PAT Mathematical Concepts

Question 1

A Progressive Achievement Tests professional needs to calculate a 15% increase on a base value of 240. What is the result?

Accepted Answer

276

Answer

15% of 240 = 0.15 × 240 = 36. Adding this to the base: 240 + 36 = 276.

Question 2

In Progressive Achievement Tests, if a process has a completion rate of 85% and 340 items were started, how many were completed?

Accepted Answer

289

Answer

85% of 340 = 0.85 × 340 = 289 items completed.

Question 3

A Progressive Achievement Tests report shows values of 42, 38, 45, 51, and 34. What is the mean (average)?

Accepted Answer

42

Answer

Sum = 42 + 38 + 45 + 51 + 34 = 210. Mean = 210 ÷ 5 = 42.

Question 4

If a Progressive Achievement Tests project budget is $50,000 and actual spending is $57,500, what is the percentage over budget?

Accepted Answer

15%

Answer

Over budget amount = $57,500 - $50,000 = $7,500. Percentage = ($7,500 / $50,000) × 100 = 15%.

Question 5

In Progressive Achievement Tests, a ratio of 3:5 is used to divide 480 units. How many units are in the larger portion?

Accepted Answer

300

Answer

Total parts = 3 + 5 = 8. Each part = 480 ÷ 8 = 60. Larger portion = 5 × 60 = 300.

PAT - Progressive Achievement Tests Practice Test