BMST Mathematics 4 — Questions and Answers
Question 1: A storage tank holds 450 gallons when full. If it is currently 2/3 full, how many more gallons are needed to fill it completely?
- 150 gallons (Correct answer)
- 300 gallons
- 225 gallons
- 200 gallons
Correct answer: 150 gallons
2/3 of 450 = 300 gallons already in the tank; 450 − 300 = 150 gallons needed.
Question 2: Which of the following is equivalent to 3.75 × 10²?
- 37.5
- 375 (Correct answer)
- 3750
- 0.0375
Correct answer: 375
Multiplying by 10² moves the decimal two places to the right: 3.75 → 375.
Question 3: Solve for x: 4x − 9 = 2x + 7
- x = 8 (Correct answer)
- x = −1
- x = 16
- x = 1
Correct answer: x = 8
Subtract 2x from both sides: 2x − 9 = 7; add 9: 2x = 16; divide by 2: x = 8.
Question 4: A rectangle has a length of 14 cm and a width of 6 cm. What is its perimeter?
- 40 cm (Correct answer)
- 84 cm
- 20 cm
- 48 cm
Correct answer: 40 cm
Perimeter = 2(l + w) = 2(14 + 6) = 2(20) = 40 cm.
Question 5: If 15% of a number is 45, what is the number?
- 300 (Correct answer)
- 30
- 675
- 600
Correct answer: 300
Let n be the number; 0.15n = 45, so n = 45 ÷ 0.15 = 300.
Question 6: What is the greatest common factor (GCF) of 48 and 72?
- 12
- 6
- 24 (Correct answer)
- 36
Correct answer: 24
Factors of 48 include 24; factors of 72 include 24; the largest shared factor is 24.
Question 7: A car travels 240 miles in 4 hours. At the same speed, how long will it take to travel 360 miles?
- 5 hours
- 6 hours (Correct answer)
- 7 hours
- 8 hours
Correct answer: 6 hours
Speed = 240 ÷ 4 = 60 mph; time = 360 ÷ 60 = 6 hours.
BMST Mathematics 4
A storage tank holds 450 gallons when full.
If it is currently 2/3 full, how many more gallons are needed to fill it completely?