IV Maths (II SEM)

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1
QUESTION BANK
SUBJECT: MATHS
Class: IV
II SEMESTER PORTIONS
Lesson – 9
Fraction
I. Fill in the blanks: 1m
1.
2.
3.
4.
5.
Fractions that represent same parts of the whole are called ______________.
Fractions with different denominations are called ________________.
Fractions with numerator 1 are called _______________.
Fractions where the numerator is less than the denominator are called ____________.
Fractions where the numerator is greater than or equal to the denominators are called
______________.
6. Improper fractions that can be expressed as whole and a proper fraction is called
_____________.
7.
+ =
8.
+
=
9.
+
+
10.
-
=
11.
-
=
=
II. Rewrite as directed: 1m
1. Write the following fractions in numbers
(a) One sixth
(b) Three eighths
(c) One quarter
(d) Five – twelfths
2. Write the missing fraction
FRACTION
NUMERATOR
(a)
(b) ____________
(c)
DENOMINATOR
__________
5
2
7
__________
_________
2
3. Shade the figure
( )
(b)
4. Arrange in ascending order:
(a)
,
(b) ,
,
,
,
,
5. Arrange in descending order:
(a)
,
(b)
,
,
,
,
,
III. Rewrite as directed: 2m
1. Use >, < or =
(a)
(b)
(c)
(d)
2. Write the fraction for the shaded portion. Write yes or no if the fractions are
equivalent or not:
(a)
3
(b)
3. Classify the fractions as proper or improper fractions
,
,
, , ,
,
,
4. Find an equivalent fraction of
(a) numerator = 15
(b) denominator = 42.
IV. Find the sum: 3m
1.
+
2.
+
=
3.
+
+
4.
=
+
+
=
V. Subtract: 3m
1.
-
=
2.
-
=
3.
-
=
VI. Multiply: 3m
1. 3 x
2.
=
x7=
=
with
4
3. 10 x
4. 6 x
VII
=
=
(a) Arrange in descending order: 4m
1.
,
,
2.
,
,
,
,
(b)Arrange in ascending order: 4m
1.
,
2.
,
,
,
,
,
,
,
VIII. Solve: 4m
1. Rohit spent of his money on food and of his money on books. What fraction of the
money did he spend in all?
2. Manu bought m of ribbon and sonal bought m of ribbon. Who bought longer ribbon
and by how much?
3. I bought 10 packets of snacks. Each packet weighed kg. What was the total weight of
the packets of snacks.
Lesson - 10
More About Patterns
I. Observe the patterns given below and complete them: 1m
1.
2.
3.
4.
5.
5
6.
7.
8.
II. Observe the number pattern and Complete them:
2m
a) 1 x 1 = 1
11 x 11 = 121
111 x 111 =
b) 5 x 5 = 25
15 x 15 = 225
25 x 25 =
III. Fill the missing term:
a)
b)
c)
d)
3m
5, 9, 13, 17, _____, _____, _____
3, 9, 27, 81, _____, _____, _____
2, 5, 11, 23, _____, _____, _____
7, 11, 19, 35, _____, _____, _____
IV. Study the patterns and find the missing terms:
(a)
(b)
(c)
4m
6
(d)
Lesson – 11
Basic Geometrical concepts
I. Fill in the blanks: 1m
1.
2.
3.
4.
5.
6.
7.
8.
9.
A square has ________ vertices.
A triangle has _______ vertices.
There are _______ diagonals in a rectangle.
A circle has no _________.
A line has _____ end points.
All the radii of a circle are ___________.
The length of the boundary of a circle is called its ____________
The __________ is the longest chord of a circle.
The space between the arms of an angle is called _______ of the angle.
II. Tick the correct answer:
1. In PQR
1m
PQ = 3cm, QR = 4 cm, PR = 4 cm the PQR is an/a ____________.
