Same pattern as Grey and white triangles — Figure 250. New numbers, new story. Try each one on paper, then check the working below — or watch it drawn out, the same way the problem above is.
Question 1
A tiler is designing a set of triangular mosaic patterns for a lobby floor. Each pattern, Figure n, is a large triangle made up of small red and blue triangular tiles. The table shows the tile counts for the first four figures. Figure | Red tiles | Blue tiles | Total tiles 1 | 1 | 0 | 1 2 | 3 | 1 | 4 3 | 5 | 4 | 9 4 | 7 | 9 | 16 (a) Find the number of red tiles and blue tiles in Figure 5. (b) Find the total number of tiles in Figure 50. (c) Find the percentage of tiles in Figure 50 that are blue.
Work it out on paper, then check below. ▶ See the working
Question 2
A craft club stitches triangular patchwork badges. Each badge, Figure n, is a triangle made up of small orange and purple triangular pieces of felt. The table shows the piece counts for the first four figures. Figure | Orange pieces | Purple pieces | Total pieces 1 | 1 | 0 | 1 2 | 2 | 2 | 4 3 | 3 | 6 | 9 4 | 4 | 12 | 16 (a) Find the number of orange pieces and purple pieces in Figure 5. (b) Find the total number of pieces in Figure 40. (c) Find the percentage of pieces in Figure 40 that are purple.
Work it out on paper, then check below. ▶ See the working