School-Safe Puzzle Games

## OrangeTriangles: Math pattern problem

What number should replace the question mark?

Feel free to enter your answer in the comment section below; will unmask submission by Wednesday, thanks!

### 30 Comments to “OrangeTriangles: Math pattern problem”

1. marioberges | Profile

Every triangle has three numbers besides the center one. I will call them x, y, z for (top, left and right) and c for the center one.

The formula is:

c = x * z + y * z

For example, in the first triangle:

36 = 4 * 3 + 8 *3

In the last triangle, we need to solve for y, so we have:

30 = 6 * 3 + y * 3

y = (30 – 6 * 3) / 3

y = 4

2. Obiwan | Profile

Question mark is 4.
o Red circle is sum of left lower and upper numbers in each triangle multiplied by right lower number.
o 1st triangle: 3×4 + 3×8 = 36
o 2nd triangle: 4×8 + 4×5 = 52
o 3rd triangle: 30 – (3×6)/3 =12. Missing number is 12/3 = 4.

3. Obiwan | Profile

Oops–left out brackets!
[30-(3×6]/3 = 4

4. goofymushu | Profile

i think its 4

5. Reka | Profile

It’s a four!

6. kitchen | Profile

4 (30 = 3*(4+6))

7. Falwan | Profile

pattern :

(8+4)(3) = 36

(5+8)(4) = 52

(6+?)(3) = 30 —-> ?=4

8. bigbossSNK | Profile

I can find two algorithms, with the same outcome:
1. Multiply the bottom right number with the other two, sum the products and you get the middle number. Solution: 4
Or
2. Multiply the smallest number among the corner numbers with the other two, sum the products and you get the middle number. Solution (a little harder): 4.

9. joe | Profile

The question mark should be a 4.

In each of the former triangles the centre circle is the result of adding the top number and the lower left number and multiplying the sun by the lower right number.
In the first two:
(8 + 4) x 3 = 36
(5 + 8) x 4 = 52
So in the third triangle
( 6 + ? ) x 3 = 30
? = 10

10. joe | Profile

Sorry that should be ? = 4 of course

11. hex | PUZZLE MASTER | Profile

4
(8+4)x3=36
(5+8)x4=52
(6+4)x3=30

12. Mashplum | PUZZLE MASTER | Profile

4

(top + left) * right = center

13. suineg | PUZZLE MASTER | Profile

cool I think one answer could be this:
first triangle: (8+4)*3= 36
second triangle: (5+8)*4= 52
third triangle: (6+4)*3= 30

14. Shawn | PUZZLE GRANDMASTER | Profile

4

15. moyes | Profile

6×3= 18, 3×4= 12, 18+12 =30
_______________________
Triangel 1:
8×3=24, 3×4= 12, 24+12=36
____________________
Triangel 2:
8×4=32, 4×5= 20, 32+20= 52

16. nattlebattle | Profile

4!

(Top + Bottom Left) * (Bottom Right) = Middle
(8 + 4) * (3) = 36
(5 + 8) * (4) = 52
(6 + 4) * (3) = 30

17. Jimmy Anders | PUZZLE MASTER | Profile

If the pattern is that the middle number (red) is the sum of the two numbers on the left multiplied by the third number, then the answer is 4.

[6 + 4] * 3 = 30

18. Hercules | Profile

36 divide by 3 is 12…8 and 4 are 12
52 divided by 4 is 13…5 and 8 are 13
30 divided by 3 is 10…6 and ‘4’ are 10

19. Oneiric | Profile

I’d say 4.

Let’s call the top number T, the bottom left number BL, the bottom right number BR and the center number C.

C = T * BR + BL * BR

Figure 1: 36 = 8 * 3 + 4 * 3 (24 + 12)
Figure 2: 52 = 5 * 4 + 8 * 4 (20 + 32)

Figure 3: 30 = 6 * 3 + BL * 3
30 = 18 + BL * 3
Previous minus 18: 12 = BL * 3
Previous divided by 3: 4 = BL

20. Shofnite | Profile

(8+4) * 3 = 36
(5+8) * 4 = 52
(6+x) * 3 = 30

x = 4

21. Blusummers13 | Profile

8*3+4*3=36
5*4+8*4=52
6*3+x*3=30 x=4

22. RK | Founder | Profile

very good- 4 is the answer

23. 10dulkar | Profile

Oh did anyone mention 4 yet? LOL