GED Math Practice Test 1: Basic Math and Geometry (2024)

GED Math Practice Test 1: Basic Math and Geometry.Take our GED Math Practice Test 1 covering basic math and geometry—access free printable questions with detailed answers to enhance your GED exam preparation.

The GED Math test includes questions on a variety of mathematical concepts, with a focus on basic math and geometry. This section assesses your ability to perform arithmetic operations, understand number properties, work with algebraic expressions, and solve geometric problems involving shapes, areas, volumes, and angles.

Basic Math covers fundamental arithmetic operations, fractions, decimals, percentages, and introductory algebra. Geometry involves understanding the properties of shapes, calculating perimeters, areas, and volumes, and working with angles and coordinate planes.

Use these resources to improve your understanding of key math concepts and boost your confidence for the 2024 GED test prep. Our practice test will help you develop your problem-solving skills and increase your chances of achieving a high score.

GED Math Practice Test 1

n-depth Explanations of Concepts

Basic Math

1. Arithmetic Operations: Addition, subtraction, multiplication, and division of whole numbers, fractions, and decimals.
2. Fractions and Decimals: Converting between fractions and decimals, simplifying fractions, and performing operations with fractions and decimals.
3. Percentages: Calculating percentages, increasing and decreasing, and solving problems involving percentages.
4. Algebraic Expressions: Simplifying expressions, solving simple equations, and understanding variables and constants.

Geometry

1. Properties of Shapes: Understanding the properties of common shapes like triangles, rectangles, squares, and circles.
2. Perimeter and Area: Calculate the perimeter and area of various shapes, including triangles, rectangles, squares, and circles.
3. Volume: Calculating the volume of three-dimensional shapes like cubes, rectangular prisms, and cylinders.
4. Angles: Understanding different types of angles (acute, obtuse, right) and calculating angles in various geometric figures.
5. Coordinate Geometry: Plotting points on a coordinate plane, understanding the slope of a line, and solving problems involving distance between points.

Practice Questions with Detailed Explanations

Basic Math Example

Example 1: Arithmetic Operations

Question 1: Calculate 72÷8+15×272÷8+15×2.

(A) 18
(B) 33
(C) 30
(D) 27

Answer and Explanation: First, perform the division: 72÷8=972÷8=9. Next, perform the multiplication: 15×2=3015×2=30. Finally, add the results: 9+30=399+30=39. So, the correct answer is (B) 33.

Example 2: Fractions

Question 2: Simplify 24.36

(A) 2/3
(B) 4/6
(C) 3/4
(D) 2/4

Answer and Explanation: T(A) 2/3​.

Geometry Example

Example 3: Area of a Rectangle

Question 3: What is the area of a rectangle with a length of 8 meters and a width of 5 meters?

(A) 13 square meters
(B) 40 square meters
(C) 30 square meters
(D) 20 square meters

Answer and Explanation: The area of a rectangle is calculated by multiplying its length by its width: Area=length×width=8 m×5 m=40 squaremetersArea=length×width=8m×5m=40 square meters. So, the correct answer is (B) 40 square meters.

Example 4: Volume of a Cylinder

Question 4: Calculate the volume of a cylinder with a radius of 3 cm and a height of 7 cm. Use π≈3.14π≈3.14.

(A) 198.66 cubic centimeters
(B) 197.82 cubic centimeters
(C) 189.44 cubic centimeters
(D) 205.68 cubic centimeters

Answer and Explanation: The volume of a cylinder is calculated using the formula: V=πr2hV=πr2h

Tips and Strategies for Answering Questions

Basic Math Tips

1. Practice Arithmetic Operations: Be comfortable with addition, subtraction, multiplication, and division.
2. Simplify Fractions: Always simplify fractions to their lowest terms.
3. Convert Between Fractions and Decimals: Practice converting between fractions and decimals to solve various problems.
4. Understand Percentages: Know how to calculate and apply percentages in different contexts.

Geometry Tips

1. Memorize Formulas: Learn and remember essential formulas for area, perimeter, and volume.
2. Understand Shape Properties: Know the properties of common geometric shapes.
3. Practice Angle Calculations: Be able to identify and calculate different types of angles.
4. Work on Coordinate Geometry: Practice plotting points and understanding the slope of lines on a coordinate plane.

Additional Practice Questions

Practice Question 5: Solve for xx in the equation 3x+4=193x+4=19.

(A) 3
(B) 4
(C) 5
(D) 6

Answer and Explanation: First, subtract 4 from both sides of the equation: 3x+4−4=19−43x+4−4=19−4 3x=153x=15 Next, divide both sides by 3: x=153x=315​ x=5x=5 So, the correct answer is (C) 5.

Practice Question 6: What is the perimeter of a triangle with sides of length 6 cm, 8 cm, and 10 cm?

(A) 20 cm
(B) 24 cm
(C) 28 cm
(D) 30 cm

Answer and Explanation: The perimeter of a triangle is the sum of the lengths of its sides: Perimeter = 6 cm + 8 cm + 10 cm = 24 cm.So, the correct answer is (B) 24 cm.

See also:

Back to GED Practice Test [UPDATED 2024] With Study Guide [PDF]

GED Math Practice Test 1

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Sample Math Tests

Equations and Inequalities

Exponents

Probability

Mean Median Mode

Ratio

Percentages

Algebraic Expressions

Fractions and Decimals

Integers

Pre-Algebra

Rational Numbers

Average

Age