EmSAT Math College Entry Exam Sample Items English - Practice Questions

Sep 30, 2026

Upload by Marglet

EmSAT Math Achieve is a computer-based assessment organized into three timed sections: Algebra, Geometry, and Statistics. The test randomizes sections, questions, and options, while candidates can monitor remaining time throughout. Algebra emphasizes polynomial operations, zeros and factors, rational function rewrites, equation reasoning, function concepts and modeling, plus trigonometric extensions, exponential and periodic modeling, complex numbers, vectors, and matrices. Geometry focuses on transformations, triangle trigonometry, circle theorems, rigid motions and conics, congruence and similarity, coordinate proofs, and volume applications.

LanguageEnglish

CategoryExam

FormatPDF

Pages17

Reading Time43 min

AccessFree to download

Test Overview

Timing, Randomization, and Navigation

Section 1: Algebra

Expressions, Polynomials, and Rational Functions

Equations, Functions, and Modeling

Trigonometry, Exponents, Complex Numbers, Vectors, and Matrices

Section 2: Geometry

Transformations, Triangles, and Circles

Congruence, Similarity, and Coordinate Proofs

Trigonometry and Volume Formulas

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Total Time for Test: 60 questions: 2 hours
EmSAT Math Achieve isa computer-based test and has 3 major sections - Algebra, Geometry, andStatistics. Test sections, questions, and options are randomized. Sections and subsectionsofthe test aretimed by the computer. Test takers can see how much time they have throughout the test.
Section 1: Algebra
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􀁸 Interpret the structure of expressionsWrite expressionsin equivalent formsto solve problems
Perform arithmetic operationsonpolynomials
Understand the relationship betweenzerosand factors of polynomialsUse polynomial identities to solveproblems
Rewrite rational functions
Create equations that describenumbers or relationshipsUnderstand solving equations asaprocess of reasoning and explain thereasoning
Solve equations and inequalities inone variable
Solve systems of equationsRepresent and solve equations andinequalities graphically
Understand the concept of a functionand use function notation
Interpret functions that arise inapplications in terms of the contextAnalyze functions using differentrepresentations
Build a function that models arelationship between two quantitiesBuild new functions from existingfunctions 􀁸
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􀁸􀁸 Construct and compare linear andexponential models and solveproblems
Interpret expressions forfunctions in terms of the situationthey model
Extend the domain oftrigonometric functions using theunit circle
Model periodic phenomena withtrigonometric functions
Prove and apply trigonometricidentities
Extend the properties ofexponents to rational exponentsUse properties of rational andirrational numbers.
Reason quantitatively and useunits to solve problemsPerform operations with complexnumbers
Represent and model with vectorquantities.
Perform operationson vectors.Perform operationson matricesand use matrices in applications
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Ministry of Education Academic Year 2017-2018
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Sample Question 1Answer: C

Sample Question 2Answer: C
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Sample Question 3Answer: C

Sample Question 4Answer: B
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Sample Question 5Answer: 1078

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Section 2: Geometry
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􀁸􀁸 Experiment with transformationsinthe plane 􀁸􀁸 Apply trigonometry to general trianglesUnderstand and apply theorems about circles Understand congruence in terms of 􀁸 Translate between the geometric description rigid motions andthe equation fora conic section Prove geometric theorems 􀁸 Use coordinates to prove simple geometric Understand similarity in terms of theorems algebraically similarity transformations 􀁸 Explain volume formulasand use them to Prove theorems involving similarity solve problems Define trigonometric ratiosand solve 􀁸 Visualize relationships between two- problems involving right triangles dimensional and three-dimensionalobjects
Sample Question 1Answer: B

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Sample Ques

FAQs

How is the EmSAT Math Achieve test structured?

The test is a computer-based assessment with three major sections: Algebra, Geometry, and Statistics. Sections, questions, and options are randomized.

What does the Algebra section cover?

It covers interpreting and transforming expressions, polynomial arithmetic, zeros and factors, rational function rewrites, and building and analyzing functions. It also includes solving equations and inequalities and applying modeling, trigonometric identities, exponents, complex numbers, vectors, and matrices.

What topics are included in the Geometry section?

Geometry includes transformations in the plane, trigonometry in general triangles and right triangles, circle theorems, congruence via rigid motions, translating between geometric descriptions and conic equations, and coordinate/similarity reasoning. It also addresses volume formulas for solving problems.

Sep 30, 2026

Upload by Marglet