PAQ = BAC and AQP = ABC. AB = 4 cm, BC = 3.6 cm, AQ = 3 cm.

(a)(i) Complete: ACB is … to APQ. [1]

(a)(ii) Find PQ. [2]

(a)(iii) ACB has area 5.6 cm². Find APQ area. [2]

HT is a diameter and MN is tangent at T. RTM = 61°.

(b)(i) Find RTH. [1]

(b)(ii) Find RHT. [1]

(b)(iii) Find RST. [1]

(b)(iv) Find RUT. [1]

Each successive interior angle of hexagon ABCDEF is 4° greater than the preceding angle.

(c)(i) How much greater is angle F than angle A? [1]

(c)(ii) Find angle A. [3]