KENDRIYA VIDYALAYA, CRPF, AVADI, CHENNAI -65

STUDY MATERIAL (2019 – 20)

CLASS V MATHS

VSA

1. Write the value for the given terms.

10 ones = 1 tens

10 tens = 1 hundred

10 hundreds = 1 thousand

10 thousands = 1 ten thousand

10 ten thousands = 1 lakh

10 lakhs = 1 ten lakh

10 ten lakhs = 1 crore.

2. Write the number names for the following.

a. 3,69,748 – Three lakhs sixty nine thousand seven hundred Forty

eight.

b. 50,43,769 – Fifty lakhs forty three thousand seven hundred sixty

nine.

c.5,23,409 – Five lakhs twenty three thousand four hundred and

nine.

d. 79,632 – Seventy nine thousand six hundred and thirty two.

e. 76,49,823 – Seventy Six lakhs forty nine thousand eight

hundred and twenty three.

f. 99999 – Ninety nine thousand nine hundred and ninety nine.

g. 98,63,254 – Ninety eight lakhs sixty three thousand two hundred

fifty four.

3. Write the numerals forms of:

1. One lakh sixty two thousand three hundred forty two – 1,62,342

2. Thirty five lakhs ninety eight thousand eight hundred and ninety

nine – 35,98,899

3. Fifty two lakhs forty two thousand fifty five – 52,42,055

4. Three crores twenty eight lakhs sixty three thousand two

hundred seventy nine – 3,28,63,279

5. Five crores twenty three lakhs forty five thousand six hundred

and eighty seven – 5,23,45,687

6. One crore eighty two lakhs thirty six thousand nine hundred and

seventy two – 1,82,36,972.

4. Values of the following given numbers.

1 crore = 100 lakhs

1 lakh = 100 thousands

10 lakhs = 1000 thousands

1 thousand = 10 hundreds.

5. Make the smallest and greatest five digit number using the given

digits.

1. 72863: Smallest: 23678 Greatest: 87632

2. 94523: Smallest: 23459 Greatest: 95432

3. 96035 Smallest: 30569 Greatest: 96530

4. 630459 Smallest: 304569 Greatest: 965430

5. 47027 Smallest: 20477 Greatest: 77420.

SA

1. Solve the following.

a) Long boat travel 4 km in one hour. How long will they take to go

a distance of 10 km?

Ans:

One hour = 4 km

Two hour = 4 + 4 = 8 km

Half an hour = 4 ÷ 2 = 2 km

Two and half hour = 8 + 2 = 10 km

b) Motor boats travel faster, at the speed of about 20 km in one

hour. How far would the motor boats go in three and a half hour

Ans:

One hour = 20 km

Two hour = 20 + 20 = 40 km

Three hour = 20 + 20 + 20 = 60 km

Half an hour = 20 ÷2 = 10

Three and half hour = 60 + 10 = 70 kms.

c) The fish weighs 8 kg. Fazilla sell the whole for Rs. 1200. At what

price per kg did Fazilla sell the kingfish?

Ans:

Cost of 8 kg of fish = Rs.1200

Cost of one kg = 1200 ÷ 8

Cost of one kg = Rs. 150

d) Floramma has sold 10 kg of prawns today. How much money did

she get for that? (Cost of 1kg of prawns = 150)

Ans:

Cost of 1 kg of prawns = Rs. 150

Floramma sold = 10 kgs

Money earned by her = 10 x 150 = Rs. 1500

e) A boat covers 20 km in one hour. How long it will take to

cover 80 kms?

Ans:

1 hour = 20 km

2 hour = 20 km + 20 km = 40 km

3 hour = 20 km + 20 km + 20 km = 60 km

4 hour = 20 km + 20 km + 20 km + 20 km = 80

kms

f) A boat covers 5 km in one hour. How long it will take to

cover 15 kms?

