STAT Quantitative Reasoning in Context 2

Question 1

A store marks up all items by 40% and then offers a 20% sale discount. What is the net percentage change from the original price?

Accepted Answer

12% increase

Answer

1.4 × 0.8 = 1.12, so the final price is 12% above the original.

Question 2

A survey of 800 students found that 65% prefer online learning. If the margin of error is ±3%, which range most reliably represents the true proportion of the whole student body?

Accepted Answer

62% to 68%

Answer

The margin of error is added and subtracted from the sample proportion: 65% ± 3% = 62% to 68%.

Question 3

A car travels 120 miles in 2 hours, then 90 miles in 1.5 hours. What is the car's average speed for the entire trip?

Accepted Answer

60 mph

Answer

Total distance = 210 miles; total time = 3.5 hours; average speed = 210 ÷ 3.5 = 60 mph.

Question 4

A scientist records bacteria counts of 200, 400, 800, and 1600 over four consecutive hours. Which model best describes this growth?

Accepted Answer

Exponential growth

Answer

The count doubles each hour (multiplied by a constant factor of 2), which is the defining pattern of exponential growth.

Question 5

A recipe requires 3/4 cup of sugar for 12 cookies. How many cups of sugar are needed to make 44 cookies?

Accepted Answer

2¾ cups

Answer

(3/4) ÷ 12 × 44 = 0.0625 × 44 = 2.75 = 2¾ cups.

STAT - Special Tertiary Admissions Test Practice Test

STAT - Special Tertiary Admissions Test Practice Test

STAT Quantitative Reasoning in Context 2