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Chapter – 15 (Introduction To Graphs) class 8th
Chapter – 15 (Introduction To Graphs)
CLASS – VIII (
MATHS)
Very Short Answer Type Questions ( 1
Mark)
Q1. (o,
y) are the co-ordinates of a point lying on which of the following?
(i) origin (ii) x-axis (iii) y-axis (iv) none of these.
Q2.
The point (3, 2) is nearer to:
(i) x-axis (ii) y-oxis (iii) origin (iv) none of these.
Q3. The
point (–5, 6) is nearer it:
(i) x-axis (ii) y-oxis (iii) origin (iv) none of these.
Q4. The
point (–3, –3) is
(i) nearer to x-axis (ii) y-axis (iii) near to origin (iv)equidistant from x-axis and y-axis.
Q5. The
point (0, 4) lies on which of the following:
(i) x-axis (ii) y-axis (iii) origin (iv) none of these.
Long Answer Type Questions ( 3
Mark)
Q6. Draw the points
(5, 4) and (4, 5). Do they represent the same point?
Q7. Draw a line passing through (2, 1) and (1,
2). Find the coordinates of the points at which this line meets the x-axis and
y-axis.
(i)
What is the distance between town A and town D?
(ii)
What did the car start from town A?
(iii)
Where did the car stop and for what duration?
(iv)
How long did it take to go from town C to town D?
Very Long
Answer Type Questions ( 4
Mark)
Q8. Draw a linear graph for the following
data:
Month May June July August
Rainfall.
(in
cm) 5 7 4 6
Q9. Plot the points on a graph: A(4. 9); B(6, 0);
C(7, 7); D(2, 4)
Q10. Plot the points A(4, 3).
B(4, 0), (4, �2), (4, 6) and join them. Do they lie on the same line?
Worksheet for class VI
WINTER HOLIDAY HOMEWORK
WORKSHEETS
CHAPTER : DECIMALS
1. Vijay
bought a 9 kg of fruits. Out of this 2 kg 600g were apples, 3 kg 45 g were
mangoes and rest were melons. Find the quantity of melon purchased by him ?
2. Aman
bought 4 kg 500 g of rice, 3 kg 30 g flour and 1 kg 705 g of sugar. Find the
total mass of his purchase.
3. Find
the sum of : (a) 650 km 900m ,325 km 96m , 39 km 380 m.
(b)
58 l 585 ml, 7 l 75 ml, 20 l 600 ml , 14 l 740ml.
4. Subtract : (a) 109 m 5 cm from 356 m 99 cm
(b) 46. 95 from 202
5. Write (i) 0.252 and (ii)
25.5 as fraction in the lowest term.
6. Express (i) 500 + 20 + 3 + 
and
(ii) 45 + 
as a decimal.
and
(ii) 45 + as a decimal.
7. Express using decimals as directed :
(a) 10 cm 2 mm in cm (b) 8293 g
in kg (c) 2 m 2 cm in cm
CHAPTER : MENSURATION
1.
How
many square tiles of side 16 cm will be required to pave the floor of a
rectangular room 6.4 m X 5 m?
2.
A room
is 15 m long and 9.5 m wide. A square carpet of side 1 m is laid on the floor.
How much area is left uncarpeted ?
3.
Find
the perimeter of a rectangular play ground whose area is 3600 sq m and length
is 90 m.
4.
The
area of a square park is the same as that of a rectangular park . If the side
of the square park is 60 m and the length of the rectangular park is 90 m ,
find the breadth of the rectangular park.
5.
Find
the cost of fencing a rectangular park of length 225 m and breadth 150 m at the
rate of Rs. 12 per metre.
6.
The
length and breadth of a rectangular field are in the ration 4 : 3. If its
perimeter is 210 m , find its dimensions.
7.
By
splitting into rectangles, find the area :
CHAPTER
: INTEGERS
1.
Find
the value of : (-17) + (-85) – (-95) + (-25)
2.
Rashmi
deposited Rs.5890 in her account on Monday and then with drew Rs.2394 on
Tuesday. Next day she deposited rs.2155. what was her balance on Thursday?
3.
Use
appropriate symbol (< or > or = ) to fill in the blank:
(-56)
– (-69) ___________ (-76) + (55)
4.
Subtract
the sum of 139 and (-157) from the sum of (-272) and 136.
5.
The
sum of two integers is 85. If one of them is (-95),find the other.
6.
Draw a
number line and answer the following questions:
a)
Starting
from 7 on the number line, in which direction and how many steps have to be
moved to reach -3?
b)
Which
number is reached on the number line if 9 steps are taken to the right of -3?
7.
a)
Find the sum of : (-5489) and 10000
b)find
the additive inverse of (-156)
c) find
the successor and predecessor of : (-47)
d) subtract 2750 from (-247).
e) using
number line, add (-11) + 5.
