FREE
SSAT Upper Level Math Practice Tests

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Free SSAT Upper Level Math Diagnostic Tests

Take the Varsity Learning Tools free diagnostic test for SSAT Upper Level Math to determine which academic concepts you understand and which ones require your ongoing attention. Each SSAT Upper Level Math problem is tagged down to the core, underlying concept that is being tested. The SSAT Upper Level Math diagnostic test results highlight how you performed on each area of the test. You can then utilize the results to create a personalized study plan that is based on your particular area of need.

SSAT Upper Level Math Diagnostic Test 1

Questions: 40
Test Difficulty:
Average Time Spent: 1 hrs 40 mins

SSAT Upper Level Math Diagnostic Test 2

Questions: 40
Test Difficulty:
Average Time Spent: 7 hrs 55 mins

SSAT Upper Level Math Diagnostic Test 3

Questions: 50
Test Difficulty:
Average Time Spent: 2 hrs 53 mins

SSAT Upper Level Math Diagnostic Test 4

Questions: 50
Test Difficulty:
Average Time Spent: 2 hrs 31 mins

SSAT Upper Level Math Diagnostic Test 5

Questions: 50
Test Difficulty:
Average Time Spent: 5 hrs 48 mins

SSAT Upper Level Math Diagnostic Test 6

Questions: 50
Test Difficulty:
Average Time Spent: 3 hrs 9 mins

Are you anxious about the Quantitative sections on the Upper Level SSAT? You’re not the only one; many students, especially those for whom math is not their strongest subject, find the Upper Level SSAT’s Quantitative sections to be the test’s most challenging; however, by arming yourself with information about how the Upper Level SSAT structures its Quantitative sections, the topics that they test, and some great free resources available to help you study, you can prepare yourself adequately for the Upper Level SSAT’s Quantitative sections in no time!

The Quantitative sections of the Upper Level SSAT tests your ability to use mathematical concepts to solve a variety of problems. The sections are entirely multiple-choice, and each question has four answer choices. There are two Quantitative sections on every Upper Level SSAT: the first is the first multiple-choice section given after the Writing Sample, and the second is the last scored section on the exam, coming after the Verbal section, but before the Experimental section. Each Quantitative section on the Upper Level SSAT contains 25 problems that you are given 30 minutes to solve, so in total, the test gives you an hour to solve fifty math problems. The Upper Level SSAT’s Quantitative sections cover four main categories of mathematical topics. The first category is Number Concepts and Operations; it covers arithmetic word problems including those that test percents and ratios; basic concepts of addition, subtraction, multiplication, and division; estimation; rational numbers; sequences and series; and frequencies. The second category, Algebra, tests properties of exponents; algebraic word problems; equations of lines; patterns; and absolute value. The third category, Geometry and Measurement, tests your ability to find the area and circumference of a circle; the area and perimeter of a polygon, and the volume of a cube, cylinder, or box; it also tests the Pythagorean theorem and properties or right, isosceles, and equilateral triangles, properties of parallel and perpendicular lines, coordinate geometry, and slope. The final category of topics tested on the Upper Level SSAT’s Quantitative sections is Data Analysis and Probability; questions that fall into this category test your ability to interpret data like tables and graphs, trends and inferences, and probability.

If mention of any of the above topics has made you suddenly apprehensive about your knowledge, and you’re fighting an urge to go review different types of triangles and how to work with exponents, you should go check out Varsity Tutors’ free Upper Level SSAT Quantitative Practice Tests. Each Upper Level SSAT Quantitative Practice test consists of between ten and twelve problems. If you want to review a comprehensive selection of topics tested on the Upper Level SSAT’s Quantitative section, you can do so, but you can also choose to be presented with questions from a specific topic. After completing a Practice Test, you are presented with detailed statistics about how you did in comparison to other students who answered the exact same problems. Detailed answer explanations are provided for each problem, so if you missed one and are not sure where you went wrong, you can find out and prevent yourself from making the same mistake in the future.

