10 questions · Form 2 Mathematics Bab 3: Algebraic Formulae
A car travels d kilometers in t hours at a speed of s km/h. What is the formula for t?
Prefer reading to quizzing? All 10 questions are listed below with the answer and explanation under each one.
1. A car travels d kilometers in t hours at a speed of s km/h. What is the formula for t?
Answer: B
Speed = Distance / Time (s = dt) => t = ds.
2. Make b the subject of the formula a = √(b3).
Answer: A
Square both sides: a² = b3 => b = 3a².
3. If V = 43 πr³, find V when r = 3 cm. (Take π = 227)
Answer: C
V = 43 × 227 × 3³ = 43 × 227 × 27 = 36 × 227 = 7927 = 113 17.
4. Make m the subject of the formula y = mx + c.
Answer: A
y - c = mx => m = y - cx.
5. Given 3p + 2q = 12, express q in terms of p.
Answer: A
2q = 12 - 3p => q = 12 - 3p2.
6. If P = 2(l + w), find P when l = 8 and w = 5.
Answer: C
P = 2(8 + 5) = 2(13) = 26.
7. Change the subject of the formula A = πr² to r.
Answer: A
r² = Aπ => r = √(Aπ).
8. If E = mc², calculate m when E = 9 × 10¹⁶ and c = 3 × 10⁸.
Answer: A
c² = (3 × 10⁸)² = 9 × 10¹⁶. m = Ec² = 9 × 10¹⁶9 × 10¹⁶ = 1 kg.
9. Express x as the subject of the formula y = √(2x - 1).
Answer: A
y² = 2x - 1 => 2x = y² + 1 => x = y² + 12.
10. Given y = 3x² - 4, calculate the value of y when x = -2.
Answer: B
y = 3(-2)² - 4 = 3(4) - 4 = 12 - 4 = 8.