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Prime Composite and Square Numbers — Free MYP2 Mathematics Practice Questions
1QuestionApplications of Square Numbers in GeometryConcept Practice
2 marks~3 minCriterion A
A square patio has a side length of 7 m.
a
Identify the formula used to calculate the area of a square. [1]
b
Calculate the area of the patio. Show your working. [1]
Solutions
2QuestionComposite Numbers and Their PropertiesAssessment Practice
5 marks~8 minCriterion C
A student claims: "Every composite number is the product of exactly two prime numbers."
A composite number has more than two factors. A prime number has exactly two factors: 1 and itself.
A composite number has more than two factors. A prime number has exactly two factors: 1 and itself.
a
State the prime factorisation of 12, 18, and 30. [2]
b
Identify one example from part (a) that disproves the student's claim, and explain why the claim is incorrect. [2]
c
Compare the student's claim with the correct statement about prime factorisation of composite numbers. [1]
Solutions
3QuestionSquare Numbers and Their PatternsConcept Practice
2 marks~3 minCriterion B
The dot arrangements below show the first four square numbers.
Arrangement 1: 1 dot
Arrangement 2: 4 dots
Arrangement 3: 9 dots
Arrangement 4: 16 dots
Arrangement 1: 1 dot
Arrangement 2: 4 dots
Arrangement 3: 9 dots
Arrangement 4: 16 dots
a
State the relationship between the side length and the total number of dots, using mathematical notation. [1]
b
Explain why these numbers are called "square numbers." [1]
Solutions
4QuestionApplications of Square Numbers in GeometryAssessment Practice
6 marks~9 minCriterion D
Two students each measure the side of a square garden bed. Student A records 3.2 m; Student B records 3.3 m. The true side length is 3.25 m.
a
Calculate the actual area of the garden bed. Show your working. [1]
b
Calculate the percentage error in area for each student's measurement. State which measurement is more accurate. [3]
c
Identify one reason why the formula may not give the exact area of a real garden bed. Explain how the shape of a real garden bed can differ from a perfect square. [2]
Solutions
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