Class 4 Computational Thinking & AI
Official CBSE Student Handbook curriculum with 280 interactive practice questions (20 questions per chapter), parity error-detecting grids, hardware sorting networks, 3D voxel nets, and step-by-step logic solutions.
Shapes Around Us
Shapes Around Us covers 3D voxel arithmetic, cube net invariants, planar cut angle logic, and spatial vertex color constraints.
Practice Questions (20)
Click an option to test your solution3D Voxel Subtraction: A 12-cube L-frame solid minus a 4-cube bar = [ ? ]. Which option represents the remaining polycube solid (without rotation)?
Hint: Remove the front 4-cube section from the original shape.
A cross net of an unfolded cube has diagonal half-shaded yellow triangles. Which option represents a pair of OPPOSITE faces when folded into a cube?
Hint: In an unfolded strip of 4 squares, faces separated by one square are opposite.
From a rectangular piece of paper (4 angles), a shape having which of the following number of angles CANNOT be formed by making only a SINGLE STRAIGHT CUT in any direction?
Hint: A single straight line can add at most 1 new vertex to the polygon, creating at most 5 angles.
Count the total number of TRIANGLES in the geometric square with intersecting diagonal and transverse lines.
Hint: Count the 3 small individual triangles and the 2 larger combined triangles.
Find the ODD one out among: (a) M4 inside a rectangle, (b) T3 inside a triangle, (c) S4 inside a square, (d) P5 inside a pentagon.
Hint: In (b), (c), and (d), the letter is the first letter of the shape's name (Triangle, Square, Pentagon).
Theme: [Rhombus, Hexagon, Down-Triangle], [Up-Triangle, Circle, Rhombus], [Square, ?, Square]. What shape comes in place of '?'?
Hint: The middle shape in row 3 is a 6-sided hexagon.
Each face of a triangular prism (5 faces: 2 triangular bases + 3 rectangular sides) is coloured so no two adjacent faces share the same colour. What is the MINIMUM number of colours required?
Hint: 3 side rectangles need 3 colours; the top and bottom triangular bases need a 4th colour.
In a 3×3 Sudoku-like grid: Shape A and Shape B must be placed so NO two shapes with the same number of sides, pattern, or colour appear in the same row or column. What are shapes A and B?
Hint: A = 8-spoke circle, B = 5-sided pentagon.
6 concrete cubical blocks are arranged to build a staircase (1 on top, 2 in middle, 3 at bottom = 6 cubes total, having 6 × 6 = 36 total faces). Looking at the solid, how many faces are NOT visible (hidden on ground, back, or between blocks)?
Hint: 36 total faces − 15 visible faces = 21 hidden faces.
A square pyramid has 5 vertices (1 top apex + 4 base corners) and 8 edges. Colored dots: Top apex has Yellow dot, 2 base corners have Red dots, 2 base corners have Yellow dots. How many edges have a Yellow dot at one corner but DO NOT have a Red dot on the other corner (i.e. Yellow-Yellow edges)?
Hint: 2 edges from the apex to the yellow base corners + 1 edge along the base between the two yellow corners = 3 edges.
How many vertices (corners) does a square pyramid have?
Hint: 4 on the bottom square + 1 on the top point = 5 vertices.
What is the total number of edges on a triangular prism?
Hint: 3 + 3 + 3 = 9 edges.
Which polygon has 7 sides?
Hint: 'Hepta' means 7.
How many diagonals can be drawn inside a regular pentagon?
Hint: A pentagon has 5 diagonals forming a star inside.
If you unfold a cone along its slant height, what 2D shape is the lateral surface?
Hint: Unrolling a cone gives a fan-shaped circular sector.
How many lines of symmetry does a regular octagon have?
Hint: A regular octagon has 8 equal sides and 8 lines of symmetry.
What is the angle sum of all interior angles of a quadrilateral?
Hint: Two triangles make 180° + 180° = 360°.
Which of the following 3D solids has NO flat faces?
Hint: A ball is completely curved with no flat surfaces.
How many unit cubes are in a solid 4×4×4 cube?
Hint: 4³ = 64.
How many right angles are formed when two perpendicular lines intersect?
Hint: A cross (+) creates 4 right angles.
The Thinking Spot: Shapes Placement in Box 1
Set A contains 5 shapes: {White Circle, White Triangle, Black Circle, Black Diamond, Black Triangle}. Place them into 5 connected squares in Box 1 such that: (1) Shape and square cannot have the same colour. (2) Connected squares cannot have the same shape.
Question: Which option shows the shapes which are NOT next to each other in the final arrangement?