Level 3
The figure is not drawn to scale. The ratio of the area of the rectangle to the area of the circle to the area of the triangle is 21 : 17 : 4. If 14 of the triangle and 37 of the rectangle are shaded, what is the ratio of the total shaded area to the total of the unshaded area? Leave your answer in the simplest form.
4 m
Level 3 PSLE
The perimeter of figure ABCDE is (10w + 14) cm. The perimeter of square ABCD is 20 cm.
  1. Find the perimeter of triangle ADE in terms of w.
  2. The perimeter of figure ABCDE is 44 cm. What is the value of w?
3 m
Level 3
The figure is made up of a circle, a triangle and a square of sides 8 cm. The radius of the circle is 7 cm. The ratio of the area of the circle to the shaded area of the circle is 7 : 3. The ratio of the area of the square to the area of the triangle is 1 : 4. Given that 14 of the square is shaded, what is the total area of the unshaded figure? (Take π = 227)
4 m
Level 3
The figure is not drawn to scale. Three pentagons A, B and C are arranged as shown in the figure. The area of Pentagon A is 35 the area of Pentagon B. The area of Pentagon B is 35 the area of Pentagon C.
  1. Find the ratio of the area of Pentagon A to the area of Pentagon C.
  2. 23 of Pentagon A is shaded. What fraction of the whole figure is not shaded?
4 m
Level 3 PSLE
The figure is made up of two rectangles, ABHF and FGDE, and two right-angled isosceles triangles, BCH and DCG. BA = 13 cm, DE = 8 cm and BH = w cm. AFE and CHGF are straight lines.
  1. Find the length of AE in terms of w. Give your answer in the simplest form.
  2. Find the total area of the figure when w = 16.
3 m