- First, look closely: The image shows three scales with geometric shapes and numbers. The first scale has a yellow diamond and a purple rectangle balancing with the number 8. The second scale has a green octagon, a yellow diamond, and a purple rectangle balancing with the number 15. The third scale has two green octagons on one side and a question mark on the other. I need to find the value of the question mark based on the relationships shown.
- Next, find information: I will assign variables to each shape (D for diamond, R for rectangle, O for octagon) and set up equations based on the scales.
- Then, review the findings: From the first scale: D + R = 8. From the second scale: O + D + R = 15. I can substitute the first equation into the second to find the value of O. Then, I can calculate the value for two octagons.
- First, look closely: Using the equations from the previous step, I can solve for the value of the octagon. Since D + R = 8, substituting into O + D + R = 15 gives O + 8 = 15, so O = 7. The third scale asks for the value of two octagons, which is 2 * O.
- Next, find information: Calculate 2 * 7.
- Then, review the findings: The result is 14. I will now check the answer choices provided in the image to see which one matches.
- First, look closely: The answer choices are A: 7, B: 10, C: 14, D: 24. My calculated value is 14, which corresponds to option C.
- Next, find information: No further research is needed as the calculation is complete and matches an available option.
- Then, review the findings: The solution is correct and corresponds to choice C.
C
Parent Tip: Review the logic above to help your child master the concept of free printable standard iq test.