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30 Brain-Boosting Mathematical Logic And Reasoning Questions For Kids | 2024 Reveals


Thorin Tran 01 February, 2024 7 min read

Looking for reliable means to test your children’s mathematics and critical thinking abilities?

Check out our curated list of mathematical logic and reasoning questions - kids’ edition! Each of the 30 questions is designed to engage young minds, sparking curiosity and cultivating a love for knowledge. 

Our goal with this post is to provide a resource that is not only educational but also enjoyable for kids. Learning should be fun, and what better way to learn than through puzzles and games that challenge the mind?

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Table of Contents

What is Mathematical Logic and Reasoning?

Mathematical logic and reasoning are all about using logical thinking to solve math problems. It's like being a detective in the world of numbers and patterns. You use math rules and ideas to figure out new things or solve tricky challenges. It's a different approach to math besides doing calculations. 

Mathematical logic explains how mathematical arguments are built and how you can move from one point to another in a logical way. Reasoning, on the other hand, is more about using these ideas in real-life situations. It's about solving puzzles, seeing how different pieces fit together in math, and making smart guesses based on the information you have.

Mathematical Logic And Reasoning Questions | Maths isn't just about numbers and calculations. Source:

Children who are introduced to mathematical logic and reasoning can develop the ability to think critically very early. They learn to analyze information, recognize patterns, and make connections, which are essential skills not just in academics but in everyday life. A good grasp of mathematical logic and reasoning also lays a solid foundation for advanced mathematical study. 

Mathematical Logic And Reasoning Questions For Kids (Answers Included)

Designing logical math questions for children is tricky. The questions must be challenging enough to engage their minds but not so challenging that they cause frustration. 


Here are 30 questions that stimulate the thinking process and encourage logical problem-solving:

  1. Pattern Identification: What comes next in the sequence: 2, 4, 6, 8, __?
  2. Simple Arithmetic: If you have three apples and you get two more, how many apples do you have in total?
  3. Shape Recognition: How many corners does a rectangle have?
  4. Basic Logic: If all cats have tails, and Whiskers is a cat, does Whiskers have a tail?
  5. Fraction Understanding: What is half of 10?
  6. Time Calculation: If a movie starts at 2 PM and is 1 hour and 30 minutes long, what time does it end?
  7. Simple Deduction: There are four cookies in the jar. You eat one. How many are left in the jar?
  8. Size Comparison: Which is bigger, 1/2 or 1/4?
  9. Counting Challenge: How many days are there in a week?
  10. Spatial Reasoning: If you turn a cup upside down, will it hold water?
  11. Numerical Patterns: What comes next: 10, 20, 30, 40, __?
  12. Logical Reasoning: If it is raining, the ground gets wet. The ground is wet. Did it rain?
  13. Basic Geometry: What shape is a standard soccer ball?
  14. Multiplication: What do 3 groups of 2 apples make?
  15. Measurement Understanding: Which is longer, a meter or a centimeter?
  16. Problem Solving: You have 5 candies and your friend gives you 2 more. How many candies do you have now?
  17. Logical Inference: All dogs bark. Buddy barks. Is Buddy a dog?
  18. Sequence Completion: Fill in the blank: Monday, Tuesday, Wednesday, __, Friday.
  19. Color Logic: If you mix red and blue paint, what color do you get?
  20. Simple Algebra: If 2 + x = 5, what is x?
  21. Perimeter Calculation: What is the perimeter of a square with each side measuring 4 units?
  22. Weight Comparison: Which is heavier, a kilogram of feathers or a kilogram of bricks?
  23. Temperature Understanding: Is 100 degrees Fahrenheit hot or cold?
  24. Money Calculation: If you have two $5 bills, how much money do you have?
  25. Logical Conclusion: If every bird has wings and a penguin is a bird, does a penguin have wings?
  26. Size Estimation: Is a mouse bigger than an elephant?
  27. Speed Understanding: If you walk slowly, will you finish a race faster than running?
  28. Age Puzzle: If your brother is 5 years old today, how old will he be in two years?
  29. Opposite Finding: What is the opposite of 'up'?
  30. Simple Division: How many pieces can you divide a pizza into if you make 4 straight cuts?
Mathematical Logic And Reasoning Questions | Your jaws will be dropping too if you learn how much maths can be applied to daily life.


