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Psychometric Test Spatial Reasoning Flashcards

6 cards from real Psychometric Test practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

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  1. Two identical shapes are placed together edge-to-edge to form a new shape. If both original shapes are right isosceles triangles, the new shape is most likely a:

    Answer: Square

    Two right isosceles triangles joined along their hypotenuses form a square.

  2. A cube painted red on all sides is cut into 27 equal smaller cubes. How many small cubes have exactly 2 painted faces?

    Answer: 12

    The 12 edge (non-corner) small cubes each have exactly 2 painted faces.

  3. Which of these transformations changes the size of a shape?

    Answer: Dilation

    Dilation (enlargement/reduction) is the only transformation that changes the size of a shape.

  4. A cylinder has a radius of 5 cm and a height of 10 cm. What is its volume?

    Answer: 250π cm³

    Volume of a cylinder = πr²h = π(5²)(10) = 250π cm³.

  5. On a standard coordinate grid, which quadrant contains points where x is negative and y is positive?

    Answer: Quadrant II

    Quadrant II contains points with negative x-values and positive y-values.

  6. A regular pentagon is rotated by its smallest angle of rotational symmetry. How many degrees is that rotation?

    Answer: 72°

    A regular pentagon has 5-fold rotational symmetry, so the smallest rotation is 360° ÷ 5 = 72°.