Exploring Some Geometric Themes
Each subtopic includes About section, revision page link, 10 preview questions, and practice CTAs.
Fractals
SubtopicFractals under Exploring Some Geometric Themes for Grade 8 CBSE.
Preview questions (no answers)
- 1.
What happens to the level of detail as you zoom into a fractal?
A.It stays the same or increases
B.It disappears
C.It becomes a single point
D.It turns into a circle
- 2.
A fractal pattern that repeats itself exactly at every level is called:
A.Scaling
B.Linear
C.Perfectly self-similar
D.Non-recursive
- 3.
Which of these is NOT a fractal?
A.Koch Snowflake
B.Sierpinski Triangle
C.Mandelbrot Set
D.A perfect straight line
- 4.
In fractal art, computer programs use _______ to determine the color of pixels.
A.Random guessing
B.Mathematical formulas
C.Physical measurements
D.Hand drawing
- 5.
If a Koch curve starts with a segment of length 9 cm, what is the length of each of the 4 segments in Stage 1?
A.1 cm
B.2 cm
C.3 cm
D.4.5 cm
- 6.
Which of the following best describes 'iteration' in the context of fractals?
A.Adding a random shape
B.Repeating a geometric rule over and over
C.Measuring the area of a triangle
D.Rotating a shape by 90 degrees
- 7.
What is the number of solid triangles at Stage 4 of a Sierpinski Triangle?
A.12
B.64
C.81
D.256
- 8.
What happens to the area of the shaded part of the Sierpinski Triangle as the number of iterations approaches infinity?
A.It approaches 0
B.It approaches 1
C.It stays constant
D.It approaches infinity
- 9.
In the Sierpinski Carpet, if , what is the sum of the areas of all the holes removed up to the 2nd iteration?
A.B.C.D. - 10.
If a fractal is defined by , where is the number of pieces and is the scaling factor, what is if and ?
A.B.C.D.
Download the worksheet for Exploring Some Geometric Themes - Fractals to practice offline. It includes additional chapter-level practice questions.
Visualising Solids
SubtopicVisualising Solids under Exploring Some Geometric Themes for Grade 8 CBSE.
Preview questions (no answers)
- 1.
What is the sum of faces and vertices for a cube?
A.12
B.14
C.16
D.20
- 2.
If a pyramid has a hexagonal base, how many vertices does it have?
A.6
B.7
C.8
D.12
- 3.
What type of solid has a fixed cross-section throughout its length?
A.Pyramid
B.Prism
C.Sphere
D.Cone
- 4.
Can a polyhedron have 3 faces?
A.Yes
B.No
C.Only if it is regular
D.Only if it is a pyramid
- 5.
A solid object is constructed by placing a smaller cube centrally on the top face of a larger cube. What is the top view of this combined solid?
A.Two separate and identical squares
B.A large square with a smaller square inside it
C.A rectangle divided into two equal parts
D.A square with four triangles meeting at a point
- 6.
On a map, a distance of cm represents an actual distance of km. What is the actual distance between two cities that are cm apart on the map?
A.km
B.km
C.km
D.km
- 7.
A certain prism has exactly edges. How many faces () does this prism have?
A.B.C.D. - 8.
In a town map, the distance from the library to the school is shown as . If the actual distance is , what is the scale used?
A.B.C.D. - 9.
If a pyramid has faces, how many vertices does it have?
A.B.C.D. - 10.
A solid has 10 vertices and 15 edges. How many faces does it have?
A.5
B.6
C.7
D.8
Download the worksheet for Exploring Some Geometric Themes - Visualising Solids to practice offline. It includes additional chapter-level practice questions.