O-Level Additional Mathematics

Question 1

What is the derivative of y = 3x⁴ - 2x² + 5?

Accepted Answer

12x³ - 4x

Answer

12x³ - 4x + 5

Answer

3x³ - 2x

Answer

12x⁴ - 4x²

Question 2

Solve the simultaneous equations: y = x + 1 and x² + y² = 25

Accepted Answer

x = 3, y = 4 and x = -4, y = -3

Answer

x = 3, y = 4 only

Answer

x = 5, y = 0 and x = 0, y = 5

Answer

No real solutions exist

Question 3

What is lg (logarithm base 10) of 1000?

Accepted Answer

3

Answer

2

Answer

4

Answer

10

Question 4

If f(x) = 2x + 3, what is f⁻¹(x), the inverse function?

Accepted Answer

(x - 3)/2

Answer

(x + 3)/2

Answer

2x - 3

Answer

3x + 2

Question 5

What is the integral ∫(4x³ + 6x) dx?

Accepted Answer

x⁴ + 3x² + C

Answer

12x² + 6 + C

Answer

4x⁴ + 6x² + C

Answer

x⁴ + 3x² + 5

Question 6

What is the remainder when f(x) = x³ - 2x² + 3x - 4 is divided by (x - 2)?

Accepted Answer

2

Answer

-2

Answer

0

Answer

6