Mathematics for IGCSE & O level - Mensuration (Section 14)

  • 1
    The formula to calculate the area of a triangle using the sine rule is...?
    Antwort
    (A)
    0.5*a*b*sinC
  • 2
    The volume of a cylinder is 400cm³. Its radius is 5.5cm. Calculate its height.
    Antwort
    (A)
    4.2 cm
  • 3
    Which of the following equations can be used to find the area of a rectangle?
    Antwort
    (A)
    Area = length x width
  • 4
    A circular pizza has a diameter of 30cm. What is its approximate area? (Use π ≈ 3.14)
    Antwort
    (A)
    706.5 cm²
  • 5
    What is the formula to calculate the volume of the cone?
    Antwort
    (B)
    1/3πr²h
  • 6
    If the radius of a sphere is increased by a factor of 3, by what factor does the volume increase?
    Antwort
    (D)
    27
  • 7
    A rectangular pond has 4m by 8m. Find the area.
    Antwort
    (C)
    32 m²
  • 8
    What do you need to know to calculate the area of a square?
    Antwort
    (A)
    The length of a side
  • 9
    What is the formula for calculating the circumference of a circle, given its radius (r)?
    Antwort
    (B)
    C = 2πr
  • 10
    What is the surface area of a sphere with radius r?
    Antwort
    (A)
    4πr²
  • 11
    What is the area of a rectangle with length 9cm and width 4cm?
    Antwort
    (B)
    36 cm²
  • 12
    A room's area is 120 square feet. If the length is 12 feet, what is the width?
    Antwort
    (A)
    10 ft
  • 13
    What is the area of a circle with radius 'r'?
    Antwort
    (A)
    πr²
  • 14
    What are the steps to follow when approaching a complex mensuration problem?
    Antwort
    (A)
    Read the question, draw a diagram, identify the known values, and apply formulas.
  • 15
    A can of paint covers 10m². How many cans are needed to paint a wall that is 5m high and 8m wide?
    Antwort
    (B)
    4 cans
  • 16
    If the cross-sectional area of a prism is 15 cm² and its length is 7 cm, what is its volume?
    Antwort
    (B)
    105 cm³
  • 17
    Which shapes can be divided into two congruent triangles to find the area?
    Antwort
    C
    D
  • 18
    How is the height of the cone measured?
    Antwort
    (A)
    The distance between the tip of the cone and the center of its base.
  • 19
    What type of shape is the base of a cone?
    Antwort
    (A)
    Circle
  • 20
    What is the relationship between the radius and the diameter of a sphere?
    Antwort
    (A)
    Diameter = 2 * Radius
  • 21
    If a rectangle has an area of 40 cm² and a length of 8 cm, what is its width?
    Antwort
    (B)
    5 cm
  • 22
    Calculate the volume of a prism. 10cm long with each of these cross sections: Rhombus with base 4cm, height 4cm
    Antwort
    (A)
    160 cm³