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100+ Free GACE Middle Grades Mathematics (4-8) (704) Practice Questions

Pass your GACE Middle Grades Mathematics (4-8) Assessment (Test Code 704) exam on the first try — instant access, no signup required.

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2026 Statistics

Key Facts: GACE Middle Grades Mathematics (4-8) (704) Exam

220

Passing Scaled Score

GACE 704 test page

$84.50

Test Fee (2026)

GACE 704 registration

100 selected-response

Test Format

GACE 704 test page

3.5 hours

Testing Time

GACE 704 test page

3 testlets

Test Structure

GACE 704 test page

40 questions

Largest Testlet (Number Sense and Data)

GACE 704 test page

100-300

Scaled Score Range

GACE 704 score information

$28.50

Per-Testlet Fee

GACE 704 registration

GACE Middle Grades Mathematics (4-8) (704) is Georgia's middle grades math content assessment, administered by Pearson for the GaPSC as a computer-delivered exam with 100 selected-response questions across three testlets. Testlet 101 (Number Sense, Operations, Statistics, and Probability) has 40 questions and 1.5 hours; Testlet 102 (Algebra and Functions) has 30 questions and 1 hour; Testlet 103 (Measurement and Geometry) has 30 questions and 1 hour, for 3.5 hours of total testing time. You must earn a scaled score of 220 (on a 100-300 scale) and meet the minimum score on each testlet. The current combined fee is $84.50 ($28.50 per testlet). This free 100-question bank mirrors the testlet weighting so candidates can practice across every content area.

Sample GACE Middle Grades Mathematics (4-8) (704) Practice Questions

Try these sample questions to test your GACE Middle Grades Mathematics (4-8) (704) exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Evaluate the expression 8 + 4 x 3 - 6 / 2 using the order of operations.
A.17
B.15
C.21
D.33
Explanation: Following the order of operations (PEMDAS), multiplication and division are done first, left to right: 4 x 3 = 12 and 6 / 2 = 3. Then 8 + 12 - 3 = 17.
2Which property of real numbers is illustrated by the statement 3 x (5 + 2) = 3 x 5 + 3 x 2?
A.Distributive property
B.Associative property
C.Commutative property
D.Identity property
Explanation: The distributive property of multiplication over addition states that a x (b + c) = a x b + a x c. Here, the factor 3 is distributed across the sum (5 + 2).
3What is the value of (-3)^4?
A.81
B.-81
C.-12
D.12
Explanation: Because the entire quantity -3 is raised to the 4th power, it equals (-3)(-3)(-3)(-3). An even number of negative factors produces a positive result: 81.
4Express the number 0.000045 in scientific notation.
A.4.5 x 10^-5
B.4.5 x 10^-4
C.45 x 10^-6
D.4.5 x 10^5
Explanation: In scientific notation the coefficient must be at least 1 and less than 10. Moving the decimal point 5 places to the right to get 4.5 means the exponent is -5, so 0.000045 = 4.5 x 10^-5.
5Which of the following lists the numbers -1.5, 3/4, -2, and 1.2 in order from least to greatest?
A.-2, -1.5, 3/4, 1.2
B.-1.5, -2, 3/4, 1.2
C.-2, -1.5, 1.2, 3/4
D.3/4, 1.2, -1.5, -2
Explanation: Converting to decimals: -2, -1.5, 0.75, and 1.2. Ordered from least to greatest, the most negative value comes first: -2, -1.5, 3/4, 1.2.
6Simplify the radical expression the square root of 72.
A.6 times the square root of 2
B.8 times the square root of 3
C.36 times the square root of 2
D.2 times the square root of 6
Explanation: Factor 72 into 36 x 2, where 36 is a perfect square. The square root of 72 = the square root of 36 times the square root of 2 = 6 times the square root of 2.
7A jacket originally priced at $80 is on sale for 25% off. What is the sale price?
A.$60
B.$55
C.$20
D.$75
Explanation: A 25% discount removes 0.25 x 80 = $20 from the price. The sale price is 80 - 20 = $60, equivalent to paying 75% of the original price (0.75 x 80 = 60).
8Convert the fraction 3/8 to a decimal.
A.0.375
B.0.38
C.0.3
D.0.625
Explanation: Dividing 3 by 8 gives exactly 0.375. Because the denominator 8 is a power of 2, the decimal terminates.
9What is the result of dividing 3/4 by 2/3?
A.9/8
B.1/2
C.6/12
D.8/9
Explanation: To divide by a fraction, multiply by its reciprocal: 3/4 / 2/3 = 3/4 x 3/2 = 9/8. Dividing by a fraction less than 1 yields a result larger than the original.
10A student computes 4.97 x 19.8 and gets 984.06. Using estimation, why is this answer unreasonable?
A.5 x 20 = 100, so the product should be near 100, not near 1000
B.5 x 20 = 1000, so the answer is correct
C.The product should be near 24, the sum of the factors
D.The product should be exactly 98.4
Explanation: Rounding the factors to 5 and 20 gives an estimate of 5 x 20 = 100. The student's answer of about 984 is roughly ten times too large, indicating a misplaced decimal point.

