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Spatial Reasoning Flashcards

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

Read the first 6 Spatial Reasoning flashcards as text

  1. A shape cast a square shadow when viewed from the front and a circular shadow from above. What 3D shape is it?

    Answer: Cylinder

    A cylinder viewed from the front shows a rectangular/square shadow and from above shows a circular shadow.

  2. Five unit cubes are arranged in a plus (+) shape (one center, four arms). How many faces of the unit cubes are visible from outside?

    Answer: 20

    Each unit cube has 6 faces; 5 cubes = 30 faces total; where cubes touch, 2 faces are hidden per join; 4 joins → 8 hidden faces; 30 − 8 = 22 — recalculating for a flat plus shape: 4 touching pairs × 2 hidden faces = 8 hidden; 30 − 8 = 22.

  3. An isometric drawing shows a shape with 3 visible faces: a top, a front, and a right side. Each face is a 2×2 square grid. What is the shape?

    Answer: A 2×2×2 cube

    Three square faces visible from top, front, and right, each 2×2, is characteristic of a 2×2×2 cube.

  4. A rectangular piece of paper is folded in half twice (each fold halves the paper). How many layers of paper are there?

    Answer: 4

    Each fold doubles the number of layers: 1 → 2 → 4 layers after two folds.

  5. On a coordinate grid, point A is at (2, 3). It is reflected across the y-axis. What are its new coordinates?

    Answer: (−2, 3)

    Reflecting across the y-axis negates the x-coordinate while leaving the y-coordinate unchanged: (2, 3) → (−2, 3).

  6. A diagram shows the top view and front view of a 3D shape. Top = circle, Front = triangle. What is the shape?

    Answer: Cone

    A cone viewed from above looks like a circle (with a center point) and from the front looks like a triangle.