A-Level Mathematics

Question 1

In the Singapore GCE A-Level H2 Mathematics syllabus, what is the derivative of ln(3x + 1)?

Accepted Answer

3/(3x + 1)

Answer

1/(3x + 1)

Answer

3x/(3x + 1)

Answer

1/(x + 1)

Question 2

What is the sum of the first 10 terms of the arithmetic series 3, 7, 11, 15, ...?

Accepted Answer

210

Answer

200

Answer

220

Answer

230

Question 3

If P(A) = 0.4, P(B) = 0.5, and P(A ∩ B) = 0.2, are events A and B independent?

Accepted Answer

Yes, because P(A ∩ B) = P(A) × P(B)

Answer

No, because P(A ∩ B) ≠ P(A) × P(B)

Answer

Yes, because P(A) + P(B) = 0.9

Answer

Cannot be determined from the given information

Question 4

What is the integral of sin²(x) dx?

Accepted Answer

x/2 - sin(2x)/4 + C

Answer

x/2 + sin(2x)/4 + C

Answer

-cos²(x)/2 + C

Answer

sin(2x)/2 + C

Question 5

A vector a = 2i + 3j - k. What is the magnitude of vector a?

Accepted Answer

√14

Answer

√12

Answer

√10

Answer

√16

Question 6

In the Singapore A-Level syllabus, what does the Maclaurin series expansion represent?

Accepted Answer

A Taylor series centred at x = 0

Answer

A Taylor series centred at x = 1

Answer

An infinite geometric series

Answer

A Fourier series