Khaitan Public School, Sahibabad
Holiday Home Work -2016
Class : X
Subject : Maths
1. For the following data, find mean by all three methods, i.e, direct method,
assumed mean method and step deviation method, median, mode, less
than ogive and more than ogive:No of mangoes
No of boxes
50-52 53-55 56-58 59-61 62-64
15
110 135 115 25
Note : Do Question no 1 on A4 sheets and staple them.
2. Draw three graphs for following pair of equations:(a) 2x – y =1 & x + 2y = 3
(b) 2x + 4y = 10 & 3x + 6y = 12
(c) 3x – y = 2 & 9x- 3y = 6
Note : The values to make the graphs should be on three different A4
sheets and graphs on three different graph papers, duly stapled.
3. Do the following worksheets also on A4 sheets.
Worksheet-Linear Equations in Two Variables
Level - 1
Form linear equations in two variables (as directed) for the following:
1. The cost of pen is 3 more than twice the cost of pencil.(Take cost of pen as x and cost
of pencil as y) ._________________________________________________________
2. One number exceeds the other by 7. (Take the numbers as x and y).
_____________________________________________________________________
3. Present age of Ram is thrice the present age of Shyam. (Take present age of Ram as x
and that of Shyam as y). _________________________________________________
4. 5 years ago, the age of son was 3 less than half the age of father.(Take present age of
son as y and present age of father as x).
Age
Person
Present age
5 years ago
Father
Son
_____________________________________________________________________
5. 10 years later, age of father will be twice the sum of the ages of his two sons.(Take
present age of Father as y and sum of the present ages of his two sons be x).
Age
Person
Present
10 years later
Father
.
Sum of ages of 2 Sons
_____________________________________________________________________
6. After 5 years age of mother will be 4 more than twice the age of her daughter. (Take
the present age of mother as y and that of her daughter as x years.
Age
Person
Present
After 5 years
Mother
Daughter
_____________________________________________________________________
7. The present age of a person A will be 6 less than age of his friend B 3 years later.
(Take present age of A as x and present age of B as y years).
Age
Person
A
B
Present
After 3 years
____________________________________________________________________
8. Taxi fare charges in a city are as follows: There is a fixed charge and other charge
depends on subsequent distance. A person travels 10 Km and pays Rs. 200(Take
fixed charge as x and charge per Km be y).
First solve this:
Charge(Rs.)
Fixed charge
Charge/Km
1 Km
10
5
5 Km
7
8
10 Km
10
15
10 Km
x
y
Total Charge
Distance
____________________________________________________________________
9. The auto rickshaw fare in the city is charged Rs. 10 for the first Km and at the rate of
Rs 4 per kilometer for the subsequent distance covered. (Take total fare as y and
distance covered as x).
Charge(Rs.)
Fixed charge
Charge/Km
Total Charge
Distance
(For First Km)
(For subsequent Km)
(y)
2 Km
4
5
7 Km
7
8
9 Km
10
15
x Km
10
4
_____________________________________________________________________
10. Taxi fare in a city is as follows: For the first kilometer, the fare is Rs. 8 and for the
subsequent distance, it is Rs. 5 per Km. (Take distance covered as x Km and total fare
as Rs. y).
Charge(Rs.)
Fixed charge
Charge/Km
Total Charge
Distance
(For First Km)
(For subsequent Km)
(y)
1 Km
10
5
5 Km
7
8
10 Km
10
15
x Km
8
5
___________________________________________________________________________
11. A shopkeeper gives books on rent for reading. She takes a fixed charge for first two
days and an additional charge thereafter. Latika paid Rs 22 for a book kept for 6
days. ( Take fixed charge as x and additional charge as y).
Charge(Rs.)
Fixed charge
Additional Charge
No. of days
(For First 2 days)
(For other days)
1
10
5
5
7
8
10
10
15
6
x
y
Total Charge
____________________________________________________________________
12. Length of a rectangle exceeds twice its breadth by 18. (Take length as y and breadth
as x).
_____________________________________________________________________
13. The difference of two numbers is 3. (Take the numbers as x and y).
____________________________________________________________________
14. One number is 3 less than the other. (Take the greater number as x and smaller
number as y)
____________________________________________________________________
15. Opposite angles of a cyclic quadrilateral are
and
.
_____________________________________________________________________
16. Ten percent of red balls were added to twenty percent of blue balls and the total
was 24.(Take total number of red balls as x and total number of blue balls be y).
_____________________________________________________________________
_____________________________________________________________________
17. Three times the number of red balls exceed the number of blue balls by 20. (Take
total number of red balls as x and total number of blue balls as y).
_____________________________________________________________________
____________________________________________________________________
18. Yash scored 40 marks in a test, getting 3 marks for each correct answer and losing 1
mark for each wrong answer. (Take number of correct answers as x and number of
wrong answers as y).
