Psychometric Test Spatial Reasoning Flashcards

Which 3D shape has exactly 6 faces, 12 edges, and 8 vertices?

Answer: Cube

A cube (rectangular prism) has 6 faces, 12 edges, and 8 vertices.

A shape is reflected across the y-axis. A point originally at (3, 5) moves to:

Answer: (−3, 5)

Reflecting across the y-axis negates the x-coordinate while keeping the y-coordinate unchanged.

How many lines of symmetry does a regular hexagon have?

Answer: 6

A regular hexagon has 6 lines of symmetry — three through opposite vertices and three through midpoints of opposite sides.

A rectangular prism measures 4 cm × 3 cm × 2 cm. What is its total surface area?

Answer: 52 cm²

Surface area = 2(lw + lh + wh) = 2(12 + 8 + 6) = 2(26) = 52 cm².

When a shape is enlarged by a scale factor of 3, its area is multiplied by:

Answer: 9

Area scales by the square of the linear scale factor, so 3² = 9.

A map uses a scale of 1:50,000. A distance of 4 cm on the map represents how many kilometers in reality?

Answer: 2 km

4 cm × 50,000 = 200,000 cm = 2,000 m = 2 km.