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Quizzes > High School Quizzes > Mathematics

Balotario de Preguntas MTC: Quiz de Práctica

Resuelve preguntas A1 para aprobar tu examen

Difficulty: Moderate
Grade: Grade 10
Study OutcomesCheat Sheet
Colorful paper art promoting MTC Reto Balotario math trivia quiz for high school students.

Use this 20‑question balotario de preguntas MTC A1 quiz to practice for your Peru driver's license theory exam. Work through real‑style items at your own pace and spot gaps early, so you know which rules and signs to review next.

What is the solution for the equation 2x + 3 = 7?
x = 7
x = -2
x = 2
x = 1
Subtracting 3 from both sides of the equation gives 2x = 4, and dividing by 2 yields x = 2. This is the unique solution obtained by basic algebraic manipulation.
What is the value of 3^2?
6
3
8
9
The exponent 3^2 means 3 multiplied by itself once (3 x 3), which equals 9. This demonstrates a basic understanding of exponentiation.
Simplify the expression: 5 + 3 * 2
25
11
8
16
According to the order of operations, multiplication is performed before addition. Multiplying 3 by 2 gives 6, and adding 5 results in 11, which is the correct simplification.
Calculate 15% of 200.
35
30
20
25
To calculate 15% of 200, convert 15% to decimal (0.15) and multiply by 200, which results in 30. This problem applies basic percentage calculation.
What is the area of a square with side length 5 units?
25
30
10
20
The area of a square is calculated by squaring its side length. Since 5 squared is 25, the area of the square is 25 square units.
Solve the system of equations: x + y = 10 and x - y = 2.
x = 7, y = 3
x = 4, y = 6
x = 6, y = 4
x = 5, y = 5
By adding the two equations, you obtain 2x = 12 which gives x = 6. Substituting x = 6 into either equation results in y = 4, which satisfies both equations.
Solve the quadratic equation: x^2 - 5x + 6 = 0.
x = -1 and x = -6
x = -2 and x = -3
x = 2 and x = 3
x = 1 and x = 6
The quadratic factors into (x - 2)(x - 3) = 0. Setting each factor equal to zero yields the solutions x = 2 and x = 3.
Find the slope of the line passing through the points (2, 3) and (6, 11).
1.5
2
2.5
4
The slope is calculated by the formula (y2 - y1) / (x2 - x1). Substituting the given points results in (11 - 3) / (6 - 2) = 8/4 = 2.
If f(x) = 2x + 1, what is f(4)?
9
10
7
8
Substituting x = 4 into the function f(x) = 2x + 1 gives 2(4) + 1 = 8 + 1, which equals 9. This confirms the function evaluation.
What is the area of a triangle with base 8 units and height 5 units?
25
40
20
10
The area of a triangle is calculated using the formula ½ Ã- base Ã- height. For a base of 8 units and a height of 5 units, the area is ½ Ã- 8 Ã- 5 = 20.
Simplify the expression: (3x^2y) * (2xy^3).
5x^3y^4
5x^2y^3
6x^2y^3
6x^3y^4
Multiply the coefficients: 3 Ã- 2 = 6. Then, apply the laws of exponents: x^(2+1) becomes x^3 and y^(1+3) becomes y^4, resulting in 6x^3y^4.
Solve for x: 3(x - 2) = 9.
3
7
5
6
Dividing both sides by 3 gives the equation x - 2 = 3. Adding 2 to both sides results in x = 5, which is the correct solution.
Evaluate the expression: 4!.
12
16
24
8
The factorial 4! is the product 4 Ã- 3 Ã- 2 Ã- 1, which equals 24. This concept is fundamental in combinatorics and probability.
A store offers a 20% discount on a jacket that originally costs $50. What is the discounted price?
$45
$35
$40
$30
Twenty percent of $50 is $10, so subtracting the discount from the original price yields $50 - $10 = $40. This problem applies percentage discount calculations in a real-world scenario.
What is the median of the data set: [3, 7, 9, 15, 21]?
9
7
11
15
When the data set is ordered, the median is the middle value. In this case, 9 is the third number in the ordered set, making it the median.
Solve the equation: √(2x + 3) = 5.
14
6
11
5
Squaring both sides of the equation eliminates the square root, giving 2x + 3 = 25. Subtracting 3 and then dividing by 2 results in x = 11, which is the correct solution.
If logâ‚‚(8) = k, what is the value of k?
4
2
8
3
Since 2 raised to the power of 3 is 8, the logarithm logâ‚‚(8) equals 3. This is a basic property of logarithms.
Solve the inequality: 2x - 5 > 3.
x > 4
x ≥ 4
x ≤ 4
x < 4
Adding 5 to both sides gives 2x > 8, and then dividing both sides by 2 results in x > 4. This inequality solution shows the process of isolating the variable.
Find the value of the 10th term in the arithmetic sequence: 3, 7, 11, ...
41
35
39
37
The nth term of an arithmetic sequence is given by a + (n-1)d, where a is the first term and d is the common difference. For a = 3, d = 4, and n = 10, the 10th term is 3 + 9Ã-4 = 39.
A rectangle's length is twice its width. If the perimeter of the rectangle is 36 units, what is its area?
36
96
54
72
Let the width be w and the length be 2w. The perimeter is 2(w + 2w) = 6w, so w equals 6, making the length 12; therefore, the area is 6 Ã- 12 = 72. This problem integrates algebra with geometric formulas.
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Study Outcomes

