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  • Perplex
    IB Math AISL
    /
    2D & 3D Geometry
    /

    Problems

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    Problem Bank - 2D & 3D Geometry

    Access custom-built, exam-style problems for 2d & 3d geometry. Each problem has a full solution and mark-scheme, as well as AI grading and support.

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    5 / 33 problems visible - Upgrade to view all problems

    IB: 5
    4

    !

    0 / 6

    A spherical raindrop has a diameter of 2mm.

    1. Find the volume of the raindrop in cm3.

      [2]

    In the following parts of the problem, give all your answers in the form a×10k where 1≤a<10 and k∈Z.


    During a large thunderstorm, 7000m3 of water falls.

    1. Estimate the number of raindrops that fell.

      [2]

    The number of HX2​O molecules in 1mL is 3.34×1022.

    1. Calculate the number of HX2​O molecules that fell during the storm.

      [2]
    5

    !

    0 / 6

    The total market value of all the gold in the world is 2.7×1013 US dollars.

    1. Given that a kilogram of gold costs $110000, calculate the mass of all the gold in the world.

      [2]

    Olympic swimming pools have dimensions 50m by 25m by 2m. It is given that 1cm3 of gold weighs 19g.

    1. Find the number of olympic swimming pools needed to store all the world's gold.

      [4]
    6

    0 / 5

    The following diagram shows triangle ABC.

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    Find the length of [AB].

    [5]
    7
    Plus

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    8
    Plus

    0 / 11

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