AC9M4N08 • Test

Mathematical Modelling in Multi-step Problems

Read the quick preparation notes, then start when you are ready.

SkillrHub quiz practice is built for curriculum-aligned revision with answer feedback and a clear review path.

Quick preparation

  • Read the situation and name what is known and what must be found. Use a bar, array or part-part-whole model to show the relationships.
  • Write number sentences that match the situation. Decide whether a part, total, number of groups or amount in each group is missing.
  • Choose an efficient strategy and use a digital tool when helpful. Finish with units and a conclusion that answers the original question.

SkillrHub Test guide

Use this short shuffled test set to check the skill, read feedback and review missed items. Repeat quiz practice to access more of the full question bank over time.

Model: The two parts join to make the whole: 120 + 85 = 205. Both numbers count lids, so the answer is 205 lids.
  • Worked example: Seven art kits cost $18 each, with one $24 delivery charge. The cost is 7 × $18 + $24 = $126 + $24 = $150. A $160 budget is enough, with $10 left.
  • Common mistake: A delivery charge paid once is added once. It is not multiplied by the number of kits. Explain what each number and operation represents.
  • Assessment guidance: Have paper and a pencil ready for model or explanation tasks. An adult checks the completed work against the model answer and marking guidance. Written responses stay pending until checked.
  • Review: Check the model, number sentence, calculation and final sentence against the same situation.
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