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Shape Construction — Questions and Answers

Shape Construction asks which set of given pieces can be assembled into a target figure. The reliable check is arithmetic before it is visual: the areas of the pieces must total the area of the target, and their edges must match in length. Only then is it worth attempting to fit them mentally.

8 solved questionsNon Verbal ReasoningFree · no signup

Shape Construction— Concepts, Formulas & Shortcuts

  • The total area of the pieces must equal the area of the target figure.
  • Edges that join must be equal in length.
  • Pieces may be rotated and, in most papers, flipped.
  • Count the total number of corners; extra corners must be absorbed at joins.
  • Eliminate any option containing a piece larger than the target in any dimension.
  • Check area first — it disqualifies most wrong options in seconds.

Shape Construction Practice Questions with Answers

Attempt each question first, then open the explanation. All 8 questions below are free to read and require no signup.

  1. Q1.The first check in a shape-construction question should be:

    Easy
    • AColour of the pieces
    • BTotal area of the pieces versus the target
    • CNumber of options
    • DSize of the page
    +Show Answer & Explanation

    Answer: B. Total area of the pieces versus the target

    Explanation: If the areas do not match, no arrangement of the pieces can form the target.

    Shape Construction question 1 of 8

  2. Q2.Two pieces can be joined along an edge only if those edges are:

    Easy
    • ADifferent lengths
    • BEqual in length
    • CCurved
    • DShaded
    +Show Answer & Explanation

    Answer: B. Equal in length

    Explanation: A join requires the meeting edges to coincide exactly.

    Shape Construction question 2 of 8

  3. Q3.Two right-angled triangles with equal legs can be joined to form:

    Moderate
    • AA circle
    • BA square
    • CA pentagon
    • DA hexagon
    +Show Answer & Explanation

    Answer: B. A square

    Explanation: Two congruent right triangles joined along their hypotenuses form a square.

    Shape Construction question 3 of 8

  4. Q4.If one piece is larger in some dimension than the target figure, the option is:

    Easy
    • AStill possible
    • BImpossible
    • CPreferred
    • DCorrect if rotated
    +Show Answer & Explanation

    Answer: B. Impossible

    Explanation: No piece can exceed the target's dimensions, since it must fit inside it.

    Shape Construction question 4 of 8

  5. Q5.In most exam papers, the pieces may be:

    Moderate
    • ANeither rotated nor flipped
    • BRotated only
    • CRotated and flipped
    • DCut further
    +Show Answer & Explanation

    Answer: C. Rotated and flipped

    Explanation: Rotation is always allowed and flipping is normally permitted unless stated otherwise.

    Shape Construction question 5 of 8

  6. Q6.Four equal squares can be arranged to form:

    Easy
    • AA larger square
    • BA circle
    • CA triangle
    • DA pentagon
    +Show Answer & Explanation

    Answer: A. A larger square

    Explanation: A 2 × 2 arrangement of four equal squares forms one larger square.

    Shape Construction question 6 of 8

  7. Q7.If the pieces total more area than the target, the option is:

    Moderate
    • ACorrect
    • BIncorrect
    • CCorrect with overlap
    • DCorrect if pieces are cut
    +Show Answer & Explanation

    Answer: B. Incorrect

    Explanation: Pieces must tile the target without overlapping or being cut.

    Shape Construction question 7 of 8

  8. Q8.Shape-construction questions primarily test:

    Easy
    • AArithmetic speed
    • BSpatial visualisation and area reasoning
    • CVocabulary
    • DMemory
    +Show Answer & Explanation

    Answer: B. Spatial visualisation and area reasoning

    Explanation: The task combines mental assembly of shapes with a check on areas and edge lengths.

    Shape Construction question 8 of 8

Shape Construction — Frequently Asked Questions

What is the fastest first check?+

Area. If the pieces do not sum to the area of the target, no arrangement can work, and this eliminates most options without any spatial reasoning.

Can the pieces be rotated?+

Yes. Rotation is always permitted and flipping is allowed in most Indian exam papers unless the question states otherwise.

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