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KV Gachibowli Maths Class VII Session Ending Exam Sample Papers 2018-19 :

School Name : Kendriya Vidyalaya Gachibowli, GPRA Campus, Hyderabad
Exam Name : Maths Class VII Session Ending Exam Sample Papers
Subject : Mathematics
Class : VII
Year : 2018-19
Document Type : Sample Question Paper
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KV Gachibowli Class VII Maths Sample Paper

Kendriya Vidyalaya Gachibowli, Maths Class VII Session Ending Exam Sample Papers.

Related / Similar Question Paper : KV Gachibowli Maths Class VIII Sample Papers 2018-19

General Instructions

(i). All questions are compulsory.
(ii). This question paper contains 30 questions divided into four Sections A, B, C and D.
(iii). Section A comprises of 6 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 and Section D comprises of 8 questions of 4 marks each.
(iv). Use of Calculators is not permitted


Section – A:
1.If p = – 2, find the value of–4p + 7
2.Express 512 using exponential notation.
3.Reduce 4530? to the standard form.
4.Find the area of a circle of radius 30 cm (use p = 3.14).
5.What cross-sections do you get when you give a horizontal cut to the circular pipe?
6.Find the number of lines of symmetry of the given figure:

Section – B:
7.Find the whole quantity if 5% of it is 600.
8.Draw a rough sketch of a quadrilateral with a rotational symmetry of order more than 1 but not line symmetry.
9.Simplify and write the answer in the exponential form: [(22)3 × 36] × 56
10.If two cubes of dimensions 2 cm by 2cm by 2cm are placed side by side, what would the dimensions of the resulting cuboid be?
11.Find the value of 341365?? ??? ?? ?
12.The circumference of a circle is 31.4 cm. Find the radius and the area of the circle? (Take p = 3.14)

Section – C:
13.Simplify: 5 233(2 )787??
14.An elevator descends into a mine shaft at the rate of 6 m/min. If the descent starts from 10 m above the ground level, how long will it take to reach – 350 m.
15.Find any three rational numbers between 5568and?
16.Give the order of the rotational symmetry of the given figures about the point marked x
17.Add: (i) 14x + 10y – 12xy – 13, 18 – 7x – 10y + 8xy, 4xy(ii) 5m – 7n, 3n – 4m + 2, 2m – 3mn – 5
18.When a = 0, b = – 1, find the value of the given expressions: (i) 2a2b + 2ab2 + ab (i1) a2 + ab + 2
19.Construct the right angled ?PQR, where m?Q = 90°, QR = 8cm and PR = 10 cm.

20.In the below figure, AB = AC and AD is the bisector of ?BAC.
(i) State three pairs of equal parts in triangles ADB and ADC.
(ii) Is ?ADB ? ?ADC? Give reasons.
(iii) Is ?B = ?C? Give reasons

21.A path 1 m wide is built along the border and inside a square garden of side 30 m. Find:(i) the area of the path(ii) the cost of planting grass in the remaining portion of the garden at the rate of Rs 40 per m

22.PQRS is a parallelogram (see the below). QM is the height from Q to SR and QN is the height from Q to PS. If SR = 12 cm and QM = 7.6 cm. Find: (a) the area of the parallegram PQRS (b) QN, if PS = 8 cm

Section – D:
23.In the below figure, ray AZ bisects ?DAB as well as ?DCB.
(i) State the three pairs of equal parts in triangles BAC and DAC.
(ii) Is ?BAC ? ?DAC? Give reasons.
(iii) Is AB = AD? Justify your answer.
(iv) Is CD = CB? Give reasons.

24.Anita takes a loan of Rs 5,000 for donating books to the poor, at 15% per year as rate of interest. Find the interest she has to pay at end of three years.
25.(a) From the sum of 3x – y + 11 and – y – 11, subtract 3x – y – 11.(b) What should be taken away from 3×2– 4y2 + 5xy + 20 to obtain – x2– y2 + 6xy + 20?
26.Represent these numbers on the number line. 7546( ) ( ) ( ) (iv)4679iiiiii??
27.Construct ?ABC, given m?A = 60°, m?B = 30° and AB = 5.8 cm.
28.Two cross roads, each of width 5 m, run at right angles through the centre of a rectangular park of length 70 m and breadth 45 m and parallel to its sides. Find the area of the roads. Also find the cost of constructing the roads at the rate of Rs 105 per m2.

29.Express the number appearing in the following statements in standard form.
(a) The distance between Earth and Moon is 384,000,000 m.
(b) Speed of light in vacuum is 300,000,000 m/s.
(c) Diameter of the Earth is 1,27,56,000 m.
(d) Diameter of the Sun is 1,400,000,000 m.


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