I can see the math-related questions from the image you provided. Let’s break down and solve them one by one.

Q3. Clock Angle Question

• Question: If a clock starts at 12:00 noon and stops at 12:00 midnight, what type of angle does it make?

  Solution:
  The hour hand moves 360 degrees in 12 hours (a full circle). Since the hour hand starts at 12:00 noon and makes a complete revolution (reaches back to the same point at 12:00 midnight), it forms a 360-degree angle.

  Answer: The angle formed is 360 degrees (a full revolution).

Q4. Classify the Triangle in △ABC

• Given:

  • $AB = 13 \, cm$, $BC = 12 \, cm$, $CA = 5 \, cm$
  • $\angle C = 90^\circ$ (a right angle)

  Solution:
  This triangle has a 90-degree angle, which makes it a right-angled triangle. Additionally, since the side lengths $13 \, cm$, $12 \, cm$, and $5 \, cm$ fit the Pythagoras theorem ($13^2 = 12^2 + 5^2$), it is confirmed to be a right-angled triangle.

  Answer: Right-angled triangle.

Q5. Number of Right Angles Made by the Hour Hand

• Question: How many right angles does the hour hand of a clock form if it moves from 12:00 noon to 4:00 pm?

  Solution:

  • A right angle is 90 degrees.
  • The hour hand moves 30 degrees per hour (since $360^\circ$ is divided across 12 hours).
  • From 12:00 noon to 4:00 pm is 4 hours, so the hour hand moves: $4 \times 30^\circ = 120^\circ$
  • In these 4 hours, the hour hand will pass one right angle (at 3:00 pm, 90 degrees from the starting point).
    After that, it will move an additional 30 degrees towards the next right angle but won’t complete another one.

  Answer: One right angle.

VI. Section C – 1. Properties of Quadrilaterals

1. Are square and parallelogram quadrilaterals? What will be their angle sum property?
   Answer:

   • Both square and parallelogram are types of quadrilaterals.
   • The angle sum property for any quadrilateral is: $360^\circ$

2. Special Relationships Between Shapes: a) Square and Rhombus:

   • Both have all sides equal.
   • In a square, all angles are 90 degrees, whereas a rhombus has equal sides but no right angles (in general).

   b) Rectangle and Parallelogram:

   • A rectangle is a parallelogram with all angles equal to 90 degrees.
   • Every rectangle is a parallelogram, but not all parallelograms are rectangles.

VI. Section C – 2. Identifying Quadrilaterals Based on Properties

1. Lara’s Quadrilateral:

   • Lara says the shape has two acute angles and all four sides are equal.
   • The correct shape is a rhombus since:
     • All sides are equal.
     • A rhombus typically has two acute angles and two obtuse angles.

   Answer: Rhombus.

2. Stefan’s Quadrilateral:

   • Stefan says the shape has more than one obtuse angle and no parallel sides.
   • This matches the properties of a kite since:
     • A kite has two pairs of adjacent sides equal.
     • It usually contains obtuse angles and has no parallel sides.

   Answer: Kite.

Do you want more detailed explanations or have any questions?

5 Related Questions:

1. What is the general formula to find the angle sum of a polygon?
2. How do you calculate the angle between the hour and minute hand at a specific time?
3. What other types of triangles can be classified based on side lengths?
4. Why is a square considered a type of both rectangle and rhombus?
5. Can a trapezium ever have parallel sides?

Tip:

For any triangle, if one angle is 90 degrees, the triangle will always follow the Pythagorean theorem: $a^2 + b^2 = c^2$.