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The science of intelligence

What is spatial reasoning (spatial intelligence)?

Short answer

Spatial intelligence, often called spatial reasoning, is the ability to picture objects and reason about them in space: rotating a shape in your mind, reading a map or seeing how pieces fit. Research models call it visual processing (Gv), a broad ability in the CHC framework, and a meta-analysis of 217 training studies found it can improve.

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What spatial reasoning means

Spatial reasoning is thinking about objects in space without moving them. The APA Dictionary defines spatial ability as reasoning about objects in space and gives map reading and jigsaw puzzles as examples (APA Dictionary: spatial ability). You use it when you check whether a sofa will fit through a door, follow a map, or picture a folded box from a flat pattern. "Spatial intelligence" and "spatial reasoning" name the same ability; the first is the term used in theories of intelligence, the second the term used on tests.

On tests it shows up in a few familiar formats:

  • Mental rotation: deciding whether two shapes are the same object turned, or mirror images. The APA Dictionary defines mental rotation as the ability to mentally turn stimuli away from their normal orientation (APA Dictionary: mental rotation).
  • Spatial relations: tracking where parts of a figure move as the whole turns or flips.
  • Visualization: folding, assembling or cutting shapes in your head.

To see the format before reading on, the free spatial reasoning test gives you ten timed rotation and odd-one-out items with a practice score. The mental rotation glossary entry covers the classic task in brief.

Where it sits in models of intelligence

Spatial intelligence appears both in Gardner's multiple intelligences and as the primary mental ability "S" in Thurstone's theory (APA Dictionary: spatial intelligence). Today the dominant model is the Cattell-Horn-Carroll (CHC) framework, built on John Carroll's 1993 reanalysis of more than 460 factor-analytic data sets (Carroll, 1993). In the Cattell-Horn theory, visual ability (Gv) covers visual-spatial tasks such as mentally rotating a shape or picturing how folded paper would look (APA Dictionary: Cattell-Horn theory). A 2023 network analysis of the Woodcock-Johnson IV norm sample supported Gv alongside the other broad abilities: fluid reasoning, comprehension-knowledge, auditory processing, short-term working memory, retrieval fluency and processing speed (McGrew et al., 2023).

One reasoning battery describes visual processing as the ability to represent and manipulate mental images, and notes that spatial reasoning is also associated with fluid reasoning (Primi et al., 2013). Within Gv, a 2023 reanalysis found Spatial Relations and Block Rotation were the stronger indicators of visualization, a major narrow ability (McGrew, 2023). Being a separate broad ability does not make spatial skill independent of general intelligence: in a hierarchical model the broad abilities are correlated and share a general factor. See CHC theory for the full structure.

Gardner named spatial intelligence in his 1983 theory, next to linguistic and logical-mathematical abilities (Neisser et al., 1996). The word is the same, but the claims differ: Gardner proposes relatively separate intelligences, while CHC places spatial ability inside a correlated hierarchy. The multiple intelligences page covers the evidence for his model.

Try one · Spatial Reasoning

Which option is the same shape, only rotated?

Tap the option you think is right, or show the answer.

Show the answer

Option 3 is the original figure turned a quarter turn clockwise.

How to solve it

  1. Pick a landmark: the marked cell or the end of the longest arm.
  2. Turn the figure in your head and watch where that landmark goes, and which side the other cells end up on.
  3. Turning the figure a quarter turn clockwise gives option 3.
  4. Each of the other options is a mirror image: flipping it over would match, but no turn does.

That was 1 puzzle. The full test has 25.

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The key research

Mental rotation. In 1971, Shepard and Metzler showed people pairs of drawings and asked whether they showed the same 3D object. The time people needed rose in a straight line as the angle between the two orientations grew, and rotations in depth took no longer than rotations in the flat picture plane (Shepard & Metzler, 1971). A 2024 paper calls the Shepard and Metzler test one of the most frequently used tests of mental rotation, and notes that better mental rotation performance goes with higher fluid intelligence and better mathematical thinking (Stark et al., 2024).