To get an idea of your skill level, kick-start your review by taking a free online Full-Length Upper Level SSAT Quantitative Practice Test. Each of the complete practice tests present questions on the entire range of concepts that may be covered on the real test. The exam-mimicking format also offers you the chance to check your test-taking speed to ensure you’ll have time to finish the whole section on exam day. The results page for the complete practice tests contains all of the helpful features you get on the results pages for the concept-specific practice tests, like detailed explanations for each answer and links to essential formulas. Each full-length SSAT practice test can help you streamline your study plan by assisting you in narrowing down the list of topics you need to review. After you have worked through your study plan, you can check your progress by taking another Full-Length Upper Level SSAT Quantitative Practice Test.

You can use Varsity Tutors’ free SSAT Upper Level Practice Tests to analyze your current skill level, identify what you most need to work on, and focus on problems that deal with those topics specifically. By doing this, you will be studying both efficiently and effectively for the Upper Level SSAT’s Quantitative section, and will be able to be totally confident of your mathematical prowess on test day!

 

Free SSAT Upper Level Math Practice Tests

Our completely free SSAT Upper Level Math practice tests are the perfect way to brush up your skills. Take one of our many SSAT Upper Level Math practice tests for a run-through of commonly asked questions. You will receive incredibly detailed scoring results at the end of your SSAT Upper Level Math practice test to help you identify your strengths and weaknesses. Pick one of our SSAT Upper Level Math practice tests now and begin!

Practice Tests by Concept

Algebra practice test

Questions: 40
Test Difficulty:
Average Time Spent: 1 hrs 47 mins

Absolute value practice test

Questions: 4
Test Difficulty:
Average Time Spent: 15 mins

How to find absolute value practice test

Questions: 4
Test Difficulty:
Average Time Spent: 4 mins

Algebraic word problems practice test

Questions: 10
Test Difficulty:
Average Time Spent: 19 mins

How to solve algebraic word problems practice test

Questions: 10
Test Difficulty:
Average Time Spent: 25 mins

Equations of lines practice test

Questions: 3
Test Difficulty:
Average Time Spent: 2 mins 33 secs

How to find the equation of a line practice test

Questions: 3
Test Difficulty:
Average Time Spent: 2 mins 20 secs

Patterns practice test

Questions: 11
Test Difficulty:
Average Time Spent: 18 mins

How to find algebraic patterns practice test

Questions: 11
Test Difficulty:
Average Time Spent: 11 mins

Properties of exponents practice test

Questions: 13
Test Difficulty:
Average Time Spent: 4 hrs 30 mins

How to find the properties of an exponent practice test

Questions: 13
Test Difficulty:
Average Time Spent: 8 mins

Data analysis / probablility practice test

Questions: 15
Test Difficulty:
Average Time Spent: 1 hrs 12 mins

Inferences and trends practice test

Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 9 secs

How to recognize a trend practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 1 secs

Interpretation of tables and graphs practice test

Questions: 5
Test Difficulty:
Average Time Spent: 7 mins

How to interpret venn diagrams practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 46 secs

How to read graphs practice test

Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 6 secs

How to read tables practice test

Questions: 1
Test Difficulty:
Average Time Spent: 2 mins 24 secs

Probability practice test

Questions: 10
Test Difficulty:
Average Time Spent: 7 mins

Outcomes practice test

Questions: 10
Test Difficulty:
Average Time Spent: 7 mins

How to find the probability of an outcome practice test

Questions: 10
Test Difficulty:
Average Time Spent: 10 mins

Geometry practice test

Questions: 34
Test Difficulty:
Average Time Spent: 3 hrs 9 mins

Area and circumference of a circle practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 16 secs

