Number sequence puzzles are an excellent way to sharpen your brain while having fun. They enhance attention to detail, boost mental agility, and strengthen mathematical reasoning.
While there are countless formulas to arrive at a solution, most problems have one clear answer.
In this page, we’ve included several number sequence puzzles to help you exercise your brain, especially if you enjoy these types of challenges.
Try to predict the next or missing number in each sequence and see how many you can solve.
If you’re stuck, simply click the arrow in the content toggle to reveal the solution (hidden to avoid spoilers).
Puzzle #1
Answer
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Answer: 20
Explanation:
This puzzle follows a simple pattern: each number on the left is multiplied by one less than itself to get the result on the right.
For example,
8 × 7 = 56
7 × 6 = 42
and 6 × 5 = 30.
So, to find the answer for 5, you multiply it by 4 (5 × 4), which equals 20.
To solve puzzles like this, look for a clear pattern, usually involving basic arithmetic. Don’t overthink it—most puzzles are based on simple mathematical relationships.
Puzzle #2
Answer
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Answer: 20
Explanation:
There are two methods you can use to solve this puzzle, both leading to the same answer.
Method 1: Identify the Pattern in Differences
In this approach, you observe the differences between the results:
- 12 = 2, 22 = 6, and 32 =12.
- The differences are 6 − 2 = 4 and 12 − 6 = 6, which increase by 2.
- So, the next difference should be 8.
- Adding 8 to 12 gives 20, making 42=20.
Method 2: Square and Add the Number Itself
This method follows a more direct calculation:
- Take the number, square it, then add the number itself.
- For example: 12+1=2, 22 + 2 = 6; and 33 + 3 = 12.
- Following this logic, 42+4 = 16+4=20
Both methods offer a systematic way to solve this type of puzzle.
Puzzle #3
Answer
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Answer: 162
Explanation:
The answer to the puzzle is 162 based on the pattern that each number is first squared (multiplied by itself) and then doubled. Here’s the breakdown:
- 3 + 3: 3×3×2=18
- 4 + 4: 4×4×2=32
- 5 + 5: 5×5×2=50
- 6 + 6: 6×6×2=72
So, for 9 + 9: 9×9×2=162
Thus, the correct answer is 162.
Puzzle #4
Answer
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Answer: 175
Explanation:
The answer to the puzzle is 175 based on the pattern that each number is multiplied by 15 and then divided by the second number. Here’s the breakdown:
- 6#6: (6×15)/6=15
- 8#6: (8×15)/6=20
- 10#5: (10×15)/5=30
- 20#4: (20×15)/4=75
For 70#6: (70×15)/6=175
Thus, the correct answer is 175, following the same mathematical pattern used in the previous examples
Puzzle #5
Answer
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Answer: 519
Explanation:
The answer to the puzzle is 519 based on the pattern that the second number is cubed (multiplied by itself three times) and the result is added to the first number. Here’s the breakdown:
- 3 + 4: 43=64, then 64+3=67
- 4 + 5: 53=125, then 125+4=129
- 5 + 6: 63=216, then 216+5=221
- 6 + 7: 73=343, then 343+6=349 3
For 7 + 8: 83=512, then 512+7=519
Thus, the correct answer is 519.