50066

Question

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Worked Solution

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Variant 0

DifficultyLevel

543

Question

A cake is cut into 10 equal pieces.

The angle between the cuts is labelled on the diagram as a\large a°\degree.



What is the value of a\large a°\degree.

Worked Solution

There is 360° about a point.
∴ a\therefore\ \large a° = 36010\dfrac{360}{10}
= 36°\degree

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A cake is cut into 10 equal pieces. The angle between the cuts is labelled on the diagram as $\large a$$\degree$.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/03/NAPX-LA-CA12-o2-cake1.svg 220 indent3 vpad
What is the value of $\large a$$\degree$.
solution
There is 360° about a point.
| | | | --------------------- | -------------------------------------------- | | $\therefore\ \large a$° | = $\dfrac{360}{10}$ | | | = 36$\degree$|
correctAnswer
36°

Answers

Is Correct?Answer
x

10°

x

18°

x

30°

✓

36°

Variant 1

DifficultyLevel

543

Question

A wagon wheel has 8 spokes.

The angle between two spokes is marked by a\large a°\degree on the diagram.



What is the value of a\large a°\degree ?

Worked Solution

There is 360° about a point.
∴a\therefore \large a°\degree = 3608\dfrac{360}{8}
= 45°\degree

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A wagon wheel has 8 spokes. The angle between two spokes is marked by $\large a$$\degree$ on the diagram.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/04/NAPX-LA-CA12-o1wheel-revised.svg 180 indent vpad
What is the value of $\large a$$\degree$ ?
solution
There is 360° about a point.
||| |-|-| |$\therefore \large a$$\degree$ |= $\dfrac{360}{8}$| ||= 45$\degree$|
correctAnswer
45$\degree$

Answers

Is Correct?Answer
x

8°\degree

x

22.5°\degree

x

40°\degree

✓

45°\degree