1 hour = 5Km

2 hour = 5 km + 5 km = 10 km

3 hour = 5 km + 5 km + 5 km = 15 kms

g) A log boat travels 4 km /hr and it brings 20 kgs of fish in

one trip. How much fish a log boat brings in 10 trips.

Ans:

One trip = 20 kgs

10 trips = 20 x 10

= 200 kgs.

LA

IA) The meeting of the Meena Bank has just begun. Fazilla is the

President. Twenty Fisher women have made their own bank. Each

saves Rs.25 every month and puts it in the bank.

i) How much money does the group collect each month?

Ans: There are twenty fisher women

Each saves = Rs. 25

Total Saving = 20 x 25 = Rs. 500

1B) How much money will be collected in ten years?

Ans:

Total saving each month = Rs. 500

Every they save = 500 x 12months = Rs.6000

For ten years they are saving = Rs.6000 x 10 = Rs. 60000

2A) Gracy took a loan for Rs.4000 to buy a net. She paid back

Rs.345 every month for one year. How much money did she pay

back to the bank?

Ans:

Gracy took a loan = Rs.4000

She repaid every month = Rs.345

For one year she repaid = 345 x12

She paid to the bank = Rs.414

2B) Jhansi and her sister took a loan of Rs.21000 to buy a log boat.

They paid back a total of Rs.23520 in one year. How much did they

pay back every month?

Ans:

Jhansi took a loan = Rs.21000

She repaid to bank in one year = Rs.23520

Each month she paid = 23520 ÷ 12 = Rs. 1960

Each month she paid to the bank = Rs. 1960.

Chapter2: Shapes and Angles.

VSA

General points to be remembered.

1. When two rays start from the same end point, they form an angle

between them.

2. An angle whose measure is less than 90◦ is called an Acute

angle.

3. An angle whose measure is 90◦ is called a right angle.

4. An angle whose measure is more than 90◦ is called an obtuse

angle.

5. ½ of a right angle = 45◦ 6. 1/3 of a right angle = 30◦

7. 2 times a right angle = 180◦ 8. ¼ of a straight angle = 45◦

9. 3 times of 30◦ is a right angle

10. Identify the following angles as acute, obtuse or right angles:-

a. 12 degrees - acute angle b. 72 degrees – acute angle c. 165 degrees – obtuse angle d. 90 degrees – right angle e. 89 degrees - acute angle f. 179 degrees – obtuse angle

SA

LA :Draw the hands and Write Kind of angles do they form:

Time: 8:30 5:50 3:00 9:15

Angle: Acute Obtuse Right

Straight

2. Observe the figure and answer the questions: a. Name the common vertex. b. Name the right angle. c. Name the angle less than right angle. d. Name the angle more than right angle. e. Name the arms of angle AOB.

CHAPTER: HOW MANY SQUARES?

VSA

1. The length of the boundary is called perimeter. It is the sum of all

sides.

2. The space within the boundary is called Area.

3. Unit of perimeter = m or cm.

4. Unit of Area = sq.m or sq.cm

SA

Find the area of the following.

A square has 5 m on all sides. Calculate the area.

Ans: Area of a square: sxs

= 5 x 5 = 25 sq m.

2) A rectangle has length of 7cm and breadth of 2 cm. Find the perimeter

Ans: Perimeter = sum of all the sides

= 2 cm + 7 cm + 2 cm + 7 cm

= 18 cm

3) A rectangle has length 6 cm and b

readth 5 cm calculate Area.

Ans: Area = l x b

= 6 x 5

= 30 sq cm.

CHAPTER: PARTS AND WHOLES

VSA

A fraction is written as Numerator/ Denominator .

Find out the following.

1. ½ of 100 = 50

2. ¼ of 100 = 25

3. four ¼ make a whole.

4. 25 paise is one fourth of a rupee.

5. 20 paise is one fifth of a rupee.

