Worksheet 1 1. The expanded expanded form of 21.1097 is ____________ ___________________ ______________ _____________ ______ 2. A fraction whose numerator is smaller than its denominator is called ____________ ____________ fraction. fraction. 3. 10m 1 cm cm = _____ _______ ___ _ cm cm 4. 1 hundred hundredth th = ______ __________ _____ _ thousan thousandths dths 5.
4 7
_______
32 56
6. The decimal decimal represe representat ntation ion of 7. 1 x
3 5
502 1000
is ___________
= __________
8. What fraction fraction of a day is 3 hours? hours? 9. Expre Express ss as a frac fractio tion n a) 23.01
_____________
b) 3.005
_____________
c) 0.001
_____________
10.Write 10. Write three equivalent fractions fractions of
4 5
11.Convert: a) 220 mm = ___ ______ _____ ____ __cm. cm. b) 7.25 7.25 L = ____ ______ ____ __ ml. c) 1250 1250 ml ml = ___ ______ _____ ____ __ L. d) 13.50 13.50 kg kg = ____ _______ _____ __ g. g. 12. A class has 32 students,
3 4
of the students are boys. How many are girls?
13. Ra Rahim travelled 450.52km by train, 56 km 500m by car, and 8 km 480m by scooter. What is the total distance covered by Rahim in meters?
14.For 14. For the number 3.816, write the digit in a) Ones Ones place place
_____ ________ _____ _____ ___
b) Hundredt Hundredths hs place place
________ ___________ _____ __
c) Thousandths place _____________ d) Tenths place
_____________
15.a) Add 43.08; 5.932; 187.6 b) Subtract 9 cm 6 mm - 6 cm 7 mm
16. Sunitha needs 2.5l juice for a party. The shopkeeper gave her 1 bottle juice of 750ml and another bottle of 1.5l . Did
she get enough juice from the
shopkeeper? If not, how much more or less should she get?
17.The sum of two decimals is 7.74, if one of them is 4.3, find the other decimal. 18.Tanya has 88 sweets in a box. She keeps
1 4
,of them for herself and shares the
rest with cousins. How many sweets will she give to her cousins?
19.Subtract a) 3kg 800g - 1 kg 900g b) 24L -13L 500ml c) Add 3 L 350 ml + 800 ml d) Add 5m 8 cm and 11m and 9cm 20. Jiya’s dog is
5
1 2
years old. Her cat is
4
1 3
, years younger than her dog. How old
is her cat?
21.a) Shade
4 10
of the design:
b) Write decimal and fractional form for the following figure.
Worksheet 2 2
1. The decimal form of
100
is _____________
2. Compare using appropriate symbol ( <, > or =) 0.8
_____ 0.800
3. _________ is the only number which is its own multiplicative inverse. 4. a) 215g = _______kg b) 191 cm = ________m 5.
19 5
is an ______________ fraction.
6. When we convert 7. a) 60g
b) 1 km
24 6
to mixed fraction we will get _____
= ________kg = ________m
8. The teacher wrote the word “TELEPHONE” on the board. What fraction of letters are vowels? _________ 9. Which point on the number line represents 1
7 10
?
10.Weight of one dozen eggs is 720g. What will be the weight of each egg? 11.Add/subtract a) 4L 350ml + 850 ml b) 28 km 750m + 39 km 540m c) 4 kg - 2 kg 50 g 12.How many minutes in
5 6
of an hour?
13.Fill in the blanks with the correct unit. a) Length of a book is about 15 ______ b) A bottle of medicine has 50 _____ of liquid. c) Weight of a suitcase is about 10,000 _______ d) The distance between two cities is in __________ e) Thickness of a fingernail is about 0.001 ________
2 5
14.a) Multiply: b) Divide:
6 7
1 3
x x
2 3
15. Nandy used half of a newspaper to cover her book. How many newspapers
would she need to cover 15 books? 16. Write in ascending order:
5.8
5.08
5.81
5.081
5.801
17. Add/subtract the following:
a) 3 b)
5 7
4 45
- 2
+
6 7
2 5
18.A water tap drips at the rate of 225 ml per hour. How many litres of water would drip from it in one day? 19. A shopkeeper had Rs 50.48 in his cash box when the sales began. At the end of
the day he had Rs 200.60. How much did he sell today? 20. Rewrite in descending order:
9 20
,
4 15
,
7 40
,
7 10
21. Use the numbers 9,9,9,4,0 to form three numbers less than 0.9999. 2
1
3
6
22. Sheela bought a ribbon of length 7 m long. Two pieces each of 2 m and 1
1 9
m are cut from it and given to her friends. How much ribbon is left with
Sheela? 23. Add
a) 0.05 + 3.05
b) 4.01 + 0.14 + 0.11
Worksheet 3 1. Compare using appropriate symbol (<, > or =) 97
_____ 79.01
2. When the denominator of a fraction is increased, the fraction _________.
3. a) 453 cm = _____ m _______cm b) 4000 kg = __________ gm c) 49.85 l = ___________ ml d) 194 m = ___________mm.
