Candles of each type were lit at the same time. Abbie thinks that since Candle Type A
burns more quickly than Candle Type B, that it will burn out (have a height of 0 cm) first.
Julie thinks that since Candle Type B starts out much shorter than Candle Type A, it will
be the candle to burn out first.
Task 2: Which candle will burn out first? Give a mathematical explanation to convince
Abbie and Julie of your solution. Clearly identify the quantities involved.
Task 3: Abbie has 3 hours left to film. She lights a new Candle Type A and Candle Type
B and then starts filming. In the 3 hours she has left, will Abbie capture the moment
when the candles are exactly the same height? Explain to Abbie how you can determine
the answer.
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MATHEMATICS PERFORMANCE TASK 61 CHRISTIE WAINWRIGHT