FAST Mathematical: Ratios and Proportional Relationships 2 — Questions and Answers
Question 1: A swimming pool is being filled at a rate of 200 gallons per hour. How many gallons will be in the pool after 4.5 hours?
- 800 gallons
- 850 gallons
- 900 gallons (Correct answer)
- 950 gallons
Correct answer: 900 gallons
200 gallons/hour × 4.5 hours = 900 gallons.
Question 2: A worker earns $15 per hour. Which equation represents total earnings (e) based on hours worked (h)?
- e = 15 + h
- e = 15h (Correct answer)
- e = h divided by 15
- e = 15h + 10
Correct answer: e = 15h
Total earnings equal the hourly rate multiplied by hours worked, so e = 15h.
Question 3: Maria runs 6 miles in 48 minutes. At this rate, how long will it take her to run 9 miles?
- 64 minutes
- 68 minutes
- 72 minutes (Correct answer)
- 76 minutes
Correct answer: 72 minutes
The rate is 48 ÷ 6 = 8 minutes per mile; 9 miles × 8 min/mile = 72 minutes.
Question 4: A store sells orange juice in two sizes: 16 oz for $2.40 and 24 oz for $3.36. Which size is the better buy?
- 16 oz bottle
- 24 oz bottle (Correct answer)
- Both are equal value
- Cannot be determined
Correct answer: 24 oz bottle
16 oz costs $0.15/oz while 24 oz costs $0.14/oz, making the 24 oz a better buy.
Question 5: A scale drawing has a scale of 1 cm to 50 cm. If a room measures 6 cm on the drawing, what is the actual length?
- 250 cm
- 280 cm
- 300 cm (Correct answer)
- 350 cm
Correct answer: 300 cm
6 cm × 50 = 300 cm is the actual length.
Question 6: If 15% of a number is 45, what is the number?
- 250
- 275
- 300 (Correct answer)
- 325
Correct answer: 300
Solving 0.15 × n = 45 gives n = 45 ÷ 0.15 = 300.
Question 7: A recipe for 12 cookies requires 3/4 cup of butter. How much butter is needed for 20 cookies?
- 1 cup
- 1 and 1/4 cups (Correct answer)
- 1 and 1/2 cups
- 1 and 3/4 cups
Correct answer: 1 and 1/4 cups
(3/4 ÷ 12) × 20 = 1/16 × 20 = 20/16 = 1 and 1/4 cups.
FAST Mathematical: Ratios and Proportional Relationships 2
A swimming pool is being filled at a rate of 200 gallons per hour.
How many gallons will be in the pool after 4.5 hours?