Level 3
The figure shows 2 quarter circles and a rectangle. The radius of the big quarter circle is 10 cm. The radius of the small quarter circle is 5 cm. Find the difference in area between the two shaded parts P and Q. (Take π = 3.14 and give the answer correct to 1 decimal place) Answer: 5.7 cm2
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Level 3
The figure shows a rectangle with 2 identical semicircles and quadrants within It. The length of the rectangle is 10 cm. Find the area of the shaded part. (Take π = 3.14)
3 m
Level 3
The figure consists of a rectangle, a quadrant and an isosceles triangle. Given that the radius of the quadrant is 10 cm and B is the midpoint of Line AC, find the difference between the shaded areas Y and Z. Express the answer in nearest whole number. (Take π = 3.14)
3 m
Level 3
The figure shows 4 identical circles in a square, WXYZ. The area of the square is 900 cm2. Find the area of the shaded part (Take π = 3.14)
3 m
Level 3
In the figure, WXYZ is a square of side 20 cm with a semi-circle and 2 quadrants drawn in it. Find the difference in areas of the shaded regions A and B. (Take π = 3.14)
3 m
Level 3
Find (a) the perimeter and (b) the area of the figure. (Take π = 227)
3 m
Level 3
The figure shows two identical semi-circles. XY is a straight line. X and Y are the centres of the semi-circles. Given that the radius of the semi-circle is 10 cm, find the area of the shaded regions. Express the answer correct to 1 decimal place. (Take π = 3.14)
3 m
Level 3
The figure is made up of a right-angled isosceles triangle XYZ and a semicircle. XY = YZ and the diameter of the semicircle is 28 cm. Find the area of the shaded part of the figure.
3 m
Level 3
  1. Find the perimeter of the shaded region. (Take π = 3.14)
  2. Find the unshaded area of this figure. (Take π = 3.14)
3 m
Level 3
The figure is made up of curved lines (arcs) of quadrants with radius of different lengths in a square of edge 6 cm. Find the total shaded area. (Take π = 3.14)
3 m
Level 3
The figure is not drawn to scale. It is made up of 2 semicircles, X and Y, overlapping each other. The radius of semicircle X is 7 cm while the radius of semicircle Y is 14 cm. 37 of semicircle X is shaded. What fraction of the whole figure is not shaded? Express the answer in the simplest form. (Take π = 227)
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Level 3
WXYZ is a square of side 14 cm. The shaded area is 64 cm2. Calculate the total areas of A, B, C and D. (Take π = 227).
3 m
Level 3
Figure 1 shows a rectangle EFGH. It is folded along EG to form Figure 2. The area of Figure 2 is 58 of the area of Figure 1. The area of the shaded part in Figure 2 is 36 cm2. Find the area of rectangle EFGH.
3 m
Level 3
In the figure, not drawn to scale, XYZ is a right-angled triangle. XY is 12 cm, YZ is 16 cm. Find the area of the shaded parts. (Take π = 3.14 )
3 m
Level 3
The figure is made of 2 quadrants and a rectangle. The rectangle measures 12 cm by 4 cm. Using the calculator value of π, find the area of the shaded part. Correct the answer to 2 decimal places.
3 m
Level 3
The figure consists of a rectangle, one circle and two semi-circles. The area of each overlapping shaded portion is 44 cm2. Find the total area of the shaded parts. (Take π = 227)
3 m
Level 3
The figure is made up of a circle, 4 identical semi-circles and a square of side 14 cm. O is the centre of the circle. What is the area of the shaded figure?. (Take π = 227)
3 m
Level 3
The figure is made up of two identical squares, ABCD and WXYZ. The area of each square is 100 cm2. Point A is the centre of Square WXYZ. Find the unshaded area.
3 m
Level 3
Three planks of different lengths, X,Y and Z are nailed together to make a frame as shown. Plank X has 3 holes which divide it into 4 equal parts. Plank Y has 4 holes which divide it into 5 equal parts and Plank Z has 5 holes which divide it into 6 equal parts. In the frame, the holes A, B and C are three corners of an equilateral triangle. Plank X is 120 cm long. What is the total length of Plank X, Plank Y and Plank Z?
3 m
Level 3
The figure shows a square that is cut out from a big triangle. The area of the triangle and that of the square are whole numbers. Both the height and the base of the triangle are equal. If the shaded area is 73 cm2, find
  1. The length of the square
  2. The base of the triangle
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