Questions about the logical sequence of words ask the respondent to select the word that logically fits best in a logical sequence. The Syvum website provides examples of sample test questions about word sequences. For example, they provide a four-word sequence, each of which describes a mode of human locomotion that is increasingly faster. The problem-solving task involves selecting the word from among four options that best fits the sequence.
One kind of logical-thinking word test asks the respondent to select which word out of a group of words does not fit with the rest. Like the logical sequence question, this kind of question calls for an adequate vocabulary as well as careful reading and critical-problem solving. The Syvum website's example for this type of question lists four words that describe body parts. The task is to select the one that doesn't fit with the other three. In one example, three words are parts of the face and one is "chest"; "chest" is therefore the correct answer.
The typical standardized math test is made up of multiple-choice questions that require problem solving. Educational Testing Service, the organization dedicated to developing standardized tests, offers many examples. One example requires test takers to go through several steps, which involve computing the sum of several numbers and then finding the average of them in order to get the correct answer. Thus both addition and division are required, as well as knowing what it means to compute an average.
The Educational Testing Service offers another type of question that asks the respondent to make inferences and draw conclusions from data, using as an example a list of fictitious characteristics of congress. The test requires students to tally members in terms of party, sex, age, religion, profession. The respondent is then asked what the ratio of male members to female members would be if some females get elected and replace some male congressmen. Solving this problem requires knowing the number of current male and female congress members and adjusting those numbers to account for the added females and the decrease in males. Then, students are requires to calculate the male-female ratio.