30 math problems for 8th graders
The 8th grade offers big challenges for students, but with a little practice, any student can excel. These 30 math problems help students understand the key math topics of 8th grade.
Author
Tess Loucka
Published:
March 2025
Key takeaways
- • Math in 8th grade moves at a faster pace than previous grades and gets increasingly more complex as the year goes on.
- • Word problems, data analysis, statistics, and other 8th-grade math topics require strong visualization skills.
- • Math can be fun if students are given a strong foundation and plenty of opportunities to practice.
30 math problems for 8th graders
8th grade is a big year in math! It compiles the concepts students learned in 6th and 7th grades and builds on them, often at a faster pace than students are used to.
The challenges of 8th grade may be great, but the lessons students learn are irreplaceable. Not only do students gain a deep understanding of the number system, expressions, equations, functions, geometry, statistics, and probability, but they also learn techniques that will help them in all areas of life.
Common concerns with 8th-grade math
In 8th grade, students are tasked with solving increasingly more complex algebraic problems with multiple variables. This can cause a lot of confusion if not properly understood at the beginning of the year.
8th grade also introduces students to geometry. Students must be able to understand concepts such as volume, area, surface area, transformation, angle measures, and more. This requires strong visualization skills that some students struggle to develop.
Practicing math problems for 8th graders is a great way to gain confidence and improve your skills. DreamBox’s math program offers interactive 8th-grade math practice that can make studying fun!
For more practice, this article goes over 30 math problems for 8th graders. This article will cover a variety of questions ranging from simple questions to hard math problems for 8th graders.
Here are our 30 math problems for 8th graders with answers.
Table of contents
The number system
Students should know the definitions of whole numbers, natural numbers, integers, rational numbers, and irrational numbers.
1. Determine whether the following number is natural, whole, integer, rational, or irrational: √81
Check all that apply.
Answer
2. Determine whether the following number is natural, whole, integer, rational, or irrational: 2.7777777…
Check all that apply.
Answer
3. Determine whether the following number is natural, whole, integer, rational, or irrational: π
Check all that apply.
Answer
Expressions and equations
Students should be comfortable working with two-variable equations, radicals, and integer exponents.
4. What is the value of: (-5) + (-9)?
Answer
5. What is the value of: (-1/2) + (-2/3)?
Answer
6. What is the value of: √144?
Answer
7. If x² = 0.36, what is the value of x?
Answer
8. What is the value of: ∛343?
Answer
9. Which expression has a value of -4?
Answer
Why:
|‑2| − |‑6| = 2 − 6 = −4
- A = 4
- B = −2
- C = 4
10. What is the value of 14 + 2(10 – 4)²?
Answer
11. What is the slope of the linear equation y = 4x + 6?
Answer
12. Solve for y in terms of x: 5x + 3y = 15
Answer
13. How is 0.4200 written in scientific notation?
Answer
Functions
8th graders should understand how functions work and be able to define, analyze, and create functions using data sets and word problems.
14. Is this set of ordered pairs a function?
(1, 12)
(3, 16)
(3, 18)
(1, 20)
Answer
15. Is this data an example of a function?
3, 6
6, 9
9, 12
12, 15
Answer
16. Find the value of f(3) if f(x) = 2x² + 8x – 2.
Answer
17. A math teacher gives her students 2 quizzes every month. Write a function that explains the relationship between the number of months elapsed (x) and the total number of quizzes (y).
Answer
18. Alex holds his balloon 4 feet above the ground. The balloon rises 3 feet every second. Write a function that explains the balloon’s elevation (y) after x seconds.
Answer
Geometry
19. Rectangle ABCD is similar to rectangle EFGH. What is the value of x?
Answer
20. Lines e and f are parallel. Which angle is supplementary to angle 6?
Answer
21. Using the Pythagorean Theorem, what is the value of x?
Answer
22. If angle 2 measures 35 degrees, what is the measure of angle 1?
Answer
23. Calculate the volume of the following shape.
Answer
Statistics and probability
In 8th grade, students learn to analyze data sets and make predictions based on the rules of statistics and probability.
24. Which of the following most likely represents an outlier on a scatter plot that relates women’s age to their shoe size?
Answer
25. Which of the following represents a scatterplot with a negative association?
Answer
26. A scatterplot correlates the ages of trees to their height in feet. What does the point (14, 42) represent?
Answer
27. Amy is rolling a 6-sided die. What is the probability she rolls a 6 two times in a row?
Answer
28. Justine has 5 drink options, 3 main courses, and 2 sides. How many different meal combinations are possible?
Answer
29. If you roll two 6-sided dice and flip a coin, how many total possible outcomes are there?
Answer
30. Billy draws 1 card from a standard 52-card deck. What is the probability of drawing a 10? Express your answer as a decimal rounded to the nearest hundredth.
Answer
About the Author
Tess Loucka
Tess Loucka discovered her passion for writing in high school and has not stopped writing since. Combined with her love of numbers, she became a math and English tutor, focusing on middle- and high-school-level topics. Since graduating from Hunter College, her goal has been to use her writing to spread knowledge and the joy of learning to readers of all ages.