Further Links Contact Us Search Help

Syllabus | Exams | Teachers | Students | News | Communications

Mathematics

Home > Mathematics > General Mathematics > HSC Course > Measurement > M5: Further applications of area and volume > Quick quiz: A sample of multiple choice questions for this topic.

M5

1. The area of this sector is:
    
   
    
   • 201.06 cm²
   • 33.51 cm²
   • 50.27 cm²
   answer
   
    
2. The shaded area shows an annulus with an inside circle of radius 3 cm and an outside circle of radius 7cm.
    
   The area of the annulus is:
    
   
    
   • 125.66 cm²
   • 12.57 cm²
   • 25.13 cm²
   answer
   
    
3. Calculate the area of this half-ellipse (correct to 2 decimal places).
    
   
    
   • 62.83 cm²
   • 31.42 cm²
   • 15.71 cm²
   answer
   
    
4. Calculate the shaded area.
    
   
    
   • 70 cm²
   • 150 cm²
   • 110 cm²
   answer
   
    
5. Use Simpson's Rule to estimate the area of this figure.
    
   
    
   • 101.3 m²
   • 49.3 m²
   • 304 m²
   answer
   
    
6. Calculate the surface area of this closed cylinder.
    
   
    
   • 678.58 cm²
   • 791.68 cm²
   • 2035.75 cm²
   answer
   
    
7. The surface area of a cylinder, open at one end, with a diameter of 12 cm is 1281.8 cm².
    
   What is its height?
    
   • Approximately 28 cm
   • Approximately 34 cm
   • Approximately 31 cm
   answer
   
    
8. Calculate the surface area of a sphere with radius 3.6 cm correct to 2 dp.
    
   • 162.86 cm²
   • 45.24 cm²
   • 651.44 cm²
   answer
   
    
9. Find the volume of this pyramid.
    
   
    
   • 102.65 cm³
   • 616 cm³
   • 205.3 cm³
   answer
   
    
10. The volume of a cube is 75 cm3. Find the length of its side, correct to 1 dp.
     
    • 87 cm
    • 4.2 cm
    • 25.0 cm
    answer
    
     

---

Answers

1. 33.51 cm²
    
2. 125.66 cm²
    
3. 15.71 cm²
    
4. 110 cm²
    
5. 101.3 m²
    
6. 791.68 cm²
    
7. Approximately 31 cm
    
8. 162.86 cm²
    
9. 205.3 cm³
    
10. 4.2 cm