Use this question-bank hub to move from sequence rules and function notation into coordinates, straight lines, graph interpretation and calculus skills.
Here is a sequence of patterns.
Pattern number 1 is made from 1 white dot.
All other patterns are made from black dots and white dots.
In the space below, draw Pattern number 4
Complete the table for the sequence of patterns.
One pattern in the sequence is made with exactly 20 black dots.
Work out the total number of dots in this pattern.
Jalina left her home at 1000 to cycle to a park.
On her way to the park, she stopped at a friend's house and then continued her journey to the park.
Here is the distance-time graph for her journey to the park.
On her journey to the park, did Jalina cycle at a faster speed before or after she stopped at her friend's house?
Give a reason for your answer.
Jalina stayed at the park for 45 minutes.
She then cycled, without stopping, at a constant speed of from the park back to her home.
Work out the value of P when g=7 and h=-4
Show all this information on the distance-time graph.
Simplify