Pattern Recognition in Real Life
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Pattern Recognition in Real Life — Free MYP3 Mathematics Practice Questions

1QuestionAnalyzing and Explaining Real-World PatternsConcept Practice
2 marks~3 minCriterion A
A rectangular garden has a length of 7 cm and a width of 4 cm.

Calculate the perimeter of the rectangle, showing all working. [2]
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2QuestionCultural Patterns in Art and DesignAssessment Practice
4 marks~6 minCriterion D
An Islamic geometric pattern uses a regular octagon tile. The interior angle of a regular nn-sided polygon is given by:

Interior angle=180(n−2)n\text{Interior angle} = \frac{180(n-2)}{n}
a
Calculate the interior angle of a regular octagon. [1]
b
Explain whether regular octagons can tile perfectly around a single point, using your answer to part (a). [2]
c
Describe one limitation of this formula when applied to real handcrafted octagon tiles. [1]
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Solutions

3QuestionPatterns in Nature and ArchitectureConcept Practice
2 marks~3 minCriterion B
The diagram shows a nautilus shell with four spiral radii: r1=1r_1 = 1 cm, r2=1.6r_2 = 1.6 cm, r3=2.6r_3 = 2.6 cm, r4=4.2r_4 = 4.2 cm.

Calculate the ratio r2r1\dfrac{r_2}{r_1} and the ratio r3r2\dfrac{r_3}{r_2}. Using your results and the term "ratio", describe the mathematical relationship between each radius and the next. [2]
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Solutions

4QuestionPatterns in Music and RhythmAssessment Practice
6 marks~9 minCriterion C
A musician writes a rhythm pattern of four notes: a quarter note, an eighth note, another eighth note, and a quarter note. A quarter note lasts 1 beat; an eighth note lasts 12\frac{1}{2} beat.
a
Calculate the total number of beats in the pattern. [1]
b
At a tempo of 60 bpm each beat lasts 1 second, and at 120 bpm each beat lasts 0.5 seconds. Calculate the duration of the pattern in seconds at each tempo. [2]
c
The musician claims: "This pattern always lasts 4 beats, so its duration never changes." Analyse this claim, using your results from part (b) to support your reasoning. [3]
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Solutions

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