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    ST. COLUMBAN S COLLEGE

    Faculty of Mathematics

    Year 8 Mathematics - 2011 SEMESTER 2 NAME

    TERM 3 TEACHERUNIT Measurement CLASS 8 Mathematics

    ASSESSMENT ITEM Quiz DATE

    Time Allowed: 50 minutes

    Conditions:

    All working must be shownWork must be set out clearly and legiblyCalculators allowedMarks allocated are indicated in brackets after each question e.g. (2) = 2 marksPART A: Questions 1 11, PART B: Questions 12 14

    PART A PART B COMMUNICATION

    /27 /14HIGH SATISFACTORY UNSATISFACTORY

    COMMON CURRICULUM ELEMENTS INCLUDED IN THIS TASKRecognising letters, words and other symbolsRecalling/rememberingInterpreting the meaning of pictures/illustrationsInterpreting the meaning of tables or diagrams or maps or graphsTranslating from one form to anotherCalculating with or without a calculatorSubstituting in formulaeSetting out/presenting/arranging/displayingApplying a progression of steps to achieve the required answerIdentifying shapes in two and three dimensions

    Teacher Signature: Date: / /2011

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    PART 1: Knowledge and Understanding

    For questions 1 5, circle the correct answer.

    1) 120 cm is equal to: (1)

    a) 1.2 m

    b) 12 mmc) 0.12 md) 1.2 km

    2) 25 cm is equal to: (1)

    a) 0.25 mmb) 2.5 mc) 250 mmd) 2.5 mm

    3) 1 730 mm is equal to: (1)

    a) 17.3 cmb) 1.73 mc) 17.3 md) 1.73 cm

    4) 0.928 km is equal to: (1)

    a) 928 mb) 928 cmc) 928 mmd) 92.8 m

    5) 1.85 m is equal to: (1)

    a) 0.185 km

    b) 18.5 cmc) 185 cmd) 185 mm

    6) What would be the most appropriate metric unit to measure: (5)

    a) Your heightb) The width of your pencilc) The length of a football fieldd) The distance from Caboolture to Cairns

    e) The size of your computer screen

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    7) Calculate the perimeter of the following shapes.a) b)

    2.3 km 3 m

    0.9km 1.2 km

    3 m 3.0 km

    1.8 km

    (4)

    PART 1: Thinking and Reasoning

    8) A garden bed is made up of two common shapes . The outline of the garden bed isshown below. Calculate the total area of the garden bed.

    5 m

    3 m

    9 m

    Total area=

    _____________________________________________________________________

    _____________________________________________________________________

    _____________________________________________________________________

    _____________________________________________________________________

    (4)

    Perimeter=

    ___________________________

    ___________________________

    ___________________________

    Perimeter=

    _____________________________________

    _____________________________________

    _____________________________________

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    PART 2: Knowledge and Understanding

    9) Liam is a farmer and he needs to fence along the perimeter of rectangular paddock forhis cattle. The paddock is 250 metres long and 110 metres wide .

    Hint: You may like to draw a diagram of the paddock to help solve the problem.

    a) How many metres of fencing does Liam need for his paddock?

    Metres of fencing=

    _______________________________________

    _______________________________________

    _______________________________________

    _______________________________________

    _______________________________________ _______________________________________

    (2)

    b) What area does Liams paddock cover?

    Area of paddock=

    ________________________________________

    ________________________________________

    ________________________________________

    ________________________________________

    ________________________________________

    ________________________________________

    (2)

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    PART 2: Thinking and Reasoning

    10) Brooke is training on an athletics track. An outline of Brookes athletic track is shownbelow.

    If Brooke ran ten laps of this track, how far would she have run?

    _____________________________________________________________________

    _____________________________________________________________________

    _____________________________________________________________________

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    _____________________________________________________________________

    _____________________________________________________________________

    _____________________________________________________________________

    _____________________________________________________________________ (4)

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    11) Jack is the proud owner of a new rectangular in-ground swimming pool. A diagram ofthe pool is shown below. He needs to tile the area around the pool to get it ready forthe party he is going to have for all of grade 8.

    POOL 9 m 17 m

    25 m

    33 m

    a) How big is the area that Jack needs to tile?

    Area=

    ________________________________________

    ________________________________________

    ________________________________________

    ________________________________________

    ________________________________________

    ________________________________________

    (3)

    b) If the pool has a constant depth of 1.8 m , what volume of water is in the pool?

    Volume=

    ________________________________________ ________________________________________

    ________________________________________

    ________________________________________

    ________________________________________

    ________________________________________

    (2)

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    A = 8 cm 2

    PART 3: Knowledge and Understanding

    12) Tayla has a sailing boat with two triangular sails. The dimensions of the larger sail areshown in the diagram below. Work out how much material is required to make thelarger sail (not taking into consideration any overlap).

    4 m

    1.4 m

    Area of material required=

    ________________________________________

    ________________________________________

    ________________________________________

    ________________________________________

    ________________________________________ (2)

    13) Tom is enjoying his Toblerone chocolate and hedecides to pull out his ruler and measure thedimensions of the package that it came in.

    The Toblerone package is a triangular basedprism with the dimensions indicated in thediagram on the right ( the area of one end is 8cm 2).

    What is the volume of Toms Toblerone package?

    _____________________________________________________________________

    _____________________________________________________________________

    _____________________________________________________________________

    _____________________________________________________________________

    _____________________________________________________________________

    _____________________________________________________________________

    (3)

    28 cm

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    PART 3: Thinking and Reasoning

    14) The layout of an AFL field is shown below. Assume that the field is a perfect circle .The field has a radius of 75 metres .

    75 m

    45 m

    a) What is the area of the whole field?

    Area=

    ____________________________________

    ____________________________________

    ____________________________________

    ____________________________________

    b) The square in the middle of the field is called the centre square. Each side of thesquare is 45 metres in length.Jayden is the groundsman and he wants to fertilise the entire ground except forthe centre square.

    If it costs $3 to fertilise one square metre , how much will it cost Jayden to fertilisethe area that he wants to?

    ___________________________________________________________________

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    ___________________________________________________________________ ___________________________________________________________________

    (4)