Aussie Maths & Science Teachers: Save your time with SmarterEd
Ben and Lily select a meal each from the table below.
Ben chooses BBQ Chicken and Lily selects Butter Chicken with Steamed Rice.
After eating, Ben cycles and expends energy at 22 kJ/minute.
Lily does yoga and expends 10 kJ/minute.
Who will burn off their meal faster, and by how many minutes? (3 marks)
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Ben uses 45 kilocalories of energy per kilometre when cycling.
He drinks a smoothie that contains 1260 kilojoules of energy. How many kilometres will he need to cycle to use up all the energy from the smoothie? Give your answer correct to one decimal place. (1 kilocalorie = 4.184 kilojoules) (2 marks)
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The table shows the average energy used, in kilojoules per kilogram of body mass, by a person running on a treadmill for 20 minutes at different speeds.
\begin{array} {|c|c|} \hline \rule{0pt}{2.5ex} \text{Running speed} \rule[-1ex]{0pt}{0pt} & \text{Energy used in 20 minutes} \\ \hline \rule{0pt}{2.5ex} \text{6 km/h} \rule[-1ex]{0pt}{0pt} & \text{6.2 kJ/kg} \\ \hline \rule{0pt}{2.5ex} \text{9 km/h} \rule[-1ex]{0pt}{0pt} & \text{9.8 kJ/kg} \\ \hline \end{array}
Jess weighs 72 kg and eats a muffin containing 305 kilocalories.
For approximately how long must Jess run at 9 km/hr to burn off the energy from the muffin? (1 kilocalorie = 4.184 kilojoules)
A health food packet had the following information on its label.
What was the mass of the health food packet to the nearest gram? (2 marks)
Amanda uses 80 kilocalories of energy per kilometre while she is running.
She eats a burger that contains 2180 kilojoules of energy. How many kilometres will she need to run to use up all the energy from the burger? Give your answer correct to one decimal place. (1 kilocalorie = 4.184 kilojoules) (2 marks)
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Cassius is a boxer and skips to keep fit.
The table below shows the average energy used, in kilojuoles per kilogram of body mass, by a person skipping for 10 minutes at different speeds.
Cassius eats a hamburger that contains 550 kilocalories.
If Cassuis weighs 72 kilograms, how long must he skip at 150 skips per minute to burn off the energy contained in the hamburger? (1 kilocalorie = 4.184 kJ) Give your answer to 1 decimal place. (3 marks)
The table shows the average energy used, in kilojoules per kilogram of body mass, by a person walking for 30 minutes at different speeds.
\begin{array} {|c|c|}
\hline
\rule{0pt}{2.5ex} \text{Walking speed} \rule[-1ex]{0pt}{0pt} & \text{Energy used in 30 minutes} \\
\hline
\rule{0pt}{2.5ex} \text{3 km/h} \rule[-1ex]{0pt}{0pt} & \text{5.53 kJ/kg} \\
\hline
\rule{0pt}{2.5ex} \text{5 km/h} \rule[-1ex]{0pt}{0pt} & \text{7.37 kJ/kg} \\
\hline
\end{array}
Rob, who weighs 90 kg, drinks a large cappuccino made with full cream milk. It contains 146 kilocalories.
For approximately how long must Rob walk at 3 km/hr to burn off the energy contained in the cappuccino? (1 kilocalorie = 4.184 kilojoules)
Oscar and Nadine select a meal each from the table below.
Oscar has a hamburger and Nadine has the lamb souvlaki.
After dinner, Oscar goes for a run where he expends energy at 25 kJ/minute.
At the same time, Nadine goes for a brisk walk where she expends 12 kJ/minute.
Who will expend the kilojoule intake from their dinner the quickest, and by how many minutes? (3 marks)
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