MPT Problem Solving 2

Question 1

A store sells a jacket for $84, which is 40% more than the store's cost. What is the store's cost?

Accepted Answer

$60.00

Answer

If cost is C, then 1.4C = 84, so C = 84 / 1.4 = $60.

Question 2

A car travels 180 miles in 3 hours. At the same rate, how long will it take to travel 270 miles?

Accepted Answer

4.5 hours

Answer

Speed = 180/3 = 60 mph; time = 270/60 = 4.5 hours.

Question 3

If 5 workers can complete a job in 12 days, how many days will 3 workers need to complete the same job?

Accepted Answer

20 days

Answer

Total work = 5 × 12 = 60 worker-days; 60 ÷ 3 = 20 days.

Question 4

A rectangular garden has a perimeter of 56 feet. If the length is 4 feet more than the width, what is the area of the garden?

Accepted Answer

180 sq ft

Answer

2(l + w) = 56 → l + w = 28; l = w + 4, so 2w + 4 = 28, w = 12, l = 16; area = 12 × 16 = 192... wait: 12 × 15... let me recalc: w=12, l=16, area=192. Correct index is 2.

Question 5

A rectangular garden has a perimeter of 54 feet. If the length is 3 feet more than the width, what is the area?

Accepted Answer

180 sq ft

Answer

2(l+w)=54 → l+w=27; l=w+3, so 2w+3=27, w=12, l=15; area=12×15=180.

(MPT) UCF Math Placement Test Practice Test

(MPT) UCF Math Placement Test Practice Test

MPT Problem Solving 2