About the GACE Middle Grades Mathematics (4-8) (704) Exam

The GACE Middle Grades Mathematics (4-8) assessment (test code 704) measures the content knowledge of prospective Georgia middle school mathematics teachers. The computer-delivered test contains 100 selected-response questions organized into three testlets: Number Sense, Number Operations, Statistics, and Probability (Testlet 101, 40 questions); Algebra and Functions (Testlet 102, 30 questions); and Measurement and Geometry (Testlet 103, 30 questions). Testlets may be taken in a single session or scheduled separately.

Questions

100 scored questions

Time Limit

3.5 hours of testing across 3 testlets (Testlet 101: 1.5 hours; Testlets 102 and 103: 1 hour each)

Passing Score

220 scaled score (100-300 scale), plus a minimum score on each testlet

Exam Fee

$84.50 (GaPSC / Pearson)

GACE Middle Grades Mathematics (4-8) (704) Exam Content Outline

40% of this test

Number Sense, Number Operations, Statistics, and Probability (Testlet 101)

Operations and properties of the real number system; relationships among fractions, decimals, and percents; ratios and proportional reasoning including rates, scale factors, and percent problems; number theory such as factors, multiples, and prime factorization; estimation and reasonableness; interpreting data displays; measures of central tendency and spread; sampling and statistical inference; and probability with counting techniques. This testlet has 40 selected-response questions and a 1.5-hour time limit.

30% of this test

Algebra and Functions (Testlet 102)

Evaluating and manipulating algebraic expressions, polynomials, and rational expressions; constructing and solving linear equations and inequalities, nonlinear equations, and systems; recognizing and representing linear relationships and sequences and patterns; and identifying, evaluating, and graphing functions including domain, range, slope, intercepts, and modeling. This testlet has 30 selected-response questions and a 1-hour time limit.

30% of this test

Measurement and Geometry (Testlet 103)

Perimeter and area of plane figures, surface area and volume of solids, similarity and congruence, properties of lines and angles, triangles (including the Pythagorean theorem), quadrilaterals, polygons, and circles, coordinate geometry with distance, midpoint, slope, and transformations, and systems of measurement with unit conversion. This testlet has 30 selected-response questions and a 1-hour time limit.

How to Pass the GACE Middle Grades Mathematics (4-8) (704) Exam

What You Need to Know

  • Passing score: 220 scaled score (100-300 scale), plus a minimum score on each testlet
  • Exam length: 100 questions
  • Time limit: 3.5 hours of testing across 3 testlets (Testlet 101: 1.5 hours; Testlets 102 and 103: 1 hour each)
  • Exam fee: $84.50

Keys to Passing

  • Complete 500+ practice questions
  • Score 80%+ consistently before scheduling
  • Focus on highest-weighted sections
  • Use our AI tutor for tough concepts

GACE Middle Grades Mathematics (4-8) (704) Study Tips from Top Performers

1Allocate study time by testlet weight: Number Sense and Data is the largest at 40 questions, followed by Algebra and Functions and Geometry and Measurement at 30 questions each
2Practice multi-step problems in ratios, percents, linear equations, and area and volume because the selected-response items reward calculation fluency
3Because each testlet has a minimum score, do not neglect any content area; review your weakest testlet first
4Memorize core relationships (area and volume formulas, the Pythagorean theorem, slope, and the distance and midpoint formulas) and use the provided reference sheet for the rest
5Use estimation and dimensional analysis to check the reasonableness of answers under time pressure
6Rehearse common middle-grades misconceptions, such as order-of-operations errors and confusing area with perimeter, so you can avoid distractor traps

Frequently Asked Questions

What is on the GACE Middle Grades Mathematics (4-8) (704) test?

The test is organized into three testlets: Number Sense, Number Operations, Statistics, and Probability (Testlet 101, 40 questions); Algebra and Functions (Testlet 102, 30 questions); and Measurement and Geometry (Testlet 103, 30 questions). All questions are selected-response, covering real number operations, ratios and proportions, algebra, functions, geometry, measurement, data analysis, and probability.

How many questions are on the GACE 704 test and what is the format?

The computer-delivered test has 100 selected-response questions and no constructed-response items. They are split across three testlets of 40, 30, and 30 questions that you can take in one session or schedule separately.

What is the passing score for GACE Middle Grades Math (704)?

You need a scaled score of 220 on a 100-300 scale to pass. In addition to the overall score, you must meet a minimum score on each of the three testlets, so you cannot offset a very weak testlet with strong scores elsewhere.

How much does the GACE Middle Grades Math (704) test cost in 2026?

The combined registration fee for all three testlets is $84.50, or $28.50 per testlet if you take them individually. Testing at an international site adds a $50 fee. Always confirm the current amount in your Pearson registration account before checkout.

How long is the GACE Middle Grades Math (704) test?

Total testing time is 3.5 hours. Testlet 101 allows 1.5 hours for its 40 questions, while Testlets 102 and 103 each allow 1 hour for their 30 questions. Plan additional time for check-in, tutorials, and the nondisclosure agreement.

Is a calculator allowed on the GACE Middle Grades Math (704) test?

An on-screen calculator and a reference sheet of common formulas are provided within the computer-delivered testing platform, so you do not bring your own. Practice solving problems with the provided tools rather than memorizing every formula.