NZ Level 6 (NZC) Level 1 (NCEA)

## Interactive practice questions

A certain ski resort has two ski runs.

a

Find the gradient of ski slope $A$A. Give your answer as a decimal to two decimal places.

b

Find the gradient of ski run $B$B. Give your answer as a decimal to two decimal places.

c

Which run is steeper?

Ski run $A$A

A

Ski run $B$B

B

Ski run $A$A

A

Ski run $B$B

B
Easy
Approx 3 minutes

Find the gradient of the line that passes through Point A $\left(-1,0\right)$(1,0) and Point B $\left(0,3\right)$(0,3) using $m=\frac{\text{rise }}{\text{run }}$m=rise run .

Find the gradient of the line that passes through Point A $\left(2,-6\right)$(2,6) and the origin using $m=\frac{\text{rise }}{\text{run }}$m=rise run .

Find the gradient of the line that passes through Point A $\left(3,5\right)$(3,5) and Point B $\left(1,8\right)$(1,8), using $m=\frac{y_2-y_1}{x_2-x_1}$m=y2y1x2x1.

### Outcomes

#### NA6-7

Relate graphs, tables, and equations to linear, quadratic, and simple exponential relationships found in number and spatial patterns

#### NA6-8

Relate rate of change to the gradient of a graph

#### 91028

Investigate relationships between tables, equations and graphs