MODERN SCHOOL JAIPUR
ANNUAL EXAMINATION (2022-23)
CLASS
- EIGHTH
M.M.
80
SUBJECT- MATHEMATICS
DURATION - 2 V2 HOURS
Instructions:
1. This Question Paper has 5 sections A-E.
2. Section A consists of two parts. Both parts have 10 questions of 1 mark each.
3. Section Bconsists of 5questions of 2marks cach. (internal choice given)
4. SectionC consistsof 6 questions of 3marks each. (internal choice given)
66 M
5. Section D consists of 4 questions of5 markseach. (internal choice given)
6. Section E has 3 case based integrated units of assessment (04 marks each) with sub-parts of the
values of 1, 1 and 2 marks each respectively.
7. Draw neat figures wherever required. Take = 7 wherever required if not stated.
8. Write complete statements to show your reasoning.
9. Rough work to be done on the same sheet.
SECTION A
Section Aconsists of twoparts. Both parts have 10 questions of 1 mark each.
Q.1
Multiple choice questions :
When a number is added to itself, it becomes 24. What is the number?
iii) 4
iv) 21
i) 2
ii) 12
jOM
The age of the father is three times the age of the son. If the age of the son is
15 years, then the age of thefather is:
i) 50 years
ii) 55 years
iii) 40 years
hUTH DEVOT45 yeats
A persongot a 10% increase in his salary. If his salary was Rs. 50000, then the
new salary is:
i 55000
iii) 60000
ii) 65000.
iv)45000
An item marked at Rs. 840 is sold for Rs. 714. The discount % is :
i) 10%
ii) 15%
ii) 20%
iv) 25%
What will be the time period if interest is calculated half yearly?
iii)) half as much as the number of
i) twice as much as the number of
given years
iv) none of these
given years
ii) same as the number of given years
1
|2 G
Find the valueof xfrom the adjoining figure.
125°
1250
i) 70°
iii) 125°
ii) 110°.
iv) 100°
The quadrilateral whose diagonals are perpendicular to each other is:
i) parallelogram
ii) trapezium
ii) rectangle
iv) rhombus
The area of the given below figure is:
R
TE 5.5 cm
P
i) 45 cm?
iii) 11 cm².
ii) 49 cm?
iv) 6.8 cm2
In the grouped data, each of the group is called:
i) collection of data
ii) frequency
ii) class interval
iv) grouped frequency distribution
The point
(UTH DFVO
i) near to X-axis
ii) near to origin
Q.2
iv)equidistant from x-axis and y-axis
Fill in the blanks:
Ifx is an even number, then the next even number is
2:5 can be written as
&M
%.
The time after which the interest is added each time to forma new principal is
called
Theadditional money paid by the borrower to the moneylender in lieu of the
money used is called
ABCD is a rectangle and AC &BD are its diagonals. If AC = 10cm, then BD is
360
LA and zB are two adjacent angles of a parallelogram. If zA =70°, then
2B=
125
26-sl
(6
125
2
A regular polygon with bstaes
Caliea
26
Cm3
1litre =
If acoin is flipped in the air, then the probability of getting a tail is
The point (4,0) lies on
axis.
SECTION B
Section Bconsists of 5 questions of 2 marks each.
2003 at a rate of 5% per annum
The population of a place increased to 54,000 in
(i) Find the population in 2001.
(ii) What would be its population in 2005?
OR
the rate of 20% per
/Find the compound interest on 320000 for one year at
annum,if the interest is compounded quarterly.
Q.4
The sum of the interior angles of a polygon is 30600. Find the
number of sides of
the polygon.
Q.5
Suppose 60% of students in a college are girls. If the number of boys is 2040,
find
the number of students in the college.
Solve:
2x
3
7x
+1=-
15
+3
The ages of Rahul and Haroon are in the ratio 5:7. Four years later the sum of
their ages will be 56 years. What are their present ages?
UTH
DEVE DEDICATt
The width of a rectangle is two-thirds of its length. If the perimeter is 180 m, find
the dimensions of the rectangle.
SECTION C
SectionCconsists of 6questions of 3 marks each.
The digits of a two-digit number differ by 3. If the digits are interchanged, and
13M
the resulting number isadded to the original number,we get 143. What can be
the original number?
