Question 1: Shade exactly one quarter of the circle in the diagram provided.

Answer: Correctly shaded quarter

Question 2: Shade the triangular region formed inside the square where the diagonal divides the square into two equal parts.

Answer: Half of the square shaded

Question 3: Construct and shade the region representing the intersection of two overlapping circles, each with radius 4 cm, with centers 5 cm apart.

Answer: Area of intersection

Question 4: In a rectangle, shade the region that represents 30% of its total area.

Answer: 30% of rectangle shaded

Question 5: A diagram shows a trapezium with bases of 8 cm and 5 cm, and height 6 cm. Shade the region that represents the area of the trapezium.

Answer: Area shaded = 39 cm²

Question 6: A farmer wants to shade 40% of a rectangular field measuring 50 m by 20 m for planting. Shade the relevant region.

Answer: Region representing 40% of area

Question 7: Construct and shade a sector of a circle with radius 6 cm representing one third of the circle.

Answer: Sector representing 120° angle

Question 8: Identify the mistake: A student shades half of a rectangle, claiming it represents 50%. Is this correct? Explain and correct if necessary.

Answer: Yes, it's correct because half shaded = 50%

Question 9: Shade the region representing the overlapping area of two squares each 4 cm on a side, placed so that one corner of each overlaps.

Answer: Overlapping square region shaded

Question 10: A rectangle has a shaded region that covers exactly 35% of its total area. If the rectangle measures 10 m by 6 m, what is the area of the shaded region?

Answer: Shaded area = 0.35 * 60 m² = 21 m²

Question 11: Challenge: Construct and shade a shape that consists of a rectangle with a semicircular end, where the shaded region covers 60% of the total area.

Answer: Constructed shape with 60% shaded area

Question 12: Describe and correct the common mistake in shading a triangle if a student claims they shaded 75% of a square by shading three of its four triangles.

Answer: Correct shading reflects 75% as three of four triangles shaded; mistake if only parts shaded