Level 3
Study the pattern.
Find the pattern number when 55 grey triangles are used.
3 m
Level 3
The diagram shows the number of blocks in the pattern.
  1. How many blocks will Pattern 4 have?
  2. How many blocks will Pattern 20 have?
  3. Which pattern has 211 blocks?
3 m
Level 3
The diagram shows the pattern for the number of circles.
  1. How many circles will Pattern 4 contain?
  2. How many circles will Pattern 30 contain?
  3. Which pattern contains 421 circles?
3 m
Level 3
The series of figures are made of cubes. Study the diagram and answer the following questions.
  1. How many cubes will there be in Figure 6?
  2. Which figure will have 120 cubes?
4 m
Level 3
By considering the diagrams and the pattern developed in the table, answer the following questions.
  1. If there are 5 kids, find the number of handshakes.
  2. If there are 50 kids, find the number of handshakes.
  3. If there are 190 handshakes, how many kids are there?
4 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
3 m
Level 3
The figure, not drawn to scale, is made up of two identical right-angled triangles, a small square and a big square. The lengths of the 2 squares are whole numbers. The perimeter of the shaded region is 32 cm, and the total area of the two unshaded squares is 89 cm2. Find the total area of the two shaded right-angled triangles.
3 m
Level 3
The following figures are made of ovals.
  1. How many ovals will there be in Figure 6?
  2. How many ovals will there be in Figure 88?
  3. Which figure will have 5305 ovals?
5 m