Middle Years
3.02 Problem solving with linear equations
Interactive practice questions
Matches were used to make the pattern attached:
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a
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) | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ |
b
Write an equation that describes the relationship between the number of matches ($m$m) and the number of triangles ($t$t).
c
How many matches are required to make $21$21 triangles using this pattern?
Easy
2min
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.
Easy
2min
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.
Easy
3min
Consider the points in the table. The time $($($x$x$)$) is measured in minutes.
Easy
2min
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