ITL Public School
Summative Assessment - 2 (2014-15)
Date: 16.02.15
Class: VII
Mathematics – Set B
Time: 3 hrs
M. M: 90
General Instructions:
1. Read the question paper carefully and answer legibly.
2. All questions are compulsory.
3. The question paper consist of 31 questions divided into four sections A,B,C and D
4. Section A comprises of 4 question of 1 mark each, section B comprises of 6 questions of 2 marks each,
Section C comprises of 10 questions of 3 marks each and Section D comprises of 11 questions of 4
marks each
5. Use of calculators is not permitted.
Section – A
Q1.
Identify the like terms in 3xz, 3zx, -yz, -xy.
1
Q2.
In ΔABC and ΔXYZ, C = Z , BC = YZ and B = Y. Name the congruence criterion by
which the two triangles will be congruent.
5
Express
as percentage.
20
To what power ( -2 ) should be raised to get 16?
1
Q3.
Q4.
1
1
Section – B
Q5.
Find the area of a square field whose perimeter is 184m.
2
Q6.
2
Q8.
a) Compare: 1.05 ×
and 1.5 ×
b) Express 77816.512 in the standard form.
If ΔDEF ΔXYZ, write all the corresponding sides and angles of both the triangles which
will equal.
Find the whole quantity if 15% of it is 1500g.
Q9.
Add 2x², 5x² and x².
2
Q7.
Q10. Construct an equilateral triangle of side 5cm.
Section – C
Q11. Construct a triangle ABC in which A = 60º, B = 60º and AC = 5.4cm
Q12. The perimeter of a triangle is 54cm and the lengths of the sides are in the ratio 2:3:4. Find the
lengths of the three sides.
Q13. Simplify using laws of exponents:
a)
b) [ ]
Q14. In an isosceles ABC,in which AB = AC and AD is the median to the side BC. Is ADB
ADC ? Give reasons to support your answer.
Q15. A wire is in the shape of a rectangle, its length is 32m and breadth is 20m. If the same wire is
re-bent in the shape of a square, what will be the measure of each side? Also find which
encloses more area.
Q16. A circular flower be is surrounded by a path 4m wide. The diameter of the flower bed is 66m.
Find the area of this path. (Take = 3.14)
2
2
2
3
3
1½
1½
3
3
3
Q17.
ABC is isosceles with AB = AC = 7.5cm and BC = 9cm. The height AD from A to BC is
6cm. Find the area of the ABC. Find the height from C to AB i.e. CE.
Q18. A book wholesaler sold 300 copies of a book at a profit of 15%. If C.P of a book is Rs. 48,
find the selling price of the books.
Q19. What must be added to 5x³ - x² + 4x + 6 to make the sum x³ + 2x² - x + 1?
3
Q20. Find the base of a triangle whose altitude is 12cm and area is 0.6 sq.m.
3
3
3
Section – D
Q21. Construct an isosceles right triangle ABC in which C = 90º and AC = BC = 5cm.
4
Q22. ABC is an isosceles triangle with AB = AC and AD is one of
its altitudes.
a) State the three pairs of equal parts in ΔADB and
ΔADC.
b) Is ΔADB ΔADC? Give reason.
c) Is BD = CD? Give reason.
d) Is BAD = CAD? Give reason.
4
Q23.
4
Simplify using laws of exponents:
( Also mention the laws used )
Q24. a) In any year the value of a bike decreased from Rs.50,000 to Rs.45,000. Find the decrease %.
4
b) An alloy is made of 25% zinc, 30% copper and rest is nickel. Find the percentage of nickel.
Also find the weight of zinc if the alloy is 50g.
Q25. From the sum of (2p² + pq) and (- p² - pq + q²) subtract the sum of (3p² - q²) and
(- p² + pq + q²).
Q26. Two cross roads each of 2 metres wide, run at right angles through the centre of a rectangular
park 72m by 42m such that each is parallel to one of the sides of the rectangle. Find the area
of roads. Find the cost of constructing the roads at the rate of Rs. 15 per square metre.
Q27.
a) Find the value of k if the value of x² + 7k is 4 at x = -5.
b) Evaluate: 3p – 4q + 7r when p = 5, q = 3 and r = 4.
4
2+2
2
2
Q28. Simplify using laws of exponents: ( Also mention the laws used )
a)
3
1
b)
Q29. The hypotenuse of a right triangle is 13cm long and one of the remaining two sides is of
length 5cm. Construct the triangle and measure the third side.
4
Q30. A floral design on the floor of a building consists of 2800 tiles. Each tile is in the shape of a
parallelogram of height 3cm and base 5cm. Find the cost of polishing the design at the rate of
50 paise per sq cm.
4
Q31. Neeraj applied for a loan of Rs. 10,00,000 from a nationalized bank on time and got it
sanctioned at the rate of 12% per annum. His friend’s loan did not get sanctioned so he
borrowed the same amount from a private finance agency at the rate of 15% per annum. Find
the interest paid by Neeraj and his friend in 1 year. What do you think about Neeraj and his
friend’s decision of borrowing the money? Whose decision was better?
4