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IB Mathematics: Applications and Interpretation HL · 12.10: Geometry & Trigonometry · 12.10.16

Geometry and trigonometry: exam review Exam review Answers

Section A: short questions

    1. (a) 19.0°
    2. (b) 3.92 m
    3. (c) 81.9°
    1. (a) 8.86 m
    2. (b) 67.4°
    3. (c) 30.3 m²
    1. (a) 102 cm
    2. (b) 23.0°
    1. (a) 80.2°; \(\frac{5\pi}{6}\)
    2. (b) 9.10 cm
    3. (c) 29.6 cm²
    1. (a) 11.9 cm
    2. (b) 13.8 cm²
    1. (a) 5.94; 5.94 < 7.5 < 11.2
    2. (b) 52.3° or 128°
    1. (a) 16.0°
    2. (b) 69.0 m
    3. (c) 46.9 m
    1. (a) 47.8°
    2. (b) 8.94 m
    3. (c) 9.83 m
    1. (a) \(-\frac{12}{13}\)
    2. (b) \(-\frac{5}{12}\)
    3. (c) 157°

Section B: long questions

    1. (a) 115 m²
    2. (b) 6 m and 10 m
    3. (c) 870 m²
    4. (d) 182 m²
    1. (a) DE = 13.2 m, angle EAB = 48.6°
    2. (b) 269 m²
    3. (c) 71.7%
    4. (d) r = 15.5
    1. (a) 92.0°
    2. (b) 16.9 km
    3. (c) 32.1°
    4. (d) 264°
    5. (e) 320°
    1. (a) 17.0 m
    2. (b) 11.1 m
    3. (c) 52.7°
    4. (d) 61.7°
    5. (e) 535 m³
    6. (f) 304 m²
    1. (a) 6.5 m and 2.5 m
    2. (b) 12.6 hours
    3. (c) t = 0.505 and t = 5.78
    4. (d) 5.27 hours
    1. (a) 314 cm³; 0.314 litres
    2. (b) 3 cm
    3. (c) 67.9 cm³; 21.6%
    4. (d) 1.35 cm
    5. (e) 3.19 cm

jmaths.xyz · AI HL · 12.10.16 Unit review