  1. Analyze algebraic expressions and geometric figures to identify problem-solving strategies.
  2. Apply mathematical formulas and techniques to solve real-world exam scenarios.
  3. Evaluate complex word problems for accurate and efficient solutions.
  4. Synthesize multiple mathematical concepts to justify reasoning and conclusions.
  5. Understand core high school math principles through targeted practice questions.

Balotario de Preguntas MTC A1 Cheat Sheet

  1. Different types of traffic signs - Traffic signs are the language of the road, guiding you with regulatory, warning, or informational cues. Recognizing a red octagon means "Stop," while a triangular sign might warn you of hazards ahead. Mastering these signs is like unlocking the secret code of street safety!
  2. Right‑of‑way rules at intersections - Knowing who goes first keeps traffic flowing and prevents fender‑benders. Typically, vehicles on the main road have priority over those entering from side streets, but always watch for signals and signage. Practice these rules mentally to build instinctive reactions behind the wheel.
  3. Speed limits in various zones - Different areas demand different speeds: lower in school zones, moderate in urban streets, and higher on highways. Respecting these limits protects pedestrians, cyclists, and fellow drivers. Treat your speedometer like a friendly reminder to keep everyone safe.
  4. Penalties for traffic violations - From fines to license points, breaking the rules comes with real consequences. Understanding the penalty system motivates you to drive responsibly. Think of it as a video‑game lives counter: keep yours intact by staying on the right side of the law!
  5. Proper use of vehicle lights - Headlights, turn signals, and hazard lights are your voice on the road. Using them correctly enhances visibility and communicates your intentions to others. Shine bright and signal early to avoid surprises in traffic.
  6. Importance of seat belts and child restraints - These safety devices are your best defense in a crash, reducing injury risk dramatically. Always buckle up and secure young passengers in the proper restraints. Think of them as your superhero force field - never leave home without them!
  7. Emergency procedures - Whether you face a breakdown or collision, knowing the correct steps is key to staying safe. Pull over, turn on hazards, and call for help as needed. A calm, practiced response can turn a crisis into a controlled situation.
  8. Effects of alcohol and drugs on driving - Impaired driving slows reaction time, distorts judgment, and invites severe penalties. Recognizing these risks helps you make smart choices before getting behind the wheel. Remember: buzzed driving is drunk driving - always plan a sober ride.
  9. Rules for overtaking and lane changes - Safe passing and smooth lane shifts keep traffic moving without close calls. Check mirrors, signal early, and ensure clear space before you move. Mastering these maneuvers builds confidence and prevents fender‑benders.
  10. Responsibilities at crosswalks - Yielding to pedestrians at crosswalks is both courteous and lawful. Drivers must stop, and walkers should stay alert to oncoming traffic. Treat crosswalks like welcome mats - everyone deserves safe passage.
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