120 True or False Math Questions With Answers

Each question includes the correct answer, and false statements include a correction. Use the set for classroom warm-ups, homework review, formative assessment, tutoring, team games, or a progressively harder math challenge.

120 True or False Math Questions With Answers

The questions are divided into eight sections. The opening rounds focus on familiar calculations, while later sections require closer attention to mathematical rules, relationships, and reasoning.

• Questions 1–20: Easy Arithmetic and Number Sense
• Questions 21–40: Multiplication, Division, and Order of Operations
• Questions 41–55: Fractions, Decimals, and Percentages
• Questions 56–70: Geometry and Measurement
• Questions 71–85: Algebra and Number Patterns
• Questions 86–100: Ratios, Probability, and Statistics
• Questions 101–110: Math Word Problems
• Questions 111–120: Hard Math Challenge

Easy Arithmetic and Number Sense True or False Questions — 1–20

1. 7 + 8 = 15.
   Answer: True.
2. 14 - 9 = 6.
   Answer: False. 14 - 9 = 5.
3. 25 + 17 = 42.
   Answer: True.
4. 100 - 37 = 63.
   Answer: True.
5. 9 + 6 = 14.
   Answer: False. 9 + 6 = 15.
6. 50 - 18 = 31.
   Answer: False. 50 - 18 = 32.
7. 0 + 43 = 43.
   Answer: True. Adding zero does not change a number.
8. 75 - 25 = 40.
   Answer: False. 75 - 25 = 50.
9. 99 + 1 = 100.
   Answer: True.
10. 120 - 45 = 85.
    Answer: False. 120 - 45 = 75.
11. 2 is the only even prime number.
    Answer: True.
12. 1 is a prime number.
    Answer: False. A prime number has exactly two positive factors. The number 1 has only one.
13. Every even number is divisible by 4.
    Answer: False. For example, 6 is even but is not divisible by 4.
14. 0 is an even number.
    Answer: True. Zero is divisible by 2 with no remainder.
15. Negative numbers can be integers.
    Answer: True. Examples include -1, -7, and -100.
16. Every whole number is positive.
    Answer: False. Zero is a whole number but is not positive.
17. 10² = 100.
    Answer: True.
18. √64 = 6.
    Answer: False. The principal square root of 64 is 8.
19. 3³ = 27.
    Answer: True. 3 × 3 × 3 = 27.
20. The absolute value of -8 is -8.
    Answer: False. The absolute value of -8 is 8.

Multiplication, Division, and Order of Operations — 21–40

1. 6 × 7 = 42.
   Answer: True.
2. 8 × 9 = 70.
   Answer: False. 8 × 9 = 72.
3. 54 ÷ 6 = 8.
   Answer: False. 54 ÷ 6 = 9.
4. 72 ÷ 9 = 8.
   Answer: True.
5. 5 × 12 = 60.
   Answer: True.
6. 100 ÷ 4 = 20.
   Answer: False. 100 ÷ 4 = 25.
7. Any nonzero number divided by itself equals 1.
   Answer: True.
8. 0 ÷ 5 = 5.
   Answer: False. 0 ÷ 5 = 0.
9. Dividing a number by zero gives an answer of zero.
   Answer: False. Division by zero is undefined in ordinary arithmetic.
10. 14 × 3 = 42.
    Answer: True.
11. Multiplication is performed before addition when there are no parentheses changing the order.
    Answer: True.
12. 3 + 4 × 2 = 14.
    Answer: False. Multiplication comes first, so 3 + 8 = 11.
13. (3 + 4) × 2 = 14.
    Answer: True.
14. 20 - 6 ÷ 2 = 7.
    Answer: False. 6 ÷ 2 = 3, so the result is 17.
15. 2⁴ = 16.
    Answer: True.
16. 5⁰ = 0.
    Answer: False. Any nonzero number raised to the power 0 equals 1.
17. (−3)² = −9.
    Answer: False. (−3) × (−3) = 9.
18. 18 ÷ 3 × 2 = 12.
    Answer: True. Division and multiplication have equal priority and are handled from left to right.
19. 4 + 12 ÷ 4 × 2 = 8.
    Answer: False. 12 ÷ 4 × 2 = 6, so the result is 10.
20. 7 × (5 - 2) = 21.
    Answer: True.