4. a) 0.700 = _____________ (Express as Fraction) b) 0.05 = ______________(Express as Fraction) 5. Check whether the fractions are equivalent or not
6 13
,
9 17
6. a) 4 kg = ________________gm b) 49.8 l = _________________ ml 7. When we convert
34
8. Express as decimal:
9.
10
24
13
8
to mixed fraction we will get ________ 45
= _________
1000
= ______________
10.a) Add 9kg and 57g and 3kg and 869g b) Subtract 2.346 l from 7.835 l 11.For the number 761.352, write the digit in the a) Ones place b) Thousandths place 12.What must be added to 5
1 2
, to get 9
1 5
13.Convert the fraction into the lowest term
14.3
1 3
l of
? 24 36
juice is to be poured equally into 8 glasses. How much juice will be
poured in each glass?
15.a) Add: 5
5 6
b) Subtract
16.Shish gave
11
+
6
5-
5
4
24
9
of Rs 650 to his friend and
5
1 5
of the remaining amount to his
sister. How much money is left with him now? 17.a) Add 24.01 + 1.01 + 24 b) subtract 10.0008 - 0.007 18.Arrange the following fractions in the descending order. 3 4
,
7 8
,
1 2
,
3 6
19.My friend is 11.5cm taller than me. If my height is 120cm. What is the height of my friend? 20.The fish tank contains 10 l of water. Everyday, the water level reduces by 5 ml . If the water level of 10 l has to be maintained, how many ml of water must we add in a week? 21.Coach A’s team won 7 out of every 10 games, and Coach B’s team won 9 out of every 16 games. Determine which coach has a better record.
Worksheet 4 1. A fraction whose denominator is smaller than its numerator called _______ fraction. 2. Compare using appropriate symbol (<, > or =) 3.5
_____ 3.21
3. The place value of 5 in 23.45 is _______ 315
4. The decimal form of
1000
is _________
5. If the numerator of a fraction is 1, it is called ___________ 6. Find the capacity in litres a) 250 ml = ____________ b) 1650ml = ___________ 7. Express as a fraction
a) 1.7 b) 0.1435 c) 9.76
8.
4 7
_____________ _____________ _____________
___________
32 56
9. a) 19cm = ___________________mm b) 37 km = ________________m 10.Arrange the fractions in descending order.
2 4
,
6 10
,
7 8
,
3 12
11.A vegetable seller bought 80 kg potatoes. He sold 62.895 kg during the day. How much potatoes are left now? 12.Add
4 7
,
2
3 4
, 5
13. A ribbon was 23.7 m long. It was cut into 4 pieces of 3.9m, 14.2 m, 2.9 m and 1.08m. Find the length of remaining ribbon.
14.Reduce to lowest terms
32 64
15.a) Add: 1kg 250g + 750g + 3kg 620g b) Subtract: 12 kg 2g and 5 kg and 8g 16.Asha, Poonam and Piyali decided to fill a bucket with milk. Asha filled the bucket with 2
1 4
l of milk. Poonam and Piyali filled the bucket with 6
1 3
l and of 1
1 5
l
milk respectively. Find how much milk is filled in the bucket? 17.If school meets for 10 months out of the year, then what fraction of the months are students off? 18. For one scene 13L 500ml water was poured into a bucket of 24L capacity. How much more water could the bucket hold? 19.a) Convert into mixed fraction:
46 7 7
b) Convert into improper fraction: 6 8 20.Write in ascending order: 21.2 20.21
212.01
20.1020
20.201
21. Rani gets 3 out of 8 math problems correct, Mark gets 8 out of 9 problems correct and Carol gets 7 out of 12 problems correct. Order these fractions from least to greatest. 22.a) Add 18.02 + 2.3 + 1.48 b) 8 - 5.7
Worksheet 5 1. 18.24 = _____________(Express as Fraction) 2.
