www.nvsrochd.gov.in Navodaya Vidyalaya Samiti : Summative Test Model Question Paper

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MODEL QUESTION PAPER FOR SUMMATIVE TEST -II
MATHEMATICS
CLASS-VIII

General instructions:
1. All questions are compulsory
2. The question paper consist of 34 questions divided in to 4 sections A,B,C and D
3. Section A contains 12 MCQ first 8 of I markseach and the next 4 of 2 marks each
4. Section B contains 7 questions of 2 marks each
5. Section C contains 10 questions of 3 marks each
6. Section D contains 5 questions of 4 marks each

http://nvsrochd.gov.in/S_club/Maths/sample_paper_8.doc

SECTION A
Q1- Find the ratio of 50 paise to Rs 5 .
(a)1:1 (b)1:10 (c)1:100 (d) 10:1
Q2- What will be the product of (a2) x (2a22) x (4a26)
(a) 8a46 (b) 8a48 (c) 6a50 (d) 8a50
Q3-Using Euler’s formula find the number of faces of polyhedron having 6 vertices & 12 edges .
(a) 6 (b) 7 (c) 8 (d) 9
Q4- Area of a parallelogram having base 8 cm & corresponding height 10 cm is-
(a) 40 cm2 (b) 80 cm2 (c) 60 cm2 (d) 120 cm2
Q5- Formula for volume of cylinder is-
(a) 2prh (b) pr2h (c)2pr(r+h) (d) pr3h
Q6- Find the value of 3-2
(a) 9 (b) 1/9 (c) 6 (d) -6
Q7-Which of the following number is divisible by 3-
(a) 1234 (b) 153 (c) 154 (d) 155
Q8- The usual form of 100x7+10x1+8 is -
(a) 187 (b) 871 (c) 178 (d) 817

SECTION B
Q9- Find the value of 3x(4x-5)+3 for x=3
(a) 61 (b) 62 (c)63 (d) 66
Q10- 1 A
X A
9 A
(a) 4 (b) 5 (c) 6 (d) 7
Q11- The point of intersection of x-axis & y-axis is called -
(a) Origin (b) zero point (c) co-ordinate (d) Starting point
Q12- The value of (a-b)2
(a)a2-b2 (b) a2+b2+2ab (c) a2-2ab+b2 (d) a2-b2+2ab
Q13- Convert 3:4 into percentage.
Q14-Add ab-bc , bc-ca , ca-ab.
Q15- What are polyhedrons .
Q16- The diagonals of rhombus are 7.5 cm & 12 cm . Find its area .
Q17- (i) Express 0.0000000000085 in standard form .
(ii) Express 4.5 × 104 in usual form.
Q18- Which of the following are in inverse proportion?
(i) The number of workers on a job and the time to complete the job.
(ii) Area of cultivated land and the crop harvested
Q19- Find the common factor of 14pq & 28p2q2

SECTION C
Q20-I purchaced a hair dryer for Rs 5400 including 8 VAT . Find the price before VAT was added .
Q21- Using identity find the product of –
(4x+5)(4x+1)
Q24 –Find the value of m for which 5m ÷5-3=55 .
Q25 -If a box of sweets is divided among 24 children, they will get 5 sweets each. How
many would each get, if the number of the children is reduced by 4?
Q26. A machine in a soft drink factory fills 840 bottles in six hours. How many bottles will
it fill in five hours?
Q27.Divide –
(i) (5x2 – 6x) ÷3x (ii) 5(2x + 1) (3x + 5) ÷(2x + 1)
Q28 Draw the line passing through (2, 3) and (3, 2). Find the coordinates of the points at
which this line meets the x-axis and y-axis.
OR
If 31z5 is a multiple of 9, where z is a digit, what is the value of z?

SECTION D
Q30-A VCR and TV were bought for Rs 8,000 each. The shopkeeper made a
loss of 4% on the VCR and a profit of 8% on the TV. Find the gain or loss
percent on the whole transaction.
OR
Arif took a loan of Rs 80,000 from a bank. If the rate of interest is 10% per annum,
find the difference in amounts he would be paying after 1 ½ years if the interest is
(i) compounded annually. (ii) compounded half yearly
Q31-The internal measures of a cuboidal room are 12 m × 8 m × 4 m. Find the
total cost of whitewashing all four walls of a room, if the cost of white washing is Rs 5 per m2. What will be the cost of white washing if the ceiling of the room is also whitewashed
OR
A closed cylindrical tank of radius 7 m and height 3 m is
made from a sheet of metal. How much sheet of metal is
required?

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