Georgia GACE Middle Grades Math (4-8) Assessment Practice Test
The Georgia GACE Middle Grades Math (4-8) Assessment practice page covers mathematical reasoning and problem solving across number, algebra, geometry, measurement, and data. Its question bank samples skills such as calculating with integers and percentages, simplifying powers, interpreting quartiles, finding areas and volumes, and using angle relationships. These contexts help connect mathematical procedures with the representations and explanations middle-grade learners encounter.
Exam overview
About the Georgia GACE Middle Grades Math (4-8) Assessment Exam
Middle-grades mathematics requires choosing an appropriate operation or model, carrying out calculations accurately, and interpreting what a result means in context. Practice with integer changes, discounts, and percent increases strengthens attention to signed values, proportional relationships, and the distinction between a percent amount and a final price. Exponent problems call for applying product rules, while division contexts test whether quantities are partitioned equally. Geometry tasks involve selecting formulas for area and volume, identifying missing dimensions, and using the angle sum of a triangle. Data questions require organizing values, identifying the lower and upper halves of an ordered set, and calculating the interquartile range from quartiles. For teaching, these skills support clear explanations of procedures, the use of units and labels, and recognition of common errors such as confusing area with perimeter or volume with surface area.
Sample Practice Questions
Review a selection from this exam's published US Practice Tests practice bank.
The ordered data set is 2, 4, 6, 8, 10, 12. What is the interquartile range, using the median of each half to find the quartiles?
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Correct answer: AThe lower half is 2, 4, 6, whose median is Q1 = 4. The upper half is 8, 10, 12, whose median is Q3 = 10. The interquartile range is Q3 − Q1 = 10 − 4 = 6. Correction: the correct value is 6, option B.
A $50 item is discounted by 20%. What is the sale price before tax?
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Correct answer: CTwenty percent of $50 is $10. Subtract the $10 discount from the original price: $50 − $10 = $40.
A rectangular prism has a volume of 120 cubic centimeters. Its base measures 8 centimeters by 5 centimeters. What is its height?
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Correct answer: BVolume equals base area times height. The base area is 8 × 5 = 40 square centimeters, so the height is 120 ÷ 40 = 3 centimeters.
A temperature is −6°C in the morning and rises by 11°C. What is the new temperature?
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Correct answer: CAn increase of 11 degrees means add 11 to the initial temperature: −6 + 11 = 5°C.
A rectangular floor is 9 feet wide and 14 feet long. What is its area?
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Correct answer: CThe area of a rectangle is length times width, so 14 × 9 = 126 square feet.
Two angles of a triangle measure 48° and 67°. What is the measure of the third angle?
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Correct answer: BThe interior angles of a triangle sum to 180°. The third angle is 180° − 48° − 67° = 65°.
A price of $80 is increased by 15%. What is the new price?
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Correct answer: BFifteen percent of $80 is 0.15 × 80 = $12. Add the increase to the original price: $80 + $12 = $92.
How to use this practice test
Access the free practice set to work through up to 20 random questions from the 50-question bank in a session. After completing the session, review the results to identify which calculations or concepts need another pass, such as percent change, exponent rules, geometric formulas, or quartiles.
Preparation tips
- For percent-change problems, calculate the change separately, then add it to or subtract it from the starting amount; label whether the requested value is the change or the final price.
- When working with integers, mark the starting value and direction of change on a number line before calculating, especially when a change crosses zero.
- Write the relevant formula before solving geometry questions; include units and rearrange volume = base area × height when a dimension is missing.
- For interquartile range questions, order the data, divide it into the specified halves, find each half’s median, then subtract Q1 from Q3.
- Explain exponent simplification by naming the shared base and adding exponents only when multiplying powers with that same base.