99 10
= _____________(Express as decimal) 4
3. Put the proper sign <, >, =
______
6
20 30
4. a) 50 kg = ________________g b) 50 g = _______________kg 5. Fraction with bigger numerator and smaller denominator is called __________ 6. Write in decimal form 9
35 100
__________
7. Arrange in descending order:
2 7
,
13
,
35
11 14
8. Compare using appropriate symbol 8.5 _______ 8.42 9. Arvind drives 598.6km, 203.7 km, 92.5 km and 86.9 km. How much farther does he have to travel to complete a total distance of 1000 km? 10. a) Add 13 kg 870g and 17 kg 250g b) Subtract 21m 30 cm from 25m 11.What should be subtracted from 45.13 to get 30.56? 12.Reduce to lowest terms
13. How much more is
2 3
17 68
of 108 than
1 7
of 89?
14.A pile of 100 identical books is 41 cm thick. What is the thickness of 1 book in mm? 15.Simplify: 3.598 + 1.72 + 4.037 - 5.109
16. The distance around a park is 2 km 200m. Rehan jogs two rounds around it every day. How much distance will he cover in 1 week? 17.Arrange in ascending order: 21.111; 21.121;
21.212;
22.111
18.Manish’s weight is 83 kg 450g and Ashish is 6 kg 900g heavier than him. Find Ashish’s weight in kg. 19. Amy has 72 sweets in a bag. She keeps
1 4
of them for herself and shares the
rest with friends. How many sweets will she give to her friends? 20.
Number One and hundredths
Fractional form
Decimal form
fourteen 0.0095 15 10
21.The table given below gives the marks of students in Mathematics out of 100. Study the table and answer the questions given below: Name of the student
Marks scored
Ana
95.25
John
73.75
Arpita
84.50
a) What is the difference between the highest and the lowest mark? b) Find the total marks of all the three students. c) How many marks did Ana get more than Arpita? d) Arrange the marks from highest to lowest. e) Find the total marks of John and Arpita.
Worksheet 6 1. Two numbers are the multiplicative inverse (M.I) of each other, when their product is ______. 2. 2.04 in fractional form is _______ 3. Length of a ruler = 15____ 4. How many minutes in
2 3
of an hour?
5. Which is the greatest fraction among
5 6
,
1 8
,
2 3
and
11 12
?
6. Which is smaller, 19.023 or 19.027? _______ 7. Unlike decimals can also be ______________ decimals. 8. Convert a) 3 kg 30g = ___________ kg
b) 918 cm = __________m _____________ cm c) 7650 ml = ______________ l d) 1.2 km = _____________m 9. 5.72 + 3.800 __________ 8.52 (use > or < or = sign) 10.
703 1000
= _____________ (Express as decimal)
11.Reduce the fractions to lowest terms: a) b)
21 14 144 80
12. A brick weighs 2
1 5
kg. A stone is 1
1 10
kg lighter than the brick. Find the weight
of the stone. 13.a) Add 87.983 km, 7.095 km and 2.008km b) Subtract 16 cm 7mm from 20 cm
14. Preeti read
5 8
of storybook yesterday and
2 8
today. How much more did she
read yesterday as compared to today? 15.A shopkeeper had 60m of silk. He sold 28m 50cm to a man. How much silk was left with him? Express the result in meters. 16. The product of two numbers is 7
2 3
. If one of the numbers is
4
7 15
, find the
other number. 17.Neelam bought a pen for ₹ 32.5, papers for ₹ 45.75 and a box for ₹ 43.5 from a stationary shop. Find the amount left with her, If she had ₹ 200 with her. 18.A family spent
1 5
of the monthly income of Rs. 2,650 on transport. Find out the
monthly expenditure on transport. 19. a) Add 21.939, 1.160 b) Subtract 55.450 from 77.45 20.Arrange the following in descending order. 0.02; 0.2; 1; 1.2;
0.211
Sample Paper 1 SECTION -A
(8 X ½ =4)
1. A fraction whose numerator is bigger than its denominator is called ___________ fraction. 2. 5005 g = ______________ kg 3. Which of the following fractions is the unit fraction? a)
2 8
4. The decimal form of a) 0.07
b) 7 10
5
c)
4
7
d)
9
1 4
is :
b) 0.007
c) 0.7
d) 7.0
