Matches were used to make the pattern attached:
Complete the table:
Number of triangles ($t$t) | $1$1 | $2$2 | $3$3 | $5$5 | $10$10 | $20$20 |
---|---|---|---|---|---|---|
Number of matches ($m$m) | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ |
Write an equation that describes the relationship between the number of matches ($m$m) and the number of triangles ($t$t).
How many matches are required to make $21$21 triangles using this pattern?
A diver starts at the surface of the water and starts to descend below the surface at a constant rate. The table shows the depth of the diver over $4$4 minutes.
There are $40$40 litres of water in a rainwater tank. It rains for a period of 24 hours and during this time, the tank fills up at a rate of $10$10 Litres per hour.
Consider the points in the table. The time $($($x$x$)$) is measured in minutes.