Fractions, Decimals, and Percentages — 41–55

1. 1/2 is equal to 0.5.
   Answer: True.
2. 3/4 is equal to 0.65.
   Answer: False. 3/4 = 0.75.
3. 2/5 is equal to 40%.
   Answer: True.
4. 25% is equal to 1/5.
   Answer: False. 25% = 1/4.
5. 0.75 is equal to 75%.
   Answer: True.
6. 1/3 + 1/3 = 1.
   Answer: False. 1/3 + 1/3 = 2/3.
7. 3/8 + 2/8 = 5/8.
   Answer: True.
8. 5/6 - 1/6 = 3/6.
   Answer: False. The result is 4/6, which simplifies to 2/3.
9. 2/3 × 3/4 = 1/2.
   Answer: True.
10. 4/5 divided by 2 equals 2/5.
    Answer: True.
11. 0.4 + 0.35 = 0.85.
    Answer: False. 0.4 + 0.35 = 0.75.
12. 1.25 + 2.5 = 3.75.
    Answer: True.
13. 10% of 90 is 19.
    Answer: False. 10% of 90 is 9.
14. 35% of 200 is 70.
    Answer: True.
15. Increasing 50 by 20% gives 55.
    Answer: False. 20% of 50 is 10, so the new value is 60.

Geometry and Measurement True or False Questions — 56–70

1. The interior angles of a triangle add up to 180° in Euclidean geometry.
   Answer: True.
2. A square with side length 6 cm has a perimeter of 30 cm.
   Answer: False. Its perimeter is 4 × 6 = 24 cm.
3. A rectangle measuring 8 cm by 5 cm has an area of 40 cm².
   Answer: True.
4. Every rectangle is a square.
   Answer: False. A square is a special rectangle, but rectangles do not need four equal sides.
5. A cube has six faces.
   Answer: True.
6. The circumference of a circle with radius r is πr.
   Answer: False. The circumference is 2πr.
7. A right triangle can never be an isosceles triangle.
   Answer: False. A 45°-45°-90° triangle is both right and isosceles.
8. The interior angles of a quadrilateral add up to 360°.
   Answer: True.
9. An equilateral triangle contains one 90° angle.
   Answer: False. Each angle of an equilateral triangle measures 60°.
10. 1 meter equals 100 centimeters.
    Answer: True.
11. 1 kilometer equals 100 meters.
    Answer: False. 1 kilometer equals 1,000 meters.
12. 2.5 kilograms equals 2,500 grams.
    Answer: True.
13. 1 liter equals 100 milliliters.
    Answer: False. 1 liter equals 1,000 milliliters.
14. 90 minutes equals 1.5 hours.
    Answer: True.
15. 1 square meter equals 100 square centimeters.
    Answer: False. 1 m² equals 10,000 cm².

Algebra and Number Pattern True or False Questions — 71–85

1. If x + 5 = 12, then x = 7.
   Answer: True.
2. If 3x = 18, then x = 5.
   Answer: False. x = 6.
3. x = 4 satisfies the equation 2x + 3 = 11.
   Answer: True. 2(4) + 3 = 11.
4. If y = 2x + 1 and x = 3, then y = 7.
   Answer: True.
5. If 4x - 8 = 20, then x = 6.
   Answer: False. 4x = 28, so x = 7.
6. If x ÷ 5 = 4, then x = 9.
   Answer: False. x = 20.
7. If 2(x + 3) = 14, then x = 4.
   Answer: True.
8. The equation x² = 25 has only one solution, x = 5.
   Answer: False. Over the real numbers, the solutions are x = 5 and x = -5.
9. The next term in 2, 5, 8, 11 is 14.
   Answer: True. Each term increases by 3.
10. The sequence 3, 6, 12, 24 doubles each time.
    Answer: True.
11. A horizontal line has an undefined slope.
    Answer: False. A horizontal line has slope 0.
12. Every point on the vertical line x = 4 has an x-coordinate of 4.
    Answer: True.
13. The y-intercept of y = 3x + 2 is 3.
    Answer: False. The y-intercept is 2.
14. 4(a + 2) = 4a + 8.
    Answer: True. This follows the distributive property.
15. (a + b)² = a² + b² for all real numbers a and b.
    Answer: False. (a + b)² = a² + 2ab + b².

