Year 8 Maths • AC9M8N05 • Authored homework
Rational number and percentage modelling
Practise Rational number and percentage modelling through calculations, explanation, modelling and checking. Show reasoning in full sentences where useful, and check calculations or conclusions before finishing.
Part A
Short-answer questions
Find 15% of $240.
A jacket is discounted by 25% from $80. Find the sale price.
Increase 64 by 12.5% and show your method.
A student subtracts 20 from $200 to find a 20% discount. Correct the method.
Write the rule or formula most useful for Rational number and percentage modelling.
Show how to check one answer using estimation, substitution or inverse operations.
Write one common mistake students make in Rational number and percentage modelling and correct it.
Create a small table, diagram or equation that represents this topic.
State where units, exact form or rounding matter in this topic.
Write one exam-style short question on Rational number and percentage modelling and solve it.
Part B
Long-answer questions
Compare two phone plans: $25 plus $0.10 per text, or $40 with unlimited texts. Find when each is better.
A shop adds 10% GST after a 30% discount. Work out the final price of a $120 item and explain the order.
Solve a multi-step problem involving Rational number and percentage modelling and explain every step clearly.
Create a realistic word problem for Rational number and percentage modelling, solve it and interpret the answer.
Compare two methods for a problem in Rational number and percentage modelling and explain which is more efficient.
Write a worked solution that includes a check for reasonableness.
Create a problem with a deliberate trap, then solve it correctly and explain the trap.
Use a diagram, table, graph or equation to model a situation involving Rational number and percentage modelling.
Explain how this topic connects to a previous Year 7 or Year 8 maths skill.
Write a full-mark response to a challenging Rational number and percentage modelling question, including reasoning and final answer.
Part C
Research and understanding task
Research a real discount, fee, interest or budgeting context. Create a percentage model and solve it.