The outer sides of a plane cube have 6 faces. Each face can either have 2 sides colored, 1 side colored or no sides colored. a) For a face to have just 2 sides colored, those 2 sides must be adjacent. There are 4 such pairs of adjacent sides. b) For a face to have just 1 side colored, that side must be an edge. There are 3 edges per face. c) For a face to have no sides colored, it is left blank. There is 1 face that can be left blank. Therefore, the answers are: a) 8 b) 6 c) 1

1. Are you a
Spatial Thinker?

2. Security Description: A man measuring
Camera
173.2 cm just enters into the
view of a security camera
having a circular footprint on
Find Field the floor. After moving 1 more
of View
metre, the whole frame of the
man comes into the camera’s
view.
173.2 cm
Q: Determine the
angle subtended
by the camera
Answer
1m

3. Q ??
Find the approximate speed of the boat
Answer (rounded off to the nearest integer)

4. 1 cm
1 cm
Answer
Determine the area of a tank in hectares measuring
1 cm by 1 cm on a 1: 100,000 scale map

5. N
300
350
Description:
300 Contours are lines
250 joining places having
200 equal elevation.
Answer
What main feature does the contour lines probably indicate?
a) Volcanic crater b) A conical hill ridging towards the north
c) Sea surface bathymetry d) Valley

7. Description: My plane
started at 1.00 p.m IST
Somewhere
from Chennai and landed
here
on an island in the Indian
Ocean at 8 p.m. local
time. My return journey
took me 4 hours.
Q1: What is the time in the island when it’s 12.00 p.m
in London? (Assuming the plane flew at constant
speed) (8 marks)
Q2: Can you guess the name of the island? (2 marks)
Answer

8. Description: I planned
this route on a topo
map for a leisure
trekking. I know I am
not following the
shortest path.
What am I doing here? (6 marks)
Why am I doing that? (4 marks) Answer

9. Description:
Equator Area of Island 1
Island 1 ==
Island 2 Area of Island 2
Which of following Is true when the globe is projected on a
Mercator plane?
a) Isle 1 appears larger b) Isle 2 appears larger
c) Both appears in the same size and shape
d) Size is preserved, while shape is distorted Answer

10. NOT A RUBIK’S CUBE
The outer sides of a plane
cube are painted with six
different colors.
Q: How many faces of the cube have
a) Just two side colored (4)
b) Just one side colored (3)
Answer
c) No sides colored (3)

11. Answer
Θ = tan -1 (1/1.732)
θ = tan-1 (1/√3) = 30 deg
2θ
2 Θ = 60 degrees
θ
1.732 m
1m

12. 300
600
100 m
600
300
X+Y = 100 √3; x= 100/ √3 x y
Y = 100 √3 – 100/ √3 = 200/ √3
= 200/1.732 = 115.4
Speed = 115.4/10 = 11.5 m/s

13. Answer
Area on map = 1 cm X 1 cm = 1 cm 2
= 1 X 100000 X 1 X 100000 cm 2 on ground
= 1000 m X 1000 m on ground
= 10 6 sq.m = 10 2 hectares = 100 hectares

14. Answer
A volcanic Crater
The elevation decreases at the top of
the hill indicating a depression
formed due to a volcanic activity

15. The islands are separated by an international
boundary and the International Date Line(180
degree longitude) which is approximately 1 km
from each island.
The Diomede Islands are sometimes called
Tomorrow Island (Big Diomede) and Yesterday Isle
(Little Diomede)

16. Answer
The journey time is just 4 hrs
So time lag between the island and Chennai is (7 – 4 ) = 3 hrs
IST = London time (GMT) + 5 hrs 30 mins
So the local time at island = 5 hrs 30 min + 3 hrs = 8 hrs 30 min
So at 12 p.m GMT, the time at island is 8.30 p.m
The island is the island nation of SINGAPORE

17. Answer
I am doing CONTOURING, by walking along the contours
Contouring allows you to avoid walk over the top of large hills and
mountains, potentially saving you time and energy.

18. Answer
B) ISLE 2 APPEARS LARGER
Isle 2 appears larger coz, the projection surface is
away from the globe as the place gets away from the
equator. So places at higher latitudes, appear larger
than they are on a cylindrical Mercator projection

19. Answers:
a) two side colored : 8
b) Just one side colored : 6
c) No sides colored : 1