[Scalene triangle, Isosceles triangle, Equilateral triangle, None of these]
2. Which one is true for a circle ____________________.
[Diameter = radius, radius = 2 x diameter, diameter = radius, radius =
3. A line segment with its end points on the circle is called a _______________.
[chord, radius, diameter, centre]
III. Say True or False:
1.
2.
3.
4.
5.
6.
7.
1m
A triangle has 3 vertices –
Each face of a cube is rectangle –
The diagonal of a rectangle are equal –
A polygon can have minimum 2 sides –
A polygon with 4 sides is called a pentagon –
A triangle is a polygon –
A hexagonal has 6 sides –
IV. Rewrite as Directed:
2m
1. Classify the following into ray, line or line segment.
(a)
(b)
(c)
(d)
2. How many rays do you find in the following figures? Name them
]
7
3. Name the angles.
V. Rewrite as directed:
3m
1. Name the arms and vertices of the given angles.
2. Draw a quadrilateral PQRS
Name its sides, vertices, diagonals.
3. Classify the triangles into scalene, isosceles and equilateral according to the length.
4. Find the diameter of circle whose radius 16cm.
5. Find the diameter of circle whose radius 24cm.
6. Find the radius of a circle whose diameter is 48cm.
VI. Rewrite as directed:
4m
1. Draw a circle of radius 3cm.
2. Draw a scalene triangle and isosceles triangle
3. Observe the given figure and name the following:
(a) Centre of the circle __________
(b) Radii of the circle ___________
8
(c) Chord of the circle __________
(d) Diameter of the circle _________
Lesson – 12
Symmetry
I. Tick the correct answer: 1m
1. How many lines of symmetry does a circle have?
[0, 1, 4, infinite]
2. Which of the following figure is symmetrical about the dotted line.
II. Draw the lines of symmetry in following:
(a)
(b)
(c)
III. Complete the figure by drawing second half:
(a)
2m
(d)
3m
(b)
Lesson -13
Perimeter and Area
I. Fill in the blanks: 1m
1) The length of the boundary of any plane figure is known
___________________.
2) The unit of perimeter _________ as the unit of length.
3) A triangle is a _________ made up of 3 line segment which are its sides.
4) Perimeter of an equilateral triangle = ______________
5) Perimeter of a square = _________________
6) Perimeter of a rectangle = _________________
as
its
II. Tick the correct answer: 1m
1) The perimeter of a triangle whose sides are 6cm, 5cm, 4 cm is _________________.
9
[30cm, 15sqcm, 15cm, 15m]
2) The area of a square whose sides 15m each is ______________.
[225m, 225sqm, 225cm, 2.25m2]
3) The area of a rectangle is 2sqm and its length is 2m its breadth is _________.
[10cm, 100cm, 1cm, 10m]
4) The perimeter of an equilateral triangle is ___________ of its side.
[2 times, 3 times, equal, 4 times]
III. Rewrite as directed:
2m
1. Find the perimeter
(a)
(b)
(c)
(d)
IV. Rewrite as directed:
1)
2)
3)
4)
5)
6)
7)
8)
9)
3m
Find the perimeter of square whose side is 14cm.
Find the perimeter of square whose side is 35cm.
Find the perimeter of a triangle whose sides are 8cm, 7cm and 11cm.
Find the perimeter of a triangle whose sides are 14m, 7m and 20m.
Find the perimeter of a rectangle whose length = 24cm, breadth = 17cm.
Find the perimeter of a rectangle whose length = 42m, breadth = 20m
Find the area of a rectangle whose length = 24cm, breadth = 9cm.
Find the area of a square whose sides 17cm.
Find the area of a square whose side is 35cm.
V. Rewrite as directed:
4m
1. The length and breadth of a rectangular table is 280cm and 125cm. Find the area of
the table.
2. Find the area of a square tile whose each side is 32cm.
3. The perimeter of an equilateral triangle is 36cm. Find the side of the equilateral
triangle.
