DELHI PUBLIC SCHOOL
CLA SS: V III
INSTRUCTIONS
Read all the questions carefully before attempting them. Write using only blue/black ink.
Duration: 2 HOURS. Avoid writing anything/ticking answers in the question paper.
Attach graph paper/map etc. (if any) in between the main answer booklet.
P RE M ID - TE RM [ P T – 1]
SUB JE CT: M A TH S
Monday. July 15. 2019
SESSION: 2019-20
333333MARKS:222370 77760
MAX. MARKS: 40
SECTION – A
1.
Solve using a suitable property. Name the properties used.
[1]
 19  29

1
19
a) 29
4
4 4
0  0 
5 5
b) 5
2.
If the diagonal of a rhombus are 10 cm and 24cm, find the length of the side of the rhombus.
[2]
1
1
x x  x7
4
6
3.
Solve
4.
1
2
A car is moving at the speed of 40 km/hr. How far will it travel in 6 hours? At this
5
3
[2]
2
point, the car is still 10 km from final destination, what is the total distance between the
3
starting point to the ending point?
[3]
SECTION – B
5.
The sum of two numbers is 120 and their ratio is 7 : 8. Find the numbers.
[1]
6.
Find four rational numbers between 2 and 3.
[2]
7.
Prove that a square is a rhombus. Give suitable reasons.
[2]
8.
The present ages of Yash and Virat are in the ratio of 3 : 2. After 6 years, the ratio of their
9.
ages are 11 : 8. Find their present ages.
[3]
Construction of quadrilateral ABCD, neat, well labeled figure.
B = 60º; A = 90 ; C = 135º
[4]
SECTION – C
10.
The four angles of a quadrilateral are in the ratio 3 : 4 : 5 : 6. Find the angles.
11.
70 coins of 2 rupees and 5 rupees are mixed in a purse. If the total value of the money in the
[1]
purse is Rs 230, find the number of each type of coins.
[2]
Page 1 of 2
DELHI PUBLIC SCHOOL
12.
13.
From a chain 11 m long, two pieces of lengths 3
3
3
m and 2 m are cut off. What is the
5
10
length of the remaining chain?
[2]
Solve the following equation:
[3]
3x  2 2 x  3
2

x
4
3
3
14.
The given figure ABCD is a parallelogram. Find the value of x°, y° and z°.
[4]
SECTION – D
15.
Find the number of sides of a regular polygon whose each exterior angle has a measure of
800.
[1]
16.
Construct a rhombus the length of whose diagonals are 7 cm and 9 cm.
[2]
17.
Construct a quadrilateral SAME where SA = 3cm, AM = 4cm, ME = 2cm, ∠A = 110° and ∠M = 100°.
[2]
18.
Prove that the diagonals of a parallelogram bisect each other.
[3]
Page 2 of 2
DELHI PUBLIC SCHOOL
CODE: 8927
INSTRUCTIONS
Read all the questions carefully before attempting them. Write using only blue/black
ink. Duration: 3 HOURS. Avoid writing anything/ticking answers in the question
paper. Attach graph paper/map etc. (if any) in between the main answer booklet.
MI D-TERM ASSESSMENT
SUB JE CT: M A TH S
Friday. September 27. 2019
NAME OF THE STUDENT: ____________________________________CLASS/SEC.__________
NAME OF THE INVIGILATOR: ________________________________SIGNATURE: ________
SESSION: 2019-20
MAX. MARKS: 80
SECTION – A
1.
2.
3.
4.
5.
6.
7.
3
1
and
[1]
4
2
Write the generalized form of a three-digit number pqr
[1]
Find the square of 42 without actual multiplication.
[2]
2
3 7
Solve the given equation:
[2]
x  
3
5 2
1
3 1 2
What should be subtracted from     to get ?
[3]
2
4 3 5
Find the smallest number by which 17496 must be divided, so that the product is a perfect
cube. Also find the cube root of the product.
[3]
Atul purchased a bike with a marked price of Rs 210000 at a discount of 5%. If the GST is
charged at the rate of 10%, find the amount Atul has to pay for purchasing the bike.
[4]
Find two rational numbers between
SECTION – B
8.
Find the greatest number of 4 digits, which is a perfect square.
