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Factors Multiples LCM and HCF — Free MYP1 Mathematics Practice Questions
1QuestionFinding Factors of a NumberConcept Practice
2 marks~3 minCriterion B
A teacher has 24 students and wants to split them into equal-sized groups.
a
List all the possible group sizes. [1]
b
Describe what all these group sizes have in common. [1]
Solutions
2QuestionLowest Common Multiple LCMConcept Practice
4 marks~6 minCriterion D
Two buses stop at the same bus stop. Bus A arrives every 6 minutes. Bus B arrives every 9 minutes. Both buses arrive together at 8:00 AM.
a
List the first four multiples of 6 and the first four multiples of 9. [1]
b
Calculate the lowest common multiple (LCM) of 6 and 9, and state the first time after 8:00 AM when both buses arrive together. [2]
c
Describe one reason why the two buses might not actually arrive together at the time you calculated. [1]
Solutions
3QuestionFinding Factors of a NumberConcept Practice
4 marks~6 minCriterion A
A teacher is organising students into equal-sized teams for a sports day. No student should be left out.
a
List all the factors of . [2]
b
The teacher wants to make teams of . Identify whether this is possible, and give one reason for your answer. [1]
c
Describe one reason why the factors of might not all work as team sizes in a real sports day. [1]
Solutions
4QuestionFinding Multiples of a NumberConcept Practice
5 marks~8 minCriterion C
A student says: "All multiples of 6 are also multiples of 3 and 2, so the LCM of 6, 3, and 2 is 6."
a
List the first five multiples of 6, of 3, and of 2. [2]
b
Identify the smallest number that appears in all three lists. [1]
c
Describe whether the student's claim is correct, and explain why using your lists. [2]
Solutions
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