Equations
New Zealand
Level 7 - NCEA Level 2
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 a formula that describes the relationship between the number of matches ($m$m) and the number of triangles ($t$t).
$m$m = $\editable{}$ $t$t
c
How many matches are required to make $25$25 triangles using this pattern?
Easy
1min
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 $5$5 minutes.
Easy
2min
When a number is added to both the numerator and denominator of $\frac{1}{5}$15, the result is $\frac{3}{7}$37.
Easy
2min
The perimeter of the trapezium below is $27$27 centimetres.
Easy
2min
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