6. 50 paise is one half of a rupee

7. Colour 1/6 of 18 triangles = 18 x 1/6 = 18 / 6 = 3

8. Colour ¼ of 16 circles = 16 x ¼ = 16/4 = 4

9) 1/3 of 18 = 18 x 1 /3 = 18 /3 = 6

10) ½ of 40 = 40 x ½ = 40/2 = 20

11) 1/5 of 35 = 35 x 1/5= 35/5 = 7

12. Write the fraction for shaded part

A) = ¼

B) = 2/5

Note: 2/5 2 is the numerator, 5 is the denominator

SA

Equivalent Fractions.

1) ½ = 2/4 2) 1/6 = 2/12 3) 1/7 = 2/14

4) 2/3 = 4/6 5) 1/9 = 2 / 18 6) 1/5 = 2 / 10

Solve the following

a) There are 15 pots. Find 1/3 of it

Ans:

1/3 of 15

= 15 ÷ 3 = 5

1/3 of 15 = 5 pots

b) Find 1/7 of 56 balls.

Ans:

1/7 of 56

= 56 ÷ 7 = 8 balls

1/7 of 56 = 8 balls.

c) There are 2000 mangoes in a bag. One-fourth of them is given to

Mohan and 1/5 of them is given to Raju. How many mangoes are

left?

Ans:

Total mangoes = 2000

Mohan = ¼ of 2000

= 2000 / 4 = 500 mangoes

Raju = 1/5 of 2000

= 2000 / 5 = 400 mangoes

Mangoes left = 2000 – 500 – 400 = 1100 mangoes are left.

LA

1) Manju had a chocolate. She gave one-fourth of it to Raji. One-

third to Swetha and one-sixth to Sheela. She ate the remaining

part. How many pieces of chocolate did each get?

Ans:

There are 12 pieces of chocolate totally.

Raji Share = ¼ of 12 = 12/4 = 3 pieces

Swetha = 1/3 of 12 = 12 /3 = 4 pieces

Sheela = 1/6 of 12 = 12/6 = 2 pieces

Manju ate = 12 – 3 – 4 – 2 = 3 pieces.

2) SHANTI’S SHOPPING LIST

Look at the price list and answer

Item Price in Rs per kg

Tomato

Potatoes Onion

Carrot Gourd

12

10 16

18 8

a) How much does 2 kg of tomatoes cost?

Ans: Cost of 1 kg tomatoes = Rs. 12

Cost of 2 kg tomatoes = 2 x 12 = Rs. 24

b) How much does ½ kg tomato cost?

Ans: Cost of 1kg tomato = Rs. 12

Cost of ½ kg tomato = 12 x ½ = 12 / 2 = Rs. 6

c) Kiran wants 2 ½ kg of tomatoes. How much will it cost?

Ans: Cost of 1kg tomato = Rs 12.

Cost of 2 kg tomatoes = Rs. 24

Cost of ½ kg tomato = Rs.6

Cost of 2 ½ kg of tomatoes = Rs. 30

d) How much does 3 ½ kg of potatoes cost?

Ans: Cost of 1 kg Potato = Rs.10

Cost of 3 kg potatoes = Rs. 30

Cost of ½ kg potato = Rs 5

Cost of 3 ½ kg of potatoes = Rs. 30 + Rs. 5 = Rs. 35

e) What is the price of 1 ¼ kg of carrot?

Ans: Cost of 1 kg of carrot = Rs 18

Cost of ¼ kg of carrot = ¼ x 18 = 18 /4 = Rs 4.50

Cost of 1 ¼ kg of carrot = Rs. 22.50

f) What is the cost of 4 ¾ kg of gourd?

Ans: Cost of 1 kg gourd = Rs. 8

Cost of 4 kg gourd = 4 x 8 = Rs. 32

Cost of ¾ kg of gourd = ¾ x 8 = 24 /4 = Rs. 6

Cost of 4 ¾ kg of gourd = Rs 32 + Rs. 6 = Rs. 38

*** Note: Please refer to class work and Home work********