Ratios, Probability, and Statistics — 86–100

1. The mean of 2, 4, and 6 is 5.
   Answer: False. The mean is (2 + 4 + 6) ÷ 3 = 4.
2. The median of 3, 5, and 100 is 5.
   Answer: True.
3. Every data set must have a mode.
   Answer: False. A data set may have no repeated value and therefore no mode under the usual definition.
4. The probability of heads on one toss of a fair coin is 1/2.
   Answer: True.
5. The probability of rolling a number greater than 4 on a fair six-sided die is 1/2.
   Answer: False. The favorable outcomes are 5 and 6, so the probability is 2/6 = 1/3.
6. The ratios 2:3 and 4:6 are equivalent.
   Answer: True.
7. The ratio 30:45 simplifies to 3:4.
   Answer: False. Dividing both terms by 15 gives 2:3.
8. 5 out of 20 is equal to 25%.
   Answer: True.
9. The range of the numbers 4, 7, and 9 is 13.
   Answer: False. The range is 9 - 4 = 5.
10. The average of 10, 20, 30, and 40 is 20.
    Answer: False. The mean is 100 ÷ 4 = 25.
11. The exterior angles of a convex polygon, taking one at each vertex in the same direction, add up to 360°.
    Answer: True.
12. If a value increases by 25% and is then decreased by 20%, it returns to its original value.
    Answer: True. For example, 100 becomes 125, and 20% of 125 is 25, returning the value to 100.
13. Multiplying both terms of a ratio by the same nonzero number changes the value of the ratio.
    Answer: False. Equivalent ratios are created by multiplying both terms by the same nonzero factor.
14. An impossible event has probability 0.
    Answer: True.
15. A probability can equal 1.2.
    Answer: False. A probability must be between 0 and 1 inclusive.

True or False Math Word Problems — 101–110

1. Four boxes containing 6 books each contain 24 books altogether.
   Answer: True. 4 × 6 = 24.
2. If 36 cookies are shared equally among 6 people, each person receives 5 cookies.
   Answer: False. 36 ÷ 6 = 6 cookies each.
3. Three books costing $12 each cost $36 altogether.
   Answer: True.
4. 40% of a class of 30 students is 10 students.
   Answer: False. 40% of 30 is 12.
5. A vehicle traveling at 60 kilometers per hour for 3 hours covers 120 kilometers.
   Answer: False. 60 × 3 = 180 kilometers.
6. A 25% discount on an $80 item is $20.
   Answer: True.
7. If 3 slices are eaten from a pizza cut into 8 equal slices, 5/8 of the pizza remains.
   Answer: True.
8. Two pens costing $1.50 each cost $4 in total.
   Answer: False. The total is $3.
9. Five rows of 7 chairs contain 35 chairs.
   Answer: True.
10. A rectangle that is 10 meters long and 4 meters wide has a perimeter of 30 meters.
    Answer: False. Its perimeter is 2(10 + 4) = 28 meters.

Hard True or False Math Questions — 111–120

1. The repeating decimal 0.999... is equal to 1.
   Answer: True. They are two representations of the same real number.
2. Irrational numbers cannot be represented on the number line.
   Answer: False. Irrational numbers such as √2 and π correspond to points on the real number line.
3. √2 is an irrational number.
   Answer: True.
4. A prime number greater than 2 can be even.
   Answer: False. Any even integer greater than 2 is divisible by 2 and therefore is not prime.
5. The sum of the first n positive odd numbers is n².
   Answer: True. For example, 1 + 3 + 5 + 7 = 16 = 4².
6. Every quadratic equation has two distinct real-number solutions.
   Answer: False. A quadratic may have two distinct real roots, one repeated real root, or no real roots.
7. Every repeating decimal is irrational.
   Answer: False. Repeating decimals represent rational numbers.
8. The sum of two rational numbers is always rational.
   Answer: True.
9. π is a rational number.
   Answer: False. π is irrational.
10. For a right triangle with legs a and b and hypotenuse c, a² + b² = c².
    Answer: True. This is the Pythagorean theorem.

Find More True or False Questions Beyond Math

Math True or False questions are useful for checking equations, properties, and mathematical reasoning, but the same format can also be used for science, history, holidays, general knowledge, and other topics.

Explore these true or false questions with answers when you want to keep the same two-choice format while changing subjects.