How to find the area of a circle practice test

Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 46 secs

How to find the circumference of a circle practice test

Questions: 2
Test Difficulty:
Average Time Spent: 52 secs

Areas and perimeters of polygons practice test

Questions: 8
Test Difficulty:
Average Time Spent: 10 mins

Area of polygons practice test

Questions: 2
Test Difficulty:
Average Time Spent: 3 mins

How to find the area of a hexagon practice test

Questions: 12
Test Difficulty:
Average Time Spent: 5 mins

How to find the area of a parallelogram practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 15 secs

How to find the area of a pentagon practice test

Questions: 13
Test Difficulty:
Average Time Spent: 6 mins

How to find the area of a rectangle practice test

Questions: 1
Test Difficulty:
Average Time Spent: 1 mins 49 secs

How to find the area of a square practice test

Questions: 1
Test Difficulty:
Average Time Spent: 1 mins 31 secs

Perimeter of polygons practice test

Questions: 6
Test Difficulty:
Average Time Spent: 4 mins

How to find the perimeter of a hexagon practice test

Questions: 1
Test Difficulty:
Average Time Spent: 40 secs

How to find the perimeter of a parallelogram practice test

Questions: 6
Test Difficulty:
Average Time Spent: 6 mins

How to find the perimeter of a pentagon practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 34 secs

How to find the perimeter of a rectangle practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 45 secs

How to find the perimeter of a square practice test

Questions: 1
Test Difficulty:
Average Time Spent: 26 secs

Coordinate geometry practice test

Questions: 13
Test Difficulty:
Average Time Spent: 12 mins

Circles practice test

Questions: 3
Test Difficulty:
Average Time Spent: 58 secs

How to find the equation of a circle practice test

Questions: 3
Test Difficulty:
Average Time Spent: 3 mins

Graphing practice test

Questions: 6
Test Difficulty:
Average Time Spent: 3 mins

How to graph a function practice test

Questions: 2
Test Difficulty:
Average Time Spent: 5 mins

How to graph a point practice test

Questions: 12
Test Difficulty:
Average Time Spent: 1 mins 57 secs

How to graph a quadratic function practice test

Questions: 1
Test Difficulty:
Average Time Spent: 37 secs

How to graph an ordered pair practice test

Questions: 12
Test Difficulty:
Average Time Spent: 2 mins 35 secs

How to graph complex numbers practice test

Questions: 5
Test Difficulty:
Average Time Spent: 12 hrs 45 mins

How to graph inverse variation practice test

Questions: 6
Test Difficulty:
Average Time Spent: 1 mins 5 secs

Lines practice test

Questions: 5
Test Difficulty:
Average Time Spent: 3 mins

Distance formula practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 12 secs

How to find the length of a line with distance formula practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 46 secs

Midpoint formula practice test

Questions: 4
Test Difficulty:
Average Time Spent: 8 mins

How to find the endpoints of a line segment practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 57 secs

How to find the midpoint of a line segment practice test

Questions: 2
Test Difficulty:
Average Time Spent: 52 secs

Other lines practice test

Questions: 3
Test Difficulty:
Average Time Spent: 3 mins

How to find out if a point is on a line with an equation practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 18 secs

How to find slope of a line practice test

Questions: 8
Test Difficulty:
Average Time Spent: 6 mins

How to find the equation of a line practice test

Questions: 9
Test Difficulty:
Average Time Spent: 32 secs

Parallel lines practice test

Questions: 3
Test Difficulty:
Average Time Spent: 55 secs

How to find out if lines are parallel practice test

Questions: 4
Test Difficulty:
Average Time Spent: 1 mins 18 secs

How to find the equation of a parallel line practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 30 secs

How to find the slope of parallel lines practice test

Questions: 2
Test Difficulty:
Average Time Spent: 41 secs

Perpendicular lines practice test

Questions: 1
Test Difficulty:
Average Time Spent: 1 mins 9 secs

How to find out if lines are perpendicular practice test

Questions: 1
Test Difficulty:
Average Time Spent: 1 mins 23 secs

How to find the equation of a perpendicular line practice test

Questions: 8
Test Difficulty:
Average Time Spent: 7 mins

How to find the slope of perpendicular lines practice test

Questions: 8
Test Difficulty:
Average Time Spent: 5 mins

Tangent lines practice test

Questions: 2
Test Difficulty:
Average Time Spent: 43 secs

How to find the equation of a tangent line practice test

Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 30 secs

How to find the slope of tangent lines practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 18 secs

