Logical Math Questions and Answers

Want to improve your logical thinking and math skills? Check out these logical math questions and answers that will challenge your brain and help you sharpen your problem-solving abilities.

Mathematics is a fascinating subject that requires logical thinking and problem-solving skills. The beauty of mathematics lies in its ability to help us solve complex problems and make sense of the world around us. However, only some find math easy, and many struggles with even the most basic concepts.

One way to improve your math skills is by practising logical math questions and answers. These questions challenge your problem-solving abilities and help you think outside the box.

See also Tie Breaker Questions.

Logical Math Questions: Patterns and Sequences

1. What is the next number in the sequence 3, 6, 9, 12, 15, ___?
   • Answer: 18.
2. What is the missing number in the sequence 7, 14, 21, ___ , 35, 42?
   • Answer: 28.
3. What is the next number in the sequence 1, 4, 9, 16, 25, ___?
   • Answer: 36.
4. What is the missing number in the sequence 10, 20, 30, ___ , 50, 60?
   • Answer: 40.
5. What is the next number in the sequence 2, 4, 8, 16, 32, ___?
   • Answer: 64.
6. What is the next number in the pattern: 5, 10, 15, 20, __?
   • Answer: 25
7. What is the next number in the pattern: 1, 3, 5, 7, __?
   • Answer: 9
8. What is the next number in the pattern: 1, 1, 2, 3, 5, __?
   • Answer: 8
9. What is the next number in the pattern: 1, 2, 4, 7, __?
   • Answer: 11
10. What is the next number in the pattern: 2, 5, 10, 17, __?
    • Answer: 26

Logical Math Questions: Algebra

1. If x = 2, what is 2x + 3?
   • Answer: 7
2. If y = 5, what is 3y – 2?
   • Answer: 13
3. If z = 4, what is z^2 – 3z?
   • Answer: 4
4. If a = 6 and b = 3, what is 2a + b?
   • Answer: 15
5. If x = 3 and y = 4, what is x^2 + y^2?
   • Answer: 25
6. If a = 7 and b = 2, what is a – b?
   • Answer: 5
7. If x = 4 and y = 2, what is x + y?
   • Answer: 6
8. If a = 8 and b = 2, what is a/b?
   • Answer: 4
9. If x = 5 and y = 3, what is 2x – y?
   • Answer: 7
10. If a = 10 and b = 5, what is a + b/2?
    • Answer: 12.5

Logical Math Questions: Geometry

1. What is the name of a shape with three sides?
   • Answer: Triangle.
2. What is the name of a shape with four sides of equal length and four right angles?
   • Answer: Square.
3. What is the name of a shape with five sides?
   • Answer: Pentagon.
4. What is the name of a shape with six sides of equal length?
   • Answer: Hexagon.
5. What is the name of a shape with eight sides of equal length?
   • Answer: Octagon.
6. What is the name of a shape with a curved side and a flat base?
   • Answer: Cylinder.
7. What is the name of a shape with two parallel sides and two other sides that taper to a point?
   • Answer: Trapezoid.
8. What is the name of a shape with a curved surface and a circular base?
   • Answer: Cone.
9. What is the name of a shape with three sides and three angles, where one angle is greater than 90 degrees?
   • Answer: Obtuse triangle.
10. What is the name of a shape with four sides, where the opposite sides are parallel and the opposite sides are of equal length?
    • Answer: Parallelogram.

Logical Math Questions: Measurement

1. How many centimeters are in a meter?
   • Answer: 100 centimeters.
2. How many millimeters are in a centimeter?
   • Answer: 10 millimeters.
3. How many meters are in a kilometer?
   • Answer: 1,000 meters.
4. How many liters are in a gallon?
   • Answer: 3.785 liters.
5. How many feet are in a yard?
   • Answer: 3 feet.
6. How many ounces are in a pound?
   • Answer: 16 ounces.
7. How many pounds are in a kilogram?
   • Answer: 2.205 pounds.
8. How many cups are in a quart?
   • Answer: 4 cups.
9. How many quarts are in a gallon?
   • Answer: 4 quarts.
10. How many inches are in a foot?
    • Answer: 12 inches.

Logical Math Questions: Riddles

1. What has four legs in the morning, two legs in the afternoon, and three legs in the evening?
   • Answer: A human. Crawls on all fours as a baby, walks on two legs as an adult, and uses a cane in old age.
2. I am always in front of you but can’t be seen. What am I?
   • Answer: The future.
3. What is full of holes but still holds enough water?
   • Answer: A sponge.
4. What has a heart that doesn’t beat, a mouth that doesn’t eat, and a bed that never sleeps?
   • Answer: A river.
5. I am taken from a mine and shut up in a wooden case, from which I am never released, and yet I am used by almost every person. What am I?
   • Answer: Pencil lead.
6. I am light as a feather, yet the strongest man can’t hold me for more than a few minutes. What am I?
   • Answer: Breath.
7. What has a face and two hands but no arms or legs?
   • Answer: A clock.
8. What is so fragile that saying its name breaks it?
   • Answer: Silence.
9. What has a head and a tail but no body?
   • Answer: A coin.
10. What has a tongue but cannot talk, gets around a lot but cannot walk?
    • Answer: A shoe