1. Key Geometry Concepts
Geometry involves the study of shapes and their properties. The main shapes you will encounter in the Civil Service Exam include rectangles, triangles, circles, and trapezoids.
Rectangles
The perimeter (P) of a rectangle is calculated as:
P = 2(length + width)
The area (A) is calculated as:
A = length × width
Triangles
The perimeter of a triangle is the sum of its sides:
P = side1 + side2 + side3
The area can be calculated using:
A = 1/2 × base × height
Circles
The circumference (C) of a circle is:
C = 2πr
The area of a circle is:
A = πr²
Trapezoids
The area of a trapezoid can be calculated as:
A = 1/2 × (base1 + base2) × height
2. Formulas for Area and Volume
For solids, volume formulas are essential. Here are some common ones:
Cubes and Rectangular Prisms
Volume = length × width × height
Cylinders
Volume = πr²h
3. Sample Practice Questions & Rationalizations
Question 1: What is the area of a rectangle with a length of 8 cm and a width of 5 cm?
A) 40 cm²
B) 30 cm²
C) 50 cm²
D) 20 cm²
Answer: A) 40 cm².
Rationalization: Area = length × width = 8 × 5 = 40 cm².
Question 2: What is the volume of a cylinder with a radius of 3 cm and a height of 7 cm?
A) 63.24 cm³
B) 28.26 cm³
C) 34.56 cm³
D) 49.12 cm³
Answer: A) 63.24 cm³.
Rationalization: Volume = πr²h = 3.14 × 3² × 7 = 63.24 cm³.
Question 3: If the base lengths of a trapezoid are 10 cm and 6 cm, and the height is 4 cm, what is its area?
A) 32 cm²
B) 26 cm²
C) 40 cm²
D) 36 cm²
Answer: A) 32 cm².
Rationalization: Area = 1/2 × (10 + 6) × 4 = 32 cm².
Question 4: What is the perimeter of a triangle with sides measuring 5 cm, 7 cm, and 10 cm?
A) 20 cm
B) 22 cm
C) 24 cm
D) 18 cm
Answer: A) 22 cm.
Rationalization: Perimeter = 5 + 7 + 10 = 22 cm.
4. Key Traps to Avoid & Test Day Tips
Be cautious of common traps, such as confusing formulas or miscalculating dimensions. Always double-check your calculations and remember to write down the formulas you need to use.
On test day, manage your time wisely and use the free study app Civil Service Reviewer 2027 to practice more problems and enhance your understanding. You can also take free practice tests at practice-test.html.
Ace the 2027 Philippine Civil Service Exam on Your First Try
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