4. Find the perimeter of an equilateral triangle each of whose sides is 15cm long.
5. The perimeter of a square cloth is 220cm. Find the length of the side of the square
cloth.
10
Measurement
I. Fill in the blanks: 1m
1) We use different units to measure _________, weight and volume of things.
2) The system of units which is commonly used to measure length, weight or volume is
called ______________.
3) The basic unit of length is ____________.
4) 1km = _________m.
5) 1m = ________cm.
6) 1cm = _______ mm.
7) ___________ is the smallest unit for measuring length.
8) The basic unit of weight is ______________.
9) 1kg = ___________ g.
10) 1g = _________ mg.
11) Distance between Delhi and Mumbai is measured in _______________.
12) Length of a pencil is measured in _________________.
II. Do as directed:
2m
1) Convert the following:
(a) 3km 225m into m
(b) 7m 45 dm into dm
(c) 5m 25cm into cm
(d) 62 cm 4 mm into mm
(e) 13 dm 5 cm into cm
(f) 9m 82 mm into mm
2) Convert the following:
(a) 50 mm into cm
(b) 625cm into m
(c) 6578m into km
(d) 9257m into km
3) Convert the following:
(a) 12Kg into grams
(b) 7Kg 256g into grams
(c) 15Kg 15g into g
4) Convert the following into mg:
(a) 19g into mg
(b) 25g into mg
(c) 82g 82mg into mg
5) Convert the following into Kg:
(a) 2387g into Kg
(b) 6700g into Kg
(c) 8080g into Kg
6) Convert the following into g:
(a) 4200mg into g
11
(b) 3255mg into g
(c) 7288mg into g
7) Convert into litres:
(a) 15kl into l
(b) 8kl 8l into l
(c) 12kl 265l into l
8) Convert into ml:
(a) 28l into ml
(b) 7l 270ml into ml
(c) 10l 450ml into ml
9) Convert into kl:
(a) 62000l into kl
(b) 7280l into kl
(c) 15255l into kl
III. Do as directed: 3m
1) Add the following:
(a) 15m 25cm + 8m 65cm
(b) 75kg 250g + 62kg 127g
(c) 128km 256m + 64km 128m
(d) 85m 67cm + 37m 27cm
2) Subtract the following:
(a) 32kg 100g – 17kg 400g
(b) 10l 250ml – 5l 650ml
(c) 92m 66cm – 88m 46cm
(d) 72km 700m – 66km 825m
IV. Solve:
4m
1) Shilpa bought 2l 250ml milk and Mamta bought 4l 450ml milk. How much milk did
they buy altogether?
2) A pack of juice contains 2l 200ml of juice, Rahul drank 750ml of juice. How much
juice is left in the pack?
3) My mother purchased 2kg 400g potatoes and 1Kg 550g tomatoes. How much
vegetables did she buy in total?
4) The weight of a watermelon is 3kg 525g and the weight of a papaya is 2kg 750g.
Which fruit is heavier and by how much?
Money
I. Fill in the blanks: 1m
1.
2.
3.
4.
The money used in a particular country is called ____________.
Our Indian currency is ________________ and _____________.
The ____________ separates the rupees and paise.
The number on the left of the dot represents the ________________.
II. Write the amount in words:
1m
12
1.
2.
3.
4.
`2375 –
`72.50 –
`68.50 –
`100.25 –
III. Write in short form:
1)
2)
3)
4)
5)
6)
1m
Forty seven rupees five paise –
Twenty five paise –
One hundred twenty rupees seventy five paise –
Five hundred twenty rupees sixty paise –
Eighty rupees –
Two thousand rupees fifty paise –
IV. Do as directed: 3m
1) Convert into paise:
(a) `15.00
(b) `58.50
(c) `453.25
(d) `825.05
2) Convert into rupees:
(a) 725p
(b) 3800p
(c) 31255p
(d) 6000p
V. Do as directed:
2m
1. Add:
(a) `17.30 and `30.50
(b) `58.25 and `28.50
(c) `153.00 and `93.50
(d) `207.30 and `197.50
2. Subtract:
(a) `15.85 from `30.00
(b) `38.50 from `52.50
(c) `560.90 from `600.00
(d) `780.50 from `900.30
VI. Solve:
4m
1. Raja bought Vanilla cake for `350.50 and cookies for `58.75. How much money did
he spend in all?
