Domain 2 · Intake, Assessment & Diagnosis · Lesson 6 of 11

Intelligence, aptitude and achievement tests: Wechsler, Stanford-Binet, and the rest

17 min read · Dr. Andrew WichtermanCACREP: Assessment & Testing

Last reviewed September 2026 by Dr. Andrew Wichterman · Aligned to the current NCE blueprint. Valid for exams through June 30, 2027.

AI-narrated overview made with Google NotebookLM. The written lesson below is by Dr. Andrew Wichterman.

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Achievement, aptitude and intelligence tests each ask a different question about a person. This lesson tells the story of the IQ from Binet to Wechsler, walks through the tests the exam names, and explains the theories of intelligence in a sentence each.

Before you read: three questions

Try to answer each from memory first, even if you have to guess. Guessing before reading makes the answer stick; reveal only after you have tried.

What is Binet & Simon?First practical intelligence test.
What is Terman?Stanford-Binet.
What is Ratio IQ?MA / CA × 100; replaced by deviation IQ.

Start here: three questions a test can ask

Tests of ability come in three flavors, and the difference is when they are looking. An achievement test asks what you have already learned: a final exam, a reading test. An aptitude test asks how well you are likely to do at something in the future: the SAT is supposed to predict college performance. An intelligence test asks about general mental ability, the broad capacity to reason, learn and solve problems, without tying it to a school subject. The exam mostly wants you to name a test from a description and to know a little history, so this lesson is a tour of the tests with the stories behind them.

Achievement"What have you already learned?"Looks backward · final exam · WIAT · Woodcock-Johnson Aptitude"How well are you likely to do later?"Looks forward · SAT, GRE · DAT · ASVAB
Same skill can appear on both. A math achievement test asks what math you know; a math aptitude test uses your math to predict how you will do in an engineering program.

A short history of the IQ

In 1905 in France, Alfred Binet and Théodore Simon built the first practical intelligence test. The government wanted a way to identify schoolchildren who needed extra help, and Binet's test did that by comparing a child's performance to what was typical for each age. A child who solved the problems most 8-year-olds could solve had a mental age of 8.

In 1916 Lewis Terman at Stanford adapted the test for the United States, creating the Stanford-Binet. Around the same time William Stern proposed dividing mental age by chronological (actual) age and multiplying by 100 to get a single number. That was the original IQ, the "intelligence quotient," and the word "quotient" is a leftover from that division. A 10-year-old with a mental age of 12 had an IQ of 120.

The ratio IQ had a problem: mental age stops rising in the late teens, so the formula breaks down for adults. David Wechsler solved it in 1939 by dropping the division altogether and instead comparing each person to others of the same age, then placing them on a normal curve with a mean of 100 and a standard deviation of 15. That is the deviation IQ used by every major test today. An IQ of 115 no longer means anything about mental age; it means one standard deviation above the average for your age group.

In plain English. Binet started it (1905, France, mental age). Terman brought it to America (1916, Stanford-Binet). Stern gave us the word IQ (mental age ÷ chronological age × 100). Wechsler fixed it for adults (deviation IQ: mean 100, SD 15).

The Wechsler tests: pick by age

The Wechsler scales are the most widely used intelligence tests in the world, and the exam tests them by age. There are three, and their names tell you who they are for.

0510152025303540 → 90 WPPSI WISC WAIS: 16 and up Age in years. WPPSI about 2½–7 · WISC 6–16 · WAIS 16–90. The ranges overlap by about a year at each edge. Stanford-Binet 5 covers ages 2 through adulthood in one instrument.
WPPSI: Preschool and Primary. WISC: Children. WAIS: Adult. If an item gives you an age, the age picks the test.
TestStands forAgesCurrent edition
WPPSIWechsler Preschool and Primary Scale of IntelligenceAbout 2½ to 7WPPSI-IV
WISCWechsler Intelligence Scale for Children6 to 16WISC-V
WAISWechsler Adult Intelligence Scale16 to 90WAIS-5 (2024); the WAIS-IV is still widely used

The Wechsler tests give a Full Scale IQ plus several index scores: verbal comprehension, visual-spatial, fluid reasoning, working memory and processing speed. Older items and older editions talk about a "Verbal IQ" and a "Performance IQ"; the modern editions replaced that split with the index scores. All Wechsler scores use the same scale: mean 100, SD 15, so a score of 130 is two SDs above average, the 98th percentile.

