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Quizzes > High School Quizzes > Mathematics

Free PERT Test Practice Quiz

Boost exam readiness with engaging practice questions

Difficulty: Moderate
Grade: Grade 12
Study OutcomesCheat Sheet
Colorful paper art promoting Free PERT Test Prep trivia for high school students.

Easy
Solve for x: 2x = 10.
x = 3
x = 5
x = 10
x = 8
Dividing both sides of the equation by 2 gives x = 10/2, which simplifies to 5. Thus, the correct answer is x = 5.
What does the word 'inspire' mean?
To motivate or encourage someone
To discourage or dishearten someone
To neglect or ignore
To confuse or perplex
The word 'inspire' means to stimulate or encourage someone to take action or feel enthusiastic. The other options do not capture its motivational connotation.
How many degrees are in a straight angle?
90 degrees
180 degrees
360 degrees
45 degrees
A straight angle measures 180 degrees because it forms a straight line. The other answer choices represent different types of angles.
Which sentence is written in the past tense?
She walks to school
She walked to school
She is walking to school
She will walk to school
The sentence 'She walked to school' uses the simple past tense, indicating a completed action. The other sentences use present or future tenses.
What is 25% of 200?
25
50
75
100
To find 25% of 200, multiply 200 by 0.25, which equals 50. This makes 50 the correct answer.
Medium
Solve for x: 3x - 4 = 11.
x = 3
x = 5
x = 7
x = 15
Adding 4 to both sides gives 3x = 15, and dividing by 3 results in x = 5. This is the only option that satisfies the equation.
What is the primary purpose of imagery in a descriptive passage?
To evoke sensory experiences
To confuse the reader
To present statistical data
To outline the plot
Imagery is used in descriptive writing to create vivid sensory experiences for the reader. It helps in visualizing the text, unlike the other options provided.
Simplify: (2/3) ÷ (4/9).
3/2
1/2
2/3
4/3
Dividing by a fraction is equivalent to multiplying by its reciprocal. Multiplying (2/3) by (9/4) gives (18/12), which simplifies to 3/2.
If a character consistently avoids social interactions, what can be inferred about their personality?
They may be outgoing
They may have a reserved nature
They may be extremely talkative
They may be indifferent to relationships
A character who avoids social interactions is likely to be reserved or shy. This inference is more plausible than the other options which contradict the given behavior.
What is the percentage increase when a quantity rises from 50 to 60?
10%
15%
20%
25%
The increase is 10 (from 50 to 60), which is 20% of the original value (10/50 × 100 = 20%). This makes 20% the correct answer.
What is the positive solution of the equation x² - 9 = 0?
x = -3
x = 0
x = 3
x = 9
Factoring the equation gives (x - 3)(x + 3) = 0, leading to solutions x = 3 and x = -3. Since the question asks for the positive solution, x = 3 is correct.
Which literary device involves attributing human characteristics to non-human entities?
Metaphor
Simile
Personification
Hyperbole
Personification is the device where human traits are assigned to non-human things, enhancing imagery and emotional connection. The other options involve comparisons or exaggerations.
What is the perimeter of a rectangle with a length of 10 and a width of 4?
28
40
26
18
The perimeter is calculated as 2 multiplied by the sum of the length and width. Here, 2*(10+4) equals 28, making it the correct answer.
Solve for y: 4y + 5 = 21.
y = 4
y = 3
y = 5
y = 6
Subtracting 5 from both sides gives 4y = 16, and dividing by 4 yields y = 4. This is the only answer that satisfies the equation.
Which sentence demonstrates correct subject-verb agreement?
The group of students were excited.
The group of students was excited.
The group of student are excited.
The group of students is excited.
The subject 'group' is singular, so it requires the singular verb 'was.' The other sentences either use the incorrect verb form or have grammatical errors.
Hard
Determine the range of the function f(x) = x² - 6x + 10.
[1, ∞)
(-∞, 1]
[10, ∞)
[0, ∞)
Completing the square transforms the function into (x - 3)² + 1, indicating that the minimum value is 1 and the function increases without bound. Therefore, the range is [1, ∞).
For the quadratic equation x² + bx + c = 0 with a leading coefficient of 1, if the sum of its roots is 7 and their product is 10, what is the value of c?
10
7
-7
-10
In a quadratic equation of the form x² + bx + c = 0, the sum of the roots is -b and the product is c. Given that the product is 10, the correct value of c is 10.
In literary analysis, what does 'subtext' refer to?
The literal meaning of the text
The underlying themes and ideas not explicitly stated
A summary of the main events
The author's biography
Subtext refers to the implicit or underlying meaning in a text that is not directly stated. It provides depth and nuance beyond the literal narrative.
A bag contains red, blue, and green marbles in the ratio 2:3:5, respectively. If there are 50 marbles in total, how many blue marbles are there?
10
15
20
25
The sum of the ratio parts is 2+3+5 = 10, and with 50 marbles total, each part represents 5 marbles. Blue marbles form 3 parts, so 3×5 equals 15.
In literary satire, irony is most effectively used to:
Reinforce the author's serious intent
Highlight contradictions in societal norms
Create confusion among readers
Promote a straightforward narrative
Irony in satire is a technique used to expose and criticize the contradictions within societal practices. This subtle humor drives home the underlying critique, unlike the other options which do not capture its effectiveness.
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Study Outcomes