____________________________________________________________________
19. Anil scored 50 marks in a test, getting 4 marks each for a correct answer and losing 2
marks for each wrong answer.(Take number of correct answers as x and number of
wrong answers as y).
_____________________________________________________________________
20. The cost of 4 pens and 4 pencil boxes is Rs. 100. (Take cost of 1 pen as x and cost of 1
pencil box as y).
_____________________________________________________________________
21. A fraction becomes when 1 is subtracted from the numerator. ( Take numerator as
x and denominator as y).
___________________________________________________________________
_____________________________________________________________________
22. A fraction becomes if 8 is added to the denominator. ( Take the numerator as x and
denominator as y).
___________________________________________________________________
____________________________________________________________________
Worksheet-Linear Equations in Two Variables
Level - II
Form linear equations in two variables (as directed) for the following:
1. The digits of a two digit number have the sum 12. (Take the ones place digit as x and
tens place digit as y).
____________________________________________________________________
2. A two digit number is 56. (Take ones place digit as x and tens place digit as y).
Ten’s Place
Unit’s place
7
2
9
2
3
5
x
y
Number formed
Reversed Number
`
____________________________________________________________________
3. A number formed by reversing the digits is 72. (Take ones place digit as x and tens
place digit as y).
_____________________________________________________________________
4. The sum of a two-digit number and the number formed by reversing the digits is 66.
(Take
ones
place
digit
as
x
and
tens
place
digit
as
y).___________________________________________________________________
_____________________________________________________________________
5. Jamila sold a table and a chair for Rs. 1050 thereby making a profit of 10% on the
table and 25% on the chair. (Take the cost of one chair as Rs. x and cost of 1 table as
Rs. y).
____________________________________________________________________
6. Susan invested certain amount of money in two schemes A and B, which offer
interest at the rate of 8% per annum and 9% per annum respectively and got total
interest of Rs. 500 (Take investment in scheme A as x and investment in scheme B as
y)
_Scheme A
Scheme B
_1000
5000
_2500
4000
_x
y
Interest(A)
Interest(B)
Total interest
_
____________________________________________________________________
7. The area of rectangle is 55 square units. (Take the length as x and the breadth as y).
_____________________________________________________________________
8. If length of a rectangle is reduced by 4 units and breadth is increased by 8 units then
the area becomes 64 square units.( Take the length as x and the breadth as y).
Actual
Length
Breadth
x
y
Area
Changed Dimensions
____________________________________________________________________
9. In a triangle ABC , angle B is 2 times the sum of angle A and C. (Use angle sum
property
and
take
angles
A
and
C
as
x
and
y
respectively).
_____________________________________________________________________
____________________________________________________________________
10. 8 men and 6 women can together finish a work in 4 days. (Take time taken by 1 man
alone to finish the work as x days and time taken by 1 woman alone to finish the
work as y days).
Time taken by Time taken by 1 Portion of work Portion of work Total work
1 man to finish woman to finish completed in 1 completed in 1 done in 1
the
work the work (days)
day by 1 man
day
(days)
by
1 day
woman
4
5
7
6
X
y
____________________________________________________________________
11. 3 men and 3 woman can together finish a work in 7 days. (Take time taken by 1 man
alone to finish the work as x days and time taken by 1 woman alone to finish the
work as y days).
____________________________________________________________________
12. Two taps of different diameters together take 4 hrs. to fill a tank. (Take time taken
by
taps
to
fill
the
tank
alone
be
x
and
y
hours).
_____________________________________________________________________
_____________________________________________________________________
13. A motor boat can travel 30 Km upstream (boat is moving against the direction of
movement of water/stream) in 7 hours.(Take the speed of motor boat in still water
as x km/h and speed of stream as y km/h)
Remember speed of boat in still water should be greater than speed of water so
that boat can move upstream
Speed of boat in Speed
of Speed
still water(Km/h)
stream(Km/h)
6
4
8
5
x
y
Speed
upstream(Km/h)
downstream(Km/h)
_____________________________________________________________________
14. A motor boat can travel 30 Km downstream (boat is moving in the direction of
movement of water/stream) in 4 hours.(Take the speed of motor boat in still water
as
x
km/h
and
speed
of
stream
as
y
km/h)
_____________________________________________________________________
15. Roohi travels 300 km partly by bus and partly by train. She takes 4 hours if she
travels 60 Km by train.
(Take speed of train as x km/h and speed of bus as y Km/h)
16. Deepa has 2 rupee coins and 50 paise coins in her purse and value of all the coins is Rs.
76.50. (Take number of 2 rupee coins is x and number of 50 paise coins is y)
_________________________________________________________________________