Here are the answers to the logic and mathematical reasoning questions above, in the exact order:

  1. Next in Sequence: 10 (Add 2 each time)
  2. Arithmetic: 5 apples (3 + 2)
  3. Shape Corners: 4 corners
  4. Logic: Yes, Whiskers has a tail (since all cats have tails)
  5. Fraction: Half of 10 is 5
  6. Time Calculation: Ends at 3:30 PM
  7. Deduction: 3 cookies left in the jar
  8. Size Comparison: 1/2 is bigger than 1/4
  9. Counting: 7 days in a week
  10. Spatial Reasoning: No, it will not hold water
  11. Numerical Pattern: 50 (Increment by 10)
  12. Logical Reasoning: Not necessarily (the ground could be wet for other reasons)
  13. Geometry: Spherical (a sphere)
  14. Multiplication: 6 apples (3 groups of 2)
  15. Measurement: A meter is longer
  16. Problem Solving: 7 candies (5 + 2)
  17. Logical Inference: Possibly, but not necessarily (other animals can bark too)
  18. Sequence Completion: Thursday
  19. Color Logic: Purple
  20. Simple Algebra: x = 3 (2 + 3 = 5)
  21. Perimeter: 16 units (4 sides of 4 units each)
  22. Weight Comparison: They weigh the same
  23. Temperature: 100 degrees Fahrenheit is hot
  24. Money Calculation: $10 (two $5 bills)
  25. Logical Conclusion: Yes, a penguin has wings
  26. Size Estimation: An elephant is bigger than a mouse
  27. Speed Understanding: No, you will finish slower
  28. Age Puzzle: 7 years old
  29. Opposite Finding: Down
  30. Division: 8 pieces (if the cuts are made optimally)
Who would have thought maths could be fun? Mathematical Logic And Reasoning Questions

What are the 7 types of mathematical logic and reasoning questions?

The seven types of mathematical reasoning are:

  1. Deductive Reasoning: Involves deriving specific conclusions from general principles or premises.
  2. Inductive Reasoning: The opposite of deductive reasoning. It involves making generalizations based on specific observations or cases. 
  3. Analogical Reasoning: Involves drawing parallels between similar situations or patterns.
  4. Abductive Reasoning: This type of reasoning involves formulating an educated guess or hypothesis that best explains a given set of observations or data points.
  5. Spatial Reasoning: Involves visualizing and manipulating objects in space. 
  6. Temporal Reasoning: Focuses on understanding and reasoning about time, sequences, and order. 
  7. Quantitative Reasoning: Involves the ability to use numbers and quantitative methods to solve problems. 

To Conclude

We’ve reached the end of our exploration of the world of mathematical logic and reasoning for kids. We hope that by engaging with the problems above, your children can learn that mathematics isn’t just about numbers and rigid rules. Instead, they represent the world in a more structured and reasoned way. 

In the end, the goal is to support children’s overall development. The rules of mathematical logic and reasoning are about laying the groundwork for a lifelong journey of inquiry, exploration, and discovery. This will aid them in facing more complex challenges as they grow, ensuring they become well-rounded, thoughtful, and intelligent individuals.


What are mathematical logic and mathematical reasoning?

Mathematical logic is the study of formal logical systems and their applications in mathematics, focusing on how mathematical proofs are structured and conclusions are drawn. Mathematical reasoning, on the other hand, involves using logic and critical thinking skills to solve mathematical problems, making connections between concepts, and applying them to find solutions.

What is logical reasoning in maths?

In mathematics, logical reasoning uses a structured, rational process to move from known facts or premises to reach a logically sound conclusion. It encompasses identifying patterns, forming and testing hypotheses, and employing various methods like deduction and induction to solve problems and prove mathematical statements.

What does P ∧ Q mean?

The symbol "P ∧ Q" represents the logical conjunction of two statements, P and Q. It means "P and Q" and is true only if both P and Q are true. If either P or Q (or both) is false, then "P ∧ Q" is false. This operation is commonly known as the "AND" operation in logic.