Lines, Angles, and Their Properties
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Lines, Angles, and Their Properties — Free MYP1 Mathematics Practice Questions

1QuestionConstructing and Measuring Angles with ProtractorConcept Practice
2 marks~3 minCriterion D
A builder uses a protractor to check the angle of a ramp before it is opened to the public.
a
Identify a real-life situation where measuring an angle with a protractor is important. [1]
b
Describe why getting that angle measurement exactly right matters for safety or for the ramp to work properly. [1]
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Solutions

2QuestionConstructing and Measuring Angles with ProtractorAssessment Practice
5 marks~8 minCriterion B
The table below shows the number of sides of a shape and the total of its inside angles.

Sides3456
Total of inside angles180°180°360°360°540°540°720°720°
a
State how much the total of inside angles increases each time one more side is added. [1]
b
Describe the pattern you see between the number of sides and the total of inside angles. [2]
c
Calculate the total of inside angles for a shape with 12 sides. Show your working. [2]

Solutions

3QuestionConstructing and Measuring Angles with ProtractorConcept Practice
3 marks~5 minCriterion A
Ray BDBD sits between rays BABA and BCBC, splitting ∠ABC\angle ABC into two smaller angles. The measure of ∠ABD\angle ABD is 30°30° and the measure of ∠ABC\angle ABC is 85°85°.
a
Name the two smaller angles that together make up ∠ABC\angle ABC. [1]
b
Write a number sentence to show how ∠ABD\angle ABD and ∠DBC\angle DBC combine to give ∠ABC\angle ABC. [1]
c
Calculate the measure of ∠DBC\angle DBC. [1]
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Solutions

4QuestionComplementary Supplementary and Vertical AnglesConcept Practice
4 marks~6 minCriterion A
A right angle is split into two smaller angles by a ray. One angle measures 35°35°.
a
State the size of a right angle. [1]
b
Identify the name for two angles that add up to 90°90°. [1]
c
Calculate the size of the other angle. Show your working. [2]
Question diagram

Solutions

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