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
Nellie read 14 of a storybook. If she had read another 147 pages, she would have read 56 of the whole storybook altogether. How many pages were there in the storybook?
4 m
Level 2
Mrs Goh had a sum of money. She could either buy 32 chocolates or 24 sweets. Given that she had already bought 12 chocolates and 9 sweets, how many more chocolates could she buy?
4 m
Level 2
A mini-bus can take either 12 adults or 15 children. There are 6 mini-buses altogether and there are 8 adults in each of the mini-buses. What is the maximum number of children the mini-buses can still take?
2 m