Try these Math Teasers

Here are 20 math teasers for 7th-grade students (see below for math teasers for 6-grader students):

  1. Algebraic Challenge: Solve for y: 2y + 5 = 17.
  2. Fraction Mystery: If you subtract 3/8 from a number and get 5/8, what is the number?
  3. Geometry Brain Teaser: Find the area of a parallelogram with a base of 12 meters and a height of 8 meters.
  4. Number Pattern: What comes next in this sequence: 10, 20, 30, 40, _?
  5. Order of Operations Challenge: Calculate this expression: (6 + 3) × (4 – 2) ÷ 5.
  6. Prime Numbers: List the first five prime numbers greater than 100.
  7. Decimal Dilemma: If you divide 1.5 by 0.5, what is the result?
  8. Word Problem: If a train travels at a speed of 70 miles per hour for 2.5 hours, how far does it travel?
  9. Fraction Riddle: What fraction of a day is 12 hours?
  10. Logic Puzzle: You have two containers, one with a capacity of 7 liters and the other with a capacity of 4 liters. How can you measure exactly 2 liters of water?
  11. Geometry Puzzle: Find the perimeter of a rectangle with a length of 9 meters and a width of 5 meters.
  12. Exponent Exercise: Simplify 3^2 × 3^3.
  13. Proportion Problem: If 4 textbooks cost $60, how much do 9 textbooks cost?
  14. Measurement Mystery: If there are 100 centimeters in a meter, how many centimeters are in 2.5 meters?
  15. Percent Challenge: If you have a 25% discount on a $80 jacket, what is the sale price?
  16. Square Roots: Calculate the square root of 169.
  17. Fraction Comparison: Which is greater, 5/6 or 7/8? Explain your reasoning.
  18. Geometry Challenge: Determine the volume of a cone with a radius of 6 inches and a height of 8 inches.
  19. Probability Puzzle: If you flip a coin three times, what is the probability of getting heads on all three flips?
  20. Algebraic Expression: Simplify the expression: 2(3x + 4) – 5x.

These math teasers cover a variety of math concepts and problem-solving skills suitable for 7th-grade students, providing them with engaging opportunities to practice and apply their mathematical knowledge.

          20 math teasers for 6th-grade students:

  1. Multiplication Challenge: What’s the product of 9 and 7, and then subtract 14 from the result?
  2. Fraction Riddle: If you have 1/3 of a pizza left and you eat 2/3 of it, how much pizza do you have left?
  3. Number Pattern: What comes next in this sequence: 4, 9, 16, 25, _?
  4. Geometry Concepts: Calculate the perimeter of a square with a side length of 6 inches.
  5. Order of Operations: Solve this equation following the order of operations (PEMDAS/BODMAS): 6 + 3 × 4 ÷ 2 = ?
  6. Prime or Composite: Is the number 41 prime or composite? Explain why.
  7. Fraction Challenge: If you have 2/5 of a candy bar and your friend gives you 3/5 of another, how much candy do you have in total?
  8. Word Problem: There are 30 students in a class. If 1/4 of them are absent, how many students are present?
  9. Decimal Dilemma: What is the result of adding 2.3 to 1.7?
  10. Logic Puzzle: Three friends found 12 marbles. They want to share them equally but have to leave one marble behind. How did they divide the marbles, and why?
  11. Geometry Challenge: Calculate the area of a rectangle with dimensions: length = 8 cm and width = 5 cm.
  12. Exponent Exercise: Simplify 2^4 × 2^2.
  13. Proportion Problem: If 3 bags of apples cost $12, how much do 6 bags of apples cost?
  14. Measurement Mystery: If there are 100 centimeters in a meter, how many centimeters are in 2.5 meters?
  15. Percent Challenge: If a shirt originally costs $25, and it’s on sale for 20% off, what is the sale price?
  16. Square Roots: What is the square root of 121?
  17. Fraction Comparison: Which is greater, 4/5 or 7/8? Explain your reasoning.
  18. Probability Puzzle: If you roll a standard six-sided die, what is the probability of rolling an even number?
  19. Algebraic Expression: Simplify the expression: 3(2x + 4) – 2x.
  20. Logic Challenge: You have two containers, one with a capacity of 9 liters and the other with a capacity of 4 liters. How can you measure exactly 6 liters of water?

These math teasers cover a range of mathematical concepts and problem-solving skills that are typically taught in 6th-grade math curricula, providing opportunities for students to practice and deepen their understanding of these topics.

Scroll to Top