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 for Q.No.19,
Q.No.21, Q.No.26, and Q.No.31
(5) Please check this question paper contains 7 printed pages only.
Section A
Each question carries one mark. 8 x 1 = 8
Q.1) The mean of first 5 whole numbers is
(a) 3 (b) 2 (c) 2.5 (d) none of these
Q.2) The two
angles of a triangle are 30º and 80º. The third angle is
(a) 60º (b) 90º (c) 70º (d) none of these
Q.3) The
equation for, 4 subtracted from one-fourth of a number x gives 4 is
(a) 
(x – 4) = 4 (b) x – 4 = 4 (c) 4 - x = 4 (d) none of
these
(x – 4) = 4 (b) x – 4 = 4 (c) 4 - x = 4 (d) none of
these
Q.4) The number
of lines of symmetry for a square is
(a) 2 (b) 4 (c)
6 (d)
none of these
Q.5) Order of
rotational symmetry of an equilateral triangle is
(a) 6
(b) 2 (c) 3 (d) none of these
Q.6) Given AC=DF, AB=DE, BC=EF, so ΔABC ≡
ΔDEF. Which congruence criterion do you use from the following?
(a) SAS (b) AAA (c) SSS (d) none of these
Q.7) Convert 0.09 to percent:
(a) 0.9% (b) 9% (c) 0.09% (d) none of these
Q.8) Out of 25
children in a class, 15 are girls. What is the percentage of girls?
(a) 75% (b)
50% (c) 60% (d) none of these
Section B
Each question
carries two marks. 6
x 2 = 12
Q.9) Is it
possible to have a triangle with the following sides?
4.5cm, 10.2cm, 5.8cm
Q.10) Check whether each value given in the brackets is a solution to
the given equation or not:
4p – 3 =
13 (p=2, p=4)
Q.11) Find the
base, if the area of the ΔABC is 36cm2 and the height is 3cm.
Q.12) Find 35% of 600kg
Q.13) Construct
an equilateral triangle of side 4cm
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 symbolic form.
Section C
Each question
carries three marks. 10
x 3 = 30
Q.15)
(i)
What
information is given in the bar graph?
(ii)
Which
student has the maximum mark?
(iii)
Which
student has the minimum mark?
Q.16) Find the mean, median and mode of the following data:
32, 30, 23, 26, 30, 28,
27
Q. 17) AM is a median of a
triangle ABC. Is AB+BC+CA > 2AM?
Q.18) In a
Triangle ABC angle A is twice angle B and Angle C is three times of Angle B
find the angles of the triangle
Q. 19) Solve
and check: 16 = 4 + 3 (t + 2)
(OR)
Set up an equation
and solve: In an isosceles triangle, the vertex angle is twice either base
angle. Find the angles of the triangle.
Q. 20) The area
of a square and a rectangle are equal. If the side of the square is
20cm and the breadth of the
rectangle is 16cm, find the length of the
rectangle. Also find the perimeter
of the rectangle.
Q.21) ΔABC is right angled at A. AD is perpendicular to BC. If AB=5cm,
BC=13cm and AC=12cm. Find the area of ΔABC. Also find the length of AD.
A
B D C
(OR)
The radius of
the larger circle is 14cm and the radius of the inner circle is 7cm. Find the
area of the shaded portion between the two circles.
(π = 
).
). |
Q.22) If Ravi
pays an interest of Rs 3000 for 2 years in a sum of Rs 10000, find
the rate of interest.
Q.23) Draw a
line segment AB, take a point C outside it. Through C, draw a line
parallel to AB using ruler and
compasses only.
Q.24) In the figure given below, AB=AC and AD is the bisector of angle BAC.
(i) State three pairs of
equal parts in triangles ΔADB and ΔADC
(ii) Is ΔADB ≡ ΔADC?
Give reasons.
(iv)
Is /_B
= /_C? Give reasons.
A
 |
B D C
Section D
Each question carries four marks. 10
x 4 = 40
Q.25) The number of two types of drinks sold on 5 days of a week are
given below:
Construct a double bar
graph for the data.
|
Days
|
Strawberry
drinks
|
Chocolate
drinks
|
|
Monday
|
75
|
80
|
|
Tuesday
|
50
|
65
|
|
Wednesday
|
70
|
45
|
|
Thursday
|
85
|
75
|
|
Friday
|
45
|
60
|
Q.26) The diagonals of a rhombus measures 12cm and 16cm. Find its
perimeter.
(OR)
Find the perimeter of the rectangle
whose breadth is 7cm and a diagonal is
25cm.
Q.27) A tree is broken at a height of 15m from the ground and its top
touches the ground at a distance of 8m from the base of the tree. Find the
original height of the tree.
Q.28) Two cross
roads each of width 2m, cut at right angles through the center
of a rectangular park of length 72m and
breadth 48m and parallel to its
sides. Find the area of the roads.
Q.29) A 3m wide
path runs outside and around a rectangular park of length 30m
and breadth 20m. Find the area of the
path.
Q.30) (a) 75% of what number is
15?
(b) Find the ratio of
18m to 54cm
(c) Convert 150% to
fraction in simplest form
Q.31) A
shopkeeper bought a table for Rs1500 and sold it for Rs1440. Find
the loss percentage.
(OR)
Cost of an item is Rs 50000. It was
sold with the profit of 12%. Find the
selling price.
Q.32) Construct
ΔLMN if it is given that LM=8cm, /_NLM=40º and
/_LMN=110º. (write the steps of construction)
Q.33) Construct
ΔXYZ, right angled at Y, YZ=8cm and XZ=10cm using ruler
and compass
Q.34) Construct a right angled triangle whose hypotenuse is
4.5 cm and the other angle is 30°. Also with steps of
construction.
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