A test anyone could give. Vandenberg and Kuse built a paper-and-pencil group test of spatial visualization from the Shepard and Metzler figures (Vandenberg & Kuse, 1978). Their Mental Rotations Test showed an internal consistency of .88 and a test-retest reliability of .83, and its scores correlated strongly with other spatial visualization tests and hardly at all with verbal tests (Vandenberg & Kuse, 1978). In other words, it picks up something that verbal tests miss.

Spatial ability and STEM. Wai, Lubinski and Benbow followed a stratified random sample of U.S. high school students for 11 years and found that, for decades, spatial ability measured in adolescence has stood out among people who later earn advanced degrees and work in STEM fields (Wai, Lubinski & Benbow, 2009). They argue that adding spatial ability to talent searches would find many STEM-capable adolescents who are now missed (Wai, Lubinski & Benbow, 2009). In a separate group of 563 intellectually talented 13-year-olds followed for more than 30 years, SAT math and verbal scores explained 10.8% of the variance in patents and refereed publications, and adding spatial ability explained another 7.6% (Kell et al., 2013).

The memory side. Holding a shape in mind while you rotate it relies on working memory. In the Baddeley and Hitch model this is the job of the visuospatial sketchpad, which has been found to have separable visual and spatial components (Hitch et al., 2025). Remembering what something looks like is not quite the same as remembering where it was.

How spatial reasoning is measured

Factor researchers split spatial tests into families. ETS's 1976 kit measures Visualization with the Form Board, Paper Folding and Surface Development tests, and Spatial Orientation with the Card Rotations and Cube Comparisons tests (ETS: Kit of Factor-Referenced Cognitive Tests). Clinical batteries give spatial ability its own score: the WAIS-5 has a Visual Spatial index built from Block Design and Visual Puzzles (Pearson: WAIS-5 overview), and the Stanford-Binet 5 measures a Visual-Spatial factor (PRO-ED: SB5).

Spatial items also appear on selection tests. The ASVAB includes an Assembling Objects subtest (Official ASVAB: what to expect), and CCAT questions come in three kinds, one of which is spatial reasoning (Criteria: CCAT prep). The IQ Octopus test has a Spatial Reasoning section of 5 items out of 25, and the whole test reports an estimated IQ with a confidence range rather than a separate spatial score.

Can spatial reasoning be improved?

Yes. A meta-analysis of 217 spatial training studies found an average training effect of Hedges's g = 0.47 compared with controls (Uttal et al., 2013). The gains were stable over delays and transferred to spatial tasks that were not trained (Uttal et al., 2013).

Training can spill over into math, within limits. A 2022 meta-analysis of 29 studies (N = 3,765) found spatial training improved spatial thinking by g = .49 and math performance by g = .28 (Hawes, Gilligan-Lee & Mix, 2022). Training that used concrete materials such as manipulatives worked better than training that did not, such as computerized training, and math gains were larger for outcomes closely aligned with the training (Hawes, Gilligan-Lee & Mix, 2022). The effect on math grew as participants' ages increased from 3 to 20 years (Hawes, Gilligan-Lee & Mix, 2022).

Spatial scores also rose across generations. A 2015 meta-analysis estimated annual gains of 0.30 IQ points for spatial performance, compared with 0.41 for fluid, 0.28 for full-scale and 0.21 for crystallized test performance (Pietschnig & Voracek, 2015).

Some popular ideas do not hold up. The original "Mozart effect" report claimed that 10 minutes of Mozart raised abstract reasoning scores by 8 or 9 IQ points; a 1999 meta-analysis found any enhancement small and limited to one specific type of task (Chabris, 1999), and a 2010 meta-analysis of about 40 studies found no support for spatial gains specifically due to listening to Mozart (Pietschnig et al., 2010). The Mozart effect myth page has the full story.

