PI - Cognitive Assessment Cognitive Assessment Value Comparison Problems 1

Question 1

Compare: 7/9 ___ 3/4

Accepted Answer

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Answer

Convert both to a common denominator of 36: 7/9 = 28/36 and 3/4 = 27/36. Since 28 > 27, we have 7/9 > 3/4.

Question 2

Which is greater: √80 or 9?

Accepted Answer

9

Answer

√80 ≈ 8.944, which is less than 9. Since 9² = 81 > 80, it follows that 9 > √80.

Question 3

Compare: 0.875 ___ 7/8

Accepted Answer

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Answer

7 ÷ 8 = 0.875 exactly, so 0.875 = 7/8. Both expressions represent the same value.

Question 4

Which is larger: 3² × 4 or 3 × 4²?

Accepted Answer

3 × 4²

Answer

3² × 4 = 9 × 4 = 36, while 3 × 4² = 3 × 16 = 48. Since 48 > 36, the expression 3 × 4² is larger.

Question 5

Compare: 5/6 ___ 7/8

Accepted Answer

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Answer

Converting to a common denominator of 24: 5/6 = 20/24 and 7/8 = 21/24. Since 20 < 21, we have 5/6 < 7/8.

PI - Cognitive Assessment Practice Test