Maths Year 7 T&A

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  • 8/12/2019 Maths Year 7 T&A

    1/2

    18 108

    108 =

    19 144

    144 =

    20 900

    900 =

    2012 Pascal Press

    Write in index form:

    1 7 7 7 7 7 7

    Write in expanded form:

    2 3 5

    3 2 4 5 3

    Which is equivalent to 2 3 3 5 2 3 2 5 3? Shade in the bubble.

    4 2

    2 3 3 5 4 2 4 3 2 5 3 2 3 3 4 5 2 2 4 3 3 5 2

    Find the value of:

    5 2 5

    6 3 4

    7 2 3 3 2

    8 5 2 11

    9 3 5 7 2

    10 2 2 3 2 5

    Which is NOT prime? Shade in the bubble.

    11 2 5 7 9

    Which of these numbers is prime? Shade in the bubble.

    12 21 23 25 27

    What is 24 as a product of its prime factors? Shade the bubble.

    13 2

    3 3 2 33

    22 3 2 2

    3 3 2

    What is 60 as a product of its prime factors? Shade the bubble.

    14 3 4 5 2

    2 3 5 2 32 5 2 3 5

    2

    Use a factor tree to nd the prime factors of each number and then write the numberas a product of its prime factors (using index notation).

    15 36

    36 =

    16 40

    40 =

    17 48

    48 =

    AUSTRALIAN CURRICULUM MATHEMATICS TEST

    YEAR 7 NUMBER AND ALGEBRA:

    INDEX NOTATION AND PRODUCTS OF POWERS

    CHECK YOUR SCORE FOR THE TEST

    Basic level 1 9 Intermediate level 10 16 Advanced level 17 20

  • 8/12/2019 Maths Year 7 T&A

    2/2

    18 108

    108 =

    19 144

    144 =

    20 900

    900 =

    CHECK YOUR SCORE FOR THE TEST

    Basic level 1 9 Intermediate level 10 16 Advanced level 17 20

    2012 Pascal Press

    Write in index form:

    1 7 7 7 7 7 7 7

    6

    Write in expanded form:

    2 3 5 3 3 3 3 3

    3 2 4 5 3 2 2 2 2 5 5 5

    Which is equivalent to 2 3 3 5 2 3 2 5 3? Shade in the bubble.

    4 2

    2 3 3 5 4 2 4 3 2 5 3 2 3 3 4 5 2 2 4 3 3 5 2

    Find the value of:

    5 2 5 32

    6 3 4 81

    7 2 3 3 2 72

    8 5 2 11 275

    9 3 5 7 2 735

    10 2 2 3 2 5 180

    Which is NOT prime? Shade in the bubble.

    11 2 5 7 9

    Which of these numbers is prime? Shade in the bubble.

    12 21 23 25 27

    What is 24 as a product of its prime factors? Shade the bubble.

    13 2

    3 3 2 33

    22 3 2 2

    3 3 2

    What is 60 as a product of its prime factors? Shade the bubble.

    14 3 4 5 2

    2 3 5 2 32 5 2 3 5

    2

    Use a factor tree to nd the prime factors of each number and then write the numberas a product of its prime factors (using index notation).

    15 36

    36 =

    16 40

    40 =

    17 48

    48 =

    ANSWERS TOAUSTRALIAN CURRICULUM MATHEMATICS TESTYEAR 7 NUMBER AND ALGEBRA:INDEX NOTATION AND PRODUCTS OF POWERS

    4 9

    2 2 3 3

    4 10

    2 2 2 5

    6 8

    2 3 2 4

    2 2

    9 12

    3 3 3 4

    2 2

    12 12

    3 4 3 4

    2 2 2 2

    9 100

    3 3 2 50

    2 25

    5 5

    2 2 3 2 2 2 3 3

    2 4 3 2

    2 2 3 2 5 2

    2 3 5

    2 4 3

    The factor trees are not unique. There are different ways to do the factorisations and ge t the