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    1exp Topical Assignment 2a

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    Nidhi Sharma Puranik
    This document contains a math assignment with 5 problems: 1) Find the highest common factor and lowest common multiple of 27, 45, and 120 when written as products of prime factors. 2) Find the smallest whole numbers that make 108 a perfect cube, 75b a perfect square, and 75c a multiple of 108. 3) Find the smallest value of k such that the lowest common multiple of 18 and k is 180. 4) Find the greatest number of baskets needed to pack 48 apples, 72 oranges, and 96 pears equally among the baskets, and the number of each fruit in each basket. 5) Find the next year that three comets passing through

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    1exp Topical Assignment 2a

    Uploaded by

    Nidhi Sharma Puranik
    29 views2 pages
    This document contains a math assignment with 5 problems: 1) Find the highest common factor and lowest common multiple of 27, 45, and 120 when written as products of prime factors. 2) Find the smallest whole numbers that make 108 a perfect cube, 75b a perfect square, and 75c a multiple of 108. 3) Find the smallest value of k such that the lowest common multiple of 18 and k is 180. 4) Find the greatest number of baskets needed to pack 48 apples, 72 oranges, and 96 pears equally among the baskets, and the number of each fruit in each basket. 5) Find the next year that three comets passing through

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    1Exp Topical Assignment 2a

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    This document contains a math assignment with 5 problems: 1) Find the highest common factor and lowest common multiple of 27, 45, and 120 when written as products of prime factors. 2) Find the smallest whole numbers that make 108 a perfect cube, 75b a perfect square, and 75c a multiple of 108. 3) Find the smallest value of k such that the lowest common multiple of 18 and k is 180. 4) Find the greatest number of baskets needed to pack 48 apples, 72 oranges, and 96 pears equally among the baskets, and the number of each fruit in each basket. 5) Find the next year that three comets passing through

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    29 views2 pages

    1exp Topical Assignment 2a

    Uploaded by

    Nidhi Sharma Puranik
    This document contains a math assignment with 5 problems: 1) Find the highest common factor and lowest common multiple of 27, 45, and 120 when written as products of prime factors. 2) Find the smallest whole numbers that make 108 a perfect cube, 75b a perfect square, and 75c a multiple of 108. 3) Find the smallest value of k such that the lowest common multiple of 18 and k is 180. 4) Find the greatest number of baskets needed to pack 48 apples, 72 oranges, and 96 pears equally among the baskets, and the number of each fruit in each basket. 5) Find the next year that three comets passing through

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    of 2

    Teck Whye Secondary School

    Secondary 1 Express
    Inspiring Learning, Topical Assignment 2a 12
    Empowering Lives

    (1) Primes, Highest Common Factor and Lowest Common Multiple

    Name: Class: Date:

    1 The numbers 27, 45 and 120, written as products of their prime factors, are
    27  33 45  32  5 120  23  3  5
    Find the
    (a) highest common factor,

    Answer .............................................. [1]


    (b) lowest common multiple.

    Answer .............................................. [1]


    __________________________________________________________________________________

    2 The numbers 75 and 108, written as products of their prime factors, are

    75  3  52 108  22  33

    108
    (a) Find the smallest whole number a, such that is a perfect cube.
    a

    Answer .............................................. [1]


    (b) Find the smallest whole number b, such that 75b is a perfect square.

    Answer .............................................. [1]


    (c) Find the smallest whole number c, such that 75c is a multiple of 108.

    Answer .............................................. [1]


    __________________________________________________________________________________
    1
    3 The lowest common multiple of 18 and k is 180. Find the smallest value of k.

    Answer .............................................. [2]


    4 John has 48 apples, 72 oranges and 96 pears in his store room.
    John wants to pack the fruits into baskets.
    It is given that each type of fruit is distributed equally among the baskets.
    (a) Find the greatest number of baskets needed to pack the fruits.

    Answer .............................................. [2]


    (b) State the number of apples, oranges and pears in each basket.

    Answer ............................................................................................................................... [1]


    ___________________________________________________________________________________

    5 Three comets pass through our solar system every 42 years, 60 years and 330 years
    respectively.
    The last time they passed through our solar system together was in the year 1641.
    When will they next pass through our solar system together?

    Answer .............................................. [2]


    __________________________________________________________________________________
    2

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