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Quizzes > High School Quizzes > Electives

College Entrance Exam Practice Test

Sharpen Your Skills With Our Quiz Guide

Difficulty: Moderate
Grade: Grade 12
Study OutcomesCheat Sheet
Paper art illustrating a trivia quiz for high school students on exam mastery

Solve for x in the equation 2x + 3 = 7.
x = 2
x = 3
x = 1
x = 4
Subtracting 3 from both sides gives 2x = 4 and then dividing both sides by 2 yields x = 2. This is the correct solution to the linear equation.
What is the sum of the interior angles of a triangle?
270°
360°
180°
90°
The sum of the interior angles in any triangle is always 180°. This is a basic geometric property relied upon in many problems.
Which of the following represents 25% of 200?
50
75
100
25
To find 25% of 200, you multiply 200 by 0.25, which equals 50. This calculation confirms 50 as the correct answer.
Which of these is considered a common state of matter at room temperature?
Gas
Bose-Einstein Condensate
Plasma
Fermionic Condensate
At room temperature, matter typically exists as solids, liquids, or gases. Among the options provided, gas is the state commonly encountered.
Select the sentence that correctly uses an apostrophe in a contraction.
It is' raining outside.
Its' raining outside.
It's raining outside.
Its raining outside.
The sentence 'It's raining outside.' correctly uses the apostrophe as a contraction for 'it is'. The other options either omit or misplace the apostrophe.
Which of the following is a complete solution set for the equation x² - 5x + 6 = 0?
x = 2
x = -2 or x = -3
x = 2 or x = 3
x = 3
Factoring the quadratic equation gives (x - 2)(x - 3) = 0, which leads to solutions x = 2 and x = 3. Only the complete solution set is correct.
A rectangle has a length of 10 units and a width of 4 units. What is its area?
14
40
64
20
The area of a rectangle is found by multiplying the length by the width: 10 x 4 = 40 square units. This is the standard area formula.
What is the value of f(4) for the function f(x) = 3x - 5?
7
9
3
-7
Substitute x = 4 into the function: f(4) = 3(4) - 5 = 12 - 5, which equals 7. This straightforward evaluation confirms the answer.
Which element has the chemical symbol 'O'?
Osmium
Hydrogen
Gold
Oxygen
The chemical symbol 'O' stands for oxygen. This is a fundamental fact in basic chemistry.
What is the unit of force in the International System of Units (SI)?
Pascal
Joule
Watt
Newton
Force in the SI system is measured in newtons. This unit is derived from Newton's second law of motion.
Which organelle is known as the powerhouse of the cell?
Nucleus
Endoplasmic reticulum
Mitochondrion
Chloroplast
The mitochondrion is responsible for producing most of the energy in a cell, making it known as the powerhouse. This concept is a cornerstone in biology.
In the sentence 'After the storm, the calm sea was a welcome sight,' what is the meaning of the word 'calm'?
Peaceful
Dangerous
Swirling
Noisy
In this context, 'calm' implies a state of peace and tranquility. The sea being 'calm' indicates it is not rough or agitated.
What is the probability of rolling a 3 on a fair six-sided die?
1/6
1/4
1/2
1/3
A fair six-sided die has 6 equally likely outcomes, so the chance of rolling any specific number such as 3 is 1/6. This is an essential concept in probability.
Which of the following fractions is equivalent to 0.75?
2/3
1/3
1/2
3/4
The decimal 0.75 can be expressed as 75/100, which simplifies to 3/4. Recognizing equivalent fractions is a key math skill.
Solve for y: If 2y - 4 = 10, what is y?
7
9
8
5
Adding 4 to both sides gives 2y = 14, and dividing by 2 yields y = 7. This is a straightforward linear equation.
Calculate the derivative of f(x) = x² at x = 3.
12
3
9
6
The derivative of f(x) = x² is 2x. Evaluating at x = 3, we get 2(3) = 6. This reflects the instantaneous rate of change at that point.
Find all solutions for θ in the interval [0°, 360°) such that sinθ = 0.5.
θ = 210° and θ = 330°
θ = 30° only
θ = 30° and θ = 150°
θ = 150° only
For the sine function, sinθ = 0.5 at 30° and 150° within the interval [0°, 360°). These are the only solutions that satisfy the condition in the given range.
In a right triangle with one 45° acute angle, what is the relationship between the lengths of the two legs?
They are equal in length.
The hypotenuse is equal to one leg.
One leg is twice the other.
The legs have no specific relationship.
A 45° angle in a right triangle indicates it is an isosceles right triangle. This means the two legs opposite the equal angles are congruent.
Given f(x) = 2x + 3 and g(x) = x², what is the value of f(g(2))?
7
11
15
13
First, compute g(2) which is 2² = 4. Then substitute into f(x): f(4) = 2(4) + 3 = 11. This two-step process yields the correct answer.
A car starts from rest and accelerates uniformly at 3 m/s². What distance does it cover in 4 seconds?
16 m
24 m
48 m
12 m
Using the kinematic equation d = ½at² with a = 3 m/s² and t = 4 s, we calculate d = 0.5 à - 3 à - 16 = 24 m. This formula applies to objects starting from rest with constant acceleration.
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Study Outcomes

