School-Safe Puzzle Games

## Purple star progression

What number should appear inside the last purple star?

For a similar puzzle, try "Deduce the Pattern".

### 26 Comments to “Purple star progression”

1. Joe | Guest

The middle number is the average.
(3+9+2+13+8)/5=7
(21+6+13+3+9+8)/6=10
(2+16+3+9+1+8+3)/7=6

First star numbers totalled 35 divided by 5 triangles = 7
Second star numbers totalled 60 divided by 6 triangles = 10
Third star numbers totalled 42 divided by 7 triangles = 6

Next # should be 6

3. JasonF | Guest

6

4. Lykos Protogonos | Guest

The number in the last figure should be 6.

First, add up the total of the numbers of all the purple triangles for that figure. Then, divide this number by the number of sides on the inside figure.

Figure 1: 2 + 3 + 8 + 9 + 13 / 5 = 35/5 = 7

Figure 2: 3 + 6 + 8 + 9 + 13 + 21 / 6 = 60/6 = 10

Figure 3: 1 + 2 + 3 + 3 +8 + 9 + 16 / 7 = 42/7 = 6

5. Brian | Guest

It’s six.

Le formula:
(added value of the purple triangles) / (# of purple triangles) = center #

6. Daniel | Guest

6

(sum of numbers in purple divided by number of sides of regular polygon in the middle)

7. Phil | Guest

I thnk the answer is 6.

The total of the numbers in the 5-point star is 35. Number of points times 7 = 35.

The total of the numbers in the 6-point star is 60. Number of points times 10 = 60.

The total of the numbers in the 7-pointer is 42. 7 times ? = 42, therefore ? = 6.

8. Emilie | Guest

Answer is 6. You get the middle number by adding the numbers on each leg of the star then dividing it by the number of legs.

E.g. First star – 3+9+2+13+8 = 35, 35/5legs = 7
Second star – 21+6+13+3+9+8 = 60, 60/6 legs = 10

so on and so forth.. =)

9. John Lewis Highsmith | Guest

Sum the values in the triangles. Divide by the number of triangles.

10. jason | Guest

add the numbers and divide by the amount of sides….6

11. farshid | Guest

number is 7

12. rosey | Guest

HA! This was a hard one! The answer is 6.

Here’s how it’s done: you have a 5, a 6 and a 7 pointed figure. If you add the numbers in the points on the first figure and divide by 5, you get 7. In the second figure add the numbers and divide by 6 to get 10. So in the third figure you add all the numbers and divide by 7 to get 6.

13. azri | Guest

6

14. Shawn | Guest

6

Add up all of the purple numbers, then divide by the number of points on the star to find the number that should be in the middle.
35/5 = 7
60/6 = 10
42/7 = 6

15. robert L | Guest

OK, this might be a stretch but if you multiply the middle number by the number of sides that the inside shape has, it = the sum of the numbers around the outside. on the first one 5 inner sides times 7 (inner number) = 35 (outer number sum). Same for middle 10 (inner number times 6(inner sides) = 60 (outer number sum). So the last one = 6 because 7 (inner sides) times 6 (inner number) = 42 (outer number sides). I laugh at myself sometimes but that is the only logical thing and i think this is the answer.

16. robert L | Guest

by the way I just got a chance to look at this puzzle like 10 minutes ago.

17. Ian | Guest

I got 6

18. Mark W | Guest

6

It’s the sum of the surrounding numbers, divided by the number of points on the star.

19. RK | Profile

This one was kind of tough, but many still got the right answer: 6

20. manjubz | Guest

this question is to easy..^^

21. mgnge | Profile

yeah ,it is 6