The other ability tests you should recognize

TestWhat it isWhy the exam mentions it
Stanford-Binet 5Intelligence test for ages 2 to adult; the modern descendant of Binet's originalThe other major IQ test; historically used SD 16
Kaufman (KABC, KAIT)Intelligence tests built on a theory of how children process information; the KABC is often used with culturally diverse childrenAlternative to Wechsler; "less culturally loaded"
Raven's Progressive MatricesNonverbal reasoning: pick the pattern that completes a grid of shapesThe example of a "culture-fair" test; no language needed
Peabody Picture Vocabulary TestPoint to the picture that matches a spoken word; no reading or speaking requiredReceptive vocabulary; useful when a child cannot read or write
Woodcock-JohnsonBattery of achievement and cognitive tests, kindergarten through adultCommon in schools for learning-disability evaluation
WIATWechsler Individual Achievement Test: reading, math, writingOften paired with the WISC to compare ability against achievement
Otis-Lennon School Ability TestGroup-administered school ability testExample of a group (not individual) intelligence test
Army Alpha and BetaWorld War I group tests; Alpha for readers, Beta (pictures) for those who could not read EnglishThe first mass intelligence testing; Beta was the first nonverbal group test
ASVABArmed Services Vocational Aptitude BatteryThe most widely used aptitude test; used for military placement and career counseling
DATDifferential Aptitude TestsMeasures several separate aptitudes (verbal, numerical, mechanical…) for career guidance

Individual versus group tests

An individual test is given one-on-one by a trained examiner who reads the instructions, watches the person work and scores their responses. The Wechsler and Stanford-Binet are individual tests. A group test is given to many people at once with a booklet or a screen, like the SAT or the Otis-Lennon. Individual tests are richer (the examiner sees how the person approaches problems) but expensive and slow; group tests are efficient but tell you less about any one person. A counselor giving a WAIS needs specific training; a group aptitude test can be administered by a proctor.

What is intelligence, anyway? The theories

The exam names several people who argued about what intelligence is. Each gets one idea.

NameOne ideaEveryday version
Spearmang, general intelligenceOne underlying ability shows up in everything you do; people who are good at one mental task tend to be good at others
ThurstoneSeven primary mental abilitiesNo single g; instead separate abilities like verbal comprehension, number, spatial, memory
Cattell (with Horn)Fluid vs. crystallized intelligenceFluid = raw reasoning power, peaks young. Crystallized = accumulated knowledge, keeps growing with age
GuilfordStructure of intellect; convergent vs. divergent thinkingConvergent = finding the one right answer. Divergent = generating many possible answers (creativity)
GardnerMultiple intelligencesEight or more separate kinds: musical, bodily, interpersonal… not just school smarts
SternbergTriarchic theoryThree parts: analytical (book smarts), creative, practical (street smarts)
VernonHierarchical modelg on top, broad group factors below, specific skills at the bottom; a compromise between Spearman and Thurstone

The fluid/crystallized distinction shows up in aging items too: crystallized intelligence (vocabulary, general knowledge) holds up well into old age, while fluid intelligence (speed, novel problem solving) declines. That is why an older adult can be slower on a new puzzle yet know more words than a 20-year-old.

Two things that complicate IQ scores

The Flynn effect is the finding that average raw scores on IQ tests rose across the 20th century, about three points per decade. Because of it, tests have to be re-normed every so often; a person taking a 30-year-old test against 30-year-old norms will look smarter than they are.

Test bias is the concern that a test measures different things for different groups, usually because the content assumes a particular culture or language. A vocabulary item about sailing is easier for children who grew up near boats. This is why "culture-fair" tests like Raven's use shapes instead of words, and why the exam expects you to consider the norm group and the client's background before interpreting a score.

How the exam asks about this

Age picks the test. "A 5-year-old is referred for an intelligence evaluation." WPPSI. "A 40-year-old." WAIS. "A 10-year-old." WISC. Watch the overlap: a 16-year-old could take either the WISC or the WAIS.

Purpose picks the type. "Predict how a student will do in a training program" is aptitude. "Measure what students learned in the course" is achievement. "Broad reasoning ability" is intelligence.

Name the person. "Who proposed a general factor, g?" Spearman. "Who distinguished fluid and crystallized?" Cattell. "Who built the first practical intelligence test?" Binet. "Who developed the deviation IQ?" Wechsler.

Interpret a score. "A client's WAIS Full Scale IQ is 70." Two SDs below the mean, the 2nd percentile; the traditional cutoff for considering intellectual disability, though a diagnosis also requires adaptive-functioning deficits.

Exam tip. Age tells you the Wechsler: under 7 WPPSI, 6 to 16 WISC, 16 and up WAIS. Purpose tells you aptitude versus achievement: predicting the future is aptitude, measuring what was learned is achievement. And "quotient" in IQ is a fossil from Stern's division; modern IQs are deviation scores, mean 100, SD 15.
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Binet & Simon (1905) Terman (1916) Ratio IQ (Stern) Spearman's g Gardner Sternberg WPPSI / WISC / WAIS Culture-fair tests
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