  1. Understand key concepts and content areas essential for college entrance exams.
  2. Analyze exam-style questions to identify critical thinking and problem-solving strategies.
  3. Evaluate personal performance to pinpoint strengths and areas for improvement.
  4. Apply effective test-taking techniques to enhance exam readiness and confidence.
  5. Develop strategies for managing time and stress during high-pressure exam conditions.

College Entrance Exam Practice Test Cheat Sheet

  1. Master the rules of exponents - Become an exponent ninja by learning the product, quotient, and power rules to simplify expressions faster than a Math Olympian. With these tools, you'll turn giant power towers into quick-to-evaluate statements and never fear a daunting exponent again. openstax.org
  2. Understand the Pythagorean Theorem - Picture yourself on a right-triangle treasure map: \(a^2 + b^2 = c^2\) is the secret key that unlocks the length of any side. Whether you're building ramps or solving geometry puzzles, this theorem's got your back. testinar.com
  3. Familiarize with arithmetic sequences - Think of arithmetic sequences as your personal math playlist, where each term adds a constant beat (difference) to the last one. Recognizing this pattern means you can jam out term-by-term without losing the rhythm. openstax.org
  4. Learn about geometric sequences - Geometric sequences are like compound interest in action - each term multiplies by a constant ratio to grow (or shrink) exponentially. Once you spot the ratio, you can predict any term's value with a single formula. openstax.org
  5. Practice permutations and combinations - Dive into the world of "how many ways?" by mastering permutations (order matters) and combinations (order doesn't matter). These counting tools let you breeze through probability problems and planning events like a party-planning pro. openstax.org
  6. Understand the Binomial Theorem - Expand \((a + b)^n\) in a snap using binomial coefficients - no more messy FOIL steps when \(n\) gets big. It's like having a magic formula that writes out all the terms for you. openstax.org
  7. Grasp basic probability concepts - From flipping coins to drawing cards, get comfy calculating event likelihoods and distinguishing mutually exclusive versus independent events. With these skills, chance no longer feels like rolling the dice blindly. openstax.org
  8. Review triangle properties - Triangles are the VIPs of geometry: their interior angles always sum to 180°, and special types like equilateral (all sides equal) and isosceles (two sides equal) each have their own perks. Use these facts to solve angle and side mysteries instantly. testinar.com
  9. Understand linear regression - Plot your data points and fit the best line, then interpret slope (rate of change) and intercept (starting value) like a data detective. Calculating residuals helps you judge how well your line actually predicts outcomes. student-notes.net
  10. Familiarize yourself with confidence intervals - Confidence intervals give you a range that likely contains the true population parameter - think of it as your data safety net. You'll learn to choose the right level (like 95%) and calculate the margin of error confidently. student-notes.net
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