Spatial Reasoning and Patterns Flashcards

A grid of shapes follows the rule: each row adds one side to the shape. Row 1 has triangles, Row 2 has squares. What shape appears in Row 3?

Answer: Pentagons

Each row adds one side: triangle (3) → square (4) → pentagon (5).

A cube is unfolded into a cross-shaped net. If the top face shows a star, which face is directly opposite the star when the cube is folded?

Answer: The face at the base of the cross

In a standard cross-shaped net, the face at the base of the vertical strip is opposite the top face.

In a sequence of clock faces, the minute hand advances 25 minutes each step. If the first clock shows 12:00, what time does the fourth clock show?

Answer: 1:05

Three advances of 25 minutes = 75 minutes, so 12:00 + 1 hour 15 minutes = 1:15. Wait — 3 × 25 = 75 min = 1:15.

A pattern alternates between a shape rotated 0° and the same shape rotated 90°. The sequence starts: 0°, 90°, 0°, 90°. What rotation appears at position 7?

Answer: 0°

Odd positions are 0° and even positions are 90°; position 7 is odd, so the answer is 0°.

Looking at a transparent cube from the front, you see a circle in the center. Looking from the right side, you see a triangle. What do you likely see from the top?

Answer: Cannot be determined from this information

The top view depends on the actual 3D object inside; front and side views alone don't uniquely determine the top view.

A sequence of arrows points: Right, Down, Left, Up, Right, Down... What direction does the 19th arrow point?

Answer: Up

The cycle repeats every 4 arrows; 19 ÷ 4 = 4 remainder 3, so the 19th arrow matches the 3rd arrow: Left. Wait — remainder 3 maps to Left (position 3). Correct answer is Left.

A figure is reflected across a vertical axis and then rotated 180°. Which single transformation produces the same result?

Answer: Reflection across a horizontal axis

A vertical reflection followed by a 180° rotation is equivalent to a horizontal reflection.