How to find the slope of tangent lines practice test

Questions: 1
Test Difficulty:

Slope practice test

Questions: 4
Test Difficulty:
Average Time Spent: 14 mins

How to find slope practice test

Questions: 4
Test Difficulty:
Average Time Spent: 3 mins

Transformation practice test

Questions: 8
Test Difficulty:
Average Time Spent: 10 mins

How to find transformation for an analytic geometry equation practice test

Questions: 8
Test Difficulty:
Average Time Spent: 4 mins

X and y intercept practice test

Questions: 2
Test Difficulty:
Average Time Spent: 50 secs

How to find the equation of a curve practice test

Questions: 13
Test Difficulty:
Average Time Spent: 3 mins

How to find x or y intercept practice test

Questions: 2
Test Difficulty:
Average Time Spent: 38 secs

Properties of parallel and perpendicular lines practice test

Questions: 3
Test Difficulty:
Average Time Spent: 2 mins 12 secs

How to find whether lines are parallel practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 18 secs

How to find whether lines are perpendicular practice test

Questions: 3
Test Difficulty:
Average Time Spent: 1 mins 52 secs

Properties of triangles practice test

Questions: 7
Test Difficulty:
Average Time Spent: 5 mins

Acute / obtuse triangles practice test

Questions: 3
Test Difficulty:
Average Time Spent: 1 mins 55 secs

How to find an angle in an acute / obtuse triangle practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 14 secs

How to find if acute / obtuse triangles are congruent practice test

Questions: 1
Test Difficulty:
Average Time Spent: 21 secs

How to find if two acute / obtuse triangles are similar practice test

Questions: 12
Test Difficulty:
Average Time Spent: 12 mins

How to find the area of an acute / obtuse triangle practice test

Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 2 secs

How to find the height of an acute / obtuse triangle practice test

Questions: 12
Test Difficulty:
Average Time Spent: 7 mins

How to find the length of the side of an acute / obtuse triangle practice test

Questions: 13
Test Difficulty:
Average Time Spent: 11 mins

How to find the perimeter of an acute / obtuse triangle practice test

Questions: 2
Test Difficulty:
Average Time Spent: 17 secs

Equilateral triangles practice test

Questions: 2
Test Difficulty:
Average Time Spent: 3 mins

How to find the area of an equilateral triangle practice test

Questions: 2
Test Difficulty:
Average Time Spent: 19 secs

How to find the height of a triangle practice test

Questions: 8
Test Difficulty:
Average Time Spent: 3 mins

How to find the length of the side of an equilateral triangle practice test

Questions: 3
Test Difficulty:
Average Time Spent: 16 secs

How to find the perimeter of an equilateral triangle practice test

Questions: 5
Test Difficulty:

Right triangles practice test

Questions: 4
Test Difficulty:
Average Time Spent: 2 mins 9 secs

How to find an angle in a right triangle practice test

Questions: 2
Test Difficulty:
Average Time Spent: 53 secs

How to find if right triangles are congruent practice test

Questions: 2
Test Difficulty:

How to find if right triangles are similar practice test

Questions: 2
Test Difficulty:

How to find the area of a right triangle practice test

Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 47 secs

How to find the height of a right triangle practice test

Questions: 3
Test Difficulty:
Average Time Spent: 1 mins 24 secs

How to find the length of the hypotenuse of a right triangle : pythagorean theorem practice test

