Level 3
A cuboid has a volume of 300 cm3. Its base is a rectangle which has a perimeter of 32 cm. The ratio of the length to the breadth of the rectangle is 5 : 3. Find its height.
3 m
Level 2
The figure shows some identical beads. How many unshaded beads must be removed so that 13 of the figure is unshaded?
2 m
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
The price of a TV set with 5% GST is $1050.
  1. How much does Adam have to pay if the GST is increased to 10%?
  2. How much more must Adam pay because of the GST increase?
3 m
Level 3
There are 20% as many green beads as red beads in May's collection of beads. The number of purple beads is 30% fewer than the number of red beads. There are 330 more purple beads than green beads.
  1. Find the total number of beads in the collection.
  2. What percentage are the number of red beads as compared to the number of purple beads? Leave your answer as a mixed number in its simplest form.
4 m