G .M .
Academy
HALF YEARLY EXAMINATION
Session – 2024-25
Class- 7
Subject -Mathematics
Total marks -80
Time- 3:00
A-Tick the correct option: (1×10=10)
1- Linear pair angles are also
a) Complementary angles
b) Supplementary angles
c) Equal angles
d) Adjacent angles
2- The angles x and 90°-x are _______
a) Supplementary angles
b) Vertical opposite angles
c) Complementary angles
d) Adjacent angles
3- Which of the following angles cannot be an interior
angle of any convex polygon?
a) 1°
b) 90°
c) 183°
d) 179°
4- Reflex angles are lies between
a) 180° to 360°
b) 90° to 180°
c) 0° to 90°
d) 180° to 270°
5- Two parallel lines have
a) A common point
b) Two common point
c) No common point
d) Infinite common point
6- The number of times a particular observation
occurs is called its
a) Data
b) Frequency
c) Range
d) Information
7- Mode of the data : 22,23,27,22,25,26,23,22 is
a) 22
b) 23
c) 27
d) 25
8- Which of the following integer has the greatest
value?
a) -11
b) -89
c) -8
d) -6
9- Find the predecessor of the successor of -110
a) -111
b) -108
c) -112
d) -110
10- The additive inverse of -45 is
a) 45
b) -45
c) 46
d) -44
B- Fill in the blanks : (1×5=5)
1- Three or more points which lie on the same line
are called _______
2- The sum of any two sides of a triangle is always
______ than the third side.
3- The maximum value of the probability of an event
is ______
4- A fraction whose denominator is any of the
numbers 10,100,1000 etc, is called _________
5- ______ is an integer which is neither positive nor
negative.
C- Write true and false and also correct the statement
which is false: (1×5=5)
1- If the two parallel lines are intersected by
transversal then alternate interior angles are
equal.
2- The solution of the equation, 2(x-6)=20 is x=4.
3- Probability is always greater than 1.
4- When the number of negative integers in a product
is odd, the process is negative.
5- Product of two proper fractions is greater than or
equal to 1.
D- Short type questions: (2×10=20)
1- If angles of a linear pair are equal, then find each
angles.
2- Two complementary angles differ by 16° then find
the angles .
3- Two angles of a triangle are of measure 75° and
35°. Find the measure of the third angles.
4- If 3(x+5)+16=5(x+14)-21 then find x.
5- If the mean of 6,5,7,p and 10 is 9 , find the value
of p.
6- What is the probability of choosing a vowel from
the alphabet?
7- The cost of 28 toys of the same kind is 3462.20 .
Find the cost of each toy.
8- Find the value of x: |2x-5|=1
9- Find the value of k if (3,4) is a solution of the
equation 5x-2y=k.
10- If (3x+4) and (x-20) are supplementary angles,
find x.
E- Long Answer type questions. (4×10=40)
1- In the figure, EF is a line through A and parallel to
the sides BC of triangles ABC. Find the value of x
and use that to find angles EAB and FAC.
2- In the given figure find the values of x and y , if
QS= QR
3- At a fair in shooting at a mark , a man receives 25
paisa if he strikes it and loses 10 paisa if he misses
it. He has 40 shots and has to pay 50 paisa . How
many times did he hit the mark?
4- A bag contains 5 red balls and some blue balls . If
the probability of drawing a blue ball is double that
of a red ball , then find the number of blue balls in
the bag.
5- The mean of 7 numbers is 25 . If one more number
is included, mean of the new set of numbers
becomes 27. Find the included number.
6- In the given figure, if AB and CD are straight lines
and angle COE=90° , then find the value of the
angles x , y and z.
7- The difference between two numbers is 16. If one-
third of the smaller number is greater than one-
seventh of the larger number by 4 , then what are
the two numbers?
8- The median of the observation 11,12,14,18,x+2,
x+4 ,30,32,35,41 arranged in ascending order is
24. Find the value of x.
9- An exterior angle of a triangle is 100° and one of
the interior opposite angles is 35°. Find the other
two angles of the triangle.
F- Case based question: (4 Marks )
A cow grazes grass at 10 metre square per hour. A goat
grazes grass at 5 metre square per hour . Buffalo grazes
grass at 15 metre Square per hour . The cow grazes for
3 hours, the goat grazes for 2 hours and the Buffalo
grazes for 3.5 hours
1- How much area is covered by the cow?
a) 20 metre square
b) 30 metres square
c) 45 metre square
d) 35 metre square
2- How much area is covered by the goat?
a) 10 metre square
b) 20 metre square
c) 30 metre square
d) 40 metre square
3- How much area is covered by the buffalo?
a) 375 metre square
b) 625 metre square
c) 525 metre square
d) 52.5 metre square
4- Which animal grazes the highest?
a) Goat
b) Cow
c) Buffalo
d) None
