SECTION - International Indian School

INTERNATIONAL INDIAN SCHOOL, AL-JUBAIL
‫ الجبيل‬- ‫المدرسة العالمية الهندية‬
Eastern Province – Kingdom of Saudi Arabia
‫المنطقة الشرقية – المملكة العربية السعودية‬
SUMMATIVE ASSESSMENT II – MARCH 2015
SUBJECT MATHEMATICS
CLASS
VII
MARKS
90
TIME
GENERAL INSTRUCTIONS:
1) All questions are compulsory.
2) The question paper consists of 31 questions divided into four sections A, B, C, D.

Section A consists of 4 questions of 1 mark each.

Section B consists of 6 questions of 2 mark each.

Section C consists of 10 questions of 3 marks each.

Section D consists of 11 questions of 4 marks each.
3) Use of calculator is not permitted.
SECTION – A
4 x 1 = 4 marks
1) How many edges are there in a cuboid?
2) Write the exponential form of 10,000.
3) What is the angle of rotation of a regular pentagon?
4) Find the area of a circle of diameter 20 cm.
SECTION – B-----------------------6 x 2 = 12 marks
1) John buys a cycle for Rs. 1700 and sells it at Rs. 1870. What is its profit percentage?
2) Express 8000 as the product of its prime factors.
3) Find the value :
i.
(-1)200 + (-1)39
ii.
Write 728503 in expanded form.
1
3 hrs
4) Write the order of rotational symmetry of a square, equilateral triangle, regular pentagon and
rectangle
5) If a = -3 and b = 2, find the value of
i.
a3 – b3
ii.
a2 – 3 (b-5)
6) Can this be a net for a dice?
Explain your answer.
SECTION – C-----------------------10 x 3 = 30 marks
1) A wire in the shape of rectangle of length 25 cm and breadth 17 cm is rebent to form a
square. What will be the measure of each side of the square?
2) The ratio of base and height of a triangle is 3:2. If the area of the triangle is 300 cm2, find
out the value of its base and height.
3) Rs.300 is to be divided among Ravi, Roy and Raju so that Ravi gets three parts, Raju gets
five parts and Roy gets two parts. How much money will each get? What will be those in
percentages?
4) Answer the followings:
i.
Out of 40 students, 22 are girls. What percentage of the students are boys?
ii.
Seema bought a frock and saved Rs.30, when a discount of 25% was given. What was the
price of the frock before the discount?
5) Find the value :
i.
5% of Rs.75
ii.
25% of 1 Kg
iii. 40% of 500 Km
6) Simplify and write in exponential form
i.
[(22)3 x 36] x 56
ii.
32 x a5 x 5a7
2
7) Draw a line l. Take a point X outside it. Through X, draw a line parallel to l.
8) Answer the followings:
i.
ii.
Arrange the like terms and simplify the expression.
15x2 – 7m + 3m -9x2 – 9m + 5
Write the terms and factors by tree diagram
9xy2 + 13x2y + 5xy
9) Classify the following expressions to monomials, binomials and trinomials
i.
ii.
iii.
2xy + 3y
3pq
9x2 + 7xy + 5y2
iv.
v.
vi.
ab + a + b
5p + 9
a2 – b2
10) Fill in the blanks :
i.
(239)0 = _____
ii.
(750)2 = 7-----
iii.
52 x 5--- = 56
SECTION – D----------------------11 x 4 = 44 marks
1) Selling price of a toy is Rs.360. If the profit made by the shop-keeper is 20%, what is the
cost price of the toy?
2) Rs.6000 is borrowed at 3.5% rate of interest per annum, borrowed for 2 years. Find the
amount to be paid at the end of second year.
3) Two cross roads, each of width 5m, run at right angles through the center of a rectangular
park of length 60m, breadth 35m and parallel to its sides. Find the area of the roads.
P
S
4) PQRS is a parallelogram. PM and RN are the heights on sides PQ
and QR respectively. If QR = 12cm, PQ = ½ QR and PM = 4cm.
Find
i.
The area of the parallelogram PQRS
ii.
Length of NR
N
Q
M
5) A circular flower garden has an area 314 m2. A sprinkler at the center of the garden can
cover an area of radius of 12m. Will the sprinkler water the entire garden? Justify your
answer.
3
R
6) From the sum of 2x2 + 3xy and –x2 – 2xy –y2, subtract the sum of 5x2 -9xy + y2 and -2x2 +
5xy – y2
7) What should be taken away from 5x2 – 2y2 + 2xy + 20 to obtain -3x2 + 3y2 – 6xy + 20
8) Answer the followings:
i.
ii.
Simplify and find the value, if x = 3
5x2 -5 (x-2) + 3 (x-1)
Simplify and find the value, if a = -2 and b = 5
3 (a2 + b2) – 5 (a2 – b2)
9) Simplify using the laws of exponents.
i.
123 x 94 x 6
82 x 27 x 35
ii.
23 x a3 x 25a2
5a4 x 4
10) Express the following numbers in standard form:
i.
ii.
4387.5
323500000
iii.
iv.
390538
780059
˚
11) Construct a triangle ABC, given AB = 6cm, ABC = 30 and
4
ACB = 60˚