45 Math Brain Teasers for Kids - DoodleLearning - Free Printable

- The circle is divided into 8 segments, each containing a number.
- The numbers in the outer circles are: 13, 17, 16, 14, 11, 5, 8, 12.
- The numbers in the inner segments are: 7, 4, 1, 7, 5, 8, 9, 7.
- The hint indicates that opposing quadrants give an equation: 9 + 8 = 17.
- This suggests that for each pair of opposite inner segments, their sum equals the number in the corresponding outer circle.
- Verify the pattern:
- Top (7) + Bottom (8) = 15, but the outer circle is 13. This does not match.
- Top-right (4) + Bottom-left (9) = 13, and the outer circle is 13. This matches.
- Right (1) + Left (8) = 9, but the outer circle is 16. This does not match.
- Bottom-right (7) + Top-left (7) = 14, and the outer circle is 14. This matches.
- The hint specifically points to 9 + 8 = 17, which corresponds to the bottom-left (9) and bottom (8) segments, but they are not opposite; they are adjacent.
- Re-examining the hint: "The opposing quadrants give the equation 9 + 8 = 17". The number 17 is in the top-right outer circle.
- The segments directly opposite the top-right segment are the bottom-left segment (9) and the bottom segment (8). But these are not opposite each other; they are adjacent.
- Perhaps "opposing quadrants" means the two segments that are opposite the outer circle labeled 17.
- The outer circle labeled 17 is at the top-right. The segments opposite to it would be the bottom-left segment (9) and the bottom segment (8). Their sum is 9 + 8 = 17, which matches the outer circle.
- Similarly, for the outer circle labeled 13 at the top, the opposite segments are the bottom-left (9) and bottom (8), but 9 + 8 = 17, not 13. This does not match.
- For the outer circle labeled 16 at the right, the opposite segments are the left (8) and top-left (7), sum is 8 + 7 = 15, not 16.
- For the outer circle labeled 14 at the bottom-right, the opposite segments are the top-left (7) and top (7), sum is 7 + 7 = 14, which matches.
- For the outer circle labeled 11 at the bottom, the opposite segments are the top-right (4) and right (1), sum is 4 + 1 = 5, not 11.
- For the outer circle labeled 5 at the bottom-left, the opposite segments are the top-right (4) and top (7), sum is 4 + 7 = 11, not 5.
- For the outer circle labeled 8 at the left, the opposite segments are the right (1) and bottom-right (7), sum is 1 + 7 = 8, which matches.
- For the outer circle labeled 12 at the top-left, the opposite segments are the bottom-right (7) and bottom (8), sum is 7 + 8 = 15, not 12.
- Only some pairs match: 13 (top) with 4+9=13? 4 is top-right, 9 is bottom-left, which are not opposite the top.
- Let's consider the segments as being paired by the diameters.
- Diameter from top to bottom: segments 7 (top) and 8 (bottom), sum 15, outer circle 13 and 11, neither is 15.
- Diameter from top-right to bottom-left: segments 4 (top-right) and 9 (bottom-left), sum 13, outer circle 17 and 5, neither is 13.
- Diameter from right to left: segments 1 (right) and 8 (left), sum 9, outer circle 16 and 8, neither is 9.
- Diameter from bottom-right to top-left: segments 7 (bottom-right) and 7 (top-left), sum 14, outer circle 14 and 12, 14 matches.
- So only one diameter matches.
- The hint says "The opposing quadrants give the equation 9 + 8 = 17". This must be the key.
- 9 is in the bottom-left segment, 8 is in the bottom segment, and 17 is in the top-right outer circle.
- Perhaps the rule is that for each outer circle, the sum of the two inner segments that are not on the same diameter as it equals the outer circle number.
- For outer circle 17 (top-right), the segments not on its diameter (which would be top-right to bottom-left) are the top (7), right (1), bottom (8), left (8), bottom-right (7), top-left (7). This is too many.
- Another idea: perhaps the outer circle number is the sum of the two inner segments that are adjacent to it or something.
- Let's look at the image again. The arrow points from the bottom-left segment (9) and the bottom segment (8) to the outer circle 17, and the text says "The opposing quadrants give the equation 9 + 8 = 17".
- "Opposing quadrants" might mean the two segments that are opposite in position relative to the center, but 9 and 8 are not opposite; they are at 225 degrees and 270 degrees, so 45 degrees apart.
- Perhaps "quadrant" here means a quarter of the circle, and "opposing" means the two quarters that are opposite.
- The circle is divided into 8 segments, so each "quadrant" might consist of two adjacent segments.
- Quadrant 1: top and top-right segments (7 and 4), sum 11.
- Quadrant 2: right and bottom-right segments (1 and 7), sum 8.
- Quadrant 3: bottom and bottom-left segments (8 and 9), sum 17.
- Quadrant 4: left and top-left segments (8 and 7), sum 15.
- Now, opposing quadrants would be 1 and 3, and 2 and 4.
- Sum of quadrant 1 and 3: 11 + 17 = 28, not matching any outer circle.
- Sum of quadrant 2 and 4: 8 + 15 = 23, not matching.
- The hint says 9 + 8 = 17, which is exactly the sum of quadrant 3.
- And 17 is the number in the top-right outer circle.
- Perhaps the outer circle number is the sum of the two segments in the opposite quadrant.
- For outer circle 17 at top-right, the opposite quadrant is bottom-left and bottom, which is quadrant 3, sum 9 + 8 = 17. Matches.
- For outer circle 13 at top, the opposite quadrant is bottom-right and bottom, which is segments 7 and 8, sum 15, but 13 ≠ 15.
- For outer circle 16 at right, the opposite quadrant is left and top-left, segments 8 and 7, sum 15, but 16 ≠ 15.
- For outer circle 14 at bottom-right, the opposite quadrant is top-left and top, segments 7 and 7, sum 14. Matches.
- For outer circle 11 at bottom, the opposite quadrant is top-right and right, segments 4 and 1, sum 5, but 11 ≠ 5.
- For outer circle 5 at bottom-left, the opposite quadrant is top and top-right, segments 7 and 4, sum 11, but 5 ≠ 11.
- For outer circle 8 at left, the opposite quadrant is right and bottom-right, segments 1 and 7, sum 8. Matches.
- For outer circle 12 at top-left, the opposite quadrant is bottom and bottom-right, segments 8 and 7, sum 15, but 12 ≠ 15.
- So three outer circles match: 17, 14, and 8.
- The problem asks for "The Answer", and 17 is highlighted.
- Perhaps the answer is 17, as given in the hint.
- Or perhaps the task is to find which outer circle is correct based on the pattern, and 17 is the example.
- Given the hint and the highlighting, the answer is likely 17.
- So the solution is that the number in the top-right outer circle is 17, which is the sum of the two inner segments in the opposite quadrant (bottom-left and bottom, 9 and 8).
- Therefore, the answer is 17.