The marked price of a cooler is Rs. 12,000. The shopkeeper offers a discount of
(20y
10%. Find the amount that a customer has to pay, if 8% VAT is added.
Plot the points A(4, 0), B(4, 2),C(4, 6), D(4, 2.5) on agraph sheet. Verify if they lie
Se?3a2,
B32009
on a line.
2
Construct a rhombus whose diagonals are 4.5 cm and 6.2 cm.
3
(80
sjS)
2 ind themeasure of angles x, y and z in the following figure :
se
OR
In the above figure both RISK and CLUE are parallelograms. Find the value of x.
E
K
S
10.
R
C
Q3
Meenu bought two fans for 1200 each. She sold one at aloss of 5% and the other
at a profit of 10%. Find the selling price of each. Also find out
the total profit or
loss.
OR
A shopkeeper offers 10% off-season discount to the customers and still makes a
profit of 26%. What is the cost price for the shopkeeper on a pair of shoes marked
at 1120?
SECTION D
SectionD consists of 4questions of5 marks
g
Draw a line graph for the following table of values, with suitable scales on the ta
axis.
Distance travelled by a car :
Time (in hours)
6:00
7:00
8:00
9:00
Distance (in kms)
80
120
160
40
a) How much distance did the car cover during the period 7:30 am to 8:00 am?
432
b What was the time when the car had covered adistance of 100km since its
start?
Four cubes,each of edge 9 cm, are joined as shown:
Write the dimensions of the resulting
i9 cm
cuboid obtained.
9 cm
b/ Find the total surface area.
Calculate the volume of the resulting cuboid.
Cm
9 cm
9 cm
9 cm
8
86
Q.16 The number of students adnitted in different faculties of a college are given
below:
Commerce Arts Science Law
Faculty
Numberof students
1000
1200
300
450
Computer Total
650
3600
Represent the above information using a pie chart.
OR
Ages of 18 teachers in aschool are as follows:
32,
41,
28,
54,
32,
28,
31,
40,
36,
35,
31,
43,
26,
29,
37,
33,
31,
33
a) Prepare a frequency distribution table by taking class interval as 25 - 30, etc.
b) Draw a histrogram for the above distribution.
c) If the retirement age is 60 years, then how many teachers will retire in next
10years?
Construct aquadrilateral ABCD where AB = 4.5 cm, BC = 5.5 cm, CD = 4 cm,
AD =6 cm and AC =7 cm.
OR
Construct aquadrilateral MIST where MI =3.5 cm, IS =6.5 cm, ZM=75°,
2|=105° and ZS= 120°,
SECTION E
Section E has 3 case based integrated units of assessmnent (04 marks each) with
sub-parts of the values of 1, 1and 2marks each respectively.
Q.18
Acompany packages its milk powder in cylindrical containers. The base of these
containers has a diameter of 16.8 cm and has a height of 20.5 cm. The company
N
places a label 1.5 cm from the top and bottom around the curved surtaces of the
container,as shown below:
1.5
On the basis of above information, answer the following questions:
(i)
(ii)
(ii)
What is the height of the label?
Write the formula for the total surface area of the container.
Find the area of the label.
OR
Calculate the volume of the container.
8
Q19
The below given pie chart shows the marks scored in an examination by a
student in Hindi, English, Mathematics, Social Science and Science. If the total
marks obtained by the students were 540, answer the following questions:
Mathematics
S.cien
90
Science
80°
70
Hindi
In which subjects did students score maximum marks and minimum
marks?
How many more marks were obtained by the student in Mathematics
than in English?
(iii)
In which subject did the student score 105 marks? (Show all the
calculations)
OR
Examine whether the sum of the marks obtained in Social Science and
Mathematics is more than that in Science and Hindi or not.
Abha invests ?8000 at acertain rate for 3years compounded annually. She finds
at the end of one year it amounts to 9200.
On the above information, answer the following questions
(1)
(ii)
(iii)
CATE
What will be the rate of interest?
Find the interest accured in second year.
Calculate the amount at the end of the third year?
OR
In what time 8000will amount 8820at 5% p.a. compounded annually?
END OF PAPER
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