2. Mohini had `400.00 with her. She spent `125.00 on a CD and `35.50 on an icecream. How much money is left with her?
3. My mother went to the market. She bought rice for `225.50, tea for `42.75 and sugar
for `128.80. How much money is left with her?
13
4. A calculator costs `415.50. Find the cost of 4 calculators?
5. My mother paid `960.40 for 4 shirts. What is the cost of 1 shirt?
6. The cost of a ball is `28.20. Find the cost of 15 such balls?
Time
I. Complete the blanks:
1)
2)
3)
4)
5)
6)
7)
8)
1m
1 hour = 6 minutes , so 3 hours = _______ minutes.
1 week = 7 days, so 5 weeks = __________ days.
There are ______ days in a leap year
1 fortnight = _______ days.
4:00pm = _______ hours. [Write in 24hour clocktime]
7:30am = _____ hours. [Write in 24 hours clock time]
9:45hours = _______ [Write in 12 hour clock time]
16:20hour = _____ [Write in 12 hour clock time]
II. Tick the correct answer: 1m
1) 11 minutes to 1 is same as _______.
(a) 12:49
(b) 1:11
(c) 12:59
(d) 12:11
2) 5:33pm is same as ____ hours in 24hour.
(a) 15:33
(b) 05:33
(c) 7:33
(d) 17:33
3) 21:22 hours dinotones.
(a) 9:22am
(b) 9:22pm
(c) 8:22pm
(d) 3:22am
4) The difference between 11 hours 20minutes and 9 hours 27 minutes ____________
(a) 2 hour 7 minutes
(b) 2 hour 53 minutes
(c)1 hour 53 minutes
5) The year 2016 will have?
(a) 364 days (b) 365 day
III. Rewrite as directed:
(d) 1 hour 7 minutes
(c) _____ hours.
2m
1) Convert the following into minutes:
(a) 9 hours
(b) 11 hours
(c) 15 hours 5 minutes
(d) 5 hours 20 minutes
2) Convert into seconds:
(a) 4 minutes
(b) 17 minutes
(c) 10 minutes 17 seconds
(d) 36 minutes 48 seconds
3) Convert into hours and minutes:
(a) 328 minutes
(b) 487 minutes
14
(c) 1025 minutes
(d) 1515 minutes
4) Convert the following into minutes and seconds:
(a) 258 seconds
(b) 624 seconds
(c) 1428 seconds
(d) 1870 seconds
IV. Rewrite as directed:
3m
1) Convert to 24 hours clock time:
(a) 3:00 am
(b) 5:15 am
(c) 10:42 am
(d) 8:16 pm
(e) 10:47 am
(f) 8:42 pm
(g) 4:15 am
(h) 6:00 am
2) Convert to 12 hour clock time:
(a) 5:30 hours
(b) 11:58 hours
(c) 16:28 hours
(d) 17:00 hours
(e) 21:59 hours
(f) 15:44 hours
(g) 18:38 hours
(h) 22:17 hours
V. Rewrite as directed:
4m
1) Add:
(a) 3 hours 28 minutes and 7 hours 10 minutes.
(b) 4 hours 15 minutes and 6 hours 25 minutes.
(c) 9 hours 11 minutes and 12 hours 38 minutes.
(d) 12 hours 10 minutes and 5 hours 55 minutes.
(e) 7 hours 42 minutes and 5 hours 21 minutes.
2) Subtract:
(a) 2 hours 5 minutes from 11 hours 20minutes.
(b) 7 hours 20 minutes from 15 hours.
(c) 10 hours 35 minutes and 20 hours 10 minutes.
