Mathematical Studies: Geometry and Trigonometry Topical Past Paper Questions
IB Diploma Programme Mathematical Studies past-paper questions on Geometry and Trigonometry, free. This topic is frequently examined across 8 exam sessions. Sign in for the full topic-segregated question bank and AI worksheets.
Sample questions
A large underground tank is constructed at Mills Airport to store fuel. The tank is in the shape of an isosceles trapezoidal prism, ABCDEFGH. AB = 70 m, AF = 200 m, AD = 40 m, BC = 40 m and CD = 110 m. Angle ADC = $ 60^{\circ} $ and angle BCD = $ 60^{\circ} $. The tank is illustr…
[Maximum mark:15] Haraya owns two triangular plots of land, ABC and ACD. The length of AB is 30m, BC is 50m and AC is 70m. The size of D $ \hat{A} $C is $ 55^{\circ} $ and $ \hat{A} $DC is $ 72^{\circ} $. The following diagram shows this information. diagram not to scale The quic…
The diagram shows a triangle defined by the points A(3, 9), B(15, 6) and C(5, 3). diagram not to scale (a) Calculate the gradient of the line AC. [2] (b) Determine, giving a reason, whether angle $ \text{A}\text{CB} $ is a right angle. [2] The straight line, $L$, is parallel to B…
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