CCTST Numeracy & Quantitative Reasoning

Question 1

A study reports that a new drug reduced hospital readmissions by 50%. If the original readmission rate was 4%, what is the new rate?

Accepted Answer

2%

Answer

A 50% reduction of a 4% rate means the new rate is 4% × 0.50 = 2%.

Question 2

A table shows that 120 out of 600 applicants were hired. What is the hire rate?

Accepted Answer

20%

Answer

120 ÷ 600 = 0.20, which equals 20%.

Question 3

A graph shows test scores rising from 70 to 91 over three years. Which statement best describes the change?

Accepted Answer

Scores increased by 21 points and 30%

Answer

The absolute increase is 21 points; the relative increase is 21/70 = 30%, so both measures are accurate.

Question 4

If 1 in 5 students fails an exam, and the class has 200 students, how many students pass?

Accepted Answer

160

Answer

1 in 5 fail means 40 fail, so 200 − 40 = 160 pass.

Question 5

A bar chart shows Sales Department has 45 employees and HR has 15. The ratio of Sales to HR employees is:

Accepted Answer

3:1

Answer

45:15 simplifies to 3:1 by dividing both values by 15.

(CCTST) California Critical Thinking Skills Test Practice Test