Level 3
Find the sum of 12 + 13 + 23 + 14 + 24 + 34 + 15 + 25 + 35 + 45 + . . . + . . . + 120 + 220 + . . . + . . . + . . . + 1920.
3 m
Level 3
The following is made up of identical triangles. Study the pattern carefully.
  1. Complete the table for Figure 4.
  2. A figure number in the pattern has a total of 144 triangles. What is the figure number?
4 m
Level 3
James formed some figures using squares and circles as shown
  1. Find the number of squares in Figure 6.
  2. Find the total number of circles and squares in Figure 10.
  3. A figure in the pattern has a total of 6481 circles and squares. What is the Figure Number?
4 m
Level 3
The diagram shows a sequence of patterns formed by identical triangles. Find the values of (i), (ii) and (ii). Give your answers in the following format. (Eg 1, 2, 3)
  1. A figure in the pattern has a total of 169 triangles. What is the Figure Number?
  2. Another figure has 50 more shaded triangles than unshaded triangles. What is the total number of triangles in this figure?
5 m
Level 3
Jake arranged 3 beads and 3 sticks to form Pattern 1. Then he added 3 more beads and 6sticks to form Pattern 2. He continued to form patterns in the same way.
  1. How many beads will he need to form Pattern 7?
  2. How many sticks will he need to form Pattern 5?
5 m