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Non-verbal Reasoning · Question 65 of 65

The figure is a triangle with all three of its medians drawn.

Question 65

HardOriginal question

The figure is a triangle with all three of its medians drawn. How many triangles are there in it?

The figure is a triangle with its three medians, each joining a vertex to the midpoint of the opposite side.
Options for question 65

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. Count by size, starting with the smallest pieces.

  2. Smallest triangles: 6. Triangles made of 2 smallest pieces: 3. Triangles made of 3 smallest pieces: 6. Triangles made of 6 smallest pieces: 1.

  3. Total =6+3+6+1=16= 6 + 3 + 6 + 1 = 16.

Worth noting

Counting only the smallest pieces is the usual slip. Go size by size, and for each size check every position in the figure.

Concept
Counting triangles systematically by size
Typical time
110 s
Your time
—
The rule this testsCounting figures
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Ten questions from Non-verbal Reasoning, at your own pace.

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Ten questions from Non-verbal Reasoning, at your own pace.

Practise this chapterAll 65 questions in Non-verbal ReasoningRevise the notes for Non-verbal Reasoning