9.
10.
Find the value of A and B if
[1]
1 A
[1]
B 4
----------5 1 2
The exterior angle of a regular polygon is one fifth of its interior angle. How many sides
+
4
does the polygon have?
[2]
11.
Construct a rhombus with side 4.5cm and diagonal 6cm
[2]
12.
Find the length of a diagonal of a rectangle with dimensions 20m by 15m.
[3]
13.
Find the compound interest on Rs 48,000 for one year at 8% per annum when compounded
half yearly.
14.
Find the square roots of 3364 and 1936 and hence find the value of
15.
If
16.
[3]
0.3364  0.1936
0.3364  0.1936
[4]
5x
2x
, then find the numerical value of 2x – 7
[4]
4
3
5
A person sold two coolers for Rs. 3990 each. On selling one cooler, she gained 5% and on
selling the other she suffered a loss of 5%. Find her overall gain or loss.
[4]
Page 1 of 2
DELHI PUBLIC SCHOOL
SECTION – C
17.
Find the least possible value of A for which 90 x A is a perfect square.
[1]
18.
If the division of a number N by 5, leaves a remainder of 3, what might be the ones digit of
N?
[1]
19.
Raj makes a cuboid of plasticine of sides 15 cm, 30 cm, 15 cm. How many such cuboids will
he need to form a cube?
[2]
20.
The sum of two numbers is 95. If one exceeds the other by 15. Find the numbers.
[2]
21.
The present age of father is four times the age of his son. After 5years, age of father will
become three times the age of his son. Find their present ages.
[2]
22.
One of the diagonals of a rhombus and its sides are equal. Find the angles
of the rhombus.
[3]
23.
Construct a rectangle OKAY in which OK = 7 cm and KA = 5 cm
[3]
24.
Distance between two stations A and B is 690 km. Two cars start simultaneously from A
and B towards each other, and the distance between them after 6 hours is 30 km. If the
speed of one car is less than the other by 10 km/hr, find the speed of each car.
[3]
25.
The number of boys and girls in a class are in the ratio 7:5. The number of boys is 8 more
than the number of girls. What is the total class strength?
[3]
26.
A scooter was bought at Rs. 60000 in 2010. It value depreciated at the rate of 5% per annum.
Find its value after 2 years.
[4]
27.
There are 30 passengers in a bus, some have Rs. 5 tickets and some have Rs. 10 tickets. The
total collection from the passengers is Rs 255. Find how many passengers have tickets of
Rs.5?
[4]
SECTION – D
28.
PQRS is a trapezium in which PQ is parallel to RS. If ∠P =∠Q = 50˚, what are the measures
of the other two angles
[1]
29.
Construct a circle of radius 3.5cm. Draw a diameter and label it as PR. Construct its
perpendicular bisector. Let it meet the circle at Q and S. Join PQRS. What type of
quadrilateral is it?
[3]
30.
In parallelogram LOST, MST  40 SN  OL and SM  LT, then find the value of
STM and NSO .
31.
[4]
Construct a quadrilateral ABCD. Where AB = 3.5cm, BC = 6.5 cm A = 750, B = 1050 and
C = 1200. Also write the steps of construction.
[4]
Page 2 of 2
DELHI PUBLIC SCHOOL
CLA SS: V III
INSTRUCTIONS
Read all the questions carefully before attempting them. Write using only blue/black ink.
Duration: 2 HOURS. Avoid writing anything/ticking answers in the question paper.
Attach graph paper/map etc. (if any) in between the main answer booklet.
P OST M ID - TE RM [ P T – 2 ]
SUB JE CT: M A TH S
Monday. December 16. 2019
SESSION: 2019-20
333333MARKS:222370 77760
MAX. MARKS: 40
SECTION – A
1.
[1]
A cylinder has radius r which is equal to its height. Its volume is equal to
a)
1
 r3
4
b)
r
32
3
c)  r3
d)
r
8
3
2.
If each edge of a cube is doubled, how many times will its volume increase? Explain with a
suitable example.
[2]
3.
“The variation in one quantity brings a variation in the other quantity.”
