Welcome back to the second part of our series on how to prepare for the Cadet Pilot Program Maths test. In this article, we will cover more sample questions and answers for the written exam, and give you some tips on how to approach the test.
Sample Questions:
Solve the following equation for x:
3x - 4 = 11
Answer: x = 5
Explanation: To solve for x, we need to isolate it on one side of the equation. We can do this by adding 4 to both sides, which gives us 3x = 15. Then, we divide both sides by 3 to get x = 5.
What is the value of y in the following equation?
2y - 5 = 13
Answer: y = 9
Explanation: To solve for y, we need to isolate it on one side of the equation. We can do this by adding 5 to both sides, which gives us 2y = 18. Then, we divide both sides by 2 to get y = 9.
A plane is flying at an altitude of 10,000 feet. If the angle of depression to a point on the ground is 30 degrees, how far is the plane from the point?
Answer: 10,000 / tan(30) = 17,320 feet
Explanation: We can use the tangent function to find the distance between the plane and the point on the ground. In this case, tan(30) = opposite/adjacent = distance/10,000. Rearranging this equation, we get distance = 10,000 / tan(30) = 17,320 feet.
If the circumference of a circle is 50 cm, what is the radius of the circle?
Answer: Radius = Circumference / 2π = 50 / (2 x π) = 7.96 cm (rounded to two decimal places).
Explanation: The formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius. To find the radius, we can rearrange this equation to get r = C / 2π. In this case, r = 50 / (2 x π) = 7.96 cm (rounded to two decimal places).
Tips for the Written Exam:
Practice working with basic algebraic equations and formulas, such as those involving linear equations, quadratic equations, and the Pythagorean theorem.
Brush up on your trigonometry skills, including the definitions of sine, cosine, and tangent, as well as how to use them to solve problems.
Practice converting between units of measurement, such as feet and meters, or kilometers per hour and miles per hour.
Review geometry concepts, such as the properties of circles, triangles, and rectangles.
Make sure you understand how to use a scientific calculator and can perform basic operations such as addition, subtraction, multiplication, and division.
Finally, practice under timed conditions to get used to the pressure of working quickly and efficiently during the exam.
We hope that this article has been helpful in preparing you for the Cadet Pilot Program Maths test. Remember to stay focused, stay calm, and practice regularly to give yourself the best chance of success. Good luck!