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Test takers cannot "fail" a norm-referenced test, as each test taker receives a score that compares the individual to others that have taken the test, usually given by a percentile. This is useful when there is a wide range of acceptable scores, and the goal is to find out who performs better.
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Such exams can be important factors in the determination of final grades and therefore also in scholarship decisions, college, and university admissions. However, policies of post-secondary institutions in Canada vary concerning whether the blended exam and class grade are used or simply the class grade are used for admission. [1]
There are also a small number of candidates who sit STEP as a challenge. The papers are designed to test ability to answer questions similar in style to undergraduate Mathematics. [2] The official users of STEP in Mathematics at present are the University of Cambridge, Imperial College London, and the University of Warwick.
Tests are more expensive to grade because of this, typically $25–30 per test compared to $2–5, not including the cost of developing the test, typically different every year for every state. Tests are more difficult to grade because they are typically graded against a handful with no more than one or two example papers at each scoring level.
From the 10th grade onwards, including tertiary education, a 20-point grading scale is used, with 10 passing grades and 10 failing grades, with 20 being the highest grade possible and 9.5, rounded upwards to 10, the minimum grade for passing. This 20-point system is used both for test scores and grades.
The Test of Mathematics for University Admission is a paper-based 2 hour and 30 minute long test, which is to be completed without dictionaries or calculators. It has two papers which are taken consecutively: Paper 1: Mathematical Thinking Paper 1 has 20 multiple-choice questions, with 75 minutes allowed to complete the paper.
Sometimes, when no decimal place is used, an additional grade, 6−, is used to indicate that the student has "barely passed". In some cases, usually in high schools, fail marks may be compensated with high passes, provided the average mark is a pass. For example, a mark 4 and 9 would average at ((4 + 9) / 2) = 6.5 which makes for a pass.