Finally, separate real gains from format familiarity. Retest gains on ability tests average 0.33 SD at the second sitting and level off after the third (Scharfen, Peters & Holling, 2018). That is knowing what to expect, which is useful before a real test but is not the same as the durable training gains above.

Try it

Take the free spatial reasoning test for ten timed items, or work through the rotation puzzles by difficulty with full explanations.

Sources

  1. American Psychological Association. APA Dictionary of Psychology, "spatial ability." dictionary.apa.org/spatial-ability
  2. American Psychological Association. APA Dictionary of Psychology, "spatial intelligence." dictionary.apa.org/spatial-intelligence
  3. American Psychological Association. APA Dictionary of Psychology, "mental rotation." dictionary.apa.org/mental-rotation
  4. American Psychological Association. APA Dictionary of Psychology, "Cattell-Horn theory of intelligence." dictionary.apa.org/cattell-horn-theory-of-intelligence
  5. Carroll, J. B. (1993). Human cognitive abilities: A survey of factor-analytic studies. Cambridge University Press. doi.org/10.1017/CBO9780511571312
  6. McGrew, K. S., Schneider, W. J., Decker, S. L., & Bulut, O. (2023). A psychometric network analysis of CHC intelligence measures. Journal of Intelligence, 11(1), 19. doi.org/10.3390/jintelligence11010019
  7. Primi, R., Rocha da Silva, M. C., Rodrigues, P., Muniz, M., & Almeida, L. S. (2013). The use of the bi-factor model to test the uni-dimensionality of a battery of reasoning tests. Psicothema, 25(1), 115-122. doi:10.7334/psicothema2011.393 www.psicothema.com/pdf/4089.pdf
  8. McGrew, K. S. (2023). Carroll's three-stratum (3S) cognitive ability theory at 30 years: Impact, 3S-CHC theory clarification, structural replication, and cognitive-achievement psychometric network analysis extension. Journal of Intelligence, 11(2), 32. doi:10.3390/jintelligence11020032 pmc.ncbi.nlm.nih.gov/articles/PMC9959556/
  9. Neisser, U., Boodoo, G., Bouchard, T. J., Jr., Boykin, A. W., Brody, N., Ceci, S. J., Halpern, D. F., Loehlin, J. C., Perloff, R., Sternberg, R. J., & Urbina, S. (1996). Intelligence: Knowns and unknowns. American Psychologist, 51(2), 77-101. doi.org/10.1037/0003-066X.51.2.77
  10. Hitch, G. J., Allen, R. J., & Baddeley, A. D. (2025). The multicomponent model of working memory fifty years on. Quarterly Journal of Experimental Psychology, 78(2), 222-239. doi.org/10.1177/17470218241290909
  11. Shepard, R. N., & Metzler, J. (1971). Mental rotation of three-dimensional objects. Science, 171(3972), 701-703. doi:10.1126/science.171.3972.701 doi.org/10.1126/science.171.3972.701
  12. Vandenberg, S. G., & Kuse, A. R. (1978). Mental rotations, a group test of three-dimensional spatial visualization. Perceptual and Motor Skills, 47(2), 599-604. doi:10.2466/pms.1978.47.2.599 doi.org/10.2466/pms.1978.47.2.599
  13. Stark, P., Bozkir, E., Sójka, W., Huff, M., Kasneci, E., & Göllner, R. (2024). The impact of presentation modes on mental rotation processing: A comparative analysis of eye movements and performance. Scientific Reports, 14(1), 12329. doi:10.1038/s41598-024-60370-6 pmc.ncbi.nlm.nih.gov/articles/PMC11589343/
  14. Educational Testing Service. Kit of Factor-Referenced Cognitive Tests (1976 Edition), informational flyer and order form (Ekstrom, French, Harman & Dermen). www.ets.org/content/dam/static-resources/Media/Research/pdf/FRCT-KIT-76.pdf
  15. Pearson. WAIS-5 overview brochure (C12396). 2025. www.pearsonassessments.com/content/dam/school/global/clinical/us/assets/wais-5/wais-5-overview-brochure.pdf