CHAPTER
: FRACTIONS
1.
Reduce
the fraction 
into simplest form
into simplest form
2.
Compare
the fraction : 
3.
Anuja
reads 40 pages of a book containing 120 pages while Leena read 
of the book. Who read more?
of the book. Who read more?
4.
Arrange
the following fraction in descending order : 
5.
Simmy
bought
m of cloth and used up 1
m of cloth to stitch a dress for himself. How
much cloth is left with her?
m of cloth and used up 1 m of cloth to stitch a dress for himself. How
much cloth is left with her?
6.
Find
the sum of : 1
7.
Simplify
: 4
8.
Subtract the sum of 3
and 5
from the sum of 4 and 7
and 5 from the sum of 4 and 7
CHAPTER
: DATA HANDLING
1.The
sales of bread loaves in a shop on various days of the week are as follows:
|
Day
|
Monday
|
Tuesday
|
Wednesday
|
Thursday
|
Friday
|
Saturday
|
Sunday
|
|
No.of Bread loaves sold
|
75
|
100
|
100
|
125
|
75
|
50
|
100
|
Prepare a pictograph showing the sale of
bread loaves using symbol J
= 25 bread loaves and answer the following questions:
a)
On
which day were the minimum number of bread loaves sold?
b)
On
which day were the maximum number of bread loaves sold?
c)
If one
carton could carry 25 bread loaves in it, how many cartons were used in the
entire week.
2.
Various modes of transport used by 1500 students of a school are as follows:
|
Mode of Transport
|
Car
|
Bicycle
|
Private Bus
|
Walking
|
School Bus
|
|
Number of Students
|
280
|
150
|
300
|
120
|
650
|
Represent
the data by a bar graph.
3.
Vinita threw a dice 40 times and noted the following numbers appearing with
each throw:
1,2,5,6,6,2,5,4,1,6,3,5,2,4,6,1,5,5,6,1,1,3,3,2,5,3,4,5,5,6,5,1,6,2,2,5,3,4,1,5.
Make a
table and enter the data using tally marks. Find
a)
The
number that appeared the minimum number of times.
b)
The
number that appeared the maximum number of times.
c)
The
numbers that appeared an equal number of times.
4.
Following
are the average marks of a class in five subjects. Draw a bar graph to
represent the data.
|
English
|
Mathematics
|
Science
|
Social Science
|
Language
|
|
65
|
89
|
78
|
71
|
56
|
CHAPTER
: RATIO AND PROPORTION
1.
The
cost of 7 kg of mangoes is Rs. 434. How many kg of mangoes can be purchased for
Rs. 341?
2.
15
metres of silk cloth can be bought for Rs. 3840. How many metres of silk cloth
can be purchased for Rs. 7936?
3.
A
train travels 650km in 5 hours.
a.
How
much distance will it cover in 12 hours?
b.
How
long will it take to travel 975 km?
4.
Are
the ratios in proportion:
a.
10
minutes : 1 hour and 6 hours : 36 hours
b.
25
days : 1 year and 60 days to 2 years
5.
Divide
30 stamps between Malti and Anjali in the ratio 3 : 2 .
6.
Jaiveer
earns Rs. 7500 per month. If his monthly savings is Rs. 1200, find the ratio of
a.
His
income to his savings
b.
His
income to his expenditure
c.
His
expenditure to his savings
7.
Express
the ratios on their simplest form:
a.
3
weeks : 35 days
b.
250 :
375
c.
3 km
200 m to 1640 m.
CHAPTER
: ALGEBRA
1.
Taking
Priya’s present age as ‘x’ years, answer the following questions:
a.
What
will be her age 8 years from now
b.
What
was her age 5 years ago
c.
Priya’s
grand uncle is 6 times her age. What is the age of her grand uncle
d.
Priya’s
grandmother is 2 years younger that her grand uncle. What is her grandmother’s
age
e.
Priya’s
father is 7 years more than 3 times Priya’s age . What is her father’s age
2.
Pick
out the solution from the values given in the bracket. Show that the other values
do not satisfy the equation.
a.
7p =
84 (10,12,15)
b.
M – 2
= 0 ( 2, -2, 0)
3.
Write
the algebraic expressions for the following :
a.
X
taken away from 9
b.
Twice
a increased by b
c.
Half
of a number y decreased by 7
d.
Y
decreased by 11
4.
Gargi
is 24 years younger than her mother. What is Gargi’s age in terms of her
mother’s age.
5.
The
side of a rhombus is denoted by l. Express the perimeter of the rhombus.
6.
State
which of the following are equations:
a.
P - 3
> 7
b.
5 =
(10 x 2 - 5 x 3)
c.
14= x
+ 3
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