Use these 56 math trivia questions for 6th graders with answers to review operations, fractions, ratios, integers, equations, geometry, and data. Each question comes with an answer and a short explanation. Teachers can pick topics for classroom practice, while students can work through problems independently before checking their solutions. Begin with number sense and operations below.
Math trivia questions for 6th graders: number sense and operations
- What is the least common multiple of 4 and 6?
Answer: 12. Explanation: The smallest positive number divisible by both 4 and 6 is 12. - What is the value of 3 + 2 × (4 − 1)?
Answer: 9. Explanation: Calculate inside the parentheses first, then multiply: 3 + 2 × 3 = 9. - Is 37 prime or composite?
Answer: Prime. Explanation: Its only positive factors are 1 and 37. - What is the greatest common factor of 18 and 24?
Answer: 6. Explanation: Both numbers are divisible by 6, and no greater whole number divides both. - What is 2 to the fifth power?
Answer: 32. Explanation: Multiply five factors of 2: 2 × 2 × 2 × 2 × 2 = 32. - Is 450 divisible by 9?
Answer: Yes. Explanation: Its digits add to 9, so 450 is divisible by 9; 450 ÷ 9 = 50. - What is the remainder when 53 is divided by 6?
Answer: 5. Explanation: Six groups of 8 make 48, leaving 5. - Which is greater: 5 squared or 2 cubed?
Answer: 5 squared. Explanation: 5² = 25, while 2³ = 8.
Fractions and decimals: compare and calculate
- Which is greater: 3/4 or 0.7?
Answer: 3/4. Explanation: 3/4 = 0.75, which is greater than 0.70. - What is 2/3 divided by 1/3?
Answer: 2. Explanation: Two pieces of size 1/3 fit into 2/3. - What fraction equivalent to 3/5 has a denominator of 20?
Answer: 12/20. Explanation: Multiply both the numerator and denominator by 4. - What is 5/6 − 1/4?
Answer: 7/12. Explanation: Convert to twelfths: 10/12 − 3/12 = 7/12. - A ribbon is 2.5 meters long. If 0.8 meter is cut off, how much remains?
Answer: 1.7 meters. Explanation: Subtract 0.8 from 2.5. - What is 1.2 × 0.5?
Answer: 0.6. Explanation: Multiplying by 0.5 is the same as finding half. - Write 0.375 as a fraction in simplest form.
Answer: 3/8. Explanation: 0.375 = 375/1,000; dividing numerator and denominator by 125 gives 3/8. - What is 1 1/2 + 2/3?
Answer: 2 1/6. Explanation: In sixths, 9/6 + 4/6 = 13/6, or 2 1/6.
Ratios, unit rates, and percentages: everyday challenges
- If 3 notebooks cost $6 at the same price each, what is the cost per notebook?
Answer: $2 per notebook. Explanation: Divide $6 by 3 notebooks. - What is 25% of 40?
Answer: 10. Explanation: 25% is one-fourth, and one-fourth of 40 is 10. - A paint mix uses 2 cups of blue paint for every 3 cups of white paint. How many cups of white paint are needed for 6 cups of blue paint at the same ratio?
Answer: 9 cups. Explanation: The blue amount is multiplied by 3, so multiply 3 cups of white by 3 as well. - A cyclist travels 24 miles in 2 hours at a constant speed. What is the speed in miles per hour?
Answer: 12 miles per hour. Explanation: Divide 24 miles by 2 hours. - In a class of 20 students, 8 choose chess. What percentage of the class chooses chess?
Answer: 40%. Explanation: 8/20 = 0.4 = 40%. - A recipe uses 4 cups of water for 2 cups of rice. What is the ratio of water to rice in simplest whole-number terms?
Answer: 2:1. Explanation: Divide both parts of 4:2 by 2. - A 12-ounce bag contains 3 servings. How many ounces are in each equal serving?
Answer: 4 ounces. Explanation: Divide 12 ounces by 3 servings. - A book has 80 pages. If you have read 60 pages, what percentage have you read?
Answer: 75%. Explanation: 60/80 = 3/4 = 75%.
Integers and coordinates: signs, distances, and locations
- What is the opposite of −7?
Answer: 7. Explanation: Opposites are the same distance from zero on opposite sides of the number line. - How many units apart are (2, 3) and (2, 8) on a coordinate plane?
Answer: 5 units. Explanation: The x-coordinates are the same, and the y-coordinates differ by 8 − 3 = 5. - What is the absolute value of −12?
Answer: 12. Explanation: Absolute value measures distance from zero. - Which is greater: −4 or −9?
Answer: −4. Explanation: −4 is to the right of −9 on a number line. - Order −2, 5, 0, and −6 from least to greatest.
Answer: −6, −2, 0, 5. Explanation: Read the numbers from left to right on a number line. - A submarine is at −30 meters relative to sea level. What is its distance from sea level?
Answer: 30 meters. Explanation: The absolute value of −30 is 30. - In which quadrant is the point (−3, 4)?
Answer: Quadrant II. Explanation: Its x-coordinate is negative and its y-coordinate is positive. - What point is the reflection of (5, −2) across the y-axis?
