Mathematics Class: VI Term: III

                                              Term: III
Time:  2 hours 30 mins         Total Marks: 100
Subject: Mathematics                                                                           Class: VI
Name: ______________________                                      Date: ____________

Questions 1 2 3 4 5 6 7 Total Marks
Marks Obtained
Instruction:
⦁ Attempt all Questions.
⦁ Overwritten/re-written answers will be considered wrong.
⦁ Use separate sheet for Subjective section.
OBJECTIVE SECTION
Time: 1: 30 hour                Marks: 60
Q.1 Circle the correct option.    /15
i. 3.5 means:
a)    b)    c)      d)   
ii. 825 out of 1100 means:
a)  25 %  b)  50 % c)  75 % d)   100 %

iii. If a = 3 and b = 4 then a2 + b2 = ____________
a)   25 b)   20 c)  15 d)  10
iv. In 2y3 , 2 is known as: 
a)   like term b)   variable c)  index d)  co-efficient   
                       
v. If 3x + 4 = 2x + 4 then x = ?
a)   8 b)   2 c)  0 d)   13
vi. A right bisector always crosses the line at:
a)   300 b)  600 c)   900 d)  1200



vii. The two angles of the same measurement are called:
a)   Congruent angles b)    Concurrent angles
c)  Acute angles d)   Obtuse angles
viii. If the length of side of square is 2cm then perimeter is:
a)  2 cm b)   4 cm c)  6 cm d)    8 cm
ix. What is the surface area of cube of length 8 m?
a)   382 cm2 b)   383 cm2 c) 384 cm2 d)  385 cm2
x. How many types of a data have?
a)   Two b)   Three c)  Four d)   Five
Q.2   Complete the following sentences with the help of suitable words.     /15

⦁ A graph in which data is represented by sector of a circle is called _________________.

⦁ The solids like tennis ball and football are examples of _________________.

⦁ The measurement of boundary of a plane figure is called its _______________.

⦁ The unit of an angle is called ___________.

⦁ An open mathematical statement with “=” sign is known as an _____________.

⦁ A number or a variable can be transferred from one side to the other side by changing its sign. This operation is called __________________.

⦁ The terms having different variables or same variables with different exponents are called __________________ terms.

⦁ Sale price   ̶  Cost price = ________________

⦁ The word ___________ has been deducted from the Greek and Latin words which mean the measurement of the earth or land.

⦁ The price that we pay to purchase a thing is called ________________.



Q.3   Define the following.     /30
      (Note: Each part carries 3 marks)
⦁ Distinguish between grouped and ungrouped data.
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⦁ A water tank is 3 m long, 2 m wide and 1 m high. How many litres of the water can be stored in it?











⦁ A trapezium has 20 m and 35 m lengths of two parallel sides and its perpendicular distance is 16 m. Calculate its area.











⦁ Define line segment.
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⦁ Find the value of “m” by putting n = 2 in the given equation.









⦁ Subtract   from  .







⦁ The 60 % length of a road is 75 km. Find the total length of the road.









⦁ Find the percentage of 250 marks out of 300 marks.









⦁ If x= 2 and y = 1, then prove that  .











⦁ Construct an angle of  .













SUBJECTIVE SECTION
Time: 1 Hour        Marks: 40

Note: Attempt all questions.
Use separate sheets for subjective part.
Q. 4 (a)   Saleem bought 90 oranges at the rate of 3 oranges for Rs, 10 and sold them at        the rate of 2 oranges for Rs. 9. Find that Saleem is in profit or loss and also find        its percentage? /06

  (b)   Draw perpendicular from the point “P” to the line segment LM. Also write the steps of construction. /04
                 




Q. 5
(a) The sum of four consecutive numbers is 266. Find the numbers. /05

(b)  Simplify    /05

Q. 6 
         (a)   The edge of an iron cube is 12 cm.  Find its volume. What will it cost colour its total surface at the rate of Rs. 0.5 per sq cm? /05

(b)   A 3 m wide road is all around on the outside of a 125 m long and 60 m wide garden. Find the cost of repairing the road at the rate of Rs. 150/m2. /05

Q. 7
Construct the  , when /10
      ii.    iii.
     






Answer Key
OBJECTIVE SECTION
Q.1 Circle the correct option.   
Q. No i ii iii iv v vi vii viii ix x
Answers c c a d c b a d c a

Q.2   Complete the following sentences with the help of suitable words.    

Q. No i ii iii iv v
Answers Pie graph sphere perimeter degree equation
Q. No vi vii viii ix x
Answers transposition unlike profit geometry Cost price

Q.3   Define the following.    
⦁ The data which provides us information about individuals is called un-grouped data. The data which provides us the information about groups is called grouped data.
⦁ Answer: volume of tank = 6000 l
⦁ Answer: Area of trapezium = 440 m2
⦁ Answer: A line segment is one of the basic terms in geometry which help us in the construction of geometrical figures of different shapes and sizes. A line segment is a part of a line which has two distinct and points.
⦁ Answer: m = 5
⦁ Answer: 
⦁ Answer: 125 km
⦁ Answer: 83.33 %
⦁ Answer:  1
⦁ Students will do by themselves.

Subjective Section

Q. 4 Answers:   (a) 35 % (b) Students will do by themselves.
Q. 5 Answer:   (a) 65, 66, 67, and 68 (b)  2 (x2  ̶  y2)
Q. 6 Answer: (a)  Cost Price = Rs. 432 (b)  Rs. 171900
Q. 7 Answer: Students will do by themselves.