  16. Roid, G. H. Stanford-Binet Intelligence Scales, Fifth Edition (SB5), PRO-ED product page. 2003. proedinc.com/products-13290.html
  17. Official Site of the ASVAB (Department of Defense). What to expect. www.officialasvab.com/applicants/what-to-expect/
  18. Criteria Corp. CCAT prep for candidates. www.criteriacorp.com/candidates/ccat-prep
  19. Wai, J., Lubinski, D., & Benbow, C. P. (2009). Spatial ability for STEM domains: Aligning over 50 years of cumulative psychological knowledge solidifies its importance. Journal of Educational Psychology, 101(4), 817-835. doi:10.1037/a0016127 doi.org/10.1037/a0016127
  20. Kell, H. J., Lubinski, D., Benbow, C. P., & Steiger, J. H. (2013). Creativity and technical innovation: Spatial ability's unique role. Psychological Science, 24(9), 1831-1836. doi:10.1177/0956797613478615 doi.org/10.1177/0956797613478615
  21. Uttal, D. H., Meadow, N. G., Tipton, E., Hand, L. L., Alden, A. R., Warren, C., & Newcombe, N. S. (2013). The malleability of spatial skills: A meta-analysis of training studies. Psychological Bulletin, 139(2), 352-402. doi:10.1037/a0028446 pubmed.ncbi.nlm.nih.gov/22663761/
  22. Hawes, Z. C. K., Gilligan-Lee, K. A., & Mix, K. S. (2022). Effects of spatial training on mathematics performance: A meta-analysis. Developmental Psychology, 58(1), 112-137. doi:10.1037/dev0001281 doi.org/10.1037/dev0001281
  23. Pietschnig, J., & Voracek, M. (2015). One century of global IQ gains. Perspectives on Psychological Science, 10(3), 282-306. doi.org/10.1177/1745691615577701
  24. Chabris, C. F. (1999). Prelude or requiem for the "Mozart effect"? Nature, 400(6747), 826-827. doi.org/10.1038/23608
  25. Pietschnig, J., Voracek, M., & Formann, A. K. (2010). Mozart effect-Shmozart effect: A meta-analysis. Intelligence, 38(3), 314-323. doi.org/10.1016/j.intell.2010.03.001
  26. Scharfen, J., Peters, J. M., & Holling, H. (2018). Retest effects in cognitive ability tests: A meta-analysis. Intelligence, 67, 44-66. doi:10.1016/j.intell.2018.01.003 ideas.repec.org/a/eee/intell/v67y2018icp44-66.html

6 questions

Questions

What is the difference between spatial intelligence and spatial reasoning?

They name the same ability. Spatial intelligence is the term used in Gardner’s and Thurstone’s theories, spatial reasoning is the everyday and test-prep term, and CHC research calls it visual processing (Gv).

Is spatial intelligence one of Gardner’s intelligences?

Yes. Gardner listed spatial ability among his multiple intelligences, and it was also a primary mental ability in Thurstone’s theory. Mainstream research treats it as a distinct broad ability that is correlated with the others rather than independent of them.

Can you improve spatial reasoning?

Yes. A meta-analysis of 217 spatial training studies found an average effect of g = 0.47 over controls, and the gains were stable over delays and transferred to untrained spatial tasks.

Does listening to Mozart improve spatial reasoning?

No reliable effect has been found. A 2010 meta-analysis of about 40 studies with more than 3,000 participants found no support for spatial gains specifically due to listening to Mozart.

Why does spatial ability matter?

In an 11-year study of U.S. high school students, spatial ability measured in adolescence stood out among people who later earned advanced degrees and worked in STEM fields.

How many spatial items are on the IQ Octopus test?

Five of the 25 items are in the Spatial Reasoning section. The other sections cover pattern recognition, abstract, quantitative and logical reasoning.

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