Practice Math Without True or False Clues

True or False gives students two possible responses, making it useful for identifying misconceptions quickly. When you want students to calculate or recall an answer without that clue, switch to an open-response format.

Use these fill-in-the-blank math questions for practice with arithmetic, fractions, decimals, geometry, algebra, percentages, and word problems.

Turn Math True or False Questions Into an Online Quiz

Choose questions that match the lesson objective before building the activity. Begin with statements students should recognize, then introduce equations and misconceptions that require more careful reasoning.

Use the True or False Quiz Maker when you want students to answer the statements in a scored digital quiz.

Ask Students to Explain Their Answer

A correct True or False response does not always prove that a student understands the mathematics. Asking for a short explanation can reveal whether the answer came from reasoning or guessing.

Correct False Statements

After students identify a statement as false, ask them to rewrite it correctly. For example, “25% equals 1/5” becomes “25% equals 1/4.”

Avoid Predictable Answer Patterns

Do not place long sequences of True or False answers together unnecessarily. Students should evaluate the mathematics rather than predict the next response.

Use True or False Math Questions in the Classroom

For Math Warm-Ups

Start class with three to five statements based on material students have already learned. Ask students to answer first, then discuss the reasoning as a class.

For Formative Assessment

Use several statements immediately after teaching a skill. Incorrect answers can reveal misconceptions before students move to more difficult exercises.

For Error Analysis

Deliberately include common mistakes such as incorrect fraction addition, order-of-operations errors, or confused area and perimeter formulas. Students can identify and correct the error.

For Test Review

Mix arithmetic, fractions, geometry, algebra, ratios, probability, and word problems to help students switch between different mathematical ideas.

For Team Challenges

Let teams discuss each statement before choosing True or False. Award an additional point when the team can explain or correct the mathematics accurately.

Organize Math Questions by Skill and Difficulty

A large math collection becomes more useful when questions are separated by subject area, lesson objective, and difficulty. For example, fraction questions can be stored separately from algebra or geometry questions even when all of them use the True or False format.

If you regularly reuse questions across lessons, see how to build a question bank for your class so questions can be organized and selected again later.

Group Questions by Math Skill

Use categories such as arithmetic, fractions, percentages, geometry, algebra, statistics, probability, and word problems.

Add Difficulty Levels

Label statements as easy, medium, or challenging based on the reasoning required rather than simply the size of the numbers.

Tag Common Misconceptions

Statements involving division by zero, fraction addition, negative exponents, area, probability, or algebraic expansion can be tagged according to the misconception they are designed to reveal.

How to Build a Balanced 20-Question Math Quiz

You do not need all 120 statements for one activity. A balanced 20-question review can include:

• 3 Arithmetic Questions
• 3 Multiplication or Order-of-Operations Questions
• 3 Fraction, Decimal, or Percentage Questions
• 3 Geometry and Measurement Questions
• 3 Algebra Questions
• 2 Probability or Statistics Questions
• 2 Word Problems
• 1 Hard Final Question

For a lesson-specific activity, replace the mixed structure with more questions from the skill students are currently practicing.

How to Write Better True or False Math Questions

Test One Mathematical Idea at a Time

A statement containing several unrelated claims can be difficult to evaluate. Keep each question focused on one calculation, property, relationship, or rule.

Use Common Errors Carefully

False statements are especially useful when they reflect mistakes students actually make, such as adding denominators, ignoring parentheses, or confusing area with perimeter.

Do Not Make False Answers Too Obvious

A statement such as “2 + 2 = 900” does not test much reasoning. A believable incorrect answer is more useful because students must calculate or recall the rule.

Correct the Mathematics After the Answer

When a statement is false, show the correct calculation or rule immediately. This helps prevent students from remembering the incorrect version.

Use Precise Mathematical Language

Words such as “all,” “only,” “always,” “positive,” “whole,” “integer,” and “real” can completely change a statement's meaning. Use them deliberately.

Balance Calculation and Concept Questions

A strong set should not consist entirely of arithmetic. Include mathematical properties, definitions, equations, patterns, geometry, probability, and reasoning.

Ready to Start a Math True or False Quiz?

These 120 true or false math questions with answers provide a flexible collection for arithmetic practice, classroom review, homework, formative assessment, tutoring, and team challenges.

Choose the skills that match your lesson, ask students to explain difficult answers, and use NineQuiz when you are ready to bring the math activity online.