Questions: 1
Test Difficulty:
Average Time Spent: 30 secs

How to find the length of the side of a right triangle practice test

Questions: 4
Test Difficulty:
Average Time Spent: 5 mins

How to find the perimeter of a right triangle practice test

Questions: 1
Test Difficulty:
Average Time Spent: 1 mins 43 secs

Volume of a three-dimensional figure practice test

Questions: 3
Test Difficulty:
Average Time Spent: 12 mins

How to find the volume of a cone practice test

Questions: 1
Test Difficulty:
Average Time Spent: 1 mins 48 secs

How to find the volume of a cube practice test

Questions: 1
Test Difficulty:
Average Time Spent: 1 mins 17 secs

How to find the volume of a cylinder practice test

Questions: 5
Test Difficulty:
Average Time Spent: 7 mins

How to find the volume of a polyhedron practice test

Questions: 12
Test Difficulty:
Average Time Spent: 4 mins

How to find the volume of a prism practice test

Questions: 3
Test Difficulty:
Average Time Spent: 3 mins

How to find the volume of a pyramid practice test

Questions: 3
Test Difficulty:
Average Time Spent: 3 mins

How to find the volume of a sphere practice test

Questions: 1
Test Difficulty:
Average Time Spent: 1 mins 35 secs

How to find the volume of a tetrahedron practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 38 secs

Number concepts and operations practice test

Questions: 40
Test Difficulty:
Average Time Spent: 37 mins

Arithmetic word problems practice test

Questions: 9
Test Difficulty:
Average Time Spent: 13 mins

How to solve arithmetic word problems practice test

Questions: 9
Test Difficulty:
Average Time Spent: 8 mins

Basic addition, subtraction, multiplication and division practice test

Questions: 13
Test Difficulty:
Average Time Spent: 11 mins

How to add practice test

Questions: 5
Test Difficulty:
Average Time Spent: 2 mins 48 secs

How to divide square roots practice test

Questions: 2
Test Difficulty:
Average Time Spent: 9 mins

How to multiply practice test

Questions: 5
Test Difficulty:
Average Time Spent: 2 mins 5 secs

How to subtract practice test

Questions: 3
Test Difficulty:
Average Time Spent: 2 mins 6 secs

Estimation practice test

Questions: 1
Test Difficulty:
Average Time Spent: 48 secs

How to estimate practice test

Questions: 1
Test Difficulty:
Average Time Spent: 18 secs

Frequencies practice test

Questions: 2
Test Difficulty:
Average Time Spent: 12 mins

How to find the frequency of an event practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 25 secs

Rational numbers practice test

Questions: 16
Test Difficulty:
Average Time Spent: 13 mins

Fractions practice test

Questions: 16
Test Difficulty:
Average Time Spent: 12 mins

Complex fractions practice test

Questions: 4
Test Difficulty:
Average Time Spent: 3 mins

How to add complex fractions practice test

Questions: 12
Test Difficulty:
Average Time Spent: 12 mins

How to divide complex fractions practice test

Questions: 12
Test Difficulty:
Average Time Spent: 3 mins

How to find a complex fraction practice test

Questions: 4
Test Difficulty:
Average Time Spent: 3 mins

How to multiply complex fractions practice test

Questions: 12
Test Difficulty:
Average Time Spent: 4 mins

How to subtract complex fractions practice test

Questions: 7
Test Difficulty:
Average Time Spent: 11 mins

Compound fractions practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 52 secs

How to find a solution to a compound fraction practice test

Questions: 2
Test Difficulty:
Average Time Spent: 34 secs

Decimals with fractions practice test

Questions: 6
Test Difficulty:
Average Time Spent: 7 mins

How to find decimal fractions practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 15 secs

How to find the decimal equivalent of a fraction practice test

Questions: 5
Test Difficulty:
Average Time Spent: 5 mins

How to find the fractional equivalent of a decimal practice test

Questions: 1
Test Difficulty:
Average Time Spent: 1 mins 2 secs

Fractions and percentage practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 32 secs