  1. Understand fundamental math concepts integral to the PERT exam.
  2. Analyze reading passages to identify main ideas and supporting details.
  3. Evaluate personal knowledge gaps in both math and reading topics.
  4. Apply effective test-taking strategies to enhance exam performance.
  5. Build confidence through targeted review and practice exercises.

PERT Test Practice & Review Cheat Sheet

  1. Master the Order of Operations (PEMDAS) - PEMDAS is your go-to guide for tackling complex calculations in the right sequence. Always clear parentheses first, then tackle exponents before moving through multiplication, division, addition, and subtraction from left to right. Practicing this method will help you avoid simple mistakes and boost your confidence on every problem. Ultimate PERT Math Formula Cheat Sheet
  2. Understand the Pythagorean Theorem - This fundamental theorem links side lengths in right triangles, letting you solve for unknown lengths with a² + b² = c². Visualizing squares on each side can make the concept stick and help you tackle geometry puzzles. Whether you're solving distance problems or real‑world applications, it's an indispensable tool. PERT Math Formulas
  3. Grasp Ratios and Proportions - Ratios compare values directly while proportions set two ratios equal, making them perfect for scaling recipes, maps, or class data. Spotting equivalent ratios quickly sharpens your problem‑solving and makes converting units second nature. Use proportions to solve a wide range of real‑life scenarios with ease. Ultimate PERT Math Formula Cheat Sheet
  4. Learn the Properties of Exponents - When you multiply like bases, simply add exponents, and subtract when dividing: xᵃ * xᵇ = xᵃ❺ᵇ, xᵃ / xᵇ = xᵃ❻ᵇ. Rules for zero and negative exponents expand your toolkit, letting you simplify complex expressions with ease. Mastering these rules pays off in algebra, calculus, and beyond. PERT Math Formulas
  5. Familiarize Yourself with Slope‑Intercept Form - In y = mx + b, m tells you how steep the line is, and b shows where it crosses the y‑axis. Graph lines quickly by plugging in values or rearranging equations to this form. Understanding how m and b affect the graph makes interpreting linear relationships a breeze. Ultimate PERT Math Formula Cheat Sheet
  6. Practice Solving Quadratic Equations - Quadratics take the form ax² + bx + c = 0 and can be factored, completed as squares, or tackled with the quadratic formula. For example, x² − 5x + 6 factors to (x − 2)(x − 3)=0 for quick solutions. From projectile motion to optimization problems, these methods cover every angle. PERT Math Formulas
  7. Understand the Basics of Probability - Probability teaches you to predict outcomes by dividing favorable events by total possible outcomes. From dice rolls to card draws, practicing with everyday examples reinforces your understanding of chance and risk. Grasping these basics helps you make smarter decisions in statistics and real life. Ultimate PERT Math Formula Cheat Sheet
  8. Review the Properties of Circles - Calculating area (πr²) and circumference (2πr) is key for geometry puzzles and real‑world measurements, like crafting circular designs. Drawing radii and identifying center points adds a visual layer that solidifies the formulas. Use these fundamentals to tackle any circle‑based problem. PERT Math Formulas
  9. Enhance Your Reading Comprehension Skills - Strong comprehension means pinpointing main ideas, spotting key details, and drawing inferences from context. Summarizing paragraphs in your own words turns reading into an active study exercise and helps you retain information longer. Practice with varied texts to sharpen your analytical skills. PERT Practice Test
  10. Develop Test‑Taking Strategies - Conquering the PERT's adaptive format means staying calm, pacing yourself, and flagging tough questions to revisit if time allows. Regular timed practice builds speed and accuracy, so simulate test conditions for maximum confidence. Learn to eliminate wrong answers and trust your instincts. PERT Practice Test
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