Math Problem Statement
Solution
Let's analyze and solve the two questions from the image:
Question 77:
Problem: Examine (A), (B), and (C) and find the best answer.
- (A) has more circles than (B).
- (B) and (C) have the same number of circles.
- (C) (B) and (C) each have more circles than (A).
- (D) (A) and (C) each have fewer circles than (B).
Solution:
- (A) has 11 circles.
- (B) has 16 circles.
- (C) has 14 circles.
From the options:
- Option A: Incorrect, (A) has fewer circles than (B).
- Option B: Incorrect, (B) and (C) do not have the same number of circles.
- Option C: Correct, both (B) and (C) have more circles than (A).
- Option D: Incorrect, (A) has fewer circles, but (C) has more than (B).
Answer: C
Question 78:
Problem: Examine (A), (B), and (C) and find the best answer.
- (A) (C) is more shaded than (B).
- (B) (A) and (C) are equally shaded, and both are more shaded than (B).
- (C) (B) is more shaded than (A) and less shaded than (C).
- (D) (A), (B), and (C) are equally shaded.
Solution:
- (A) has 3 out of 6 parts shaded.
- (B) has 4 out of 6 parts shaded.
- (C) has 3 out of 6 parts shaded.
From the options:
- Option A: Incorrect, (C) and (A) are equally shaded, (B) is more shaded.
- Option B: Correct, (A) and (C) are equally shaded.
- Option C: Incorrect, (B) is more shaded than (A) and (C).
- Option D: Incorrect, (A) and (C) are equally shaded, but (B) is more shaded.
Answer: B
Would you like any more details or have any questions? Here are some related problems to think about:
- How many circles would (C) have if it had the same number as (B)?
- If (A) had one more circle, how would that affect the comparison?
- What if (B) had fewer shaded parts than (A) and (C), what would the correct answer be then?
- How would your answer change if (A) had an additional shaded region?
- What would be the effect on question 77 if (B) had fewer circles than (A)?
- What is the ratio of shaded parts to unshaded parts in (B)?
- If (C) had two more shaded parts, what would be the correct answer for question 78?
- How would you compare the shading if each shape had 8 parts instead of 6?
Tip: Always carefully count elements and compare them step by step for each option to ensure accuracy when answering visual or pattern recognition questions.
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Math Problem Analysis
Mathematical Concepts
Geometry
Visual Pattern Recognition
Formulas
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Theorems
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Suitable Grade Level
Grades 7-9