Study

Measurement Revision (Including Trig & Pythag)

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  • A 10 metre rope is tied from the top of a 6 metre wall to a peg in the ground. How far from the wall is the peg? (Hint: draw a right-angled triangle)
    8 metres
  • Given the two triangles are similar, what is the value of x?
    14 (the scale factor is 2/3 or 0.666666)
  • What is the value of h?
    h = 19.3cm
  • What is the surface area?
    136 metres squared
  • After labelling the given side lengths, which trig ratio (SOHCAHTOA triangle) would you use?
    = SIN ratio or SOH
  • What is the surface area?
    330 cm squared
  • A cylindrical piece of metal has a part cut out as shown in the diagram. What is the volume? (Round your answer to the nearest whole)
    5655 cm^3
  • A cylindrical tank has a radius of 7m and a height of 10m. What is the volume?
    1539 m^3
  • What is the missing side length?
    Scale factor = 5. Missing side length = 8
  • What is the volume?
    240 metres cubed
  • How many metres is 250mm?
    0.25 metres
  • What is the value of x? (Use Pythagoras)
    x = 5.83
  • What is the volume?
    270 cm^3
  • What is the surface area of the cylinder?
    226.19 cm squared
  • What is the value of x?
    12 cm
  • Which side is Opposite?
    = 16.7
  • Which condition tells us that these triangles are similar? (SSS, SAS, AA, RHS)
    AA or AAA (if 2 angles are the same then the third one must be too)
  • A cylinder has a radius of 4cm and a height of 12cm. What is the volume?
    603.2 cm squared
  • Find the value of e
    e = 8.04m
  • Is the side marked with an x the Opposite, Adjacent or Hypotenuse?
    x = 28.14cm
  • What is the value of y?
    12.58
  • What is the value of x? (Use Pythagoras)
    x = 5