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Math. Numerical Operations: evaluates the ability to identify and write numbers ( e.g. counting, and solving paper & pencil computations). Math Reasoning: assess the ability to reason mathematically ( e.g. counting, identifying shapes, and solving verbally framed "word problems" [presented both orally and either written or in illustration]).
The test purports to assess students' acquired reasoning abilities while also predicting achievement scores when administered with the co-normed Iowa Tests. The test was originally published in 1954 as the Lorge-Thorndike Intelligence Test, after the psychologists who authored the first version of it, Irving Lorge and Robert L. Thorndike. [1]
The aim of this practice was to meet affirmative-action goals and to counteract alleged racial bias in aptitude tests administered to job applicants,. [5] Race-norming was also applied to neuropsychological tests, to reduce the number of blacks theoretically misclassified as cognitively impaired. [6]
The WAIS-R, a revised form of the WAIS, was released in 1981 and consisted of six verbal and five performance subtests. The verbal tests were: Information, Comprehension, Arithmetic, Digit Span, Similarities, and Vocabulary. The Performance subtests were: Picture Arrangement, Picture Completion, Block Design, Object Assembly, and Digit Symbol.
The American Invitational Mathematics Examination (AIME) is a selective and prestigious 15-question 3-hour test given since 1983 to those who rank in the top 5% on the AMC 12 high school mathematics examination (formerly known as the AHSME), and starting in 2010, those who rank in the top 2.5% on the AMC 10.
To assess job applicants, psychometric numerical reasoning tests have been created by occupational psychologists, who are involved in the study of numeracy. These tests are used to assess ability to comprehend and apply numbers. They are sometimes administered with a time limit, so that the test-taker must think quickly and concisely.
This process can be extended to find cube roots that are 3 digits long, by using arithmetic modulo 11. [3] These types of tricks can be used in any root where the order of the root is coprime with 10; thus it fails to work in square root, since the power, 2, divides into 10. 3 does not divide 10, thus cube roots work.
The Differential Ability Scales (DAS) is a nationally normed (in the US), and individually administered battery of cognitive and achievement tests. Into its second edition (DAS-II), the test can be administered to children ages 2 years 6 months to 17 years 11 months across a range of developmental levels.
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