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Question 1 of 10
1. Question
Find the value of \(a \) if the points $\left( {2,1} \right),\left( {4,2a – 1} \right),\left( {5,7} \right)$ are collinear. Note that collinear means that more than two points lie on the same straight line.
\(a = \)
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Question 2 of 10
2. Question
The equation of a straight line perpendicular to \(y = – \dfrac{x}{2} + 4\) and passing through \(\left( {3,1} \right)\) is \(y = Ax + B\).
\(A = \) , \(B = \)
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Question 3 of 10
3. Question
Find the interior angle of a 30-sided regular polygon.
\( ^\circ \)
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Question 4 of 10
4. Question
Which of the following is a regular quadrilateral?
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Question 5 of 10
5. Question
Drag and drop the angle names in “Sort elements” to the corresponding boxes.
Sort elements
right
obtuse
straight
revolution
reflex
acute
\( \theta = 90^{\circ} \)
\( 90^{\circ} \lt \theta \lt 180^{\circ} \)
\( \theta = 180^{\circ} \)
\( \theta = 360^{\circ} \)
\( 180^{\circ} \lt \theta \lt 360^{\circ} \)
\( 0^{\circ} \lt \theta \lt 90^{\circ} \)
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Question 6 of 10
6. Question
Drag and drop the descriptions to the corresponding boxes.
Sort elements
All three sides are equal in length.
Two sides are equal in length.
No sides are equal in length.
All angles are less than \( 90^{\circ} \).
Contains a \( 90^{\circ} \) angle.
Contains an angle greater than \( 90^{\circ} \).
equilateral triangle
isosceles triangle
scalene triangle
acute-angled triangle
right-angled triangle
Obtuse-angled triangle
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Question 7 of 10
7. Question
Given that three angles \( 2x, 3x \) and \( 4x \) are in a triangle. Find \( x \).
\( x = \) \( ^\circ \)
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Question 8 of 10
8. Question
Select all statements that are true.
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Question 9 of 10
9. Question
Given four angles \( 4x+30, 2x+40, 2x+40 \) and \( 2x-20 \) are in a quadrilateral, find \( x \).
\( x = \) \( ^\circ \)
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Question 10 of 10
10. Question
A certain quadrilateral has each angle \( 10^\circ \) greater than the previous one, except the smallest angle. How large is the smallest angle?
