Questions 1 to 5 carry 2 marks each. Show your workings clearly in the space below each question and write your answers in the spaces provided. For questions which require units, give your answers in the units stated.

  1. (a)

    Write down all the common factors of 4 and 6.

    Ans: (a)___

  2. (b)

    What is the largest common multiple of 4 and 6 that is smaller than 50?

    Ans: (b)___

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Worked solution

1(a)

1. List the factors of 4 and 6

Factors of 4: 1,2,41, 2, 4
Factors of 6: 1,2,3,61, 2, 3, 6

2. Identify the common factors

The numbers that appear in both lists are 11 and 22.

Answer

1,21, 2

1(b)

1. Find the lowest common multiple (LCM) of 4 and 6

Multiples of 4: 4, 8, 12, 16, ...
Multiples of 6: 6, 12, 18, ...
The lowest common multiple is 12.

2. Find the largest multiple of the LCM that is smaller than 50

Multiples of 12: 12, 24, 36, 48, 60, ...
The largest multiple of 12 that is smaller than 50 is 48.

Answer

4848

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