Mathematics AI: RADIAN Topical Past Paper Questions

## [Maximum mark: 6] [6] A child's game is played by making paths in the snow. First, two circular paths are made using the same centre, O. The radius of the smaller circle is 2.8 m, and the radius of the larger circle is 4 m. Additional paths are then made from O to the outer ed…

[Maximum mark:6] A sheep is in a field in the shape of a triangle, ABC. AC = 21 metres, AB = 15 metres and $ \hat{C}\hat{A}\hat{B} = 78^{\circ} $. A goat is in an adjacent field in the shape of a sector of a circle with centre, A, and radius 8 metres. The fields are shown in the…

[Maximum mark: 17] The following diagram shows a park bounded by a fence in the shape of a quadrilateral ABCD. A straight path crosses through the park from B to D. $$ AB=85m,AD=85m,BC=40m,\hat{CBD}=41^{\circ},B\hat{CD}=120^{\circ} $$ diagram not to scale (a) (i) Write down the v…