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ACT Mathematics Test Scoring Strategies

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ACT Mathematics Test Scoring Strategies

shape Introduction

What is ACT about?
  • The ACT Test is a standardized test that measures a high school student’s academic skills and readiness for college by testing an individual knowledge.

  • ACT tests your English, math, science, and writing skills. It was created using extensive research into expected high school abilities and necessary college expectations. It is all about setting you up for success in college.

  • ACT is a test offered by a nonprofit organization, with the same name, ACT (American College Testing). This test is seen as one of the two major standard tests used in the United States for admission into colleges.

  • The ACT test is also often taken by students in the US to determine whether they are "ready for college". Sometimes, regardless of whether they are going to college or not, states and individual school districts require all high school students to take the ACT, using it to assess the students' learning and/or the performance of schools. It is used a standard of determining the academic performance and/or excellence of individual students, or schools at large.

What is ACT Mathematics Test? The mathematics test is a 60-question, 60-minute test designed to assess the mathematical skills students have typically acquired in courses taken up to the beginning of grade 12.
Most questions are self-contained. Some questions may belong to a set of several questions (e.g., each about the same graph or chart).
The material covered on the test emphasizes the major content areas that are prerequisites to successful performance in entry-level courses in college mathematics. Knowledge of basic formulas and computational skills are assumed as background for the problems, but recall of complex formulas and extensive computation are not required.

shape Maths

Nine scores are reported for the mathematics test: a total test score based on all 60 questions and eight reporting category scores based on specific mathematical knowledge and skills.
The approximate percentage of the test devoted to each reporting category is:
This category covers the more recent mathematics that students are learning, starting when they began using algebra as a general way of expressing and solving equations. This category is divided into five subcategories:
Number and Quantity (7–10%): Demonstrate knowledge of real and complex number systems. Reason with numerical quantities in many forms, including expressions with integer and rational exponents, and vectors and matrices.
Algebra (12–15%): Solve, graph, and model multiple types of expressions. Interpret and use many different kinds of equations, such as linear, polynomial, radical, and exponential relationships. Find solutions to systems of equations, even when represented by a simple matrix equation, and apply results to real-world contexts.
Functions (12–15%): Demonstrate knowledge of function: definition, notation, representation, and application. Use functions including linear, radical, piece wise, polynomial, and logarithmic. Manipulate and translate functions, as well as interpret and use important features of graphs.
Geometry (12–15%): Apply your knowledge of shapes and solids, using concepts such as congruence and similarity relationships or surface area and volume measurements. Apply your understanding to composite objects, and solve for missing values in triangles, circles, and other figures. Use trigonometric ratios and equations of conic sections.
Statistics and Probability (8–12%): Describe center and spread of distributions. Apply and analyze data collection methods. Understand and model relationships in bi variate data. Calculate probabilities by recognizing the related sample spaces.
This category focuses on measuring how well you can synthesize and apply your understandings and skills to solve more complex problems. The questions ask you to address concepts such as rates and percentages; proportional relationships; area, surface area, and volume; average and median; and expressing numbers in different ways. Solve non-routine problems that involve combining skills in chains of steps; applying skills in varied contexts; understanding connections; and demonstrating fluency.
This category represents all questions that involve producing, interpreting, understanding, evaluating, and improving models. Each question is also counted in other appropriate reporting categories above. This category is an overall measure of how well you use modeling skills across mathematical topics.

shape Strategies

All of the mathematics problems can be solved without a calculator. Many of the problems are best done without a calculator. Use good judgment in deciding when, and when not, to use a calculator. For example, for some problems you may wish to do scratch work to clarify your thoughts on the question before you begin using a calculator to do computations.
To work out solutions to the problems, you will usually do scratch work in the space provided. You may wish to glance over the answer choices after reading the questions. However, working backwards from all five answer choices can take a lot of time and may not be effective.
Once you have solved the problem, look for your answer among the choices. If your answer is not included among the choices, carefully reread the problem to see whether you missed important information. Pay careful attention to the question being asked. If an equation is to be selected, check to see whether the equation you think is best can be transformed into one of the answer choices provided.
The solutions to many questions on the test will involve several steps. Make sure your answer accounts for all the necessary steps. Frequently, an answer choice is an intermediate result, not the final answer.
Sometimes an error in computation will result in an answer that is not practically possible for the situation described. Always think about your answer to determine whether it is reasonable.
You may arrive at an incorrect solution by making common errors in the problem-solving process. If there is time remaining before the end of the mathematics test, it is important that you reread the questions and check your answers to make sure they are correct.

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