[2]
Explain how these quantities vary with each other.
a) One side of a cuboid and its surface area
b) Speed of a vehicle and the time taken to travel if the distance is constant.
c) Price of book and the number of books that can be bought for a fixed sum of money.
d) Number of pipes to fill a tank and the time required to fill the same tank.
4.
A photograph of a bacteria is enlarged 50,000 times and it attains a length of 5 cm. Answer
the following:
[3]
a) What is the actual length of the bacteria?
b) If the photograph is enlarged 20,000 times only, what length would it attain?
SECTION – B
5.
If y varies inversely as x, and if y = 4 when x = 72, find the following:
a) The constant of variation
b) The value of y when x = 9
[1]
6.
Verify Identity (IV) for a = 4, b = 5 and x = 4
[2]
7.
The parallel sides of a trapezium are 40 cm and 20 cm. If its non-parallel sides are both
equal, each being 26 cm, find the area of the trapezium
[2]
8.
The internal dimensions of a cuboidal room in terms of length, breadth and height are
12 m x 8 m x 4 m.
[3]
a)
What is the lateral surface area of the room in terms of l , b, h
b)
Find the total cost of white washing all four walls of a room and the ceiling, if the
cost of white-washing is Rs 5 per m2.
9.
a)
b)
Simplify
Simplify
b(a-
. State the Identity used.
+ab(4ab-2 )- b(1-2b)
[4]
Page 1 of 2
DELHI PUBLIC SCHOOL
SECTION – C
50 2 2
12
a b , breadth is
abc and height is 5c [1]
3
25
10.
Find the volume of a cuboid whose length is
11.
In a hostel of 50 girls, there are provisions for 40days. If 30 more girls join the hostel, how
long will these provisions last?
[2]
12.
Simplify (3x + 2y)2 – (3x – 2y)2
13.
1
If x+ = 5 , find the value of
x
14.
As part of a survey the time spent by students on their assignments is given below:
[4]
Time(in Min)
60-80
80-100
100-120
120-140
140-160
160-180
Frequency
12
25
20
17
15
5
Draw a histogram for the above data.
[2]
(i) x2 +
1
x2
(ii) x4 +
1
x4
[3]
SECTION – D
15.
Instead of numbers, the letters of the word CHANCE were stuck on a die. Find the
probability of rolling (i) a vowel (ii) any letter except E
[1]
16.
The base of a parallelogram is ( 4 x  7) units and the corresponding height is ( 4 x  7) units.
What is the area of the parallelogram?
[2]
17.
A can reap a circular field in 4 days. B can reap half of the same field in 3 days. How many
days will A and B together take to reap the circular field?
[2]
18.
A survey was carried out to find the favourite beverage preferred by certain groups of
people. From the given piechart answer the following:
[3]
(i)
(ii)
(iii)
If 45 people like tea, how many people were surveyed?
How many people liked milk?
Which type of beverage is liked by the maximum number of people?
Page 2 of 2
DELHI PUBLIC SCHOOL
INSTRUCTIONS
Read all the questions carefully before attempting them. Write using only blue/black
ink. Duration: 3 HOURS. Avoid writing anything/ticking answers in the question
paper. Attach graph paper/map etc. (if any) in between the main answer booklet.
CODE: 8303
A NNUA L E X A M INA T ION
SUBJ ECT: MATHS
Tuesday. March 03. 2020
NAME OF THE STUDENT: ____________________________________CLASS/SEC.__________
NAME OF THE INVIGILATOR: ________________________________SIGNATURE: ________
SESSION: 2019-20
MAX. MARKS: 80
SECTION – A
1.
Is it possible to have a regular polygon each of whose exterior angle is 45°? Give reason. [1]
2.
Identify the error in the following statement and also correct it.
(5x + 7)2 = 25x2 + 49
[1]
3.
Find the area of a rhombus whose diagonals are of lengths 15cm and 12.12cm
[2]
4.
Factorize : (4x2 – 4x + 1) – 9y2
[2]
5.
Solve the following linear equation:
x  2 x 1 x  3


1
3
5
4
6.
[3]
A card is drawn at random from a well shuffled pack of 52 cards. Find the probability that
it is a
(i)
7.
King
(ii) Black card
(iii) face card
[3]
Find the smallest number that must be added to 7600 to make it a perfect square. Find the
square root of the perfect square.
