ACT math prep for
M A T H   T U T O R I N G
 to redirect to home page math tutoring about math tutoring submiting contact information in

917.392.7004    email:

is a national college admissions examination that consists of subject area tests in:
English Mathematics Reading Science
The ACT Plus Writing includes the four subject area tests plus a 30-minute Writing Test. ACT results are accepted by all 4-year colleges and universities in the U.S. The ACT includes 215 multiple-choice questions and takes approximately 3 hours and 30 minutes to complete, including a short break (or just over four hours if you are taking the ACT Plus Writing). Actual testing time is 2 hours and 55 minutes (plus 30 minutes if you are taking the ACT Plus Writing). The ACT is administered on six test dates within the 50 United States and District of Columbia-in September, October, December, February, April, and June. In other locations, the ACT is administered on five test dates-all of the above dates except September.
In the Mathematics Test, three subscores are based on six content areas:
The ACT Mathematics Test is a 60-question, 60-minute test designed to measure the mathematical skills students have typically acquired in courses taken by the end of 11th grade. .The test presents multiple-choice questions that require you to use reasoning skills to solve practical problems in mathematics. You need knowledge of basic formulas and computational skills to answer the problems, but you aren't required to know complex formulas and perform extensive computation.

Elementary Algebra
Intermediate Algebra
Coordinate Geometry
Plane Geometry
Pre-Algebra " Pre-Algebra (23%). Questions in this content area are based on basic operations using whole numbers, decimals, fractions, and integers; place value; square roots and approximations; the concept of exponents; scientific notation; factors; ratio, proportion, and percent; linear equations in one variable; absolute value and ordering numbers by value; elementary counting techniques and simple probability; data collection, representation, and interpretation; and understanding simple descriptive statistics.
Elementary Algebra " Elementary Algebra (17%). Questions in this content area are based on properties of exponents and square roots, evaluation of algebraic expressions through substitution, using variables to express functional relationships, understanding algebraic operations, and the solution of quadratic equations by factoring.
" Intermediate Algebra (15%). Questions in this content area are based on an understanding of the quadratic formula, rational and radical expressions, absolute value equations and inequalities, sequences and patterns, systems of equations, quadratic inequalities, functions, modeling, matrices, roots of polynomials, and complex numbers.
Coordinate Geometry " Coordinate Geometry (15%). Questions in this content area are based on graphing and the relations between equations and graphs, including points, lines, polynomials, circles, and other curves; graphing inequalities; slope; parallel and perpendicular lines; distance; midpoints; and conics. Plane Geometry/Trigonometry
Plane Geometry " Plane Geometry (23%). Questions in this content area are based on the properties and relations of plane figures, including angles and relations among perpendicular and parallel lines; properties of circles, triangles, rectangles, parallelograms, and trapezoids; transformations; the concept of proof and proof techniques; volume; and applications of geometry to three dimensions.
Trigonometry " Trigonometry (7%). Questions in this content area are based on understanding trigonometric relations in right triangles; values and properties of trigonometric functions; graphing trigonometric functions; modeling using trigonometric functions; use of trigonometric identities; and solving trigonometric equations.
An actual ACT Mathematics Test contains 60 questions to be answered in 60 minutes
1. A car averages 27 miles per gallon. If gas costs $4.04 per gallon, which of the following is closest to how much the gas would cost for this car to travel 2,727 typical miles? A.$44.44
2.When x = 3 and y = 5, by how much does the value of 3x2 - 2y exceed the value of 2x2 - 3y ? F.4
3.What is the value of x when 2x + 3 = 3x - 4 ? A.-7
C. 1
D. 1/5
E. 7
4.What is the greatest common factor of 42, 126, and 210 ? F. 2
G. 6
5.Sales for a business were 3 million dollars more the second year than the first, and sales for the third year were double the sales for the second year. If sales for the third year were 38 million dollars, what were sales, in millions of dollars, for the first year? A.16
6.The length, in inches, of a box is 3 inches less than twice its width, in inches. Which of the following gives the length, L inches, in terms of the width, w inches, of the box? F.L = 1/2 w + 3
G.L = w + 3
H.L = w - 3
J.L = 2w + 3
K.L = 2w - 3
7.How many irrational numbers are there between 1 and 6 ? F. 1
G. 3
H. 4
J. 10
K. Infinitely many
8.A typical high school student consumes 67.5 pounds of sugar per year. As part of a new nutrition plan, each member of a track team plans to lower the sugar he or she consumes by at least 20% for the coming year. Assuming each track member had consumed sugar at the level of a typical high school student and will adhere to this plan for the coming year, what is the maximum number of pounds of sugar to be consumed by each track team member in the coming year? A. 14
E. 66
9.Which of the following is an equation of the circle with its center at (0,0) that passes through (3,4) in the standard (x,y) coordinate plane? F.x - y = 1
G.x + y = 25
H.x^2 + y = 25
J.x^2 + y^2 = 5
K.x^2 + y^2 = 25
10.Taher plans to cut the 3 pieces of lumber for the flower bed border from a single piece of lumber. Each cut takes inch of wood off the length of the piece of lumber. Among the following lengths, in inches, of pieces of lumber, which is the shortest piece that he can use to cut the pieces for the flower bed border? A.178