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Symmetry and Tessellations — Free MYP1 Mathematics Practice Questions
1QuestionCreating Symmetrical DesignsConcept Practice
2 marks~3 minCriterion D
The McDonald's logo has a large letter "M" made of two golden arches.
a
Name the type of symmetry shown in the McDonald's "M" logo. [1]
b
Describe how this symmetry makes the logo easy to recognise. [1]
Solutions
2QuestionUnderstanding Rotational SymmetryAssessment Practice
5 marks~8 minCriterion C
A regular pentagon has rotational symmetry of order 5.
a
Name the formula used to find the angle of rotation for a shape with rotational symmetry of order . [1]
b
Calculate the angle of rotation for the regular pentagon. Show your working. [2]
c
A student says: "A square turns onto itself more often than a regular pentagon as you spin it one full turn." State whether the student is correct and give one reason using the angles of rotation of both shapes. [2]
Solutions
3QuestionTessellating Shapes and PatternsConcept Practice
2 marks~3 minCriterion A
A tessellation is a pattern made by repeating a shape to cover a flat surface.
a
State one word that describes what a tessellation must have between its shapes. [1]
b
Describe what this means in a full sentence. [1]
Solutions
4QuestionIdentifying Line Symmetry in ShapesConcept Practice
2 marks~3 minCriterion B
A regular polygon has the same number of lines of symmetry as it has sides.
| Shape | Sides | Lines of symmetry |
|---|---|---|
| Triangle | 3 | 3 |
| Square | 4 | 4 |
| Pentagon | 5 | 5 |
| Hexagon | 6 | 6 |
a
Identify the pattern shown in the table. [1]
b
State the number of lines of symmetry for a regular octagon. [1]
Solutions
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