5. 12 km 96m = __________ km 6. For the number 76.42, the number at tenths place is a) 6
b) 7
c) 4
d) 2
7. 1 metre is equal to _________ centimetre 8. To convert mm into m we ___________ SECTION -B
(5 X 2 =10)
9. Give the decimal and fractional expansion of 143.334 10. Write the following decimals in descending order 3.991,
3.1999,
3.0999,
3.9
11. Rahul and Raj walked back to their homes by walking 2.5km and 2.48km respectively. Who walked more distance? How much more? 12. a) Add 6l 250ml and 7l 850ml b) Subtract 13l 500ml from 24l
13. Express as a fraction a) 0.08
b) 25.83 SECTION -C
(2 X 3 =6)
14. Ellen wanted to buy the following items: A DVD player for ₹1456.75, chocolate for ₹0.75
and a dress for ₹500.50. Does Ellen have enough money to buy all three items if ₹2500
she has
with her? If she has enough money to buy all the items how much
money will be left with her after the purchase? 15. Write true or false a) b) c) d) e) f)
4 5 4 4 3 6
is an improper fraction >3 is the fraction in its lowest term
36 42 3 4
=
6 7
and
1 4
are unlike fractions
Proper fractions can be changed into mixed fractions
Sample Paper 2 SECTION -A
(8 X ½ =4)
1. 1 kilogram is equal to __________ grams 2. 12.00 and 0.12 are like decimals (T/F) 3.
56 32
=
4
4. The value of A in the following number line is __________
5. Place value of 8 in 34.678 is ____________ 6. Decimal form of 37 hundredth is ___________ 7. ___________ is closest to 1 in the given numbers (0.900,
1.199)
8. 0.9 Km = ______m.
SECTION -B 9. a) Find the sum of
1 5
4
and
b) Subtract the fraction
3 5
6
-
1 8
(5 X 2 =10)
10. Convert fraction into decimal and decimal into fraction
a)
68 1000
b)
1234 100
c) 5.007 d) 0.0089 11. Convert the following: a. 1.6 m into mm b. 0.1 kg into g c. 6351 ml into l d. 11.07 km into m.
12.
a) b)
54 48 32 12
X
16 27 16 6
13. a) Arrange the fractions in ascending order b) Reduce the fraction
45 54
1 2
,
2 3
,
1 4
,
5 6
to the lowest term
SECTION -C
(2 X 3 =6)
14. Gopal travalled 125.5 km by bus, 14.25 km by pony and the rest of the distance to kedarnath on foot. If he covered a total distance of 150 km. How much did he travel on foot? 1
15. Prateek makes a triangle with sides measuring 3 3 cm, the total length of all the three sides? (write statements)
4
3 4
cm,
5
1 2
cm . What is
Sample Paper 3 SECTION -A
(8 X ½ =4)
1. To convert a smaller unit to a bigger unit, we need to ____________ 2. 0.650 kg sugar can be kept in ______ 200g packets and ______ 50 g packets (Write the number of packets) 3. Give the place value of the underlined digit 82.792 _____________ 4. Writing or removing __________ at the end of a decimal number does not change its value. 5. The reciprocal of 1
6. How many
3
2 3
is __________
’s are there in 2?
7. Two numbers are the multiplicative inverse (M.I) of each other, when their product is ___________
8.
7
3 4
litres= __________ml
SECTION -B 9. Zoha spent
5 6
(5 X 2 =10)
of ₹ 570 on buying books. How much money is left with her now? (write
statements) 10. a) Subtract 76l 675 ml from 100l b) How many millilitres are there in 7.6 l ? 11. A tin containing biscuits weigh 3kg 300g. The weight of the empty tin is 1kg 200g. What is the weight of biscuits in this tin?
12. Write the decimal for each of the following: a) 6 tens + 4 ones + 5 tenths + 8 thousandths b) 8 hundreds + 3 ones + 4 tenths + 2 thousandths c) 5 hundreds + 5 hundredths + 5 thousandths d) 5 ones + 6 thousandths
13. a) Divide 5 by
3 4
b) Subtract 3.96 from 15.01
SECTION -C 14. a) The product of two numbers is
5
2 3
. If one of the numbers is
(2 X 3 =6) 4
5 15
, find the
other number. b) How much more is
2 3
of 195 than
1 5
of 150?
15.Rita started walking from pillar A to pillar B which is 2km away. She stops after covering a distance of 1346 m. How far is she from the finishing point?
