PI - Cognitive Assessment Value Comparison Problems 3

Question 1

Compare: 7/12 ___ 11/18

Accepted Answer

7/12 < 11/18

Answer

Common denominator 36: 7/12 = 21/36, 11/18 = 22/36. Since 21 < 22, 7/12 < 11/18.

Question 2

Which is greater: 15% of 200 or 20% of 140?

Accepted Answer

15% of 200

Answer

15% of 200 = 30. 20% of 140 = 28. 30 > 28.

Question 3

Compare: (-3)² ___ -(3²)

Accepted Answer

(-3)² is larger

Answer

(-3)² = (-3) × (-3) = 9. -(3²) = -(9) = -9. Since 9 > -9, (-3)² is larger.

Question 4

Which is larger: the perimeter of a square with side 8 or the circumference of a circle with radius 5 (use π ≈ 3.14)?

Accepted Answer

Square's perimeter

Answer

Square perimeter = 4 × 8 = 32. Circle circumference = 2 × 3.14 × 5 = 31.4. 32 > 31.4.

Question 5

Compare: 2/3 + 1/4 ___ 3/4 + 1/6

Accepted Answer

They are equal

Answer

Left: 2/3 + 1/4 = 8/12 + 3/12 = 11/12. Right: 3/4 + 1/6 = 9/12 + 2/12 = 11/12. They are equal.

PI - Cognitive Assessment Practice Test