Answer: (−5, −2). Explanation: Reflection across the y-axis changes the sign of the x-coordinate, not the y-coordinate.
Expressions and equations: evaluate and solve
- What is 3x + 2 when x = 4?
Answer: 14. Explanation: Substitute 4 for x: 3 × 4 + 2 = 14. - What value of x makes x + 7 = 12 true?
Answer: 5. Explanation: Subtract 7 from both sides; 5 + 7 = 12. - Solve 4y = 28.
Answer: y = 7. Explanation: Divide both sides by 4; 4 × 7 = 28. - Which expression is equivalent to 3(a + 2): 3a + 2 or 3a + 6?
Answer: 3a + 6. Explanation: Multiply both terms inside the parentheses by 3. - Evaluate 2n² when n = 3.
Answer: 18. Explanation: Square 3 first, then multiply: 2 × 9 = 18. - A number divided by 5 is 9. What is the number?
Answer: 45. Explanation: Multiply 9 by 5; 45 ÷ 5 = 9. - Solve 2x + 3 = 15.
Answer: x = 6. Explanation: Subtract 3, then divide by 2; 2 × 6 + 3 = 15. - Write an expression for 8 more than twice a number n.
Answer: 2n + 8. Explanation: Twice the number is 2n; add 8.
Geometry and measurement: shapes, area, and volume
- What is the area of a rectangle that is 7 cm long and 4 cm wide?
Answer: 28 square centimeters. Explanation: Multiply length by width: 7 × 4 = 28. - What is the volume of a rectangular prism measuring 2 cm by 3 cm by 4 cm?
Answer: 24 cubic centimeters. Explanation: Multiply the three dimensions: 2 × 3 × 4 = 24. - A square has a side length of 6 cm. What is its perimeter?
Answer: 24 cm. Explanation: Add its four equal sides: 4 × 6 = 24. - How many sides does a hexagon have?
Answer: 6. Explanation: A hexagon is a polygon with six sides. - A triangle has a base of 10 cm and a corresponding height of 6 cm. What is its area?
Answer: 30 square centimeters. Explanation: Half of base times height is 10 × 6 ÷ 2 = 30. - A rectangular room is 5 meters long and 3 meters wide. How many meters of trim are needed around its perimeter, ignoring doorways?
Answer: 16 meters. Explanation: Add the four side lengths: 5 + 3 + 5 + 3 = 16. - A cube has edges 3 cm long. What is its volume?
Answer: 27 cubic centimeters. Explanation: Multiply its three equal dimensions: 3 × 3 × 3 = 27. - A parallelogram has a base of 8 cm and a perpendicular height of 5 cm. What is its area?
Answer: 40 square centimeters. Explanation: Multiply the base by the perpendicular height: 8 × 5 = 40.
Data and statistics: read, compare, and summarize
- What is the median of 2, 4, 5, 7, and 9?
Answer: 5. Explanation: The numbers are ordered, and 5 is the middle value. - What is the mean of 3, 5, and 7?
Answer: 5. Explanation: Add the values and divide by 3: 15 ÷ 3 = 5. - What is the mode of 2, 3, 3, 4, and 5?
Answer: 3. Explanation: It appears twice; every other value appears once. - What is the range of 6, 11, 8, and 15?
Answer: 9. Explanation: Subtract the minimum from the maximum: 15 − 6 = 9. - What is the median of 4, 6, 8, and 10?
Answer: 7. Explanation: Average the two middle values: (6 + 8) ÷ 2 = 7. - Four students read 2, 4, 3, and 5 books. How many books did they read in total?
Answer: 14 books. Explanation: Add the four counts: 2 + 4 + 3 + 5 = 14. - Two plants grew 12 cm and 17 cm. How much more did the taller growth measurement exceed the shorter one?
Answer: 5 cm. Explanation: Subtract 12 from 17. - A set of scores is 4, 4, 6, 6, and 6. What is its mean?
Answer: 5.2. Explanation: The scores total 26, and 26 ÷ 5 = 5.2.
How to write and use better 6th-grade math quiz questions
Choose topics students have studied
Pick a round that matches recent lessons, then mix familiar questions with a few that require an extra step. Students practicing independently can answer first and then check the explanation.
Give every question enough information
Include the quantities, units, and conditions needed for one defensible answer. For a coordinate question, for example, name both points and make the requested distance or reflection clear.
Check answers and units
Solve each question independently and check that its explanation matches. Look for common mix-ups, such as reporting area in centimeters instead of square centimeters.
Set clear rules for a class round
Choose a short selection, explain how turns and points work, and allow time to discuss solutions. For a broader mixed-skill math review, explore Math quiz. For classroom-friendly trivia rounds, try Fun math trivia questions and answers for the classroom.
Explore more 6th-grade math quiz formats
Multiple choice asks students to select from options, while true or false asks them to judge a statement. Fill-in-the-blank questions prompt a missing value; short-answer questions can also ask students to explain their reasoning. Explore quiz question types as you consider how to present your own questions.
Ready to create a 6th-grade math quiz?
Once you have selected questions and checked their answers, explore NineQuiz for online quizzes and assessments. You can also visit the Quick Quiz page as a next step.