A-Level Mathematics Core 2

Question 1

What is the value of ∫₀² (3x² - 2x) dx?

Accepted Answer

4

Answer

6

Answer

2

Answer

8

Question 2

The binomial expansion of (1 + 2x)⁵ has a term in x³. What is its coefficient?

Accepted Answer

80

Answer

40

Answer

160

Answer

10

Question 3

A circle has equation x² + y² - 6x + 4y - 12 = 0. What is its radius?

Accepted Answer

5

Answer

√12

Answer

25

Answer

7

Question 4

What is the exact value of sin(π/3)?

Accepted Answer

√3/2

Answer

1/2

Answer

√2/2

Answer

1/√3

Question 5

The vector a = 3i + 4j. What is the unit vector in the direction of a?

Accepted Answer

(3i + 4j)/5

Answer

(3i + 4j)/7

Answer

(3i + 4j)/√7

Answer

3i/5 + 4j/3

Question 6

Solve 2sin(x) - 1 = 0 for 0 ≤ x ≤ 2π. How many solutions are there?

Accepted Answer

2

Answer

1

Answer

3

Answer

4