How to find a fraction from a percentage practice test

Questions: 1
Test Difficulty:
Average Time Spent: 12 secs

How to find fractional percentages practice test

Questions: 1
Test Difficulty:
Average Time Spent: 23 secs

How to find percentage from a fraction practice test

Questions: 12
Test Difficulty:
Average Time Spent: 13 mins

Lowest common denominator practice test

Questions: 12
Test Difficulty:
Average Time Spent: 1 mins 58 secs

How to find the lowest / least common denominator practice test

Questions: 12
Test Difficulty:
Average Time Spent: 1 mins 5 secs

Mixed / improper fractions practice test

Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 31 secs

How to find out a mixed fraction from an improper fraction practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 3 secs

How to find out an improper fraction from a mixed fraction practice test

Questions: 3
Test Difficulty:
Average Time Spent: 1 mins 11 secs

Operations with fractions practice test

Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 40 secs

How to add fractions practice test

Questions: 1
Test Difficulty:
Average Time Spent: 1 mins 20 secs

How to divide fractions practice test

Questions: 12
Test Difficulty:

How to multiply fractions practice test

Questions: 1
Test Difficulty:
Average Time Spent: 24 secs

How to subtract fractions practice test

Questions: 10
Test Difficulty:
Average Time Spent: 1 mins 15 secs

Ordering fractions practice test

Questions: 2
Test Difficulty:
Average Time Spent: 2 mins 3 secs

How to order fractions from least to greatest or from greatest to least practice test

Questions: 2
Test Difficulty:
Average Time Spent: 26 secs

Proportion / ratio / rate practice test

Questions: 7
Test Difficulty:
Average Time Spent: 9 mins

How to express a fraction as a ratio practice test

Questions: 4
Test Difficulty:
Average Time Spent: 2 mins 19 secs

How to find a ratio practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 17 secs

How to find rate practice test

Questions: 12
Test Difficulty:
Average Time Spent: 9 mins

How to find the ratio of a fraction practice test

Questions: 3
Test Difficulty:
Average Time Spent: 39 secs

Reciprocals practice test

Questions: 2
Test Difficulty:
Average Time Spent: 29 secs

How to find the reciprocal of a fraction practice test

Questions: 2
Test Difficulty:
Average Time Spent: 34 secs

Simplifying fractions practice test

Questions: 3
Test Difficulty:
Average Time Spent: 3 mins

How to simplify a fraction practice test

Questions: 3
Test Difficulty:
Average Time Spent: 39 secs

Whole and part practice test

Questions: 12
Test Difficulty:
Average Time Spent: 7 mins

How to find the part from the whole practice test

Questions: 11
Test Difficulty:

How to find the whole from the part practice test

Questions: 12
Test Difficulty:

Sequences and series practice test

Questions: 3
Test Difficulty:
Average Time Spent: 3 mins

Arithmetic sequences practice test

Questions: 3
Test Difficulty:
Average Time Spent: 2 mins 1 secs

Nth term of an arithmetic sequence practice test

Questions: 2
Test Difficulty:
Average Time Spent: 57 secs

How to find the next term in an arithmetic sequence practice test

Questions: 12
Test Difficulty:
Average Time Spent: 2 mins 15 secs

How to find the nth term of an arithmetic sequence practice test

Questions: 2
Test Difficulty:
Average Time Spent: 1 mins 37 secs

Other arithmetic sequences practice test

Questions: 1
Test Difficulty:
Average Time Spent: 10 secs

How to find the answer to an arithmetic sequence practice test

Questions: 1
Test Difficulty:
Average Time Spent: 42 secs

Common difference in sequences practice test

Questions: 4
Test Difficulty:
Average Time Spent: 1 mins 49 secs

How to find the common difference in sequences practice test

Questions: 4
Test Difficulty:

Consecutive integers practice test

Questions: 3
Test Difficulty:
Average Time Spent: 2 mins 47 secs

How to find consecutive integers practice test

Questions: 3
Test Difficulty:
Average Time Spent: 14 mins
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