A-Level H2 Mathematics

Question 1

Find dy/dx if y = 3x⁴ - 5x² + 2x - 7.

Accepted Answer

12x³ - 10x + 2

Answer

12x³ - 5x + 2

Answer

4x³ - 10x + 2

Answer

12x³ - 10x + 7

Question 2

Evaluate ∫(2x + 3) dx

Accepted Answer

x² + 3x + C

Answer

2x² + 3x + C

Answer

x² + 3 + C

Answer

2x + 3x + C

Question 3

What is the sum to infinity of a geometric series with first term 4 and common ratio 1/3?

Accepted Answer

6

Answer

8

Answer

12

Answer

5

Question 4

Solve: e^(2x) = 5

Accepted Answer

x = ln5/2

Answer

x = ln5

Answer

x = 2ln5

Answer

x = ln(5/2)

Question 5

What is the equation of the normal to the curve y = x² at the point (2, 4)?

Accepted Answer

y = -x/4 + 9/2

Answer

y = 4x - 4

Answer

y = 4x - 12

Answer

y = x/4 + 7/2

Question 6

Find the range of values of k for which x² - 6x + k = 0 has no real roots.

Accepted Answer

k > 9

Answer

k < 9

Answer

k = 9

Answer

k ≥ 9