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Prime Composite and Square Numbers — Free MYP3 Mathematics Practice Questions
1QuestionApplications of Square Numbers in GeometryConcept Practice
2 marks~3 minCriterion A
A square tile has a side length of 7 cm.
a
Calculate the area of the tile. [1]
b
A second square tile has an area of 49 cm². Explain whether the two tiles are the same size. [1]
Solutions
2QuestionApplications of Square Numbers in GeometryAssessment Practice
2 marks~3 minCriterion D
A square kitchen floor has a side length of . Each tile covers .
a
Calculate the number of tiles needed to cover the floor. [1]
b
The side length is measured too short. Explain how this error affects the number of tiles ordered. [1]
Solutions
3QuestionApplications of Square Numbers in GeometryAssessment Practice
3 marks~5 minCriterion B
A square has a side length of units, split into four regions by dividing each side as : two smaller squares and two rectangles.
a
Calculate the area of the large square. [1]
b
Calculate the area of each of the four smaller regions and find their total. [1]
c
Explain what the result from part (b) shows about the expression . [1]
Solutions
4QuestionComposite Numbers and Their PropertiesAssessment Practice
4 marks~6 minCriterion C
A school plans a rectangular garden with an area of . A student claims that because 36 is composite, both side lengths must also be composite numbers, giving exactly three possible pairs: , , and .
a
List all factor pairs of 36. [1]
b
Identify which factors of 36 are composite numbers. Explain why 1, 2, and 3 are not composite. [2]
c
Analyse whether the student's claim is valid. [1]
Solutions
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