BSEP Ratios and Proportions 4 — Questions and Answers
Question 1: A runner completes 5 laps in 8 minutes. At this rate, how many laps can she complete in 24 minutes?
- 12 laps
- 15 laps (Correct answer)
- 18 laps
- 20 laps
Correct answer: 15 laps
5/8 = x/24, so x = (5 × 24) / 8 = 15 laps.
Question 2: A recipe makes 48 cookies using 3 cups of sugar. How many cups of sugar are needed to make 80 cookies?
- 4 cups
- 5 cups (Correct answer)
- 6 cups
- 4.5 cups
Correct answer: 5 cups
3/48 = x/80 gives x = (3 × 80) / 48 = 5 cups.
Question 3: A gear with 24 teeth turns 3 times for every 2 turns of a gear with 36 teeth. If the larger gear turns 10 times, how many times does the smaller gear turn?
- 12 times
- 15 times (Correct answer)
- 18 times
- 20 times
Correct answer: 15 times
The ratio is 3:2, so 3/2 = x/10 gives x = 15 turns.
Question 4: On a scale drawing, 2 cm represents 5 meters. If a wall is 17.5 meters long, how long is it on the drawing?
- 5 cm
- 6 cm
- 7 cm (Correct answer)
- 8 cm
Correct answer: 7 cm
2/5 = x/17.5 gives x = (2 × 17.5) / 5 = 7 cm.
Question 5: If the ratio of wins to losses for a team is 7:3, and they played 60 games, how many games did they win?
- 35 games
- 40 games
- 42 games (Correct answer)
- 45 games
Correct answer: 42 games
Wins are 7/10 of total games: (7/10) × 60 = 42.
Question 6: Two quantities are in proportion if they change at the same rate. Which pair of values is NOT proportional to 4:10?
- 2:5
- 6:15
- 8:20
- 10:22 (Correct answer)
Correct answer: 10:22
4:10 = 2:5; 10:22 simplifies to 5:11, which is not equal to 2:5.
Question 7: A car uses 2 gallons of gas for every 54 miles driven. How many gallons are needed for a 270-mile trip?
- 8 gallons
- 9 gallons
- 10 gallons (Correct answer)
- 12 gallons
Correct answer: 10 gallons
2/54 = x/270 gives x = (2 × 270) / 54 = 10 gallons.
BSEP Ratios and Proportions 4
A runner completes 5 laps in 8 minutes.
At this rate, how many laps can she complete in 24 minutes?