Level 3 PSLE
In the figure, ABCD is a rectangle and AED is a right-angled triangle with sides measuring 30 cm, 40 cm and 50 cm. The perimeter of the shaded part is 176 cm. What is the ratio of the area of the triangle to the area of the shaded part? Give your answer in the simplest form.
4 m
Level 3
Kim, John and Zane started walking at the same time from the same starting point round a circular track. Zane walked in the clockwise direction. Kim and John walked in an anti-clockwise direction. Zane took 6 min to complete each round. He met Kim after every 2 minutes. He met John after every 5 minutes. The three friends keep to their respective speeds throughout their walk.
  1. How many rounds did Zane complete in 1 h?
  2. When Zane and Kim met again at the starting point after 1 h, John had completed 1.6 km. Find the circumference of the circular track in metres.
5 m
Level 3
The figure is make up of 3 circles. The small circle has centre O and a radius of 6 cm. The big circle, has centre O and a radius of 10 cm. The diameter of the big circle cuts through the centre of the medium-sized circle and the small circle. The three regions formed are indicated as X, Y and Z.
  1. Find the radius of the medium-sized circle.
  2. Find the area of region Z. Use a calculator to obtain the value of π. (Round off to nearest 2 decimal places).
  3. Express the area of the region Y as a ratio to the area of region X.
5 m
Level 3
In the figure, not drawn to scale, WXYZ is a rectangle with a length of 45 cm and a width of 22 cm. The area of the quadrilateral ABCD is 75 cm2. Find the ratio of the shaded area to the unshaded area.
5 m
Level 3
The rectangle is divided into four parts A, B, C and D. The ratio of Part A to Part B is 5 : 3 and the ratio of Part B to Part C is 2 : 1.
  1. Find the ratio of Part A to Part B to Part C.
  2. Given that Part D is 26 cm2 , find the area of the rectangle.
5 m