A-Level Mathematics 2

Question 1

What is the equation of the normal to the curve y = x³ - 2x at the point (1, -1)?

Accepted Answer

y = x - 2

Answer

y = -x

Answer

y = -x/1 + 0

Answer

y = -x + 0

Question 2

If z = 2 + 3i is a complex number, what is |z²|?

Accepted Answer

13

Answer

√13

Answer

26

Answer

169

Question 3

In hypothesis testing for the Singapore A-Level, what does a p-value less than the significance level indicate?

Accepted Answer

Reject the null hypothesis in favour of the alternative hypothesis

Answer

Accept the null hypothesis

Answer

The test is inconclusive

Answer

The sample size is too small

Question 4

What is the general solution of the differential equation dy/dx = ky, where k is a constant?

Accepted Answer

y = Ae^(kx)

Answer

y = kx + C

Answer

y = k/x + C

Answer

y = sin(kx) + C

Question 5

For the binomial distribution X ~ B(20, 0.3), what is the expected value E(X)?

Accepted Answer

6

Answer

3

Answer

9

Answer

14

Question 6

What is the area enclosed between the curve y = x² and the line y = 4?

Accepted Answer

32/3

Answer

16/3

Answer

8/3

Answer

64/3