Divisibility and Remainders
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Divisibility and Remainders — Free MYP1 Mathematics Practice Questions

1QuestionApplications of Remainders in ContextConcept Practice
2 marks~3 minCriterion A
A rectangle is divided into 4 rows and 6 columns of equal squares. Eight of the squares are shaded.
a
Calculate the total number of squares in the rectangle. [1]
b
Describe whether the number of shaded squares is a multiple of the number of rows. [1]
Question diagram

Solutions

2QuestionApplications of Remainders in ContextConcept Practice
2 marks~3 minCriterion D
A teacher has 28 students and wants to make groups of 6 for a project.
a
Calculate the number of complete groups of 6 that can be formed and state how many students are left over. [1]
b
Describe why knowing the number of students left over matters when planning the project. [1]
Question diagram

Solutions

3QuestionApplications of Remainders in ContextConcept Practice
2 marks~3 minCriterion B
When you count up in 3s, you get: 3, 6, 9, 12, 15, 18, 21, …
a
List the remainders when each of 3, 6, 9, 12, 15, 18 is divided by 4. [1]
b
Describe the pattern you see in your remainders. [1]

Solutions

4QuestionDivisibility Rules for Numbers 2 to 10Concept Practice
4 marks~6 minCriterion C
Look at the number 7,8407{,}840.
a
Identify whether 7,8407{,}840 is divisible by 22, by 55, and by 1010. [1]
b
Describe the divisibility rule for 22 and the divisibility rule for 55, and use each rule to explain why 7,8407{,}840 is divisible by both. [1]
c
Compare a number ending in 00 with a number ending in 55. Describe how each one behaves with divisibility by 22 and by 55. [2]

Solutions

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