colour the correct alternatives: [15 × 1 = 15]

1. a. How many vertices does a quadrilateral have?

234
b. The smallest number formed by the digits 0, 1, 6, 3, 4, 8, is

013468 103468 864310

c. The greatest number of 5 digits is

99999 10000 99999

d. Rounding off 17 to its nearest 10 is

10 30 20
e. The Roman numeral for the number 59 is

LIX LX LXI

f. The product of 15 and 30 is

45 15 450

g. The division fact for the statement 'Divide 30 pencils equally
among 5 children" is

30÷5=6 30÷6=5 5×6=30

h. Quarter to 4 means

4 : 15 3 : 45 4 : 45
i. 1350 cm is equal to

1 m 350 cm 135 m 13m 50cm

j. Which of the following relation is not true?

1 l = 1000 ml 1 m = 1000 cm 1 kg = 1000gm
k. 72 means one seventh 7 two's

2 sevenths

Oasis School Mathematics Book-3 249

l. 120 means 0.2 2
0.02

m. Which of the following pairs are like fractions?

2 and 1 4 and 4 2 and 1
3 3 7 9 4 3

n. Which of the following statement is not true?

5 belongs to the set of even number

Rose belongs to the set of flowers

Mango belongs to the set of fruits 11x
o. 11x + 5x is equal to

6x 16 x

2. Write the name of following plane figures. 2×1=2

PP

QS

QR R

3. Draw the line segment having following length. 2×1=2
2
AB = 6 cm PQ = 4.5 cm

4. Write the name of given angle, its vertex and arms:

P

Angle :

Vertex :

QR Arms : and

250 Oasis School Mathematics Book-3