Question 1: Shade half of the square divided into two equal parts. Calculate the area of the shaded region if the entire square has an area of 16 cm².

Answer: 8

Question 2: Construct a rectangle of dimensions 6 cm by 4 cm and shade three-quarters of its area. Calculate the area of the shaded region.

Answer: 18

Question 3: In a circle with radius 7 cm, shade a sector representing one-third of the circle. Calculate the area of the sector.

Answer: 51.84

Question 4: A triangle has a base of 10 cm and a height of 6 cm. Shade the region representing half of the triangle's area. What is the area of the shaded region?

Answer: 30

Question 5: Plot the graph of y=2x for x from 0 to 5 and shade the region between the line and the x-axis under the curve for x=1 to x=4.

Answer: 6

Question 6: Construct a triangle with sides 6 cm, 8 cm, and 10 cm. Shade the region outside the triangle but inside the rectangle of 12 cm by 10 cm. How much area is shaded?

Answer: 44

Question 7: A rectangle is divided into 9 equal smaller rectangles. Shade 4 of these smaller rectangles. What percentage of the entire rectangle is shaded?

Answer: 44.44

Question 8: A composite shape consists of a rectangle attached to a semicircle on top. Shade the semicircular region. If the radius of the semicircle is 3 cm, find the area of the shaded region.

Answer: 14.13

Question 9: Identify the common mistake: A student shades only half of the triangle's base but claims to have shaded half the triangle's area. Explain what is wrong and correct the shading concept.

Answer: Shading only half the base does not necessarily mean half the area; the correct way is to shade a region that visually represents half of the total area.

Question 10: A square of side 12 cm is divided into 16 smaller squares of equal size. Shade one-quarter of the square. What is the total shaded area?

Answer: 36