Integrated Classroom Course for Olympiads and Class-VIII (2016-2017) Topics Covered : Mathematics Mathematics :
Visualising Solid Shapes, Mensuration, Direct and Inverse Proportions.
GENERAL INSTRUCTIONS : 1. 2.
All quest questions ions are compuls compulsory ory and and the the time for Test est is 1 hour hour.. Question nu numbe mber 1 carries one mark . This is to be answered in about 15 words .
3. 4.
Que Question ion nu numbe mbers 2 & 3 carry two marks each. These are to be answered in about 30 words . Que Question ion nu numbe mbers 4 to 6 carry three marks each. These are to be answered in about 50 words .
5. 6.
Que Questio tion numbe mbers 7 to 10 carry four marks each including 1 value based question. These are to be answered in about 70 words . Use Use of of calc calcul ulat ator or is not not permi permitt tted ed..
7.
It is manda mandator tory y to use use Blue/Bla Blue/Black ck Pen Pen to write write the the answe answer. r.
Weekday Batch ) Se c ti ti o n : 8R-01 (VIII th Weekday
Maths Total
(To (To be filled by the Examiner)
Roll No./ PSID (1)
Class-VIII
Fortnightly Subjective Test (FDNG1_FST11A)
MATHEMATICS Very Short Answer Type Questions : Q1.
[1×1 = 1]
How many faces does a cube have?
[1]
Ans.
Short Answer Type Questions :
[2×2 = 4]
Q2. A car is moving at a uniform speed of 20 m/s. Find the distance travelled by the car in 3 hours.
[2]
Ans.
Q3.
The external measures of a cuboidal box are 50 cm × 40 cm × 30 cm. Find the total cost of painting all the walls of the box except the bottom face, if the cost of painting is
Ans.
(2)
`
2 per 100 cm 2.
[2]
Fortnightly Subjective Test (FDNG1_FST11A)
Class-VIII
Short Answer Type Questions : Q4.
[3×3 = 9]
Fifty workers can do a job in 65 days. How long will it take if 130 workers do the same work?
Ans.
(3)
[3]
Class-VIII
Fortnightly Subjective Test (FDNG1_FST11A)
Q5. A water tank is in the form of a cylinder whose diameter is 1.75 m and height is 1.6 m. Find the amount of water in litres that can be stored in the water tank? [3] Ans.
(4)
Fortnightly Subjective Test (FDNG1_FST11A)
Q6.
Class-VIII
There are 135 patients in a hospital. Food provision for them is for 29 days. After 5 days, 15 patients get discharged from the hospital. For how many days will the left food last? [3]
Ans.
Long Answer Type Questions : Q7.
[4×4 = 16]
Draw the top view, front view and side view of the given object.
[4]
Top
Side
Front (5)
Class-VIII
Fortnightly Subjective Test (FDNG1_FST11A)
Ans.
Q8.
In the given figure, ABCD is a trapezium, where AB ||DC, CD = 2 AB and AB = 7 cm. If a semicircle is drawn taking AB as a diameter and the perpendicular distance between AB and DC is 4 cm, then find the area of the given figure. [4]
A
B
D
C
Ans.
(6)
Fortnightly Subjective Test (FDNG1_FST11A)
Q9.
Class-VIII
(i) The actual width of a bedroom is 450 cm. If the scale chosen to make its drawing is 1:30, then find the width of the room in the drawing. [2] (ii) Can a polyhedron have 13 faces, 25 edges and 15 vertices?
Ans.
(7)
[2]
Class-VIII
Fortnightly Subjective Test (FDNG1_FST11A)
Value Based Question : Q10. In the given figure, Arun wants to plant some trees for fresh air in his society in his square field PQRS which
is inside a field ABCD. A
B P
Q
S
R
D
C
(i) If ABCD is a rectangular field, AB = 70 m, BC = 60 m and PQ = 50 m, then find the area of the field left after plantation of trees and also, find the sum of perimeters of ABCD and PQRS. [3] (ii) What value is being depicted here by Arun?
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