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Quizzes > General Knowledge & Mixed

9th Grade Placement Test: Practice Quiz

Quick, free 9th grade placement test practice. Instant results.

Editorial: Review CompletedCreated By: Nalia RolonUpdated Aug 25, 2025
Difficulty: Moderate
Grade: Grade 5
Study OutcomesCheat Sheet
Colorful paper art promoting The Grade Leap Challenge, a high school math practice quiz.

This practice quiz helps you prepare for the 9th grade placement test, check your skills, and get instant results. See what to review next and focus your study time where it matters. For targeted practice, try the 9th grade math test and the 9th grade grammar test to build confidence before the real exam.

Solve for x: 3x + 5 = 20
x = -5
x = 5 (correct because 3*5 + 5 = 20)
x = 15
x = 3
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Which sentence is grammatically correct?
Her and I are going to the library
She and me are going to the library
She and I are going to the library (correct because compound subject with I uses are)
Her and me is going to the library
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The slope of the line given by y = -2x + 7 is
2
7
-7
-2 (correct because slope is the coefficient of x in slope-intercept form)
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Water changes from liquid to gas at standard atmospheric pressure at what temperature in Celsius?
0 C
50 C
100 C (correct boiling point at 1 atm)
212 C
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Which number is a prime?
33
21
27
29 (correct because only factors are 1 and 29)
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Simplify: 6(2x - 1) - 3(4x - 2)
12x
6x - 3
-6
0 (correct because 12x-6 -12x+6 = 0)
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A bag contains 3 red, 2 blue, and 5 green marbles. Probability of drawing a blue marble at random is
2/5
2/10 (correct because 2 blue out of 10 total simplifies to 1/5)
5/10
3/10
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Which of the following best describes a theme in literature?
The chronological sequence of events
The main character's name
The time and place of a story
A central message or insight about life (correct definition)
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Solve the system: y = 2x + 1 and y = x - 5
x = -6, y = -11 (correct since 2x+1 = x-5 implies x=-6, y=-11)
x = -3, y = -2
x = 6, y = 13
x = 3, y = 7
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In the periodic table, elements in the same column have similar chemical properties because they have the same number of
protons
isotopes
neutrons
valence electrons (correct periodic trend)
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Which graph represents a proportional relationship?
A curved line opening upward
A straight line with y-intercept 5
A straight line through the origin (correct feature of y = kx)
A horizontal line at y = 3
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Simplify: (2x - 3)^2
4x^2 - 6x + 9
4x^2 + 9
2x^2 - 9
4x^2 - 12x + 9 (correct binomial square)
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Which two consecutive integers does sqrt(50) fall between?
5 and 6
8 and 9
6 and 7
7 and 8 (correct since sqrt(49)=7 and sqrt(64)=8)
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In biology, the nucleus of a eukaryotic cell primarily functions to
synthesize proteins
store and protect DNA (correct function)
produce ATP directly
digest cellular waste
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Solve for y: 4(y - 2) + 3 = 2y + 11
y = 8
y = -6
y = 4
y = 6 (correct: 4y-8+3=2y+11 -> 2y=16 -> y=6)
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The discriminant b^2 - 4ac of a quadratic equation determines
the number and nature of real roots (correct role of discriminant)
the domain of the function
the vertex location only
the y-intercept of the graph
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A student records the mass of a sample as 12.30 g with a balance that measures to the nearest 0.01 g. How many significant figures are in the measurement?
2
5
4 (correct: 1, 2, 3, and trailing zero are significant)
3
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Solve for x: (x - 1)/3 + (x + 2)/6 = 2
x = 2
x = 3 (correct: multiply by 6 -> 2(x-1) + (x+2) = 12 -> 3x = 12 -> x=3)
x = 6
x = 4
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Which sequence is arithmetic?
2, 4, 8, 16,...
3, 6, 12, 24,...
1, 1, 2, 3, 5,...
5, 9, 13, 17,... (correct common difference 4)
undefined
During photosynthesis, the light-dependent reactions occur in the
matrix
nucleus
thylakoid membranes (correct location)
stroma
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0

Study Outcomes

  1. Apply high school-level mathematics concepts to solve challenging problems.
  2. Analyze problem statements to identify underlying mathematical principles.
  3. Evaluate various strategies for effective problem solving.
  4. Demonstrate proficiency in algebraic manipulation and logical reasoning.
  5. Assess personal understanding and readiness for upcoming tests and exams.

9th Grade Placement Test Review Cheat Sheet

  1. Master the Quadratic Formula - Think of it as your algebraic detective tool: plug in a, b, and c into x = (-b ± √(b² - 4ac)) / 2a and reveal the hidden solutions of any quadratic mystery! This formula works every time for ax² + bx + c = 0.
  2. Understand Slope and Slope-Intercept Form - Picture slope (m) as the steepness of a rollercoaster track: m = (y₂ - y₝) / (x₂ - x₝). Then use y = mx + b to pinpoint where your ride starts on the y-axis and how it's angled.
  3. Learn the Midpoint Formula - This is your geometry GPS: the midpoint between (x₝, y₝) and (x₂, y₂) is simply ((x₝ + x₂)/2, (y₝ + y₂)/2). It's like finding the perfect halfway house between two coordinate points!
  4. Grasp the Pythagorean Theorem - In any right triangle, a² + b² = c² unlocks the length of the hypotenuse (c) when you know the other two sides. Think of it as the triangle's secret code for side lengths!
  5. Familiarize Yourself with Area and Circumference of a Circle - Calculate area with A = πr² to see how much space is inside, and use C = 2πr to measure the outer edge. Circles never felt so simple!
  6. Understand Arithmetic Sequences - These are number staircases with a constant difference (d) between steps. To find the nth stair, use aₙ = a₝ + (n - 1)d and climb with confidence!
  7. Learn Geometric Sequences - Each term multiplies by a fixed ratio (r), like shooting up or shrinking fast. Discover any term with aₙ = a₝ · r^(n - 1) and watch the pattern unfold!
  8. Master Exponential Growth and Decay - Model wild population booms or slow radioactive decay with A = A₀e^(kt), where A₀ is your starting amount, k is the growth/decay rate, and t is time. Science and math unite!
  9. Understand Radians and Degrees - Switch between rad (180/π°) and degrees (π/180 rad) to ace trigonometry. Whether you're spinning circles or solving sine waves, conversions are key!
  10. Familiarize Yourself with Volume Formulas - From V = πr²h for cylinders to V = (4/3)πr³ for spheres, these equations tell you how much space an object occupies. Perfect for all your 3D shape adventures!
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