Question 1: Shade half of the circle below by drawing a straight line across its diameter. Use the grid to help position your line accurately.

Answer: Line across diameter dividing circle into two equal halves

Question 2: Construct a rectangle and shade exactly one-third of its area by drawing lines. Show your work on the grid.

Answer: Rectangle divided into 3 equal parts, shading one part

Question 3: Plot the graph of y=2x and shade the region between the line and the x-axis from x=0 to x=4.

Answer: Shaded triangle under the line y=2x from x=0 to 4

Question 4: A square has its bottom-left corner at (2,2) on the grid. Shade the top half of the square.

Answer: Shaded area in top half of square between y=4 and y=6

Question 5: Identify and shade the quarter of a circle with radius 4 centered at the origin in the top-right quadrant.

Answer: Quarter circle in top-right with radius 4, shaded in that quadrant

Question 6: A triangle with vertices at (1,1), (4,1), and (2,4). Shade the region inside the triangle on the grid.

Answer: Interior of the triangle with vertices at given points, shaded within boundaries

Question 7: Construct a trapezium on the grid with the top base of length 3 units and the bottom base of length 5 units. Shade the entire trapezium.

Answer: Trapezium with specified bases, shaded inside boundary

Question 8: A rectangle is divided into four equal parts by two lines, one vertical and one horizontal. Shade the two parts in the top row.

Answer: Shaded the top two rectangles formed by dividing the larger rectangle

Question 9: Identify the common mistake: A student shades only the outer edges of a circle instead of the interior. Explain what is wrong and how to correct it.

Answer: Incorrect shading of only the boundary; should shade the entire interior area

Question 10: Challenge: On the grid, construct and shade a hexagon with sides of 3 units each, inscribed in a circle of radius 3. Show all steps.

Answer: Hexagon with sides of 3 units, inscribed in circle, shaded inside