[4]
SECTION – B
8.
Each side of a triangle is increased by 10 cm. If the ratio of the perimeter of the new triangle
and the given triangle is 5 : 4, find the perimeter of the given triangle.
[1]
9.
A polyhedron has 16 edges and 9 vertices. Find the number of faces of the polyhedron. [1]
10.
If
25 m  25 3  25 2
 5 24 then find the value of m.
25 5
[2]
Page 1 of 4
DELHI PUBLIC SCHOOL
11.
Draw front and top view of the given figure.
[2]
12.
Simplify 2
[3]
13.
The distribution of weights (in kg) of 100 people is given below:
(m+1) + 3m(
- 2) - 5m(m + 4) and find its value for m = - 2
[3]
Draw a histogram to represent the given data
Weight
40 – 45
40 – 45
45 - 50
50 – 55
55 - 60
60 - 65
65 – 70
10
25
27
16
10
7
5
(in kg)
Frequency
14.
Factorise:
(i)
(ii)
15.
16
+ 40xy – 81 + 25
[4]
A match-box measures 4 cm by 2.5 cm by 1.5 cm .What will be the volume of a packet
containing 12 such match-boxes. How many such packets can be placed in a cardboard box
16.
of the size 60cm by 30 cm by 24cm?
[4]
A 5m 60cm high vertical pole casts a shadow 3m 20cm long. Find the following:
[4]
a)
Length of the shadow cast by another pole 10m 50cm high.
b)
The height of a pole which casts a shadow 5m long.
SECTION – C
17.
Riya takes 20 minutes to reach her school if she goes at a speed of 6 km/h. If she wants to
reach the school in 24 minutes, what should be her speed?
18.
19.
varies inversely as y, and also y = 60 when x = 1.5 . Find x when y = 4.5.
[1]
[1]
How many cubic meter of earth must be dug to construct a well 10m deep and 7m in
diameter.
[2]
Page 2 of 4
DELHI PUBLIC SCHOOL
 3 
3
Given x      
7
 7 
5
20.
2
5

 Find the value of x -2 and express the result in power notation as

a positive exponent.
[2]
21.
Factorize:-
[2]
22.
Find a Pythagorean triplet in which the smallest number is 12.
[3]
23.
The following graph shows the temperature chart of a patient on a particular day.
Use the graph to answer the following questions:-
[3]
a) At what time is the temperature the lowest?
b) What is the temperature of the patient at 10:00 hours?
c) At what time the temperature is 100°F?
24.
25.
26.
In a quadrilateral ABCD, ∠A = 55º and ∠B = 85º. If ∠C : ∠D = 5 : 6 find ∠C and ∠D.
[3]
students leave the hostel. How long the remaining food will last?
[3]
There are 100 students in a hostel. Food provision for them is for 30 days. After 10 days, 20
Divide Rs 1380 among three friends Babita, Ahmed and John such that Ahmed gets 5 times
as much as Babita and Ahmed’s share is 3 times John’s share. Find the share of each one of
them.
27.
[4]
Find the volume of a right circular cylinder whose curved surface area is 2640 cm 2 and the
circumference of the base is 66 cm.
[4]
Page 3 of 4
DELHI PUBLIC SCHOOL
SECTION – D
28.
Verify Euler’s formula for the following 3-D figure:
29.
[1]
The figure given below shows the adjacent sides of the
picture frame of outer dimensions 24 cm x 28 cm and inner
dimensions 16 cm x 20 cm.
a) Find the area of each section of the frame, if width of
each section is same.
b) Find the total area of the frame
c) Find the area of the picture.
30.
[3]
On a particular day, the exchange rate of one dollar is Rs 70. Draw a linear graph to show
the exchange rate of dollars in terms of rupees from 1 dollar to 8 dollars. From the graph,
find the value of
a) 5 dollars in terms of rupees
b) 8 dollars in terms of rupees
c) Rs 490 in terms of dollars
31.
d) Rs 350 in terms of dollars
[4]
There are 900 creatures in a zoo as per the table given below:
[4]
Kind of
Birds
Reptiles
Beasts
creatures
No of
Water
Others
animals
125
50
150
175
400
creatures
Represent the above data in a pie-chart.
Page 4 of 4