Going_For_Gold_bounds

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					Bronze




         Going For Gold
            Bounds
          BRONZE LEVEL
  Bronze (1)

The diagram shows a car park at the Red Lion.   45 m
The lengths given on the diagram are each
correct to the nearest metre.                    24 m
                                                        83 m
Find upper bound for the perimeter of the
car park.
                                                               56 m
 Bronze (2)

A circular pond has a radius of 2.75 metres correct to 2 decimal places
Find lower bound for the circumference of the pond.
Give your answers to 2 decimal places.
 Bronze (3)

A rectangular field has sides of length 70 metres and
60 metres, each correct to the nearest metre.

Calculate the upper and lower bounds of the perimeter.

Find the best estimate of the perimeter of the field.
Bronze




             Going For Gold
                Bounds
               Congratulations!
         You’ve reached Bronze Level.
            Now move onto silver.
   Silver (1)

The diagram shows a car park at the Red Lion.     45 m
The lengths given on the diagram are each
correct to the nearest metre.                      24 m
                                                          83 m
Find lower bounds for the area of the car park.


                                                                 56 m
   Silver (2)

The sketch shows the end of a conservatory.
Each length is correct to 2 decimal places.
Give answers to the following questions to 2 decimal places.
Calculate the upper and lower bounds of the total area.
Find the best estimate of the total area.

         l
                         1.25 m



                          2.12 m



             3.24 m
    Silver (3)

A metal plate is shaped as a sector of a circle with radius 8.5 cm (to 2 significant
figures) and angle 120° (nearest degree).

Find maximum possible values for the area of the plate.
Give your answer to 3 significant figures.




                                           120°
                                                     8.5 cm
Bronze




            Going For Gold
               Bounds
              Congratulations!
         You’ve reached Silver Level.
            Now move onto gold.
    Gold (1)

The volume of a cone is given by the formula:

                      1                                                   l
                   V   r 2h                                     h
                      3
where r is the radius, h the height and l the slant height.           r

Suppose a cone has: radius 42 cm, height 65 cm, both correct to the nearest cm.

Calculate the lower bound of V
    Gold (2)

The diameter of a hemispherical bowl is
measured as 70 mm to the nearest millimetre.
Use the formula (where r is the radius) to find
the maximum possible volume

             V  2 r 3
                 3
    Gold (3)

The volume and total surface area of a cylindrical water tank are given by the
formulae:

       V  r 2 h    and     S  2r r  h 
where r is the radius and h is the height.

A tank has radius 1.75 m and height 4.25 m,
each correct to 3 significant figures.
Give answers to the following questions
to 3 significant figures.
         .
Find the upper and lower bounds for the volume of the tank.

Find the upper and lower bounds for the total surface area of the tank.
Gold




       Going For Gold
          Bounds
        Congratulations!
        You’ve reached
          GOLD!!!!!

				
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posted:9/24/2012
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