(d) 17 hours 32 minutes from 18 hours 12 minutes.
3) A train starts from Delhi at 8:30am and reaches Firozabad in 5 hours 25 minutes. At
what time does the train reach Firozabad.
4) My school starts at 7:30am and closes at 2:00pm. How much time do I spend in
school?
15
5) Aarushi completed her homework in 25minutes. She played for 1 hour 10 minutes and
watched her favourite cartoons for 45 minutes. How much time did she spend in all?
Lesson – Calendar (Time)
I. Fill in the blanks: 1m
1)
2)
3)
4)
___________________ is the system of organizing all dates of a year.
A normal year has _____________ days.
Every ______________ year is called a leap year and has ___________ days.
A Leap year is a multiple of _________________
II. Tick the correct answer: each 2m
1) 11 minutes to 1 is same as
a) 12:49
b) 1:11
c) 12: 59
d) 12: 11
2) 5:33 pm is same as ________________ hours in 24 hour clock time
a) 15:33
b) 05:33
c) 7:33
d) 17: 33
3) 21:22 hour denotes
a) 9:22am
b) 9:22pm
c) 8: 22pm
d) 3:22 am
4) The difference between 11 hours 20 minutes and 9 hours 27 minutes is
a) 2 hours 7 minutes
b) 2 hours 53 minutes
c) 1 hours 53 minutes
d) 1 hour 7 minutes
5) The year 2016 will have
a) 364 days
b) 365 days
c) 366 days
d) 367 days
III. Find the following years are leap years: each 3m
1)
2)
3)
4)
1956
2004
2010
1999
IV. Solve: 4m
1) Mohit went to Jaipur on 15th June 2011. He spent 25 days visiting many places. When
did he come back to Delhi?
2) Find the total number of days between 18th December 2011 and 21st March (2012)
(2012 is a leap year)
Data Handling
I. Fill in the blanks:
1m
1) The information collected in the form of numerical figures in a survey is called
____________.
2) Data gives precise, exact and ______________.
16
3) Data can be represented in different ways such as tabular form __________,
__________.
4) When we represent data using pictures it is called ______________.
II. Do as directed:
2m
1) A survey was conducted among a group of students about the subject they like most.
Read the pictograph and answer the questions that follow:
1
= 5 students
(a) Which subject is liked most? _________
(b) How many students like EVS? ________
(c) What is the number of students who like English? _________
(d) What is the total number of students who took the survey? _________
2) The following pictograph shows the number of clocks sold by a shop from Monday to
Saturday.
(a)
(b)
(c)
(d)
On which day were the minimum number of clocks sold?
How many more clocks were sold on Wednesday than on Tuesday?
How many clocks were sold on Saturday?
How many clocks in all were sold by the shop in 6 days?
III. Do as directed: 3m
1. The following information is about the different kind of programmes that children
watch on television these days.
Draw a pictograph to represent the information and answer the questions given using
17
1
= 5 children.
Now answer the questions given below:
(a) Which programme is most popular?
(b) Which programme is more popular among children: sports or movies?
(c) How many children watch the news?
IV. Do as directed: 4m
1) The bar graph given below shows the number of vehicles passing through a road
crossing in Delhi on a particular day.
Read the bar graph and answer the following questions.
(a)
(b)
(c)
(d)
What information does the bar graph represent?
When is the traffic maximum? How many vehicles pass at that period of time?
When is the traffic minimum? How many vehicles pass at that period of time?
Use >, < or = to complete the statement:
Number of vehicles between 9:10am.
Number of vehicles between 12pm.
2) The bar graph given below shows the various activities in which students participated
during the summer holidays.
(a) What information does the bar graph represent?
(b) Which activity was the most popular? How many students participated in the
activity?
(c) How many students took part in public speaking?
(d) What was the total number of students who participated in various activities?
18
(e) Write true or false:
The number of students who took part in singing was twice the number who took
part in drama.
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