For sequences, students need to continue or complete a pattern by determining a rule or principle implicit in a sequence of figures, letters or numbers. This task involves recognition of progressions, spatial relationships, ordered patterns and combinations of parts to form a whole.
At level 1 (grades 2 & 3), the questions are made up of patterns and sequences of figures (i.e. the sequences are geometric, figural or mixed). At levels 2 through 6 (i.e. from grades 4 to 12), the questions are made up of patterns, sequences of figures, letters and numbers (i.e. the sequences are geometric, figural, mixed, numeric and alphabetic).
For analogies, students are given two pictures and have to determine a relationship between them, and then, given a third picture, students have to find an answer choice that produces a similar relationship to that of the first two pictures. Pictures can include scenes, animals, people, objects and abstract graphic symbols.
For quantitative reasoning, students need to solve problems and identify arithmetic patterns using quantitative reasoning processes.
At level 1 (grades 2 & 3), the questions are made up of number operations puzzles, grid comparisons and algebraic substitution (equations).
At levels 2 to 6 (i.e. grades 4 to 12), a different set of quantitative reasoning question types applies.
For verbal reasoning (words), students need to answer questions based on an understanding of the relationship between words.
There are four question types dealing with the relationship between words – necessary part of, analogous sets, category inclusion and category exclusion. Examples of these question types are shown further down the page.
For verbal reasoning (context), students need to use logical reasoning to decide which statement is true based on certain information and facts. An example is given further down the page.