BPP Mathematics 3 — Questions and Answers
Question 1: What is the greatest common factor (GCF) of 36 and 48?
- 6
- 9
- 12 (Correct answer)
- 18
Correct answer: 12
The GCF of 36 and 48 is 12, since 36 = 12 × 3 and 48 = 12 × 4.
Question 2: If f(x) = 3x² - 2x + 1, what is f(-2)?
- 9
- 13
- 17 (Correct answer)
- 21
Correct answer: 17
f(-2) = 3(4) - 2(-2) + 1 = 12 + 4 + 1 = 17.
Question 3: Which expression is equal to (x + 4)(x - 3)?
- x² + 7x - 12
- x² - x - 12
- x² + x - 12 (Correct answer)
- x² - 7x + 12
Correct answer: x² + x - 12
Using FOIL: x² - 3x + 4x - 12 = x² + x - 12.
Question 4: Convert 0.375 to a fraction in simplest form.
- 3/8 (Correct answer)
- 1/3
- 3/7
- 5/12
Correct answer: 3/8
0.375 = 375/1000 = 3/8 after dividing numerator and denominator by 125.
Question 5: What is the area of a triangle with base 14 cm and height 9 cm?
- 63 cm² (Correct answer)
- 126 cm²
- 46 cm²
- 72 cm²
Correct answer: 63 cm²
Area = ½ × base × height = ½ × 14 × 9 = 63 cm².
Question 6: Solve the inequality: 3x - 7 > 8
- x > 1
- x > 3
- x > 5 (Correct answer)
- x > 15
Correct answer: x > 5
3x > 15 → x > 5.
Question 7: A train travels 240 miles in 4 hours. At the same speed, how far will it travel in 7 hours?
- 360 miles
- 400 miles
- 420 miles (Correct answer)
- 480 miles
Correct answer: 420 miles
Speed = 240/4 = 60 mph; distance in 7 hours = 60 × 7 = 420 miles.
What is the greatest common factor (GCF) of 36 and 48?