Practice Spatial Reasoning in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
The cognitive ability to visualize, manipulate, and reason about two- and three-dimensional objects mentally in space.
Imagining how furniture will fit in a room before physically moving any of it.
Showing a random 20 of 64 problems.
Example 1
easyHow many edges does a cube have?
Example 2
mediumA rectangular box is cm long, cm wide, and cm tall. What is the length of the space diagonal (corner to opposite corner)?
Example 3
mediumYour shoes are on the floor below your bed. Are the shoes above or below the bed?
Example 4
easyHow many corners (vertices) does a cube have?
Example 5
easyIf you unfold a cube flat, how many square faces are in the flat pattern (net)?
Example 6
easyA cat is inside the box. Is the cat in or out of the box?
Example 7
mediumA cube is painted red on all 6 faces and then cut into smaller equal cubes. How many small cubes have paint on exactly 2 faces?
Example 8
easyA balloon floats above your head. Is the balloon above or below you?
Example 9
easyMaya stands in line. The teacher is in front of her. Where is the teacher: in front of or behind Maya?
Example 10
mediumA rectangle has how many corners?
Example 11
hardAn arrow points UP. You turn it a quarter turn to the right, then flip it over a horizontal line (top-bottom flip). Which direction does the arrow now point?
Example 12
mediumA hexagon has how many sides?
Example 13
easyYou put two squares of the same size right next to each other so their sides touch. What new shape do they make?
Example 14
mediumA square piece of paper is folded in half, then in half again. How many layers thick is it now?
Example 15
mediumA net has 6 squares in a cross shape. When folded, what solid does it form?
Example 16
mediumTwo shapes look identical but one is shown rotated. What spatial skill confirms they're the same shape?
Example 17
hardA sun is in the sky. A flower is on the ground. Is the sun above or below the flower?
Example 18
mediumA cube is painted red, then cut into 8 small equal cubes (). How many small cubes have exactly 3 red faces?
Example 19
mediumA rectangle is standing tall (long side up-down). You turn it degrees. Is the rectangle now tall or wide?
Example 20
mediumA solid is built from 4 unit cubes stacked in an L-shape. How many cubes touch the ground if it sits on its longest side?