SUMMATIVE
ASSESSMENT - II
CLASS: VII
Subject:
Mathematics
Time allowed: 3hrs . Maximum
Marks: 90
General
instructions:
1.All questions are compulsory
2.This question paper consists of 34 questions
divided into four sections A, B, C, D. Section A comprises of 8 questions of 1
mark each, section B comprises of 6 questions of 2 marks each, section C
comprises of 10 questions of 3 marks each, section D comprises of 10 questions
of 4 marks each.
3.Question
numbers 1 to 8 in section A are multiple choice questions where you have to
select one correct answer out of the given four. Show working for section B, C
and D
4.There
is no overall choice. However internal choice has been provided You have to attempt only of the alternatives
in all such questions
5.Please
check this question paper contains 7
printed pages only.
Section
A
Each
question carries one mark. 8
x 1 = 8
Q1.Which of the following is the value of ‘m’
in the equation
3m – 14 = 4
(i) 4 (ii) 5 (iii) 6 (iv) 7
Q2.Which of the following is the solution of the
equation 2x – 3y = 1
(i) x= 1, y = 1 (ii) x= 1, y = 2 (iii) x = 2 , y = 1
(iv) x =--1, y = 2
Q3.The sum of three times a number & 11 is 32.
Find the number?
(i) 6 (ii) 7 (iii) 10 (iv) 21
Q4.A regular pentagon has how many lines of symmetry
?
(i)3 (ii) 4 (iii) 5 (iv) 6
Q5.Which of the following letters of the English
alphabet has reflectional symmetry about a vertical mirror?
(i) A (ii) B (iii) C (iv) D
Q6.In a city, 30% are females, 40% are males &
remaining are children. What per cent are children?
(i)40% (ii) 30% (iii) 60% (iv) 70%
Q7.Ram saves Rs. 400 from her salary. If this is 10%
of her salary, what is her salary?
(i) 40000 (ii) 9000 (iii) 4000 (iv) 10000
Q8.How many edges are there in a cuboid?
(i) 3 (ii) 4 (iii) 5 (iv) 6
Section
B
Each
question carries two marks. 6
x 2 = 12
Q.9)
Is it possible to have a triangle with the following sides?
3cm, 4cm, 5cm
Q.10) Check whether each value given in the brackets
is a solution to the given equation or not:6p – 3 = 21 (p=2, p=4)
Q.11)
Find the base, if the area of the ΔABC is 48cm2 and the height is
8cm.
Q.12)
Find 15% of 600kg
Q.13)
Construct an equilateral triangle of side 6cm
Q.14)
In ΔABC and ΔPQR, AB=3.5cm, BC=7.1cm, AC=5cm, PQ=7.1cm, QR=5cm and PR=3.5cm.
Examine whether the two triangles are
congruent or not. If yes, write the congruence relation in symbolicform.
Section
C
Each
question carries three marks. 10 x 3 = 30
Q15) A man borrowed Rs 7200 from a bank for 3
years at 18% p.a. Find the interest and the amount he will have to pay after
the stipulated time.
Q16)
Prove that a diagonal of a parallelogram divides the parallelogram into two
congruent triangles.
Q17)
Draw a triangle PQR with QR=4.2 cm, PQ=5.8 cm and ∠B=75˚
Q18)
The area of a triangular field is equal to that of a square field whose each
side measures 70 m. Find the side of a triangle whose corresponding altitude is
98m.
Q19) Give two examples of geometrical figures
which have 4 lines of symmetry.
Q20) Calculate the area of a rectangle whose
lenghth is 10cm and breadth is equal to the sie of a square whose area is 64 sq
cm.
Q21) Add x2 + 2xy + y2 to
the difference of x2 – 3y2 and 2 x2 + 5y2
Q22)
A man sold his scooter for `8000 and lost 20%. For what amount he should have
sold it to gain 20%?
Q23)
Construct a right angled triangle whose hypotenuse is 4.5 cm and the other
angle is 30°.
Also with steps of construction.
Q24)
A piece of land is 240 m long and 120 m wide, has two roads in its centre of
equal width 2.5 m. One road is parallel to length and other is parallel to its
width. Find the area of roads and also find the cost planting the grass at the
rate of `10 per sq m.
Section
D
Each
question carries four marks. 10 x 4 = 40
Q25)The
diagonals of a rhombus measure 24 cm and 10 cm. Find its perimeter.
OR
Find the perimeter of the rectangle
whose length is 15 cm and a diagonal is
17 cm.
Q26) Construct
XYZ with XY = 5 cm, YZ = 6 cm and XZ = 5 cm.
Also write
steps of construction. What type of triangle is this?
OR
Construct
ABC if AB = 6
cm, m
ABC = 80
and m
BCA = 60
Also write
steps of construction.
Q27).Two
cross roads, each of width 4 m, run at right angles through
the centre of
a rectangle park of length 60 m and breadth 45 m and parallel to its sides. Find the area of
the roads.
Q 28) i) Usha divides a
sum of Rs 2400, as gifts for her three children,
in ratio of 1 : 2 : 5.
How much does each child get?
ii) Convert each part
of the ratio 2: 3 to percent.
Q29) i) In
ABC and
PQR ; BC = QR, AC = PR and
C =
R. Examine whether the two triangles are congruent or
not. Incase of congruent triangles, write the result in symbolic form. Also
write the congruency condition.
Q30) In figure,
ABC
PQR. Write corresponding parts. Also write the
congruency condition.
A P
B C Q
R
Q31) Read the double bar graph carefully and answer
the questions
given
below.
i)
What information is given by the double
bar graph?
ii)
In annual exam, write the subject in
which student got maximum marks.
iii)
Has the performance gone down in any
subject?
iv)
In which subject, has the child improved
his performance the most?
Q32) If AB = AC and D is the mid
point of BC. A
in
ADB and
ADC.
Q33) In
ABC, D is mid point of BC. Show that
(AB + BC + CA)
2 AD
Q34) The width of a rectangle is two-thirds of
length. If perimeter is
180 m,
find the dimensions of the rectangle.
OR
Construct an
equilateral triangle of sides 4 cm. Also write steps of
construction.
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