Factors Multiples LCM and HCF

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Factors Multiples LCM and HCF — Free MYP2 Mathematics Practice Questions

1QuestionFinding Factors of a NumberConcept Practice

2 marks~3 minCriterion A

A rectangle has an area of 24 square units and a width of 3 units.

Calculate the length of the rectangle. [1]

List all factor pairs of 24. Identify which factor pair represents the dimensions of this rectangle. [1]

Solutions

2QuestionFinding Factors of a NumberAssessment Practice

4 marks~6 minCriterion D

A gardener plans a rectangular flower bed with an area of

36 \text{ m}^2

. She wants the side lengths to be whole numbers (integers).

List all pairs of integer side lengths that give an area of

36 \text{ m}^2

. [2]

The gardener considers using side lengths of

5.5 \text{ m}

and

6.5 \text{ m}

instead. Explain one advantage and one disadvantage of allowing non-integer side lengths in this design. [2]

Solutions

3QuestionFinding Factors of a NumberConcept Practice

3 marks~5 minCriterion B

A factor of a number divides into it exactly, with no remainder.

List all the factors of

24

. [1]

Factors of

24

can be arranged into pairs. State what each pair multiplies to give, and write out all four pairs. [1]

Compare the sizes of the two numbers in each factor pair. Describe the pattern you notice. [1]

Solutions

4QuestionPrime Factorization Using Factor TreesAssessment Practice

6 marks~9 minCriterion C

A student drew a factor tree for 72, shown below.

72

8 \quad \times \quad 9

2 \times 4 \qquad 3 \times 3

\quad\quad 2 \times 2

The student says the prime factors of 72 are 2, 2, 2, 3, and 3.

Identify one error in the student's factor tree. [1]

Draw a complete factor tree for 72, stopping only when every branch ends in a prime number. Write the prime factorisation in index form. [3]

Explain why any correct factor tree for 72 must always give the same prime factors. [2]

Solutions

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